Details

analyze56.0ms (0.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
0%	50%	50%	5
6.2%	31.2%	62.5%	6
9.4%	28.1%	62.5%	7
14%	17.2%	68.8%	8
14.8%	16.4%	68.8%	9
17.6%	10.1%	72.3%	10
18.1%	9.2%	72.7%	11
19.6%	5.5%	74.9%	12

Compiler

Compiled 23 to 20 computations (13% saved)

sample1.4s (20.6%)

Results

1.2s	8244×	body	64	valid
198.0ms	1195×	body	64	invalid
3.0ms	12×	body	128	valid

preprocess124.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

2198×	`fma-neg_binary64`
692×	`fma-def_binary64`
350×	`unsub-neg_binary64`
309×	`sub-neg_binary64`
272×	`distribute-rgt-neg-in_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
8	5377	38
9	5997	38
10	6139	38
11	6150	38
12	6154	38
13	6342	38
14	6399	38
15	6399	38
16	6399	38
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

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

Compiler

Compiled 22 to 19 computations (13.6% saved)

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

Compiler

Compiled 109 to 91 computations (16.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 a 9 -3)
✓	0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
✓	0.3b	(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
✓	0.4b	(sqrt.f64 (fma.f64 a 9 -3))

series14.0ms (0.2%)

Counts

4 → 50

Calls

18 calls:

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

rewrite85.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`log-prod_binary64`
492×	`prod-diff_binary64`
350×	`fma-def_binary64`
240×	`pow1/3_binary64`
237×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	287	40
2	3734	40

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

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

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

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

500×	`distribute-rgt-in_binary64`
498×	`distribute-lft-in_binary64`
452×	`associate-/r/_binary64`
408×	`fma-def_binary64`
384×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	969
1	277	935
2	932	906
3	4276	787
4	7814	787

Stop Event

1×	node limit

Counts

246 → 232

Calls

Call 1

Inputs
(sqrt.f64 -3)
(+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(+.f64 (.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))
(+.f64 (.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.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 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 (sqrt.f64 -1/3))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (.f64 rand (sqrt.f64 -1/3))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (sqrt.f64 -1/3))))))
(.f64 -1/3 (+.f64 (.f64 rand (sqrt.f64 -1/3)) 1))
(+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)))
(+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (/.f64 (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
-3
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)

Outputs
(sqrt.f64 -3)
(+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))
(+.f64 (.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))
(fma.f64 -81/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (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))))
(fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 27/8 (/.f64 a (/.f64 (sqrt.f64 -3) a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 -3) (.f64 (/.f64 a (sqrt.f64 -3)) (+.f64 9/2 (/.f64 (.f64 a -81/8) -3))))
(+.f64 (.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.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))))
(fma.f64 -81/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))))
(+.f64 (.f64 27/8 (/.f64 (.f64 a a) (sqrt.f64 -3))) (fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))))
(fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 27/8 (/.f64 a (/.f64 (sqrt.f64 -3) a)) (sqrt.f64 -3))))
(+.f64 (fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (sqrt.f64 -3)) (.f64 (/.f64 a (sqrt.f64 -3)) (+.f64 9/2 (/.f64 (.f64 a -81/8) -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 -1/2 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (.f64 rand (sqrt.f64 -1/3)))
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand))))
(.f64 rand (+.f64 (sqrt.f64 -1/3) (.f64 -1/2 (/.f64 a (sqrt.f64 -1/3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (.f64 rand (sqrt.f64 -1/3))))
(fma.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (.f64 (.f64 a a) rand))) (*.f64 rand (sqrt.f64 -1/3))))
(fma.f64 -1/2 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 rand (sqrt.f64 -1/3) (.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (.f64 a (.f64 a rand)))))))
(fma.f64 rand (sqrt.f64 -1/3) (.f64 -1/2 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) rand (.f64 a (.f64 a (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))))))
(fma.f64 rand (sqrt.f64 -1/3) (.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (+.f64 (.f64 a rand) (.f64 a (.f64 a (*.f64 rand 9/4))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (sqrt.f64 -1/3))))))
(fma.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (.f64 (.f64 a a) rand))) (fma.f64 rand (sqrt.f64 -1/3) (.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 a 3) rand) (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))))))
(fma.f64 -1/2 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (.f64 a (.f64 a rand)))) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (.f64 (pow.f64 a 3) -1/2) (/.f64 (/.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9))))))
(fma.f64 -1/2 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) rand (.f64 a (.f64 a (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))))) (fma.f64 rand (sqrt.f64 -1/3) (.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) (.f64 (.f64 rand -1/2) (+.f64 9 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))))))
(+.f64 (.f64 rand (+.f64 (sqrt.f64 -1/3) (.f64 (/.f64 -9/8 (sqrt.f64 -1/3)) (.f64 a a)))) (.f64 -1/2 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 (.f64 (pow.f64 a 3) 45/8) a))))
(.f64 -1/3 (+.f64 (.f64 rand (sqrt.f64 -1/3)) 1))
(*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))
(fma.f64 rand (*.f64 -1/3 (sqrt.f64 -1/3)) -1/3)
(+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)))
(fma.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))
(fma.f64 a (+.f64 1 (fma.f64 rand (sqrt.f64 -1/3) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (fma.f64 rand (*.f64 -1/3 (sqrt.f64 -1/3)) -1/3))
(+.f64 (.f64 a (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 a -1/3)))
(+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1))))
(fma.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (fma.f64 (.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)))) (.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))))
(fma.f64 a (+.f64 1 (fma.f64 rand (sqrt.f64 -1/3) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (fma.f64 (.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))))
(fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (.f64 a (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))))))))
(fma.f64 a (.f64 a (.f64 rand (+.f64 (/.f64 3/8 (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))))) (+.f64 (.f64 a (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 a -1/3))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (/.f64 (.f64 rand (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (+.f64 9 (.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (fma.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (fma.f64 (.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)))) (.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9)))) (fma.f64 a (+.f64 1 (fma.f64 rand (sqrt.f64 -1/3) (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (fma.f64 (.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (.f64 1/6 (.f64 (+.f64 9 (.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))) (/.f64 rand (sqrt.f64 -1/3))))) (fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (.f64 a (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (.f64 1/6 (.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))))))))
(fma.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 rand 15/16) (sqrt.f64 -1/3)) (.f64 (/.f64 -9/8 (sqrt.f64 -1/3)) rand)) (fma.f64 a (.f64 a (.f64 rand (+.f64 (/.f64 3/8 (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))))) (+.f64 (.f64 a (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 a -1/3)))))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(.f64 (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(.f64 (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(.f64 (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3)))
(.f64 rand (.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 a -1/3)))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(.f64 (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(.f64 (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(.f64 (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3)))
(.f64 rand (.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 rand (+.f64 a -1/3)))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(.f64 (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(.f64 (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(-.f64 (+.f64 a (.f64 (.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(.f64 (+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(.f64 (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
-3
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(*.f64 9 a)
(*.f64 a 9)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(*.f64 9 a)
(*.f64 a 9)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)

