Details

analyze68.0ms (0.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
51.6%	50%	46.8%	0.1%	3.1%	0%	0%	7
60%	56.2%	37.5%	0.1%	6.2%	0%	0%	8
70.8%	62.4%	25.8%	0.1%	11.7%	0%	0%	9
76.4%	65.6%	20.3%	0.1%	14%	0%	0%	10
83.6%	68.7%	13.5%	0.1%	17.8%	0%	0%	11
87%	70.2%	10.5%	0.1%	19.1%	0%	0%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample1.1s (15%)

Results

1.0s	8256×	body	256	valid
53.0ms	585×	body	256	infinite

Bogosity

preprocess73.0ms (1%)

Algorithm

2×	egg-herbie

Rules

620×	`fma-def_binary64`
612×	`fma-neg_binary64`
500×	`div-sub_binary64`
478×	`distribute-rgt-in_binary64`
460×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	41	32
2	133	32
3	393	32
4	1405	32
5	6450	32
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
(/.f64 (.f64 (-.f64 1 y) (-.f64 3 y)) (.f64 x 3))

Outputs
(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
(/.f64 (-.f64 3 x) (/.f64 3 (/.f64 (-.f64 1 x) y)))
(.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (.f64 3 y)))
(/.f64 (.f64 (-.f64 1 y) (-.f64 3 y)) (.f64 x 3))
(*.f64 (/.f64 (-.f64 1 y) x) (/.f64 (-.f64 3 y) 3))
(*.f64 (/.f64 (-.f64 3 y) x) (/.f64 (-.f64 1 y) 3))
(*.f64 (/.f64 (-.f64 3 y) x) (-.f64 1/3 (/.f64 y 3)))
(.f64 (-.f64 1 y) (.f64 (-.f64 3 y) (/.f64 1/3 x)))
(.f64 (-.f64 1 y) (/.f64 (-.f64 3 y) (.f64 x 3)))

Compiler

Compiled 15 to 12 computations (20% saved)

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

420×	`unsub-neg_binary64`
339×	`associate-/l*_binary64`
308×	`fma-def_binary64`
306×	`fma-neg_binary64`
295×	`associate-*l/_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	24	16
2	71	16
3	204	16
4	732	16
5	3323	14
6	7935	14

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

Outputs
(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))
(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))

eval2.0ms (0%)

Compiler: Compiled 67 to 49 computations (26.9% saved)

prune5.0ms (0.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	1	5	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	6	7

Error

0.0b

Counts

7 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.5b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
▶	6.6b	(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
▶	0.1b	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
▶	0.1b	(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))
▶	0.4b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))

Compiler

Compiled 128 to 98 computations (23.4% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 x) y)
✓	0.0b	(/.f64 (-.f64 3 x) 3)
✓	0.1b	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

Compiler

Compiled 33 to 23 computations (30.3% saved)

series8.0ms (0.1%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
1.0ms	x	@	0	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
1.0ms	x	@	0	(/.f64 (-.f64 3 x) 3)
1.0ms	y	@	inf	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
1.0ms	x	@	-inf	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

rewrite71.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

590×	`log-prod_binary64`
316×	`pow2_binary64`
270×	`log-div_binary64`
263×	`prod-diff_binary64`
221×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	237	30
2	3471	30

Stop Event

1×	node limit

Counts

3 → 170

Calls

Call 1

Inputs
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
(/.f64 (-.f64 3 x) 3)
(/.f64 (-.f64 1 x) y)

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

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

simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

427×	`div-sub_binary64`
388×	`log-prod_binary64`
257×	`cube-prod_binary64`
253×	`fma-neg_binary64`
220×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	441	3682
1	1126	3043
2	4403	2825

Stop Event

1×	node limit

Counts

218 → 221

Calls

Call 1

Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
1
(+.f64 1 (*.f64 -1/3 x))
(+.f64 1 (*.f64 -1/3 x))
(+.f64 1 (*.f64 -1/3 x))
(*.f64 -1/3 x)
(+.f64 1 (*.f64 -1/3 x))
(+.f64 1 (*.f64 -1/3 x))
(+.f64 1 (*.f64 -1/3 x))
(*.f64 -1/3 x)
(+.f64 1 (*.f64 -1/3 x))
(+.f64 1 (*.f64 -1/3 x))
(+.f64 1 (*.f64 -1/3 x))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 0 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (.f64 x 1/3))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y))) (-.f64 3 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y))) (-.f64 3 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y))) (-.f64 3 x)))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y))) (-.f64 3 x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (.f64 x 1/3))))) 1)
(/.f64 1 (*.f64 (/.f64 y (-.f64 1 x)) (/.f64 3 (-.f64 3 x))))
(/.f64 1 (*.f64 (/.f64 3 (-.f64 3 x)) (/.f64 y (-.f64 1 x))))
(/.f64 1 (/.f64 (.f64 y 3) (.f64 (-.f64 1 x) (-.f64 3 x))))
(/.f64 1 (/.f64 y (.f64 (-.f64 1 x) (-.f64 1 (.f64 x 1/3)))))
(/.f64 1 (/.f64 3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))))
(/.f64 (-.f64 1 x) (*.f64 y (/.f64 3 (-.f64 3 x))))
(/.f64 (-.f64 1 x) (*.f64 (/.f64 3 (-.f64 3 x)) y))
(/.f64 (-.f64 1 x) (/.f64 (*.f64 y 3) (-.f64 3 x)))
(/.f64 (-.f64 1 x) (/.f64 y (-.f64 1 (*.f64 x 1/3))))
(/.f64 (/.f64 (-.f64 1 x) y) (/.f64 3 (-.f64 3 x)))
(/.f64 (-.f64 3 x) (*.f64 (/.f64 y (-.f64 1 x)) 3))
(/.f64 (-.f64 3 x) (*.f64 3 (/.f64 y (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 x 1/3)) (/.f64 y (-.f64 1 x)))
(/.f64 (neg.f64 (-.f64 3 x)) (*.f64 (/.f64 y (-.f64 1 x)) -3))
(/.f64 (neg.f64 (-.f64 1 x)) (*.f64 (/.f64 3 (-.f64 3 x)) (neg.f64 y)))
(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
(/.f64 (.f64 (-.f64 1 x) (-.f64 1 (.f64 x 1/3))) y)
(/.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)) 3)
(/.f64 (neg.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) (neg.f64 (.f64 y 3)))
(/.f64 (neg.f64 (.f64 (-.f64 1 x) (-.f64 1 (.f64 x 1/3)))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))) -3)
(/.f64 (.f64 (neg.f64 (-.f64 1 x)) 1) (.f64 (neg.f64 y) (/.f64 3 (-.f64 3 x))))
(/.f64 (.f64 (neg.f64 (-.f64 3 x)) 1) (.f64 -3 (/.f64 y (-.f64 1 x))))
(/.f64 (.f64 (neg.f64 (-.f64 1 x)) (-.f64 3 x)) (.f64 (neg.f64 y) 3))
(/.f64 (.f64 (-.f64 1 x) (neg.f64 (-.f64 3 x))) (.f64 y -3))
(/.f64 (.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 3 x))) (.f64 (neg.f64 y) -3))
(/.f64 (.f64 (neg.f64 (-.f64 3 x)) (-.f64 1 x)) (.f64 -3 y))
(/.f64 (.f64 (-.f64 3 x) (neg.f64 (-.f64 1 x))) (.f64 3 (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (-.f64 3 x)) (neg.f64 (-.f64 1 x))) (.f64 -3 (neg.f64 y)))
(/.f64 (/.f64 (.f64 (-.f64 1 x) (-.f64 1 (.f64 x 1/3))) 1) y)
(/.f64 (/.f64 (.f64 (-.f64 1 x) (-.f64 1 (.f64 x 1/3))) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(/.f64 (/.f64 (.f64 (-.f64 1 x) (-.f64 1 (.f64 x 1/3))) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (.f64 (neg.f64 (-.f64 1 x)) (-.f64 1 (.f64 x 1/3))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (-.f64 3 x)) (/.f64 (-.f64 1 x) y)) -3)
(/.f64 (*.f64 (/.f64 (-.f64 1 x) y) (neg.f64 (-.f64 3 x))) -3)
(/.f64 (.f64 (-.f64 1 (.f64 x 1/3)) (neg.f64 (-.f64 1 x))) (neg.f64 y))
(pow.f64 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (.f64 x 1/3))) 1)
(pow.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (.f64 x 1/3))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (.f64 x 1/3))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (.f64 x 1/3)))) 3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (.f64 x 1/3)))) 2)
(pow.f64 (.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) (pow.f64 (-.f64 1 (.f64 x 1/3)) 3)) 1/3)
(pow.f64 (.f64 (pow.f64 (-.f64 1 (.f64 x 1/3)) 3) (pow.f64 (/.f64 (-.f64 1 x) y) 3)) 1/3)
(pow.f64 (*.f64 (/.f64 y (-.f64 1 x)) (/.f64 3 (-.f64 3 x))) -1)
(pow.f64 (*.f64 (/.f64 3 (-.f64 3 x)) (/.f64 y (-.f64 1 x))) -1)
(pow.f64 (/.f64 (.f64 y 3) (.f64 (-.f64 1 x) (-.f64 3 x))) -1)
(pow.f64 (/.f64 y (.f64 (-.f64 1 x) (-.f64 1 (.f64 x 1/3)))) -1)
(pow.f64 (/.f64 3 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))) -1)
(sqrt.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (.f64 x 1/3))) 2))
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y))) (-.f64 3 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (.f64 x 1/3))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (.f64 x 1/3))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) (pow.f64 (-.f64 1 (.f64 x 1/3)) 3)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 x 1/3)) 3) (pow.f64 (/.f64 (-.f64 1 x) y) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (.f64 x 1/3)))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (.f64 x 1/3)))))
(exp.f64 (log.f64 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (.f64 x 1/3)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (*.f64 x 1/3)))) 1))
(+.f64 1 (neg.f64 (*.f64 x 1/3)))
(+.f64 0 (-.f64 1 (*.f64 x 1/3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (-.f64 3 x)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (-.f64 3 x))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (-.f64 3 x))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (-.f64 3 x))))))
(-.f64 1 (*.f64 x 1/3))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (*.f64 x 1/3)))) 1)
(.f64 1 (-.f64 1 (.f64 x 1/3)))
(*.f64 (-.f64 3 x) 1/3)
(.f64 (-.f64 1 (.f64 x 1/3)) 1)
(.f64 (cbrt.f64 (pow.f64 (-.f64 3 x) 2)) (.f64 (cbrt.f64 (-.f64 3 x)) 1/3))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x 1/3))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x 1/3))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x 1/3))) 2) (cbrt.f64 (-.f64 1 (*.f64 x 1/3))))
(.f64 (sqrt.f64 (-.f64 3 x)) (.f64 (sqrt.f64 (-.f64 3 x)) 1/3))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x 1/3))) (sqrt.f64 (-.f64 1 (*.f64 x 1/3))))
(*.f64 (neg.f64 (-.f64 3 x)) -1/3)
(*.f64 1/3 (-.f64 3 x))
(pow.f64 (-.f64 1 (*.f64 x 1/3)) 1)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x 1/3)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x 1/3)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x 1/3))) 3)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x 1/3))) 2)
(pow.f64 (/.f64 3 (-.f64 3 x)) -1)
(pow.f64 (/.f64 (/.f64 3 (-.f64 3 x)) 1) -1)
(neg.f64 (/.f64 (-.f64 3 x) -3))
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x 1/3)) 2))
(log.f64 (cbrt.f64 (exp.f64 (-.f64 3 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x 1/3)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 x 1/3))))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 x 1/3))))
(exp.f64 (log1p.f64 (neg.f64 (*.f64 x 1/3))))
(exp.f64 (.f64 (log1p.f64 (neg.f64 (.f64 x 1/3))) 1))
(+.f64 (/.f64 (-.f64 1 x) y) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (/.f64 x y)))
(+.f64 (/.f64 (-.f64 1 x) y) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y))) (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 x y)))
(+.f64 0 (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (.f64 (/.f64 x y) 1))) (fma.f64 (neg.f64 (/.f64 x y)) 1 (.f64 (/.f64 x y) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 x y) 1))) (fma.f64 (neg.f64 (/.f64 x y)) 1 (.f64 (/.f64 x y) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 x y) 1))) (fma.f64 (neg.f64 (/.f64 x y)) 1 (.f64 (/.f64 x y) 1)))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (.f64 (/.f64 1 y) x))) (fma.f64 (neg.f64 (/.f64 1 y)) x (.f64 (/.f64 1 y) x)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 1 y) x))) (fma.f64 (neg.f64 (/.f64 1 y)) x (.f64 (/.f64 1 y) x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 1 y) x))) (fma.f64 (neg.f64 (/.f64 1 y)) x (.f64 (/.f64 1 y) x)))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) y)) (/.f64 (sqrt.f64 x) 1) (.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 1))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) y)) (/.f64 (sqrt.f64 x) 1) (.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 1))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) y)) (/.f64 (sqrt.f64 x) 1) (.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 1))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 y))) (/.f64 1 (cbrt.f64 (.f64 y y))) (.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (*.f64 y y))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 y))) (/.f64 1 (cbrt.f64 (.f64 y y))) (.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (*.f64 y y))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 y))) (/.f64 1 (cbrt.f64 (.f64 y y))) (.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (*.f64 y y))))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 y y))) (.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 y y))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 y y))) (.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 y y))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 y y))) (.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 y y))))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y))) (/.f64 (sqrt.f64 x) (cbrt.f64 (.f64 y y))) (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y y))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y))) (/.f64 (sqrt.f64 x) (cbrt.f64 (.f64 y y))) (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y y))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y))) (/.f64 (sqrt.f64 x) (cbrt.f64 (.f64 y y))) (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y y))))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))))
(-.f64 (/.f64 1 y) (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) y))) 1)
(*.f64 1 (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 1 y))
(*.f64 (/.f64 (-.f64 1 x) y) 1)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) y)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)))
(.f64 (sqrt.f64 (-.f64 1 x)) (.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 y)))
(*.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (-.f64 1 x))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (-.f64 1 x) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 1 x) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (.f64 y y))) (cbrt.f64 (/.f64 (-.f64 1 x) y)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (.f64 y y))) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 y)))
(pow.f64 (/.f64 (-.f64 1 x) y) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) 2)
(pow.f64 (/.f64 y (-.f64 1 x)) -1)
(pow.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) 1/3)
(pow.f64 (/.f64 (/.f64 y (-.f64 1 x)) 1) -1)
(neg.f64 (/.f64 (-.f64 1 x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) y)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) y)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 x) y)) 1))
(fma.f64 1 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (/.f64 x y)))
(fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (/.f64 x y)))

Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (.f64 1/3 (.f64 x x)) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (.f64 1/3 (.f64 x x)) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) (/.f64 y (fma.f64 x -1/3 1)))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) (/.f64 y (fma.f64 x -1/3 1)))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) (/.f64 y (fma.f64 x -1/3 1)))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) (/.f64 y (fma.f64 x -1/3 1)))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) (/.f64 y (fma.f64 x -1/3 1)))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) (/.f64 y (fma.f64 x -1/3 1)))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) (/.f64 y (fma.f64 x -1/3 1)))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) (/.f64 y (fma.f64 x -1/3 1)))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) (/.f64 y (fma.f64 x -1/3 1)))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
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(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y))) (/.f64 (sqrt.f64 x) (cbrt.f64 (.f64 y y))) (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y y))))))
(+.f64 (fma.f64 1 (/.f64 1 y) (.f64 (/.f64 x (cbrt.f64 y)) (neg.f64 (/.f64 1 (cbrt.f64 (.f64 y y)))))) (fma.f64 (/.f64 (neg.f64 x) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (.f64 y y))) (.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (*.f64 y y))))))
(+.f64 (.f64 0 (/.f64 (/.f64 x (cbrt.f64 y)) (cbrt.f64 (.f64 y y)))) (-.f64 (/.f64 1 y) (/.f64 (/.f64 x (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y))) (/.f64 (sqrt.f64 x) (cbrt.f64 (.f64 y y))) (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y y))))))
(+.f64 (fma.f64 1 (/.f64 1 y) (.f64 (/.f64 x (cbrt.f64 y)) (neg.f64 (/.f64 1 (cbrt.f64 (.f64 y y)))))) (fma.f64 (/.f64 (neg.f64 x) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (.f64 y y))) (.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (*.f64 y y))))))
(+.f64 (.f64 0 (/.f64 (/.f64 x (cbrt.f64 y)) (cbrt.f64 (.f64 y y)))) (-.f64 (/.f64 1 y) (/.f64 (/.f64 x (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y))) (/.f64 (sqrt.f64 x) (cbrt.f64 (.f64 y y))) (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y y))))))
(+.f64 (fma.f64 1 (/.f64 1 y) (.f64 (/.f64 x (cbrt.f64 y)) (neg.f64 (/.f64 1 (cbrt.f64 (.f64 y y)))))) (fma.f64 (/.f64 (neg.f64 x) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (.f64 y y))) (.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (*.f64 y y))))))
(+.f64 (.f64 0 (/.f64 (/.f64 x (cbrt.f64 y)) (cbrt.f64 (.f64 y y)))) (-.f64 (/.f64 1 y) (/.f64 (/.f64 x (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))
(+.f64 (fma.f64 1 (/.f64 1 y) (.f64 (/.f64 x (sqrt.f64 y)) (neg.f64 (/.f64 1 (sqrt.f64 y))))) (fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)) (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))
(+.f64 (*.f64 0 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))) (-.f64 (/.f64 1 y) (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))
(+.f64 (fma.f64 1 (/.f64 1 y) (.f64 (/.f64 x (sqrt.f64 y)) (neg.f64 (/.f64 1 (sqrt.f64 y))))) (fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)) (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))
(+.f64 (*.f64 0 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))) (-.f64 (/.f64 1 y) (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))
(+.f64 (fma.f64 1 (/.f64 1 y) (.f64 (/.f64 x (sqrt.f64 y)) (neg.f64 (/.f64 1 (sqrt.f64 y))))) (fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)) (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))
(+.f64 (*.f64 0 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))) (-.f64 (/.f64 1 y) (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)))))
(+.f64 (fma.f64 1 (/.f64 1 y) (.f64 (/.f64 x (sqrt.f64 y)) (neg.f64 (/.f64 1 (sqrt.f64 y))))) (fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)) (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))
(+.f64 (*.f64 0 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))) (-.f64 (/.f64 1 y) (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)))))
(+.f64 (fma.f64 1 (/.f64 1 y) (.f64 (/.f64 x (sqrt.f64 y)) (neg.f64 (/.f64 1 (sqrt.f64 y))))) (fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)) (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))
(+.f64 (*.f64 0 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))) (-.f64 (/.f64 1 y) (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)))))
(+.f64 (fma.f64 1 (/.f64 1 y) (.f64 (/.f64 x (sqrt.f64 y)) (neg.f64 (/.f64 1 (sqrt.f64 y))))) (fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)) (.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))
(+.f64 (*.f64 0 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))) (-.f64 (/.f64 1 y) (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))))
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) y))) 1)
(/.f64 (-.f64 1 x) y)
(*.f64 1 (/.f64 (-.f64 1 x) y))
(/.f64 (-.f64 1 x) y)
(*.f64 (-.f64 1 x) (/.f64 1 y))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 (-.f64 1 x) y) 1)
(/.f64 (-.f64 1 x) y)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2))
(/.f64 (-.f64 1 x) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) y)
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 y)))
(/.f64 (-.f64 1 x) y)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) y)
(.f64 (sqrt.f64 (-.f64 1 x)) (.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 y)))
(/.f64 (-.f64 1 x) y)
(*.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 y)))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 1 y) (-.f64 1 x))
(/.f64 (-.f64 1 x) y)
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (-.f64 1 x) (cbrt.f64 y)))
(/.f64 (/.f64 (-.f64 1 x) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 1 x) (sqrt.f64 y)))
(/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) y))
(/.f64 (-.f64 1 x) y)
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) y))
(/.f64 (-.f64 1 x) y)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (.f64 y y))) (cbrt.f64 (/.f64 (-.f64 1 x) y)))
(.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (.f64 y y))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (/.f64 (-.f64 1 x) y))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (.f64 y y))) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (-.f64 1 x) (cbrt.f64 y)))
(/.f64 (/.f64 (-.f64 1 x) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 1 x) (sqrt.f64 y)))
(/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 (-.f64 1 x) y) 1)
(/.f64 (-.f64 1 x) y)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2) 1/2)
(/.f64 (-.f64 1 x) y)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) 1/3)
(/.f64 (-.f64 1 x) y)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 3)
(/.f64 (-.f64 1 x) y)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) 2)
(/.f64 (-.f64 1 x) y)
(pow.f64 (/.f64 y (-.f64 1 x)) -1)
(/.f64 (-.f64 1 x) y)
(pow.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) 1/3)
(/.f64 (-.f64 1 x) y)
(pow.f64 (/.f64 (/.f64 y (-.f64 1 x)) 1) -1)
(/.f64 (-.f64 1 x) y)
(neg.f64 (/.f64 (-.f64 1 x) (neg.f64 y)))
(/.f64 (-.f64 1 x) y)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2))
(/.f64 (-.f64 1 x) y)
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) y))))
(/.f64 (-.f64 1 x) y)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3))
(/.f64 (-.f64 1 x) y)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)))
(/.f64 (-.f64 1 x) y)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) y)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) y)
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 x) y)) 1))
(/.f64 (-.f64 1 x) y)
(fma.f64 1 (/.f64 1 y) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)

localize34.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
✓	0.3b	(*.f64 (-.f64 3 x) (/.f64 1/3 y))
✓	0.4b	(/.f64 1/3 y)

Compiler

Compiled 34 to 24 computations (29.4% saved)

series7.0ms (0.1%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 (-.f64 3 x) (/.f64 1/3 y))
1.0ms	y	@	inf	(*.f64 (-.f64 3 x) (/.f64 1/3 y))
1.0ms	y	@	0	(*.f64 (-.f64 3 x) (/.f64 1/3 y))
1.0ms	x	@	0	(*.f64 (-.f64 3 x) (/.f64 1/3 y))
0.0ms	x	@	inf	(*.f64 (-.f64 3 x) (/.f64 1/3 y))

rewrite69.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`log-prod_binary64`
392×	`pow-prod-down_binary64`
311×	`pow2_binary64`
218×	`pow1/3_binary64`
214×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	243	30
2	3174	30

Stop Event

1×	node limit

Counts

3 → 147

Calls

Call 1

Inputs
(/.f64 1/3 y)
(*.f64 (-.f64 3 x) (/.f64 1/3 y))
(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))

Outputs
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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 3 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 3 x) (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 3 x) (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/3 y) (pow.f64 (cbrt.f64 (-.f64 3 x)) 2)) (cbrt.f64 (-.f64 3 x)) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/3 y) (pow.f64 (cbrt.f64 (-.f64 3 x)) 2)) (cbrt.f64 (-.f64 3 x)) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/3 y) (sqrt.f64 (-.f64 3 x))) (sqrt.f64 (-.f64 3 x)) (*.f64 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simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Rules

338×	`log-prod_binary64`
314×	`associate-l_binary64`
293×	`associate-r_binary64`
220×	`associate-/l*_binary64`
206×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	335	2790
1	882	2675
2	4364	2669

Stop Event

1×	node limit

Counts

195 → 192

Calls

Call 1

Inputs
(/.f64 1 y)
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(*.f64 -1/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 -1/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(+.f64 0 (/.f64 1/3 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 y))) 1)
(*.f64 1/3 (/.f64 1 y))
(*.f64 (/.f64 1/3 y) 1)
(*.f64 1 (/.f64 1/3 y))
(*.f64 (cbrt.f64 (/.f64 1/3 y)) (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2) (cbrt.f64 (/.f64 1/3 y)))
(*.f64 (sqrt.f64 (/.f64 1/3 y)) (sqrt.f64 (/.f64 1/3 y)))
(*.f64 -1/3 (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) 1/3)
(pow.f64 (/.f64 1/3 y) 1)
(pow.f64 (*.f64 1/9 (pow.f64 y -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 1/3 y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 1/3 y)) 3)
(pow.f64 (sqrt.f64 (/.f64 1/3 y)) 2)
(pow.f64 (*.f64 y 3) -1)
(pow.f64 (/.f64 (*.f64 y 3) 1) -1)
(sqrt.f64 (*.f64 1/9 (pow.f64 y -2)))
(log.f64 (exp.f64 (/.f64 1/3 y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 y))))
(cbrt.f64 (pow.f64 (/.f64 1/3 y) 3))
(expm1.f64 (log1p.f64 (/.f64 1/3 y)))
(log1p.f64 (expm1.f64 (/.f64 1/3 y)))
(exp.f64 (log.f64 (/.f64 1/3 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 y)) 1))
(+.f64 0 (*.f64 (/.f64 1/3 y) (-.f64 3 x)))
(+.f64 (.f64 3 (/.f64 1/3 y)) (.f64 (neg.f64 x) (/.f64 1/3 y)))
(+.f64 (.f64 (/.f64 1/3 y) 3) (.f64 (/.f64 1/3 y) (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 3 x)) (/.f64 1/3 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 3 x)) (/.f64 1/3 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 3 x)) (/.f64 1/3 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 3 x)) (/.f64 1/3 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)))) 1)
(/.f64 (-.f64 3 x) (*.f64 y 3))
(/.f64 1 (/.f64 y (*.f64 1/3 (-.f64 3 x))))
(/.f64 (-.f64 27 (pow.f64 x 3)) (.f64 (.f64 y 3) (fma.f64 x (+.f64 3 x) 9)))
(/.f64 (-.f64 9 (.f64 x x)) (.f64 (*.f64 y 3) (+.f64 3 x)))
(/.f64 (*.f64 1/3 (-.f64 3 x)) y)
(/.f64 (neg.f64 (*.f64 1/3 (-.f64 3 x))) (neg.f64 y))
(/.f64 (.f64 1/3 (-.f64 27 (pow.f64 x 3))) (.f64 y (fma.f64 x (+.f64 3 x) 9)))
(/.f64 (.f64 -1/3 (-.f64 27 (pow.f64 x 3))) (.f64 (neg.f64 y) (fma.f64 x (+.f64 3 x) 9)))
(/.f64 (.f64 1/3 (-.f64 9 (.f64 x x))) (*.f64 y (+.f64 3 x)))
(/.f64 (.f64 -1/3 (-.f64 9 (.f64 x x))) (*.f64 (neg.f64 y) (+.f64 3 x)))
(/.f64 (.f64 (-.f64 27 (pow.f64 x 3)) 1/3) (.f64 (fma.f64 x (+.f64 3 x) 9) y))
(/.f64 (.f64 (-.f64 9 (.f64 x x)) 1/3) (*.f64 (+.f64 3 x) y))
(/.f64 (.f64 (-.f64 27 (pow.f64 x 3)) 1) (.f64 (fma.f64 x (+.f64 3 x) 9) (*.f64 y 3)))
(/.f64 (.f64 (-.f64 9 (.f64 x x)) 1) (.f64 (+.f64 3 x) (.f64 y 3)))
(/.f64 (.f64 (-.f64 27 (pow.f64 x 3)) -1/3) (.f64 (fma.f64 x (+.f64 3 x) 9) (neg.f64 y)))
(/.f64 (.f64 (-.f64 9 (.f64 x x)) -1/3) (*.f64 (+.f64 3 x) (neg.f64 y)))
(/.f64 (/.f64 (*.f64 1/3 (-.f64 3 x)) 1) y)
(/.f64 (/.f64 (*.f64 1/3 (-.f64 3 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 1/3 (-.f64 3 x)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 -1/3 (-.f64 3 x)) (neg.f64 y))
(/.f64 (*.f64 (-.f64 27 (pow.f64 x 3)) (/.f64 1/3 y)) (fma.f64 x (+.f64 3 x) 9))
(/.f64 (.f64 (-.f64 9 (.f64 x x)) (/.f64 1/3 y)) (+.f64 3 x))
(/.f64 (*.f64 (/.f64 1/3 y) (-.f64 27 (pow.f64 x 3))) (fma.f64 x (+.f64 3 x) 9))
(/.f64 (.f64 (/.f64 1/3 y) (-.f64 9 (.f64 x x))) (+.f64 3 x))
(/.f64 (*.f64 (-.f64 3 x) -1/3) (neg.f64 y))
(pow.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) 2)
(pow.f64 (/.f64 y (*.f64 1/3 (-.f64 3 x))) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 3 x)) (/.f64 1/3 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(exp.f64 (log.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) 1))
(fma.f64 (/.f64 1/3 y) 3 (*.f64 (/.f64 1/3 y) (neg.f64 x)))
(fma.f64 3 (/.f64 1/3 y) (*.f64 (neg.f64 x) (/.f64 1/3 y)))
(+.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(+.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(+.f64 0 (.f64 (/.f64 1/3 y) (.f64 (-.f64 3 x) (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (.f64 (/.f64 1/3 y) (-.f64 3 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (.f64 (/.f64 1/3 y) (-.f64 3 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (.f64 (/.f64 1/3 y) (-.f64 3 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (.f64 (/.f64 1/3 y) (-.f64 3 x))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 1/3 y) (.f64 (-.f64 3 x) (-.f64 1 x))))) 1)
(/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) (.f64 y 3))
(/.f64 (.f64 (.f64 1/3 (-.f64 3 x)) (-.f64 1 (pow.f64 x 3))) (*.f64 y (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 (.f64 1/3 (-.f64 3 x)) (-.f64 1 (.f64 x x))) (.f64 y (+.f64 x 1)))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) (.f64 1/3 (-.f64 3 x))) (*.f64 (+.f64 1 (fma.f64 x x x)) y))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (.f64 1/3 (-.f64 3 x))) (.f64 (+.f64 x 1) y))
(/.f64 (.f64 (.f64 1/3 (-.f64 3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) (.f64 (/.f64 1/3 y) (-.f64 3 x))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (+.f64 x 1))
(/.f64 (.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (.f64 (-.f64 1 x) (.f64 1/3 (-.f64 3 x))) y)
(/.f64 (.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) 1/3) y)
(/.f64 (.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) 1) (*.f64 y 3))
(/.f64 (.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) -1/3) (neg.f64 y))
(pow.f64 (.f64 (/.f64 1/3 y) (.f64 (-.f64 3 x) (-.f64 1 x))) 1)
(pow.f64 (pow.f64 (.f64 (/.f64 1/3 y) (.f64 (-.f64 3 x) (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (/.f64 1/3 y) (.f64 (-.f64 3 x) (-.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (/.f64 1/3 y) (.f64 (-.f64 3 x) (-.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 1/3 y) (.f64 (-.f64 3 x) (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (.f64 (/.f64 1/3 y) (.f64 (-.f64 3 x) (-.f64 1 x))) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 1/3 y) (.f64 (-.f64 3 x) (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 1/3 y) (.f64 (-.f64 3 x) (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 1/3 y) (.f64 (-.f64 3 x) (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 1/3 y) (.f64 (-.f64 3 x) (-.f64 1 x)))))
(exp.f64 (log.f64 (.f64 (/.f64 1/3 y) (.f64 (-.f64 3 x) (-.f64 1 x)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x)))) 1))
(fma.f64 1/3 (.f64 (/.f64 1 y) (-.f64 3 x)) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(fma.f64 1/3 (.f64 (/.f64 1 y) (-.f64 3 x)) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(fma.f64 (/.f64 1/3 y) (-.f64 3 x) (.f64 (neg.f64 x) (.f64 (/.f64 1/3 y) (-.f64 3 x))))
(fma.f64 (/.f64 1/3 y) (-.f64 3 x) (.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(fma.f64 (-.f64 3 x) (/.f64 1/3 y) (.f64 (neg.f64 x) (.f64 (/.f64 1/3 y) (-.f64 3 x))))
(fma.f64 (-.f64 3 x) (/.f64 1/3 y) (.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(fma.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x)) 1 (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(fma.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x)) 1 (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(fma.f64 1 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(fma.f64 1 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(fma.f64 (cbrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) (pow.f64 (cbrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) 2) (.f64 (neg.f64 x) (.f64 (/.f64 1/3 y) (-.f64 3 x))))
(fma.f64 (cbrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) (pow.f64 (cbrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) 2) (.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) 2) (cbrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) (.f64 (neg.f64 x) (.f64 (/.f64 1/3 y) (-.f64 3 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) 2) (cbrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) (.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (.f64 (cbrt.f64 (-.f64 3 x)) (/.f64 1/3 y)) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (.f64 (cbrt.f64 (-.f64 3 x)) (/.f64 1/3 y)) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2) (.f64 (cbrt.f64 (/.f64 1/3 y)) (-.f64 3 x)) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2) (.f64 (cbrt.f64 (/.f64 1/3 y)) (-.f64 3 x)) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(fma.f64 (sqrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) (sqrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) (.f64 (neg.f64 x) (.f64 (/.f64 1/3 y) (-.f64 3 x))))
(fma.f64 (sqrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) (sqrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) (.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 3 x)) (.f64 (sqrt.f64 (-.f64 3 x)) (/.f64 1/3 y)) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(fma.f64 (sqrt.f64 (-.f64 3 x)) (.f64 (sqrt.f64 (-.f64 3 x)) (/.f64 1/3 y)) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 1/3 y)) (.f64 (sqrt.f64 (/.f64 1/3 y)) (-.f64 3 x)) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(fma.f64 (sqrt.f64 (/.f64 1/3 y)) (.f64 (sqrt.f64 (/.f64 1/3 y)) (-.f64 3 x)) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(fma.f64 (.f64 1/3 (-.f64 3 x)) (/.f64 1 y) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(fma.f64 (.f64 1/3 (-.f64 3 x)) (/.f64 1 y) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(fma.f64 (/.f64 (-.f64 3 x) 1) (/.f64 1/3 y) (.f64 (neg.f64 x) (.f64 (/.f64 1/3 y) (-.f64 3 x))))
(fma.f64 (/.f64 (-.f64 3 x) 1) (/.f64 1/3 y) (.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(fma.f64 (/.f64 (-.f64 3 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)) (.f64 (neg.f64 x) (.f64 (/.f64 1/3 y) (-.f64 3 x))))
(fma.f64 (/.f64 (-.f64 3 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)) (.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(fma.f64 (/.f64 (-.f64 3 x) (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)) (.f64 (neg.f64 x) (.f64 (/.f64 1/3 y) (-.f64 3 x))))
(fma.f64 (/.f64 (-.f64 3 x) (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)) (.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(fma.f64 (.f64 (/.f64 1/3 y) (pow.f64 (cbrt.f64 (-.f64 3 x)) 2)) (cbrt.f64 (-.f64 3 x)) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(fma.f64 (.f64 (/.f64 1/3 y) (pow.f64 (cbrt.f64 (-.f64 3 x)) 2)) (cbrt.f64 (-.f64 3 x)) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(fma.f64 (.f64 (/.f64 1/3 y) (sqrt.f64 (-.f64 3 x))) (sqrt.f64 (-.f64 3 x)) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(fma.f64 (.f64 (/.f64 1/3 y) (sqrt.f64 (-.f64 3 x))) (sqrt.f64 (-.f64 3 x)) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(fma.f64 (.f64 (-.f64 3 x) (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2)) (cbrt.f64 (/.f64 1/3 y)) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(fma.f64 (.f64 (-.f64 3 x) (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2)) (cbrt.f64 (/.f64 1/3 y)) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(fma.f64 (.f64 (-.f64 3 x) (sqrt.f64 (/.f64 1/3 y))) (sqrt.f64 (/.f64 1/3 y)) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(fma.f64 (.f64 (-.f64 3 x) (sqrt.f64 (/.f64 1/3 y))) (sqrt.f64 (/.f64 1/3 y)) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))