prune1.1s (16.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	228	4	232
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	230	4	234

Error

Counts

234 → 4

Alt Table

Status	Error	Program
▶	0.1b	(fma.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))
	31.9b	(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
	0.2b	(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
	10.1b	(/.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)))))

Compiler

Compiled 5123 to 4023 computations (21.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.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))
✓	0.1b	(fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)
✓	0.1b	(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) -1/3)
✓	0.4b	(pow.f64 (fma.f64 a 9 -3) -1/2)

series27.0ms (0.4%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
8.0ms	rand	@	0	(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) -1/3)
3.0ms	a	@	-inf	(fma.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))
2.0ms	a	@	inf	(pow.f64 (fma.f64 a 9 -3) -1/2)
1.0ms	a	@	-inf	(pow.f64 (fma.f64 a 9 -3) -1/2)
1.0ms	a	@	inf	(fma.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))

rewrite71.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

482×	`log-prod_binary64`
391×	`exp-prod_binary64`
310×	`pow2_binary64`
296×	`prod-exp_binary64`
265×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	65
1	264	53
2	2800	53

Stop Event

1×	node limit

Counts

4 → 127

Calls

Call 1

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

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

simplify101.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

671×	`associate-l_binary64`
543×	`associate-r_binary64`
529×	`+-commutative_binary64`
437×	`fma-neg_binary64`
322×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	3320
1	745	2908
2	2563	2316
3	6563	2048

Stop Event

1×	node limit

Counts

211 → 239

Calls

Call 1

Inputs
(sqrt.f64 -1/3)
(+.f64 (.f64 3/2 (.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (.f64 3/2 (.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (.f64 27/8 (.f64 (pow.f64 a 2) (sqrt.f64 -1/3)))))
(+.f64 (.f64 3/2 (.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 135/16 (.f64 (pow.f64 a 3) (sqrt.f64 -1/3))) (.f64 27/8 (.f64 (pow.f64 a 2) (sqrt.f64 -1/3))))))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 2)))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (+.f64 (.f64 5/432 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 3))) (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 2))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a)))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2)))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (.f64 5/432 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))) (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))))))
-1/3
(-.f64 (.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(.f64 -1/3 (.f64 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 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(.f64 -1/3 (.f64 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 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (.f64 -1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(.f64 -1/3 (+.f64 1 (.f64 rand (sqrt.f64 -1/3))))
(+.f64 (.f64 -1/2 (.f64 a (.f64 rand (sqrt.f64 -1/3)))) (.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))
(+.f64 (.f64 -9/8 (.f64 (pow.f64 a 2) (.f64 rand (sqrt.f64 -1/3)))) (+.f64 (.f64 -1/2 (.f64 a (.f64 rand (sqrt.f64 -1/3)))) (.f64 -1/3 (+.f64 1 (.f64 rand (sqrt.f64 -1/3))))))
(+.f64 (.f64 -45/16 (.f64 (pow.f64 a 3) (.f64 rand (sqrt.f64 -1/3)))) (+.f64 (.f64 -9/8 (.f64 (pow.f64 a 2) (.f64 rand (sqrt.f64 -1/3)))) (+.f64 (.f64 -1/2 (.f64 a (.f64 rand (sqrt.f64 -1/3)))) (.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))))
(.f64 -1/3 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))
(+.f64 (.f64 -1/18 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (.f64 -1/3 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))))
(+.f64 (.f64 -1/18 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (.f64 -1/72 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (.f64 -1/3 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))))
(+.f64 (.f64 -1/18 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (.f64 -1/72 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (+.f64 (.f64 -5/1296 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 3))) (.f64 -1/3 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))))))
(.f64 -1/3 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)))
(+.f64 (.f64 -1/3 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (.f64 -1/18 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)))
(+.f64 (.f64 -1/72 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 2))) (+.f64 (.f64 -1/3 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (.f64 -1/18 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a))))
(+.f64 (.f64 -1/72 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 2))) (+.f64 (.f64 -1/3 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (+.f64 (.f64 -1/18 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)) (.f64 -5/1296 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 3))))))
1
(+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) 1)
(+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) 1)
(+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) 1)
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) 1)
(+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) 1)
(+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) 1)
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) 1)
(+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) 1)
(+.f64 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) 1)
(+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)
(+.f64 1 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 3/2 (.f64 a (.f64 rand (sqrt.f64 -1/3))))))
(+.f64 1 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (.f64 3/2 (.f64 a (.f64 rand (sqrt.f64 -1/3)))) (.f64 27/8 (.f64 (pow.f64 a 2) (*.f64 rand (sqrt.f64 -1/3)))))))
(+.f64 (.f64 135/16 (.f64 (pow.f64 a 3) (.f64 rand (sqrt.f64 -1/3)))) (+.f64 1 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (.f64 3/2 (.f64 a (.f64 rand (sqrt.f64 -1/3)))) (.f64 27/8 (.f64 (pow.f64 a 2) (.f64 rand (sqrt.f64 -1/3))))))))
(+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))
(+.f64 1 (+.f64 (.f64 1/6 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (.f64 (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))
(+.f64 1 (+.f64 (.f64 1/6 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (.f64 1/24 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (.f64 (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))))
(+.f64 1 (+.f64 (.f64 1/6 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (.f64 1/24 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (+.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (.f64 5/432 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 3)))))))
(+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))
(+.f64 (.f64 1/6 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)) (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)) (+.f64 1 (+.f64 (.f64 1/24 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 2))) (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)) (+.f64 1 (+.f64 (.f64 1/24 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 2))) (+.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (.f64 5/432 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 3)))))))
(-.f64 a 1/3)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand) a) 1/3)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand) a) 1/3)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand) a) 1/3)
(.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand) a) 1/3)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand) a) 1/3)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand) a) 1/3)
(.f64 -1 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))))
(-.f64 (+.f64 a (.f64 -1 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))))) 1/3)
(-.f64 (+.f64 a (.f64 -1 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))))) 1/3)
(-.f64 (+.f64 a (.f64 -1 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))))) 1/3)
(.f64 -1/3 (+.f64 (.f64 rand (sqrt.f64 -1/3)) 1))
(+.f64 (.f64 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (.f64 -1/2 (.f64 rand (sqrt.f64 -1/3))))) a) (.f64 -1/3 (+.f64 (.f64 rand (sqrt.f64 -1/3)) 1)))
(+.f64 (.f64 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (.f64 -1/2 (.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (.f64 -1/3 (+.f64 (.f64 rand (sqrt.f64 -1/3)) 1)) (.f64 (pow.f64 a 2) (+.f64 (.f64 3/2 (.f64 rand (sqrt.f64 -1/3))) (.f64 -9/8 (*.f64 rand (sqrt.f64 -1/3)))))))
(+.f64 (.f64 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (.f64 -1/2 (.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (.f64 -1/3 (+.f64 (.f64 rand (sqrt.f64 -1/3)) 1)) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 27/8 (.f64 rand (sqrt.f64 -1/3))) (.f64 -45/16 (.f64 rand (sqrt.f64 -1/3))))) (.f64 (pow.f64 a 2) (+.f64 (.f64 3/2 (.f64 rand (sqrt.f64 -1/3))) (.f64 -9/8 (.f64 rand (sqrt.f64 -1/3))))))))
(.f64 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a)
(+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (.f64 -1/3 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) (.f64 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a)))
(+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (.f64 -1/18 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (.f64 -1/3 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) (+.f64 (.f64 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a) (.f64 1/24 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a))))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (.f64 -1/72 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (+.f64 (.f64 -1/18 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (.f64 -1/3 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) (+.f64 (.f64 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a) (+.f64 (.f64 5/432 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (.f64 1/24 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a))))))))
(.f64 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a)
(+.f64 (.f64 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a) (+.f64 (.f64 -1/3 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (.f64 1/6 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))))
(+.f64 (.f64 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a) (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (+.f64 (.f64 -1/3 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (.f64 -1 (/.f64 (+.f64 (.f64 1/18 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (.f64 -1/24 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) a)))))
(+.f64 (.f64 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a) (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (+.f64 (.f64 -1/3 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (+.f64 (.f64 -1/72 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/18 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (.f64 -1/24 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) a)) (.f64 5/432 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 2))))))))