Outputs
(/.f64 1 y)
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 1/3 (/.f64 y (-.f64 3 x)))
(*.f64 -1/3 (/.f64 (+.f64 x -3) y))
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 1/3 (/.f64 y (-.f64 3 x)))
(*.f64 -1/3 (/.f64 (+.f64 x -3) y))
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 1/3 (/.f64 y (-.f64 3 x)))
(*.f64 -1/3 (/.f64 (+.f64 x -3) y))
(*.f64 -1/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 1/3 (/.f64 y (-.f64 3 x)))
(*.f64 -1/3 (/.f64 (+.f64 x -3) y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 1/3 (/.f64 y (-.f64 3 x)))
(*.f64 -1/3 (/.f64 (+.f64 x -3) y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 1/3 (/.f64 y (-.f64 3 x)))
(*.f64 -1/3 (/.f64 (+.f64 x -3) y))
(*.f64 -1/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 1/3 (/.f64 y (-.f64 3 x)))
(*.f64 -1/3 (/.f64 (+.f64 x -3) y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 1/3 (/.f64 y (-.f64 3 x)))
(*.f64 -1/3 (/.f64 (+.f64 x -3) y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 1/3 (/.f64 y (-.f64 3 x)))
(*.f64 -1/3 (/.f64 (+.f64 x -3) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 1/3 (/.f64 y (-.f64 3 x)))
(*.f64 -1/3 (/.f64 (+.f64 x -3) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 1/3 (/.f64 y (-.f64 3 x)))
(*.f64 -1/3 (/.f64 (+.f64 x -3) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 1/3 (/.f64 y (-.f64 3 x)))
(*.f64 -1/3 (/.f64 (+.f64 x -3) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 1/3 (/.f64 y (-.f64 3 x)))
(*.f64 -1/3 (/.f64 (+.f64 x -3) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 1/3 (/.f64 y (-.f64 3 x)))
(*.f64 -1/3 (/.f64 (+.f64 x -3) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 1/3 (/.f64 y (-.f64 3 x)))
(*.f64 -1/3 (/.f64 (+.f64 x -3) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 1/3 (/.f64 y (-.f64 3 x)))
(*.f64 -1/3 (/.f64 (+.f64 x -3) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 1/3 (/.f64 y (-.f64 3 x)))
(*.f64 -1/3 (/.f64 (+.f64 x -3) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 1/3 (/.f64 y (-.f64 3 x)))
(*.f64 -1/3 (/.f64 (+.f64 x -3) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 1/3 (/.f64 y (-.f64 3 x)))
(*.f64 -1/3 (/.f64 (+.f64 x -3) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 1/3 (/.f64 y (-.f64 3 x)))
(*.f64 -1/3 (/.f64 (+.f64 x -3) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 1/3 (/.f64 y (-.f64 3 x)))
(*.f64 -1/3 (/.f64 (+.f64 x -3) y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3))
(fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
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(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 1 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 1 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (cbrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) (pow.f64 (cbrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) 2) (.f64 (neg.f64 x) (.f64 (/.f64 1/3 y) (-.f64 3 x))))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (cbrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) (pow.f64 (cbrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) 2) (.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) 2) (cbrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) (.f64 (neg.f64 x) (.f64 (/.f64 1/3 y) (-.f64 3 x))))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) 2) (cbrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) (.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (.f64 (cbrt.f64 (-.f64 3 x)) (/.f64 1/3 y)) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (.f64 (cbrt.f64 (-.f64 3 x)) (/.f64 1/3 y)) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2) (.f64 (cbrt.f64 (/.f64 1/3 y)) (-.f64 3 x)) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2) (.f64 (cbrt.f64 (/.f64 1/3 y)) (-.f64 3 x)) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (sqrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) (sqrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) (.f64 (neg.f64 x) (.f64 (/.f64 1/3 y) (-.f64 3 x))))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (sqrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) (sqrt.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))) (.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (sqrt.f64 (-.f64 3 x)) (.f64 (sqrt.f64 (-.f64 3 x)) (/.f64 1/3 y)) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (sqrt.f64 (-.f64 3 x)) (.f64 (sqrt.f64 (-.f64 3 x)) (/.f64 1/3 y)) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (sqrt.f64 (/.f64 1/3 y)) (.f64 (sqrt.f64 (/.f64 1/3 y)) (-.f64 3 x)) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (sqrt.f64 (/.f64 1/3 y)) (.f64 (sqrt.f64 (/.f64 1/3 y)) (-.f64 3 x)) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (.f64 1/3 (-.f64 3 x)) (/.f64 1 y) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (.f64 1/3 (-.f64 3 x)) (/.f64 1 y) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (/.f64 (-.f64 3 x) 1) (/.f64 1/3 y) (.f64 (neg.f64 x) (.f64 (/.f64 1/3 y) (-.f64 3 x))))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (/.f64 (-.f64 3 x) 1) (/.f64 1/3 y) (.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (/.f64 (-.f64 3 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)) (.f64 (neg.f64 x) (.f64 (/.f64 1/3 y) (-.f64 3 x))))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (/.f64 (-.f64 3 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)) (.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (/.f64 (-.f64 3 x) (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)) (.f64 (neg.f64 x) (.f64 (/.f64 1/3 y) (-.f64 3 x))))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (/.f64 (-.f64 3 x) (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)) (.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (.f64 (/.f64 1/3 y) (pow.f64 (cbrt.f64 (-.f64 3 x)) 2)) (cbrt.f64 (-.f64 3 x)) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (.f64 (/.f64 1/3 y) (pow.f64 (cbrt.f64 (-.f64 3 x)) 2)) (cbrt.f64 (-.f64 3 x)) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (.f64 (/.f64 1/3 y) (sqrt.f64 (-.f64 3 x))) (sqrt.f64 (-.f64 3 x)) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (.f64 (/.f64 1/3 y) (sqrt.f64 (-.f64 3 x))) (sqrt.f64 (-.f64 3 x)) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (.f64 (-.f64 3 x) (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2)) (cbrt.f64 (/.f64 1/3 y)) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (.f64 (-.f64 3 x) (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2)) (cbrt.f64 (/.f64 1/3 y)) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (.f64 (-.f64 3 x) (sqrt.f64 (/.f64 1/3 y))) (sqrt.f64 (/.f64 1/3 y)) (.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))
(fma.f64 (.f64 (-.f64 3 x) (sqrt.f64 (/.f64 1/3 y))) (sqrt.f64 (/.f64 1/3 y)) (.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(*.f64 (-.f64 1 x) (/.f64 1/3 (/.f64 y (-.f64 3 x))))
(.f64 (-.f64 1 x) (.f64 -1/3 (/.f64 (+.f64 x -3) y)))

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 x 3))
✓	0.1b	(/.f64 (-.f64 1 (/.f64 x 3)) y)
✓	0.1b	(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))

Compiler

Compiled 35 to 25 computations (28.6% saved)

series7.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))
1.0ms	x	@	0	(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))
1.0ms	y	@	inf	(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))
0.0ms	y	@	-inf	(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))
0.0ms	y	@	inf	(/.f64 (-.f64 1 (/.f64 x 3)) y)

rewrite99.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`log-prod_binary64`
474×	`prod-diff_binary64`
300×	`pow2_binary64`
217×	`fma-def_binary64`
216×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	228	33
2	3236	27

Stop Event

1×	node limit

Counts

3 → 214

Calls

Call 1

Inputs
(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))
(/.f64 (-.f64 1 (/.f64 x 3)) y)
(-.f64 1 (/.f64 x 3))

Outputs

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

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

simplify102.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

453×	`fma-neg_binary64`
316×	`associate-r_binary64`
315×	`log-prod_binary64`
278×	`associate-/l*_binary64`
266×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	532	5819
1	1368	4621
2	5794	4615