Outputs
(sqrt.f64 -1/3)
(+.f64 (.f64 3/2 (.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(fma.f64 3/2 (*.f64 (sqrt.f64 -1/3) a) (sqrt.f64 -1/3))
(fma.f64 (*.f64 3/2 a) (sqrt.f64 -1/3) (sqrt.f64 -1/3))
(.f64 (sqrt.f64 -1/3) (+.f64 1 (.f64 3/2 a)))
(+.f64 (.f64 3/2 (.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (.f64 27/8 (.f64 (pow.f64 a 2) (sqrt.f64 -1/3)))))
(fma.f64 3/2 (.f64 (sqrt.f64 -1/3) a) (+.f64 (sqrt.f64 -1/3) (.f64 27/8 (.f64 (sqrt.f64 -1/3) (.f64 a a)))))
(fma.f64 3/2 (.f64 (sqrt.f64 -1/3) a) (.f64 (+.f64 (.f64 27/8 (.f64 a a)) 1) (sqrt.f64 -1/3)))
(+.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 -1/3) (.f64 a (+.f64 3/2 (*.f64 a 27/8)))))
(+.f64 (.f64 3/2 (.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 135/16 (.f64 (pow.f64 a 3) (sqrt.f64 -1/3))) (.f64 27/8 (.f64 (pow.f64 a 2) (sqrt.f64 -1/3))))))
(+.f64 (fma.f64 3/2 (.f64 (sqrt.f64 -1/3) a) (sqrt.f64 -1/3)) (fma.f64 135/16 (.f64 (sqrt.f64 -1/3) (pow.f64 a 3)) (.f64 27/8 (.f64 (sqrt.f64 -1/3) (*.f64 a a)))))
(+.f64 (.f64 (sqrt.f64 -1/3) (+.f64 (.f64 27/8 (.f64 a a)) (.f64 135/16 (pow.f64 a 3)))) (fma.f64 (*.f64 3/2 a) (sqrt.f64 -1/3) (sqrt.f64 -1/3)))
(+.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 -1/3) (+.f64 (.f64 3/2 a) (.f64 (.f64 a a) (+.f64 27/8 (*.f64 a 135/16))))))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9)))
(*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2))
(pow.f64 (*.f64 a 9) -1/2)
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) a) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))))
(fma.f64 1/6 (/.f64 (.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) a) (.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)))
(.f64 (+.f64 (/.f64 1/6 a) 1) (pow.f64 (.f64 a 9) -1/2))
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(.f64 -1/3 (fma.f64 (.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) rand 1))
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1
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(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1)
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(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1)
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(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1)
(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
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(.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3))))
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(fma.f64 135/16 (.f64 (sqrt.f64 -1/3) (.f64 (pow.f64 a 3) rand)) (+.f64 (fma.f64 (sqrt.f64 -1/3) rand 1) (.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 (.f64 3/2 a) (.f64 27/8 (*.f64 a a))))))
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(+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))
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(fma.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) rand 1)
(fma.f64 (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) rand 1)
(fma.f64 (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) rand 1)
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(fma.f64 1/6 (/.f64 (pow.f64 -9 -1/2) (/.f64 (/.f64 a rand) (pow.f64 (/.f64 -1 a) 1/2))) (fma.f64 (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) rand 1))
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(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (/.f64 a rand)) (+.f64 1 (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (/.f64 (.f64 a a) rand)) (fma.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) rand (.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (/.f64 (pow.f64 a 3) rand)))))))
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(-.f64 a 1/3)
(+.f64 a -1/3)
(+.f64 -1/3 a)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand) a) 1/3)
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)) rand a) -1/3)
(+.f64 -1/3 (fma.f64 rand (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (+.f64 -1/3 a)) a))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand) a) 1/3)
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)) rand a) -1/3)
(+.f64 -1/3 (fma.f64 rand (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (+.f64 -1/3 a)) a))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand) a) 1/3)
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)) rand a) -1/3)
(+.f64 -1/3 (fma.f64 rand (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (+.f64 -1/3 a)) a))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (+.f64 -1/3 a))
(.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand)
(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 (+.f64 -1/3 a) rand))
(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (+.f64 -1/3 a)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand) a) 1/3)
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)) rand a) -1/3)
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(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (+.f64 -1/3 a))
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(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1/3 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) rand) a) 1/3)
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(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (+.f64 -1/3 a))
(.f64 -1 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))))
(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (.f64 (+.f64 -1/3 a) rand))
(.f64 rand (.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (+.f64 -1/3 a)))
(-.f64 (+.f64 a (.f64 -1 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))))) 1/3)
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)) rand a) -1/3)
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(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (.f64 -1 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))))) 1/3)
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)) rand a) -1/3)
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(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (.f64 -1 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 (.f64 9 a) 3)))) (.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))))) 1/3)
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3)) rand a) -1/3)
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(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (+.f64 -1/3 a))
(.f64 -1/3 (+.f64 (.f64 rand (sqrt.f64 -1/3)) 1))
(*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))
(*.f64 -1/3 (fma.f64 (sqrt.f64 -1/3) rand 1))
(+.f64 (.f64 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (.f64 -1/2 (.f64 rand (sqrt.f64 -1/3))))) a) (.f64 -1/3 (+.f64 (.f64 rand (sqrt.f64 -1/3)) 1)))
(fma.f64 (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (.f64 -1/2 (.f64 (sqrt.f64 -1/3) rand))) a (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))
(fma.f64 a (fma.f64 (sqrt.f64 -1/3) rand (fma.f64 (.f64 -1/2 rand) (sqrt.f64 -1/3) 1)) (.f64 -1/3 (fma.f64 (sqrt.f64 -1/3) rand 1)))
(fma.f64 -1/3 (fma.f64 (sqrt.f64 -1/3) rand 1) (+.f64 a (.f64 a (.f64 1/2 (*.f64 (sqrt.f64 -1/3) rand)))))
(fma.f64 -1/3 (fma.f64 (sqrt.f64 -1/3) rand 1) (+.f64 a (.f64 a (.f64 (sqrt.f64 -1/3) (*.f64 1/2 rand)))))
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(fma.f64 (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (.f64 -1/2 (.f64 (sqrt.f64 -1/3) rand))) a (fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (.f64 (.f64 a a) (.f64 (.f64 (sqrt.f64 -1/3) rand) 3/8))))
(fma.f64 a (fma.f64 (sqrt.f64 -1/3) rand (fma.f64 (.f64 -1/2 rand) (sqrt.f64 -1/3) 1)) (fma.f64 (.f64 a a) (.f64 (sqrt.f64 -1/3) (.f64 rand 3/8)) (*.f64 -1/3 (fma.f64 (sqrt.f64 -1/3) rand 1))))
(fma.f64 a (+.f64 1 (.f64 1/2 (.f64 (sqrt.f64 -1/3) rand))) (+.f64 -1/3 (.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 -1/3 (.f64 (.f64 3/8 a) a)))))
(fma.f64 a (+.f64 1 (.f64 (sqrt.f64 -1/3) (.f64 1/2 rand))) (+.f64 -1/3 (.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 -1/3 (.f64 (.f64 3/8 a) a)))))
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(fma.f64 a (fma.f64 (sqrt.f64 -1/3) rand (fma.f64 (.f64 -1/2 rand) (sqrt.f64 -1/3) 1)) (fma.f64 -1/3 (fma.f64 (sqrt.f64 -1/3) rand 1) (fma.f64 (.f64 a a) (.f64 (sqrt.f64 -1/3) (.f64 rand 3/8)) (.f64 (.f64 (sqrt.f64 -1/3) rand) (*.f64 9/16 (pow.f64 a 3))))))
(fma.f64 a (+.f64 1 (.f64 1/2 (.f64 (sqrt.f64 -1/3) rand))) (fma.f64 -1/3 (fma.f64 (sqrt.f64 -1/3) rand 1) (.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 (.f64 (.f64 3/8 a) a) (*.f64 (pow.f64 a 3) 9/16)))))
(fma.f64 a (+.f64 1 (.f64 (sqrt.f64 -1/3) (.f64 1/2 rand))) (fma.f64 -1/3 (fma.f64 (sqrt.f64 -1/3) rand 1) (.f64 (.f64 (sqrt.f64 -1/3) rand) (+.f64 (.f64 (.f64 3/8 a) a) (*.f64 (pow.f64 a 3) 9/16)))))
(.f64 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a)
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(.f64 a (fma.f64 (.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) rand 1))
(.f64 a (fma.f64 (pow.f64 (.f64 a 9) -1/2) rand 1))
(+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (.f64 -1/3 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) (.f64 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a)))
(fma.f64 1/6 (.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) rand) (fma.f64 -1/3 (+.f64 1 (.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) rand)) (.f64 a (+.f64 1 (.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) rand)))))
(fma.f64 1/6 (.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) rand) (.f64 (fma.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) rand 1) (+.f64 -1/3 a)))
(fma.f64 1/6 (.f64 (.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) rand) (.f64 (fma.f64 (.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) rand 1) (+.f64 -1/3 a)))
(fma.f64 1/6 (.f64 (pow.f64 (.f64 a 9) -1/2) rand) (.f64 (fma.f64 (pow.f64 (.f64 a 9) -1/2) rand 1) (+.f64 -1/3 a)))
(+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (.f64 -1/18 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (.f64 -1/3 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) (+.f64 (.f64 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a) (.f64 1/24 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a))))))
(fma.f64 1/6 (.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) rand) (fma.f64 -1/18 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 a rand)) (fma.f64 -1/3 (+.f64 1 (.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) rand)) (fma.f64 (+.f64 1 (.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) rand)) a (.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 a rand)))))))
(fma.f64 1/6 (.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) rand) (fma.f64 -1/18 (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) a) rand) (+.f64 (.f64 (fma.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) rand 1) (+.f64 -1/3 a)) (/.f64 (.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1/24) (/.f64 a rand)))))
(fma.f64 1/6 (.f64 (.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) rand) (+.f64 (.f64 (fma.f64 (.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) rand 1) (+.f64 -1/3 a)) (.f64 (.f64 (/.f64 (*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) a) rand) -1/72)))
(fma.f64 1/6 (.f64 (pow.f64 (.f64 a 9) -1/2) rand) (+.f64 (.f64 (fma.f64 (pow.f64 (.f64 a 9) -1/2) rand 1) (+.f64 -1/3 a)) (.f64 (.f64 (/.f64 (pow.f64 (*.f64 a 9) -1/2) a) rand) -1/72)))
(+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (.f64 -1/72 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (+.f64 (.f64 -1/18 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (.f64 -1/3 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) (+.f64 (.f64 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a) (+.f64 (.f64 5/432 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (.f64 1/24 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a))))))))
(fma.f64 1/6 (.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) rand) (fma.f64 -1/72 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 (.f64 a a) rand)) (fma.f64 -1/18 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 a rand)) (fma.f64 -1/3 (+.f64 1 (.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) rand)) (fma.f64 (+.f64 1 (.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) rand)) a (fma.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 (.f64 a a) rand)) (.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 a rand)))))))))
(fma.f64 1/6 (.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) rand) (fma.f64 -1/72 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) (/.f64 a (/.f64 rand a))) (fma.f64 -1/18 (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) a) rand) (+.f64 (.f64 (fma.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) rand 1) (+.f64 -1/3 a)) (fma.f64 1/24 (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) a) rand) (*.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) (/.f64 a (/.f64 rand a)))))))))
(fma.f64 1/6 (.f64 (.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) rand) (+.f64 (.f64 (.f64 (/.f64 (.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) a) rand) (+.f64 (/.f64 5/432 a) 1/24)) (+.f64 (.f64 (fma.f64 (.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) rand 1) (+.f64 -1/3 a)) (.f64 (.f64 (/.f64 (.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) a) rand) (+.f64 -1/18 (/.f64 -1/72 a))))))
(fma.f64 1/6 (.f64 (pow.f64 (.f64 a 9) -1/2) rand) (+.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 a 9) -1/2) a) rand) (+.f64 (/.f64 5/432 a) 1/24)) (+.f64 (.f64 (fma.f64 (pow.f64 (.f64 a 9) -1/2) rand 1) (+.f64 -1/3 a)) (.f64 (.f64 (/.f64 (pow.f64 (.f64 a 9) -1/2) a) rand) (+.f64 -1/18 (/.f64 -1/72 a))))))
(.f64 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a)
(.f64 a (+.f64 1 (.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) rand)))
(*.f64 a (fma.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) rand 1))
(.f64 a (fma.f64 (.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) rand 1))
(*.f64 a (fma.f64 (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) rand 1))
(+.f64 (.f64 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a) (+.f64 (.f64 -1/3 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (.f64 1/6 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))))
(fma.f64 (+.f64 1 (.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) rand)) a (fma.f64 -1/3 (+.f64 1 (.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) rand)) (.f64 1/6 (.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) rand))))
(+.f64 (.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (.f64 rand 1/6)) (*.f64 (fma.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) rand 1) (+.f64 -1/3 a)))
(fma.f64 a (fma.f64 (.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) rand 1) (+.f64 -1/3 (.f64 (.f64 (pow.f64 -9 -1/2) (.f64 (pow.f64 (/.f64 -1 a) 1/2) rand)) -1/6)))
(fma.f64 a (fma.f64 (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) rand 1) (+.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) rand) -1/6)))
(+.f64 (.f64 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a) (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (+.f64 (.f64 -1/3 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (.f64 -1 (/.f64 (+.f64 (.f64 1/18 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (.f64 -1/24 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) a)))))
(fma.f64 (+.f64 1 (.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) rand)) a (fma.f64 1/6 (.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) rand) (fma.f64 -1/3 (+.f64 1 (.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) rand)) (neg.f64 (/.f64 (.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) rand) 1/72) a)))))
(+.f64 (+.f64 (.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (.f64 rand 1/6)) (.f64 (fma.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) rand 1) (+.f64 -1/3 a))) (/.f64 (neg.f64 (.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (*.f64 rand 1/72))) a))
(+.f64 (/.f64 (.f64 (.f64 (.f64 rand -1/72) (pow.f64 -9 -1/2)) (pow.f64 (/.f64 -1 a) 1/2)) a) (fma.f64 a (fma.f64 (.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) rand 1) (+.f64 -1/3 (.f64 (.f64 (pow.f64 -9 -1/2) (*.f64 (pow.f64 (/.f64 -1 a) 1/2) rand)) -1/6))))
(fma.f64 a (fma.f64 (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) rand 1) (+.f64 -1/3 (fma.f64 (*.f64 (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) rand) -1/6 (/.f64 -1/72 (/.f64 (/.f64 a rand) (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2))))))
(+.f64 (.f64 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a) (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (+.f64 (.f64 -1/3 (+.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (+.f64 (.f64 -1/72 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/18 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (.f64 -1/24 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) a)) (.f64 5/432 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 2))))))))
(fma.f64 (+.f64 1 (.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) rand)) a (fma.f64 1/6 (.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) rand) (fma.f64 -1/3 (+.f64 1 (.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) rand)) (fma.f64 -1/72 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (/.f64 (.f64 a a) rand)) (fma.f64 -1 (/.f64 (.f64 (.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) rand) 1/72) a) (.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (/.f64 (.f64 a a) rand))))))))
(+.f64 (+.f64 (.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (.f64 rand 1/6)) (.f64 (fma.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) rand 1) (+.f64 -1/3 a))) (fma.f64 -1/72 (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) a) (/.f64 rand a)) (fma.f64 5/432 (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) a) (/.f64 rand a)) (/.f64 (neg.f64 (.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (*.f64 rand 1/72))) a))))
(+.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 rand -1/72) (pow.f64 -9 -1/2)) (pow.f64 (/.f64 -1 a) 1/2)) a) (.f64 (/.f64 (pow.f64 -9 -1/2) (/.f64 (.f64 (/.f64 a rand) a) (pow.f64 (/.f64 -1 a) 1/2))) -1/432)) (fma.f64 a (fma.f64 (.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) rand 1) (+.f64 -1/3 (.f64 (.f64 (pow.f64 -9 -1/2) (*.f64 (pow.f64 (/.f64 -1 a) 1/2) rand)) -1/6))))
(+.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) a) (/.f64 rand a)) -1/432 (/.f64 -1/72 (/.f64 (/.f64 a rand) (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2)))) (fma.f64 a (fma.f64 (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) rand 1) (+.f64 -1/3 (.f64 (*.f64 (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) rand) -1/6))))