Stop Event

1×	node limit

Counts

274 → 288

Calls

Call 1

Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(/.f64 (.f64 (-.f64 1 (.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (-.f64 1 (.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (-.f64 1 (.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (-.f64 1 (.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (-.f64 1 (.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (-.f64 1 (.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (-.f64 1 (.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (-.f64 1 (.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (-.f64 1 (.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (-.f64 1 (.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (-.f64 1 (.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (-.f64 1 (.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 1 y)
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(*.f64 -1/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(*.f64 -1/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(/.f64 (-.f64 1 (*.f64 1/3 x)) y)
(/.f64 (-.f64 1 (*.f64 1/3 x)) y)
(/.f64 (-.f64 1 (*.f64 1/3 x)) y)
(/.f64 (-.f64 1 (*.f64 1/3 x)) y)
(/.f64 (-.f64 1 (*.f64 1/3 x)) y)
(/.f64 (-.f64 1 (*.f64 1/3 x)) y)
(/.f64 (-.f64 1 (*.f64 1/3 x)) y)
(/.f64 (-.f64 1 (*.f64 1/3 x)) y)
(/.f64 (-.f64 1 (*.f64 1/3 x)) y)
(/.f64 (-.f64 1 (*.f64 1/3 x)) y)
(/.f64 (-.f64 1 (*.f64 1/3 x)) y)
(/.f64 (-.f64 1 (*.f64 1/3 x)) y)
1
(+.f64 1 (*.f64 -1/3 x))
(+.f64 1 (*.f64 -1/3 x))
(+.f64 1 (*.f64 -1/3 x))
(*.f64 -1/3 x)
(+.f64 1 (*.f64 -1/3 x))
(+.f64 1 (*.f64 -1/3 x))
(+.f64 1 (*.f64 -1/3 x))
(*.f64 -1/3 x)
(+.f64 1 (*.f64 -1/3 x))
(+.f64 1 (*.f64 -1/3 x))
(+.f64 1 (*.f64 -1/3 x))
(+.f64 (/.f64 (fma.f64 x -1/3 1) y) (*.f64 (neg.f64 x) (/.f64 (fma.f64 x -1/3 1) y)))
(+.f64 (/.f64 (fma.f64 x -1/3 1) y) (*.f64 (/.f64 (fma.f64 x -1/3 1) y) (neg.f64 x)))
(+.f64 0 (*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (/.f64 (fma.f64 x -1/3 1) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (/.f64 (fma.f64 x -1/3 1) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (/.f64 (fma.f64 x -1/3 1) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (/.f64 (fma.f64 x -1/3 1) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)))) 1)
(/.f64 1 (/.f64 y (*.f64 (-.f64 1 x) (fma.f64 x -1/3 1))))
(/.f64 (-.f64 1 x) (/.f64 y (fma.f64 x -1/3 1)))
(/.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 (/.f64 y (fma.f64 x -1/3 1)) (+.f64 1 (fma.f64 x x x))))
(/.f64 (-.f64 1 (.f64 x x)) (.f64 (/.f64 y (fma.f64 x -1/3 1)) (+.f64 1 x)))
(/.f64 (*.f64 (-.f64 1 x) (fma.f64 x -1/3 1)) y)
(/.f64 (neg.f64 (*.f64 (-.f64 1 x) (fma.f64 x -1/3 1))) (neg.f64 y))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) 1) (.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 y (fma.f64 x -1/3 1))))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) 1) (*.f64 (+.f64 1 x) (/.f64 y (fma.f64 x -1/3 1))))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) (fma.f64 x -1/3 1)) (.f64 (+.f64 1 (fma.f64 x x x)) y))
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(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 1/3 (cbrt.f64 y)) (/.f64 x (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 1/3 (cbrt.f64 y))) (/.f64 x (cbrt.f64 (.f64 y y))) (.f64 (/.f64 1/3 (cbrt.f64 y)) (/.f64 x (cbrt.f64 (*.f64 y y))))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (.f64 (/.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 y)) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9)) (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 y))) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9)) (cbrt.f64 (.f64 y y))) (.f64 (/.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 y)) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9)) (cbrt.f64 (.f64 y y))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 y)) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9)) (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 y))) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9)) (cbrt.f64 (.f64 y y))) (.f64 (/.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 y)) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9)) (cbrt.f64 (.f64 y y))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 y)) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9)) (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 y))) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9)) (cbrt.f64 (.f64 y y))) (.f64 (/.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 y)) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9)) (cbrt.f64 (.f64 y y))))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (.f64 x 1/3)) (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) (cbrt.f64 y))) (/.f64 (sqrt.f64 (.f64 x 1/3)) (cbrt.f64 (.f64 y y))) (.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (.f64 x 1/3)) (cbrt.f64 (*.f64 y y))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (.f64 x 1/3)) (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) (cbrt.f64 y))) (/.f64 (sqrt.f64 (.f64 x 1/3)) (cbrt.f64 (.f64 y y))) (.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (.f64 x 1/3)) (cbrt.f64 (*.f64 y y))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (.f64 x 1/3)) (cbrt.f64 (.f64 y y)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) (cbrt.f64 y))) (/.f64 (sqrt.f64 (.f64 x 1/3)) (cbrt.f64 (.f64 y y))) (.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (.f64 x 1/3)) (cbrt.f64 (*.f64 y y))))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (.f64 (/.f64 (.f64 x 1/3) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (.f64 x 1/3) (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (.f64 (/.f64 (*.f64 x 1/3) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (.f64 x 1/3) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (.f64 x 1/3) (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (.f64 (/.f64 (*.f64 x 1/3) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (.f64 x 1/3) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (.f64 x 1/3) (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (.f64 (/.f64 (*.f64 x 1/3) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (.f64 (/.f64 1/3 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 y))) (/.f64 x (sqrt.f64 y)) (.f64 (/.f64 1/3 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 1/3 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 y))) (/.f64 x (sqrt.f64 y)) (.f64 (/.f64 1/3 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 1/3 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 y))) (/.f64 x (sqrt.f64 y)) (.f64 (/.f64 1/3 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (.f64 (/.f64 (cbrt.f64 (.f64 x 1/3)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9)) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (.f64 x 1/3)) (sqrt.f64 y))) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9)) (sqrt.f64 y)) (.f64 (/.f64 (cbrt.f64 (.f64 x 1/3)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 (*.f64 x x) 1/9)) (sqrt.f64 y)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (.f64 x 1/3)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9)) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (.f64 x 1/3)) (sqrt.f64 y))) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9)) (sqrt.f64 y)) (.f64 (/.f64 (cbrt.f64 (.f64 x 1/3)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 (*.f64 x x) 1/9)) (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (.f64 x 1/3)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9)) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (.f64 x 1/3)) (sqrt.f64 y))) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9)) (sqrt.f64 y)) (.f64 (/.f64 (cbrt.f64 (.f64 x 1/3)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 (*.f64 x x) 1/9)) (sqrt.f64 y)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x -1/3 1) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x -1/3 1) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x -1/3 1) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x -1/3 1) y)))))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x -1/3 1) y))) 1)
(*.f64 1 (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 (fma.f64 x -1/3 1) (/.f64 1 y))
(*.f64 (/.f64 (fma.f64 x -1/3 1) y) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x -1/3 1) y)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -1/3 1) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -1/3 1) y)) 2) (cbrt.f64 (/.f64 (fma.f64 x -1/3 1) y)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 2) (.f64 (cbrt.f64 (fma.f64 x -1/3 1)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x -1/3 1) y)) (sqrt.f64 (/.f64 (fma.f64 x -1/3 1) y)))
(.f64 (sqrt.f64 (fma.f64 x -1/3 1)) (.f64 (sqrt.f64 (fma.f64 x -1/3 1)) (/.f64 1 y)))
(*.f64 (neg.f64 (fma.f64 x -1/3 1)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (fma.f64 x -1/3 1))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (fma.f64 x -1/3 1) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (fma.f64 x -1/3 1) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x -1/3 1)) y))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x -1/3 1)) 1) (/.f64 (sqrt.f64 (fma.f64 x -1/3 1)) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 2) (cbrt.f64 (.f64 y y))) (cbrt.f64 (/.f64 (fma.f64 x -1/3 1) y)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x -1/3 1)) (cbrt.f64 (.f64 y y))) (/.f64 (sqrt.f64 (fma.f64 x -1/3 1)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (fma.f64 x -1/3 1)) (sqrt.f64 y)))
(pow.f64 (/.f64 (fma.f64 x -1/3 1) y) 1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x -1/3 1) y) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x -1/3 1) y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -1/3 1) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x -1/3 1) y)) 2)
(pow.f64 (/.f64 y (fma.f64 x -1/3 1)) -1)
(pow.f64 (/.f64 (pow.f64 (fma.f64 x -1/3 1) 3) (pow.f64 y 3)) 1/3)
(pow.f64 (/.f64 (/.f64 y (fma.f64 x -1/3 1)) 1) -1)
(neg.f64 (/.f64 (fma.f64 x -1/3 1) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x -1/3 1) y) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x -1/3 1) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x -1/3 1) y))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x -1/3 1) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x -1/3 1) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x -1/3 1) y)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x -1/3 1) y)))
(exp.f64 (log.f64 (/.f64 (fma.f64 x -1/3 1) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x -1/3 1) y)) 1))
(fma.f64 1 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y 3))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (/.f64 x (*.f64 y 3))))
(fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (/.f64 x (*.f64 y 3))))
(+.f64 1 (*.f64 x -1/3))
(+.f64 1 (.f64 (.f64 x -1/3) 1))
(+.f64 0 (fma.f64 x -1/3 1))
(+.f64 (*.f64 x -1/3) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/3 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/3 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/3 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/3 1)))))
(*.f64 1 (fma.f64 x -1/3 1))
(*.f64 (fma.f64 x -1/3 1) 1)
(*.f64 (cbrt.f64 (fma.f64 x -1/3 1)) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 2) (cbrt.f64 (fma.f64 x -1/3 1)))
(*.f64 (sqrt.f64 (fma.f64 x -1/3 1)) (sqrt.f64 (fma.f64 x -1/3 1)))
(.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 1) 1)))
(.f64 (-.f64 1 (.f64 (*.f64 x x) 1/9)) (/.f64 1 (fma.f64 x 1/3 1)))
(/.f64 1 (/.f64 (fma.f64 (.f64 x 1/3) (fma.f64 x 1/3 1) 1) (-.f64 1 (.f64 (pow.f64 x 3) 1/27))))
(/.f64 1 (/.f64 (fma.f64 x 1/3 1) (-.f64 1 (.f64 (.f64 x x) 1/9))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/27)) (fma.f64 (.f64 x 1/3) (fma.f64 x 1/3 1) 1))
(/.f64 (-.f64 1 (.f64 (.f64 x x) 1/9)) (fma.f64 x 1/3 1))
(/.f64 (neg.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/27))) (neg.f64 (fma.f64 (.f64 x 1/3) (fma.f64 x 1/3 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (.f64 (.f64 x x) 1/9))) (neg.f64 (fma.f64 x 1/3 1)))
(/.f64 (+.f64 1 (pow.f64 (.f64 x -1/3) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 x -1/3) 2) (*.f64 x -1/3))))
(/.f64 (-.f64 1 (pow.f64 (.f64 x -1/3) 2)) (-.f64 1 (.f64 x -1/3)))
(pow.f64 (fma.f64 x -1/3 1) 1)
(pow.f64 (pow.f64 (fma.f64 x -1/3 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x -1/3 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x -1/3 1)) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 x 1/3) (fma.f64 x 1/3 1) 1) (-.f64 1 (.f64 (pow.f64 x 3) 1/27))) -1)
(pow.f64 (/.f64 (fma.f64 x 1/3 1) (-.f64 1 (.f64 (.f64 x x) 1/9))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x -1/3 1) 2))
(log.f64 (exp.f64 (fma.f64 x -1/3 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/3 1))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/3 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -1/3 1)))
(log1p.f64 (expm1.f64 (fma.f64 x -1/3 1)))
(exp.f64 (log1p.f64 (*.f64 x -1/3)))
(exp.f64 (.f64 (log1p.f64 (.f64 x -1/3)) 1))
(fma.f64 1 (*.f64 x -1/3) 1)
(fma.f64 x -1/3 1)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9)) (neg.f64 (cbrt.f64 (*.f64 x 1/3))) 1)
(fma.f64 (sqrt.f64 (.f64 x 1/3)) (neg.f64 (sqrt.f64 (.f64 x 1/3))) 1)
(fma.f64 (neg.f64 x) 1/3 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) (cbrt.f64 (.f64 x -1/3)) 1)
(fma.f64 (sqrt.f64 (.f64 x -1/3)) (sqrt.f64 (.f64 x -1/3)) 1)
(fma.f64 -1 (*.f64 x 1/3) 1)
(fma.f64 (neg.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9))) (cbrt.f64 (*.f64 x 1/3)) 1)
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x 1/3))) (sqrt.f64 (.f64 x 1/3)) 1)

Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
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(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x -1/3 1) y)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -1/3 1) y)) 2))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -1/3 1) y)) 2) (cbrt.f64 (/.f64 (fma.f64 x -1/3 1) y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 2) (.f64 (cbrt.f64 (fma.f64 x -1/3 1)) (/.f64 1 y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x -1/3 1) y)) (sqrt.f64 (/.f64 (fma.f64 x -1/3 1) y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(.f64 (sqrt.f64 (fma.f64 x -1/3 1)) (.f64 (sqrt.f64 (fma.f64 x -1/3 1)) (/.f64 1 y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 (neg.f64 (fma.f64 x -1/3 1)) (/.f64 1 (neg.f64 y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 (/.f64 1 y) (fma.f64 x -1/3 1))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (fma.f64 x -1/3 1) (cbrt.f64 y)))
(/.f64 (/.f64 (fma.f64 x -1/3 1) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (fma.f64 x -1/3 1) (sqrt.f64 y)))
(/.f64 (/.f64 (fma.f64 x -1/3 1) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x -1/3 1)) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x -1/3 1)) 1) (/.f64 (sqrt.f64 (fma.f64 x -1/3 1)) y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 2) (cbrt.f64 (.f64 y y))) (cbrt.f64 (/.f64 (fma.f64 x -1/3 1) y)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x -1/3 1) y)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 2) (cbrt.f64 (.f64 y y))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x -1/3 1)) (cbrt.f64 (.f64 y y))) (/.f64 (sqrt.f64 (fma.f64 x -1/3 1)) (cbrt.f64 y)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y y))) (/.f64 (fma.f64 x -1/3 1) (cbrt.f64 y)))
(/.f64 (/.f64 (fma.f64 x -1/3 1) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (fma.f64 x -1/3 1)) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (fma.f64 x -1/3 1) (sqrt.f64 y)))
(/.f64 (/.f64 (fma.f64 x -1/3 1) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 (fma.f64 x -1/3 1) y) 1)
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x -1/3 1) y) 2) 1/2)
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x -1/3 1) y) 3) 1/3)
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -1/3 1) y)) 3)
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x -1/3 1) y)) 2)
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(pow.f64 (/.f64 y (fma.f64 x -1/3 1)) -1)
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(pow.f64 (/.f64 (pow.f64 (fma.f64 x -1/3 1) 3) (pow.f64 y 3)) 1/3)
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(pow.f64 (/.f64 (/.f64 y (fma.f64 x -1/3 1)) 1) -1)
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(neg.f64 (/.f64 (fma.f64 x -1/3 1) (neg.f64 y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x -1/3 1) y) 2))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(log.f64 (exp.f64 (/.f64 (fma.f64 x -1/3 1) y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x -1/3 1) y))))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x -1/3 1) y) 3))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x -1/3 1) 3) (pow.f64 y 3)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x -1/3 1) y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x -1/3 1) y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(exp.f64 (log.f64 (/.f64 (fma.f64 x -1/3 1) y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x -1/3 1) y)) 1))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(fma.f64 1 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y 3))))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (/.f64 x (*.f64 y 3))))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (/.f64 x (*.f64 y 3))))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 x -1/3 1) y)
(+.f64 1 (*.f64 x -1/3))
(fma.f64 x -1/3 1)
(+.f64 1 (.f64 (.f64 x -1/3) 1))
(fma.f64 x -1/3 1)
(+.f64 0 (fma.f64 x -1/3 1))
(fma.f64 x -1/3 1)
(+.f64 (*.f64 x -1/3) 1)
(fma.f64 x -1/3 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/3 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/3 1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/3 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/3 1)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/3 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/3 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/3 1)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/3 1)))))
(*.f64 1 (fma.f64 x -1/3 1))
(fma.f64 x -1/3 1)
(*.f64 (fma.f64 x -1/3 1) 1)
(fma.f64 x -1/3 1)
(*.f64 (cbrt.f64 (fma.f64 x -1/3 1)) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 2))
(fma.f64 x -1/3 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 2) (cbrt.f64 (fma.f64 x -1/3 1)))
(fma.f64 x -1/3 1)
(*.f64 (sqrt.f64 (fma.f64 x -1/3 1)) (sqrt.f64 (fma.f64 x -1/3 1)))
(fma.f64 x -1/3 1)
(.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 1) 1)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 1) (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 1) 1))
(.f64 (-.f64 1 (.f64 (*.f64 x x) 1/9)) (/.f64 1 (fma.f64 x 1/3 1)))
(.f64 (-.f64 1 (.f64 x (*.f64 x 1/9))) (/.f64 1 (fma.f64 x 1/3 1)))
(/.f64 (+.f64 1 (.f64 (.f64 x x) -1/9)) (fma.f64 x 1/3 1))
(/.f64 1 (/.f64 (fma.f64 (.f64 x 1/3) (fma.f64 x 1/3 1) 1) (-.f64 1 (.f64 (pow.f64 x 3) 1/27))))
(.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 1) 1)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 1) (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 1) 1))
(/.f64 1 (/.f64 (fma.f64 x 1/3 1) (-.f64 1 (.f64 (.f64 x x) 1/9))))
(.f64 (-.f64 1 (.f64 x (*.f64 x 1/9))) (/.f64 1 (fma.f64 x 1/3 1)))
(/.f64 (+.f64 1 (.f64 (.f64 x x) -1/9)) (fma.f64 x 1/3 1))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/27)) (fma.f64 (.f64 x 1/3) (fma.f64 x 1/3 1) 1))
(.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 1) 1)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 1) (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 1) 1))
(/.f64 (-.f64 1 (.f64 (.f64 x x) 1/9)) (fma.f64 x 1/3 1))
(.f64 (-.f64 1 (.f64 x (*.f64 x 1/9))) (/.f64 1 (fma.f64 x 1/3 1)))
(/.f64 (+.f64 1 (.f64 (.f64 x x) -1/9)) (fma.f64 x 1/3 1))
(/.f64 (neg.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/27))) (neg.f64 (fma.f64 (.f64 x 1/3) (fma.f64 x 1/3 1) 1)))
(.f64 1 (/.f64 (fma.f64 (pow.f64 x 3) -1/27 1) (fma.f64 (.f64 x 1/3) (fma.f64 x 1/3 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (.f64 (.f64 x x) 1/9))) (neg.f64 (fma.f64 x 1/3 1)))
(/.f64 (neg.f64 (-.f64 1 (.f64 x (.f64 x 1/9)))) (neg.f64 (fma.f64 x 1/3 1)))
(/.f64 (+.f64 -1 (.f64 x (.f64 x 1/9))) (+.f64 (*.f64 x -1/3) -1))
(/.f64 (+.f64 -1 (.f64 x (.f64 x 1/9))) (fma.f64 x -1/3 -1))
(/.f64 (+.f64 1 (pow.f64 (.f64 x -1/3) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 x -1/3) 2) (*.f64 x -1/3))))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 3) -1/27)) (+.f64 1 (-.f64 (pow.f64 (.f64 x -1/3) 2) (*.f64 x -1/3))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 1) (+.f64 (.f64 x (.f64 x 1/9)) (fma.f64 x 1/3 1)))
(/.f64 (-.f64 1 (pow.f64 (.f64 x -1/3) 2)) (-.f64 1 (.f64 x -1/3)))
(.f64 (-.f64 1 (.f64 x (*.f64 x 1/9))) (/.f64 1 (fma.f64 x 1/3 1)))
(/.f64 (+.f64 1 (.f64 (.f64 x x) -1/9)) (fma.f64 x 1/3 1))
(pow.f64 (fma.f64 x -1/3 1) 1)
(fma.f64 x -1/3 1)
(pow.f64 (pow.f64 (fma.f64 x -1/3 1) 2) 1/2)
(fma.f64 x -1/3 1)
(pow.f64 (pow.f64 (fma.f64 x -1/3 1) 3) 1/3)
(fma.f64 x -1/3 1)
(pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 3)
(fma.f64 x -1/3 1)
(pow.f64 (sqrt.f64 (fma.f64 x -1/3 1)) 2)
(fma.f64 x -1/3 1)
(pow.f64 (/.f64 (fma.f64 (.f64 x 1/3) (fma.f64 x 1/3 1) 1) (-.f64 1 (.f64 (pow.f64 x 3) 1/27))) -1)
(.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 1) 1)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 1) (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 1) 1))
(pow.f64 (/.f64 (fma.f64 x 1/3 1) (-.f64 1 (.f64 (.f64 x x) 1/9))) -1)
(.f64 (-.f64 1 (.f64 x (*.f64 x 1/9))) (/.f64 1 (fma.f64 x 1/3 1)))
(/.f64 (+.f64 1 (.f64 (.f64 x x) -1/9)) (fma.f64 x 1/3 1))
(sqrt.f64 (pow.f64 (fma.f64 x -1/3 1) 2))
(fma.f64 x -1/3 1)
(log.f64 (exp.f64 (fma.f64 x -1/3 1)))
(fma.f64 x -1/3 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/3 1))))
(fma.f64 x -1/3 1)
(cbrt.f64 (pow.f64 (fma.f64 x -1/3 1) 3))
(fma.f64 x -1/3 1)
(expm1.f64 (log1p.f64 (fma.f64 x -1/3 1)))
(fma.f64 x -1/3 1)
(log1p.f64 (expm1.f64 (fma.f64 x -1/3 1)))
(fma.f64 x -1/3 1)
(exp.f64 (log1p.f64 (*.f64 x -1/3)))
(fma.f64 x -1/3 1)
(exp.f64 (.f64 (log1p.f64 (.f64 x -1/3)) 1))
(fma.f64 x -1/3 1)
(fma.f64 1 (*.f64 x -1/3) 1)
(fma.f64 x -1/3 1)
(fma.f64 x -1/3 1)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9)) (neg.f64 (cbrt.f64 (*.f64 x 1/3))) 1)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/9))) (neg.f64 (cbrt.f64 (*.f64 x 1/3))) 1)
(fma.f64 (neg.f64 (cbrt.f64 (.f64 x (.f64 x 1/9)))) (cbrt.f64 (*.f64 x 1/3)) 1)
(fma.f64 (sqrt.f64 (.f64 x 1/3)) (neg.f64 (sqrt.f64 (.f64 x 1/3))) 1)
(fma.f64 x -1/3 1)
(fma.f64 (neg.f64 x) 1/3 1)
(fma.f64 x -1/3 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) (cbrt.f64 (.f64 x -1/3)) 1)
(fma.f64 x -1/3 1)
(fma.f64 (sqrt.f64 (.f64 x -1/3)) (sqrt.f64 (.f64 x -1/3)) 1)
(fma.f64 x -1/3 1)
(fma.f64 -1 (*.f64 x 1/3) 1)
(fma.f64 x -1/3 1)
(fma.f64 (neg.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9))) (cbrt.f64 (*.f64 x 1/3)) 1)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/9))) (neg.f64 (cbrt.f64 (*.f64 x 1/3))) 1)
(fma.f64 (neg.f64 (cbrt.f64 (.f64 x (.f64 x 1/9)))) (cbrt.f64 (*.f64 x 1/3)) 1)
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x 1/3))) (sqrt.f64 (.f64 x 1/3)) 1)
(fma.f64 x -1/3 1)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 x) (-.f64 3 x))
✓	6.1b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