prune2.1s (31.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	353	0	353
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	353	4	357

Error

Counts

357 → 4

Alt Table

Status	Error	Program
✓	0.1b	(fma.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))
	31.9b	(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
▶	0.2b	(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
	10.1b	(/.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)))))

Compiler

Compiled 11586 to 9369 computations (19.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
	0.3b	(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
	0.4b	(sqrt.f64 (fma.f64 a 9 -3))
✓	6.9b	(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (+.f64 a -1/3)))

series14.0ms (0.2%)

Counts

2 → 39

Calls

12 calls:

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

rewrite68.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

607×	`log-prod_binary64`
344×	`pow2_binary64`
240×	`pow1/3_binary64`
237×	`expm1-udef_binary64`
237×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	280	40
2	3442	38

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

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

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

939×	`times-frac_binary64`
736×	`associate-/l*_binary64`
550×	`cancel-sign-sub-inv_binary64`
379×	`associate-r_binary64`
373×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	642
1	142	612
2	380	599
3	1442	593
4	7416	593

Stop Event

1×	node limit

Counts

104 → 83

Calls

Call 1

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

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

prune673.0ms (9.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	168	1	169
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	169	4	173

Error

Counts

173 → 4

Alt Table

Status	Error	Program
✓	0.1b	(fma.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))
	31.9b	(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
✓	0.2b	(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
▶	0.2b	(fma.f64 (.f64 (.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))

Compiler

Compiled 4284 to 3323 computations (22.4% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(sqrt.f64 (fma.f64 a 9 -3))
✓	0.5b	(cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))
✓	0.8b	(cbrt.f64 (fma.f64 a 9 -3))
✓	6.9b	(.f64 (.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (+.f64 a -1/3)))

series14.0ms (0.2%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(cbrt.f64 (fma.f64 a 9 -3))
4.0ms	a	@	0	(cbrt.f64 (fma.f64 a 9 -3))
1.0ms	a	@	-inf	(.f64 (.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (+.f64 a -1/3)))
1.0ms	a	@	inf	(cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))
1.0ms	a	@	-inf	(cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`log-prod_binary64`
287×	`pow1/3_binary64`
282×	`expm1-udef_binary64`
282×	`log1p-udef_binary64`
262×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	45
1	358	33
2	4411	33

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Rules

724×	`associate-/l*_binary64`
692×	`unswap-sqr_binary64`
488×	`associate-/r*_binary64`
461×	`*-commutative_binary64`
383×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	847
1	270	773
2	732	644
3	2572	577
4	6929	577

Stop Event

1×	node limit

Counts

121 → 114

Calls

Call 1

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

Outputs
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(.f64 (sqrt.f64 (/.f64 (-.f64 a 1/3) (-.f64 (.f64 9 a) 3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 a 9 -3))))
(.f64 (sqrt.f64 (/.f64 (-.f64 a 1/3) (-.f64 (.f64 9 a) 3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 a 9 -3))))
(.f64 (sqrt.f64 (/.f64 (-.f64 a 1/3) (-.f64 (.f64 9 a) 3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 a 9 -3))))
(.f64 (sqrt.f64 (/.f64 (-.f64 a 1/3) (-.f64 (.f64 9 a) 3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 a 9 -3))))
(.f64 (sqrt.f64 (/.f64 (-.f64 a 1/3) (-.f64 (.f64 9 a) 3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 a 9 -3))))
(.f64 (sqrt.f64 (/.f64 (-.f64 a 1/3) (-.f64 (.f64 9 a) 3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 a 9 -3))))
(.f64 (sqrt.f64 (/.f64 (-.f64 a 1/3) (-.f64 (.f64 9 a) 3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 a 9 -3))))
(.f64 (sqrt.f64 (/.f64 (-.f64 a 1/3) (-.f64 (.f64 9 a) 3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 a 9 -3))))
(.f64 (sqrt.f64 (/.f64 (-.f64 a 1/3) (-.f64 (.f64 9 a) 3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 a 9 -3))))
(.f64 (sqrt.f64 (/.f64 (-.f64 a 1/3) (-.f64 (.f64 9 a) 3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 a 9 -3))))
(.f64 (sqrt.f64 (/.f64 (-.f64 a 1/3) (-.f64 (.f64 9 a) 3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 a 9 -3))))
(.f64 (sqrt.f64 (/.f64 (-.f64 a 1/3) (-.f64 (.f64 9 a) 3))) rand)
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 (+.f64 a -1/3) (fma.f64 a 9 -3))))
(cbrt.f64 -3)
(+.f64 (.f64 3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2)) 1/3) a)) (cbrt.f64 -3))
(fma.f64 3 (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2)))) (cbrt.f64 -3))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2))) (*.f64 a 3) (cbrt.f64 -3))
(fma.f64 a (*.f64 3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2)))) (cbrt.f64 -3))
(+.f64 (.f64 3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2)) 1/3) a)) (+.f64 (cbrt.f64 -3) (.f64 -9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 7)) 1/3) (pow.f64 a 2)))))
(+.f64 (fma.f64 3 (.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2)))) (cbrt.f64 -3)) (.f64 -9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 7))) (.f64 a a))))
(fma.f64 3 (.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2)))) (fma.f64 -9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 7))) (*.f64 a a)) (cbrt.f64 -3)))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2))) (.f64 a 3) (fma.f64 -9 (.f64 a (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 7))))) (cbrt.f64 -3)))
(fma.f64 a (.f64 3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2)))) (fma.f64 -9 (.f64 a (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 7))))) (cbrt.f64 -3)))
(+.f64 (.f64 3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2)) 1/3) a)) (+.f64 (cbrt.f64 -3) (+.f64 (.f64 -9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 7)) 1/3) (pow.f64 a 2))) (*.f64 45 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 -3) 4))))))
(+.f64 (fma.f64 3 (.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2)))) (cbrt.f64 -3)) (fma.f64 -9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 7))) (.f64 a a)) (/.f64 (.f64 45 (pow.f64 a 3)) (pow.f64 (cbrt.f64 -3) 4))))
(+.f64 (fma.f64 -9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 7))) (.f64 a a)) (.f64 45 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 -3) 4)))) (fma.f64 3 (.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2)))) (cbrt.f64 -3)))
(+.f64 (cbrt.f64 -3) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2))) (.f64 a 3) (fma.f64 -9 (.f64 a (.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 7))))) (.f64 (/.f64 (pow.f64 a 3) (cbrt.f64 -3)) -15))))
(+.f64 (cbrt.f64 -3) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 2))) (.f64 a 3) (fma.f64 -9 (.f64 a (.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -3) 7))))) (.f64 (pow.f64 a 3) (/.f64 -15 (cbrt.f64 -3))))))
(pow.f64 -3 1/6)
(+.f64 (pow.f64 -3 1/6) (.f64 -1/2 (.f64 a (pow.f64 -3 1/6))))
(.f64 (+.f64 (.f64 a -1/2) 1) (pow.f64 -3 1/6))
(*.f64 (pow.f64 -3 1/6) (fma.f64 a -1/2 1))
(+.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) (fma.f64 -1/2 (.f64 a (pow.f64 -3 1/6)) (.f64 -5/8 (.f64 (.f64 a a) (pow.f64 -3 1/6)))))
(+.f64 (pow.f64 -3 1/6) (.f64 (pow.f64 -3 1/6) (+.f64 (.f64 (.f64 a a) -5/8) (.f64 a -1/2))))
(.f64 (pow.f64 -3 1/6) (+.f64 (fma.f64 a -1/2 1) (.f64 (*.f64 a a) -5/8)))
(.f64 (pow.f64 -3 1/6) (+.f64 1 (.f64 a (+.f64 -1/2 (*.f64 a -5/8)))))
(+.f64 (pow.f64 -3 1/6) (+.f64 (.f64 -1/2 (.f64 a (pow.f64 -3 1/6))) (+.f64 (.f64 -55/48 (.f64 (pow.f64 a 3) (pow.f64 -3 1/6))) (.f64 -5/8 (.f64 (pow.f64 a 2) (pow.f64 -3 1/6))))))
(+.f64 (pow.f64 -3 1/6) (fma.f64 -1/2 (.f64 a (pow.f64 -3 1/6)) (fma.f64 -55/48 (.f64 (pow.f64 a 3) (pow.f64 -3 1/6)) (.f64 -5/8 (.f64 (*.f64 a a) (pow.f64 -3 1/6))))))
(+.f64 (.f64 (+.f64 (.f64 a -1/2) 1) (pow.f64 -3 1/6)) (.f64 (pow.f64 -3 1/6) (+.f64 (.f64 (.f64 a a) -5/8) (.f64 (pow.f64 a 3) -55/48))))
(fma.f64 (pow.f64 -3 1/6) (.f64 (.f64 a a) (+.f64 -5/8 (.f64 a -55/48))) (.f64 (pow.f64 -3 1/6) (fma.f64 a -1/2 1)))
(.f64 (pow.f64 -3 1/6) (+.f64 (.f64 a (.f64 a (+.f64 -5/8 (.f64 a -55/48)))) (fma.f64 a -1/2 1)))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9))))
(pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 9)))
(*.f64 (pow.f64 a 1/6) (pow.f64 9 1/6))
(pow.f64 (*.f64 a 9) 1/6)
(+.f64 (.f64 -1/18 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))))
(fma.f64 -1/18 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) a) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))
(fma.f64 -1/18 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 9))) a) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 9))))
(fma.f64 (pow.f64 a 1/6) (pow.f64 9 1/6) (/.f64 -1/18 (/.f64 (/.f64 a (pow.f64 a 1/6)) (pow.f64 9 1/6))))
(.f64 (+.f64 (/.f64 -1/18 a) 1) (pow.f64 (.f64 a 9) 1/6))
(+.f64 (.f64 -1/18 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (.f64 -5/648 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 2))) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9))))))
(fma.f64 -1/18 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) a) (fma.f64 -5/648 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (*.f64 a a)) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))))
(fma.f64 -1/18 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 9))) a) (fma.f64 -5/648 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 9))) (*.f64 a a)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 9)))))
(fma.f64 (pow.f64 a 1/6) (pow.f64 9 1/6) (.f64 (/.f64 (.f64 (pow.f64 a 1/6) (pow.f64 9 1/6)) a) (+.f64 -1/18 (/.f64 -5/648 a))))
(+.f64 (pow.f64 (.f64 a 9) 1/6) (.f64 (/.f64 (pow.f64 (*.f64 a 9) 1/6) a) (+.f64 -1/18 (/.f64 -5/648 a))))
(+.f64 (.f64 -1/18 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (.f64 -55/34992 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 3))) (+.f64 (.f64 -5/648 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 2))) (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))))))
(fma.f64 -1/18 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) a) (fma.f64 -55/34992 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (pow.f64 a 3)) (fma.f64 -5/648 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (*.f64 a a)) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))))
(fma.f64 -1/18 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 9))) a) (fma.f64 -55/34992 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 9))) (pow.f64 a 3)) (fma.f64 -5/648 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 9))) (*.f64 a a)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 9))))))
(fma.f64 -1/18 (/.f64 (.f64 (pow.f64 a 1/6) (pow.f64 9 1/6)) a) (fma.f64 (pow.f64 a 1/6) (pow.f64 9 1/6) (.f64 (*.f64 (/.f64 (pow.f64 a 1/6) a) (/.f64 (pow.f64 9 1/6) a)) (+.f64 (/.f64 -55/34992 a) -5/648))))
(+.f64 (pow.f64 (.f64 a 9) 1/6) (.f64 (/.f64 (pow.f64 (.f64 a 9) 1/6) a) (+.f64 (+.f64 -1/18 (/.f64 -55/34992 (.f64 a a))) (/.f64 -5/648 a))))
(+.f64 (pow.f64 (.f64 a 9) 1/6) (.f64 (/.f64 (pow.f64 (.f64 a 9) 1/6) a) (+.f64 (+.f64 -1/18 (/.f64 -5/648 a)) (/.f64 -55/34992 (.f64 a a)))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 9)))
(*.f64 (pow.f64 a 1/6) (pow.f64 9 1/6))
(pow.f64 (*.f64 a 9) 1/6)
(+.f64 (.f64 -1/18 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (exp.f64 (.f64 1/6 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))
(fma.f64 -1/18 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) a) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))
(fma.f64 -1/18 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 9))) a) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 9))))
(fma.f64 (pow.f64 a 1/6) (pow.f64 9 1/6) (/.f64 -1/18 (/.f64 (/.f64 a (pow.f64 a 1/6)) (pow.f64 9 1/6))))
(.f64 (+.f64 (/.f64 -1/18 a) 1) (pow.f64 (.f64 a 9) 1/6))
(+.f64 (.f64 -5/648 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))) (+.f64 (.f64 -1/18 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (exp.f64 (.f64 1/6 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a))))))))
(fma.f64 -1/18 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) a) (fma.f64 -5/648 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (*.f64 a a)) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))))
(fma.f64 -1/18 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 9))) a) (fma.f64 -5/648 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 9))) (*.f64 a a)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 9)))))
(fma.f64 (pow.f64 a 1/6) (pow.f64 9 1/6) (.f64 (/.f64 (.f64 (pow.f64 a 1/6) (pow.f64 9 1/6)) a) (+.f64 -1/18 (/.f64 -5/648 a))))
(+.f64 (pow.f64 (.f64 a 9) 1/6) (.f64 (/.f64 (pow.f64 (*.f64 a 9) 1/6) a) (+.f64 -1/18 (/.f64 -5/648 a))))
(+.f64 (.f64 -5/648 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))) (+.f64 (.f64 -1/18 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -9) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 -55/34992 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))))))
(fma.f64 -1/18 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) a) (fma.f64 -55/34992 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (pow.f64 a 3)) (fma.f64 -5/648 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (*.f64 a a)) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))))
(fma.f64 -1/18 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 9))) a) (fma.f64 -55/34992 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 9))) (pow.f64 a 3)) (fma.f64 -5/648 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 9))) (*.f64 a a)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 9))))))
(fma.f64 -1/18 (/.f64 (.f64 (pow.f64 a 1/6) (pow.f64 9 1/6)) a) (fma.f64 (pow.f64 a 1/6) (pow.f64 9 1/6) (.f64 (*.f64 (/.f64 (pow.f64 a 1/6) a) (/.f64 (pow.f64 9 1/6) a)) (+.f64 (/.f64 -55/34992 a) -5/648))))
(+.f64 (pow.f64 (.f64 a 9) 1/6) (.f64 (/.f64 (pow.f64 (.f64 a 9) 1/6) a) (+.f64 (+.f64 -1/18 (/.f64 -55/34992 (.f64 a a))) (/.f64 -5/648 a))))
(+.f64 (pow.f64 (.f64 a 9) 1/6) (.f64 (/.f64 (pow.f64 (.f64 a 9) 1/6) a) (+.f64 (+.f64 -1/18 (/.f64 -5/648 a)) (/.f64 -55/34992 (.f64 a a)))))

prune509.0ms (7.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	147	4	151

Error

Counts

151 → 4

Alt Table

Status	Error	Program
✓	0.1b	(fma.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))
	31.9b	(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
✓	0.2b	(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
✓	0.2b	(fma.f64 (.f64 (.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))

Compiler

Compiled 5237 to 4269 computations (18.5% saved)

regimes27.0ms (0.4%)

Accuracy

Total -38.1b remaining (-36140.2%)

Threshold costs -38.1b (-36140.2%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(fma.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))

Results

5.0ms	0.1b	`a`
6.0ms	0.1b	`rand`
6.0ms	0.1b	`(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))`
5.0ms	0.1b	`(-.f64 a (/.f64 1 3))`

Compiler

Compiled 186 to 146 computations (21.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	16	30

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.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))

Outputs
(fma.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))

end26.0ms (0.4%)

Stop Event

1×

fuel

Compiler

Compiled 48 to 38 computations (20.8% saved)

Details

analyze56.0ms (0.8%)

sample1.4s (20.6%)

preprocess124.0ms (1.8%)

simplify67.0ms (1%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

series14.0ms (0.2%)

rewrite85.0ms (1.2%)

simplify71.0ms (1%)

prune1.1s (16.4%)

localize12.0ms (0.2%)

series27.0ms (0.4%)

rewrite71.0ms (1%)

simplify101.0ms (1.5%)

prune2.1s (31.1%)

localize10.0ms (0.1%)

series14.0ms (0.2%)

rewrite68.0ms (1%)

simplify56.0ms (0.8%)

prune673.0ms (9.9%)

localize15.0ms (0.2%)

series14.0ms (0.2%)

rewrite64.0ms (0.9%)

simplify67.0ms (1%)

prune509.0ms (7.5%)

regimes27.0ms (0.4%)

simplify2.0ms (0%)

end26.0ms (0.4%)

Profiling