Compiler

Compiled 33 to 23 computations (30.3% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
1.0ms	y	@	inf	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
0.0ms	x	@	0	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
0.0ms	y	@	-inf	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
0.0ms	x	@	inf	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

rewrite61.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`log-prod_binary64`
365×	`pow-prod-down_binary64`
302×	`pow2_binary64`
230×	`prod-diff_binary64`
211×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	224	26
2	3285	26

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
(*.f64 (-.f64 1 x) (-.f64 3 x))

Outputs

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

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

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

472×	`associate-/r*_binary64`
427×	`unswap-sqr_binary64`
316×	`div-sub_binary64`
308×	`associate-/l/_binary64`
299×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	2603
1	808	2468
2	3110	2464

Stop Event

1×	node limit

Counts

150 → 190

Calls

Call 1

Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
3
(+.f64 3 (*.f64 -4 x))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 0 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y))))) 1)
(-.f64 (/.f64 1 (.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (.f64 3 (/.f64 y (-.f64 3 x)))))
(.f64 1 (.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))))
(.f64 (-.f64 1 x) (/.f64 1 (.f64 3 (/.f64 y (-.f64 3 x)))))
(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
(.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y)))
(.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1/3 y))
(.f64 (.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))) 1)
(.f64 (cbrt.f64 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))) (pow.f64 (cbrt.f64 (.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))) 2) (cbrt.f64 (.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) 2) (.f64 (cbrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) (/.f64 1/3 y)))
(.f64 (sqrt.f64 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))) (sqrt.f64 (.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))))
(.f64 (sqrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) (.f64 (sqrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) (/.f64 1/3 y)))
(.f64 (.f64 (-.f64 1 x) (neg.f64 (-.f64 3 x))) (/.f64 1 (*.f64 y -3)))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))
(*.f64 (-.f64 1 (/.f64 x 3)) (/.f64 (-.f64 1 x) y))
(.f64 (/.f64 1/3 y) (.f64 (-.f64 1 x) (-.f64 3 x)))
(*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3)
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) 1) (/.f64 (-.f64 3 x) (.f64 3 y)))
(*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3))
(.f64 (/.f64 (-.f64 3 x) 1) (/.f64 (-.f64 1 x) (.f64 3 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) 2) 1) (/.f64 (cbrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) (.f64 3 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) 1) (/.f64 (sqrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) (.f64 3 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) y) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 3))
(.f64 (/.f64 (-.f64 1 x) (.f64 3 y)) (-.f64 3 x))
(*.f64 (/.f64 (-.f64 1 x) 3) (/.f64 (-.f64 3 x) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) 2) 3) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) y))
(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) 3) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) y))
(.f64 (/.f64 1 y) (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) 3))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) 2) y) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 3))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 y)) -2) (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (cbrt.f64 (.f64 3 y))))
(.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (.f64 3 y)) 2)) (/.f64 (-.f64 3 x) (cbrt.f64 (*.f64 3 y))))
(.f64 (/.f64 (-.f64 3 x) (pow.f64 (cbrt.f64 (.f64 3 y)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (*.f64 3 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) 2) (pow.f64 (cbrt.f64 (.f64 3 y)) 2)) (cbrt.f64 (.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) (pow.f64 (cbrt.f64 (.f64 3 y)) 2)) (/.f64 (sqrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) (cbrt.f64 (*.f64 3 y))))
(.f64 (pow.f64 (.f64 3 y) -1/2) (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (sqrt.f64 (.f64 3 y))))
(.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (.f64 3 y))) (/.f64 (-.f64 3 x) (sqrt.f64 (*.f64 3 y))))
(.f64 (/.f64 (-.f64 3 x) (sqrt.f64 (.f64 3 y))) (/.f64 (-.f64 1 x) (sqrt.f64 (*.f64 3 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) 2) (sqrt.f64 (.f64 3 y))) (/.f64 (cbrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) (sqrt.f64 (*.f64 3 y))))
(pow.f64 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y))) 1)
(pow.f64 (pow.f64 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))) 3)
(pow.f64 (sqrt.f64 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))) 2)
(pow.f64 (*.f64 (/.f64 3 (-.f64 1 x)) (/.f64 y (-.f64 3 x))) -1)
(pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) 3) (pow.f64 (.f64 3 y) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 (/.f64 3 (-.f64 1 x)) (/.f64 y (-.f64 3 x))) 1) -1)
(neg.f64 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y -3)))
(sqrt.f64 (pow.f64 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y))) 2))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y))))))
(cbrt.f64 (pow.f64 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) 3) (pow.f64 (.f64 3 y) 3)))
(expm1.f64 (log1p.f64 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))))
(log1p.f64 (expm1.f64 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))))
(exp.f64 (log.f64 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))) 1))
(+.f64 (-.f64 3 x) (*.f64 (neg.f64 x) (-.f64 3 x)))
(+.f64 (-.f64 3 x) (*.f64 (-.f64 3 x) (neg.f64 x)))
(+.f64 0 (*.f64 (-.f64 1 x) (-.f64 3 x)))
(+.f64 (.f64 3 (-.f64 1 x)) (.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 (.f64 (-.f64 1 x) 3) (.f64 (-.f64 1 x) (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)))) 1)
(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 27 (pow.f64 x 3))) (.f64 (+.f64 1 (fma.f64 x x x)) (fma.f64 x (+.f64 x 3) 9)))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 27 (pow.f64 x 3))) (*.f64 (+.f64 1 x) (fma.f64 x (+.f64 x 3) 9)))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 9 (.f64 x x))) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 x 3)))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 9 (.f64 x x))) (.f64 (+.f64 1 x) (+.f64 x 3)))
(/.f64 (.f64 (-.f64 27 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 3))) (.f64 (fma.f64 x (+.f64 x 3) 9) (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 (-.f64 9 (.f64 x x)) (-.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 x 3) (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 (-.f64 27 (pow.f64 x 3)) (-.f64 1 (.f64 x x))) (*.f64 (fma.f64 x (+.f64 x 3) 9) (+.f64 1 x)))
(/.f64 (.f64 (-.f64 9 (.f64 x x)) (-.f64 1 (.f64 x x))) (.f64 (+.f64 x 3) (+.f64 1 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 3 x)) (+.f64 1 (fma.f64 x x x)))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 3 x)) (+.f64 1 x))
(/.f64 (*.f64 (-.f64 27 (pow.f64 x 3)) (-.f64 1 x)) (fma.f64 x (+.f64 x 3) 9))
(/.f64 (.f64 (-.f64 9 (.f64 x x)) (-.f64 1 x)) (+.f64 x 3))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 27 (pow.f64 x 3))) (fma.f64 x (+.f64 x 3) 9))
(/.f64 (.f64 (-.f64 1 x) (-.f64 9 (.f64 x x))) (+.f64 x 3))
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (.f64 (-.f64 3 x) (-.f64 1 (.f64 x x))) (+.f64 1 x))
(pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 1)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))))
(exp.f64 (log.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) 1))
(fma.f64 1 (-.f64 3 x) (*.f64 (neg.f64 x) (-.f64 3 x)))
(fma.f64 1 (-.f64 3 x) (*.f64 (-.f64 3 x) (neg.f64 x)))
(fma.f64 (-.f64 1 x) 3 (*.f64 (-.f64 1 x) (neg.f64 x)))
(fma.f64 3 (-.f64 1 x) (*.f64 (neg.f64 x) (-.f64 1 x)))
(fma.f64 (-.f64 3 x) 1 (*.f64 (neg.f64 x) (-.f64 3 x)))
(fma.f64 (-.f64 3 x) 1 (*.f64 (-.f64 3 x) (neg.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 3 x)) (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (*.f64 (neg.f64 x) (-.f64 3 x)))
(fma.f64 (cbrt.f64 (-.f64 3 x)) (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (*.f64 (-.f64 3 x) (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (cbrt.f64 (-.f64 3 x)) (*.f64 (neg.f64 x) (-.f64 3 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (cbrt.f64 (-.f64 3 x)) (*.f64 (-.f64 3 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 3 x)) (sqrt.f64 (-.f64 3 x)) (*.f64 (neg.f64 x) (-.f64 3 x)))
(fma.f64 (sqrt.f64 (-.f64 3 x)) (sqrt.f64 (-.f64 3 x)) (*.f64 (-.f64 3 x) (neg.f64 x)))
(fma.f64 (-.f64 27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 3) 9)) (*.f64 (neg.f64 x) (-.f64 3 x)))
(fma.f64 (-.f64 27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 3) 9)) (*.f64 (-.f64 3 x) (neg.f64 x)))
(fma.f64 (-.f64 9 (.f64 x x)) (/.f64 1 (+.f64 x 3)) (.f64 (neg.f64 x) (-.f64 3 x)))
(fma.f64 (-.f64 9 (.f64 x x)) (/.f64 1 (+.f64 x 3)) (.f64 (-.f64 3 x) (neg.f64 x)))

Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (/.f64 (.f64 1/3 (.f64 x x)) y)))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) (.f64 1/3 (/.f64 (.f64 x x) y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (/.f64 (.f64 1/3 (.f64 x x)) y)))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) (.f64 1/3 (/.f64 (.f64 x x) y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (.f64 1/3 (.f64 x x)) y)
(.f64 1/3 (/.f64 (.f64 x x) y))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 (.f64 1/3 (.f64 x x)) y))
(fma.f64 -4/3 (/.f64 x y) (.f64 1/3 (/.f64 (.f64 x x) y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (/.f64 (.f64 1/3 (.f64 x x)) y)))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) (.f64 1/3 (/.f64 (.f64 x x) y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (/.f64 (.f64 1/3 (.f64 x x)) y)))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) (.f64 1/3 (/.f64 (.f64 x x) y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (.f64 1/3 (.f64 x x)) y)
(.f64 1/3 (/.f64 (.f64 x x) y))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 (.f64 1/3 (.f64 x x)) y))
(fma.f64 -4/3 (/.f64 x y) (.f64 1/3 (/.f64 (.f64 x x) y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (/.f64 (.f64 1/3 (.f64 x x)) y)))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) (.f64 1/3 (/.f64 (.f64 x x) y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (/.f64 (.f64 1/3 (.f64 x x)) y)))
(+.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) (.f64 1/3 (/.f64 (.f64 x x) y)))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y)))
(.f64 (-.f64 3 x) (.f64 (/.f64 (-.f64 1 x) y) 1/3))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y)))
(.f64 (-.f64 3 x) (.f64 (/.f64 (-.f64 1 x) y) 1/3))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y)))
(.f64 (-.f64 3 x) (.f64 (/.f64 (-.f64 1 x) y) 1/3))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y)))
(.f64 (-.f64 3 x) (.f64 (/.f64 (-.f64 1 x) y) 1/3))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y)))
(.f64 (-.f64 3 x) (.f64 (/.f64 (-.f64 1 x) y) 1/3))
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(.f64 (-.f64 3 x) (.f64 (/.f64 (-.f64 1 x) y) 1/3))
(neg.f64 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y -3)))
(.f64 (-.f64 1 x) (.f64 (neg.f64 (-.f64 3 x)) (/.f64 1 (*.f64 y -3))))
(.f64 (.f64 (-.f64 1 x) (+.f64 -3 x)) (/.f64 -1/3 y))
(.f64 (-.f64 1 x) (/.f64 (+.f64 x -3) (.f64 y -3)))
(sqrt.f64 (pow.f64 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y))) 2))
(.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y)))
(.f64 (-.f64 3 x) (.f64 (/.f64 (-.f64 1 x) y) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))))
(log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 1 x) y)) (-.f64 3 x))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (/.f64 (-.f64 3 x) y))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y))))))
(.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y)))
(.f64 (-.f64 3 x) (.f64 (/.f64 (-.f64 1 x) y) 1/3))
(cbrt.f64 (pow.f64 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y))) 3))
(.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y)))
(.f64 (-.f64 3 x) (.f64 (/.f64 (-.f64 1 x) y) 1/3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) 3) (pow.f64 (.f64 3 y) 3)))
(.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y)))
(.f64 (-.f64 3 x) (.f64 (/.f64 (-.f64 1 x) y) 1/3))
(expm1.f64 (log1p.f64 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))))
(.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y)))
(.f64 (-.f64 3 x) (.f64 (/.f64 (-.f64 1 x) y) 1/3))
(log1p.f64 (expm1.f64 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))))
(.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y)))
(.f64 (-.f64 3 x) (.f64 (/.f64 (-.f64 1 x) y) 1/3))
(exp.f64 (log.f64 (.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))))
(.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y)))
(.f64 (-.f64 3 x) (.f64 (/.f64 (-.f64 1 x) y) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))) 1))
(.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y)))
(.f64 (-.f64 3 x) (.f64 (/.f64 (-.f64 1 x) y) 1/3))
(+.f64 (-.f64 3 x) (*.f64 (neg.f64 x) (-.f64 3 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(+.f64 (-.f64 3 x) (*.f64 (-.f64 3 x) (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(+.f64 0 (*.f64 (-.f64 1 x) (-.f64 3 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(+.f64 (.f64 3 (-.f64 1 x)) (.f64 (neg.f64 x) (-.f64 1 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(+.f64 (.f64 (-.f64 1 x) 3) (.f64 (-.f64 1 x) (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)))) 1)
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 27 (pow.f64 x 3))) (.f64 (+.f64 1 (fma.f64 x x x)) (fma.f64 x (+.f64 x 3) 9)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))) (/.f64 (-.f64 27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 3) 9)))
(*.f64 (/.f64 (-.f64 27 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))) (/.f64 (-.f64 1 (pow.f64 x 3)) (fma.f64 x (+.f64 x 3) 9)))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 27 (pow.f64 x 3))) (*.f64 (+.f64 1 x) (fma.f64 x (+.f64 x 3) 9)))
(.f64 (/.f64 (-.f64 1 (.f64 x x)) (+.f64 1 x)) (/.f64 (-.f64 27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 3) 9)))
(/.f64 (-.f64 27 (pow.f64 x 3)) (/.f64 (fma.f64 x (+.f64 x 3) 9) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 9 (.f64 x x))) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 x 3)))
(.f64 (/.f64 (-.f64 9 (.f64 x x)) (+.f64 x 3)) (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 9 (.f64 x x))) (.f64 (+.f64 1 x) (+.f64 x 3)))
(.f64 (/.f64 (-.f64 9 (.f64 x x)) (+.f64 x 3)) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)))
(/.f64 (.f64 (-.f64 27 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 3))) (.f64 (fma.f64 x (+.f64 x 3) 9) (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))) (/.f64 (-.f64 27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 3) 9)))
(*.f64 (/.f64 (-.f64 27 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))) (/.f64 (-.f64 1 (pow.f64 x 3)) (fma.f64 x (+.f64 x 3) 9)))
(/.f64 (.f64 (-.f64 9 (.f64 x x)) (-.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 x 3) (+.f64 1 (fma.f64 x x x))))
(.f64 (/.f64 (-.f64 9 (.f64 x x)) (+.f64 x 3)) (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 (-.f64 27 (pow.f64 x 3)) (-.f64 1 (.f64 x x))) (*.f64 (fma.f64 x (+.f64 x 3) 9) (+.f64 1 x)))
(.f64 (/.f64 (-.f64 1 (.f64 x x)) (+.f64 1 x)) (/.f64 (-.f64 27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 3) 9)))
(/.f64 (-.f64 27 (pow.f64 x 3)) (/.f64 (fma.f64 x (+.f64 x 3) 9) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))))
(/.f64 (.f64 (-.f64 9 (.f64 x x)) (-.f64 1 (.f64 x x))) (.f64 (+.f64 x 3) (+.f64 1 x)))
(.f64 (/.f64 (-.f64 9 (.f64 x x)) (+.f64 x 3)) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 3 x)) (+.f64 1 (fma.f64 x x x)))
(/.f64 (-.f64 3 x) (/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))) (-.f64 3 x))
(*.f64 (/.f64 (-.f64 3 x) (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 3 x)) (+.f64 1 x))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 1 x) (-.f64 3 x)))
(.f64 (/.f64 (-.f64 1 (.f64 x x)) (+.f64 1 x)) (-.f64 3 x))
(/.f64 (*.f64 (-.f64 27 (pow.f64 x 3)) (-.f64 1 x)) (fma.f64 x (+.f64 x 3) 9))
(/.f64 (-.f64 1 x) (/.f64 (fma.f64 x (+.f64 x 3) 9) (-.f64 27 (pow.f64 x 3))))
(*.f64 (/.f64 (-.f64 27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 3) 9)) (-.f64 1 x))
(/.f64 (.f64 (-.f64 9 (.f64 x x)) (-.f64 1 x)) (+.f64 x 3))
(/.f64 (-.f64 9 (*.f64 x x)) (/.f64 (+.f64 x 3) (-.f64 1 x)))
(.f64 (/.f64 (-.f64 9 (.f64 x x)) (+.f64 x 3)) (-.f64 1 x))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 27 (pow.f64 x 3))) (fma.f64 x (+.f64 x 3) 9))
(/.f64 (-.f64 1 x) (/.f64 (fma.f64 x (+.f64 x 3) 9) (-.f64 27 (pow.f64 x 3))))
(*.f64 (/.f64 (-.f64 27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 3) 9)) (-.f64 1 x))
(/.f64 (.f64 (-.f64 1 x) (-.f64 9 (.f64 x x))) (+.f64 x 3))
(/.f64 (-.f64 9 (*.f64 x x)) (/.f64 (+.f64 x 3) (-.f64 1 x)))
(.f64 (/.f64 (-.f64 9 (.f64 x x)) (+.f64 x 3)) (-.f64 1 x))
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (-.f64 3 x) (/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))) (-.f64 3 x))
(*.f64 (/.f64 (-.f64 3 x) (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(/.f64 (.f64 (-.f64 3 x) (-.f64 1 (.f64 x x))) (+.f64 1 x))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 1 x) (-.f64 3 x)))
(.f64 (/.f64 (-.f64 1 (.f64 x x)) (+.f64 1 x)) (-.f64 3 x))
(pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 1)
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 2) 1/2)
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3) 1/3)
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 3)
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 2)
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 2))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)))))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(exp.f64 (log.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) 1))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(fma.f64 1 (-.f64 3 x) (*.f64 (neg.f64 x) (-.f64 3 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(fma.f64 1 (-.f64 3 x) (*.f64 (-.f64 3 x) (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(fma.f64 (-.f64 1 x) 3 (*.f64 (-.f64 1 x) (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(fma.f64 3 (-.f64 1 x) (*.f64 (neg.f64 x) (-.f64 1 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(fma.f64 (-.f64 3 x) 1 (*.f64 (neg.f64 x) (-.f64 3 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(fma.f64 (-.f64 3 x) 1 (*.f64 (-.f64 3 x) (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(fma.f64 (cbrt.f64 (-.f64 3 x)) (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (*.f64 (neg.f64 x) (-.f64 3 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(fma.f64 (cbrt.f64 (-.f64 3 x)) (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (*.f64 (-.f64 3 x) (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (cbrt.f64 (-.f64 3 x)) (*.f64 (neg.f64 x) (-.f64 3 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (cbrt.f64 (-.f64 3 x)) (*.f64 (-.f64 3 x) (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(fma.f64 (sqrt.f64 (-.f64 3 x)) (sqrt.f64 (-.f64 3 x)) (*.f64 (neg.f64 x) (-.f64 3 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(fma.f64 (sqrt.f64 (-.f64 3 x)) (sqrt.f64 (-.f64 3 x)) (*.f64 (-.f64 3 x) (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 3 x))
(*.f64 (-.f64 3 x) (-.f64 1 x))
(fma.f64 (-.f64 27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 3) 9)) (*.f64 (neg.f64 x) (-.f64 3 x)))
(fma.f64 (-.f64 27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 3) 9)) (*.f64 (-.f64 3 x) (neg.f64 x)))
(fma.f64 (-.f64 27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 3) 9)) (*.f64 x (+.f64 -3 x)))
(+.f64 (*.f64 x (+.f64 x -3)) (/.f64 (-.f64 27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 3) 9)))
(fma.f64 (-.f64 27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 3) 9)) (*.f64 (-.f64 3 x) (neg.f64 x)))
(fma.f64 (-.f64 27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 3) 9)) (*.f64 x (+.f64 -3 x)))
(+.f64 (*.f64 x (+.f64 x -3)) (/.f64 (-.f64 27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 3) 9)))
(fma.f64 (-.f64 9 (.f64 x x)) (/.f64 1 (+.f64 x 3)) (.f64 (neg.f64 x) (-.f64 3 x)))
(fma.f64 (-.f64 9 (.f64 x x)) (/.f64 1 (+.f64 x 3)) (.f64 (-.f64 3 x) (neg.f64 x)))
(fma.f64 (-.f64 9 (.f64 x x)) (/.f64 1 (+.f64 x 3)) (.f64 x (+.f64 -3 x)))
(+.f64 (.f64 x (+.f64 x -3)) (/.f64 (-.f64 9 (.f64 x x)) (+.f64 x 3)))
(fma.f64 (-.f64 9 (.f64 x x)) (/.f64 1 (+.f64 x 3)) (.f64 (-.f64 3 x) (neg.f64 x)))
(fma.f64 (-.f64 9 (.f64 x x)) (/.f64 1 (+.f64 x 3)) (.f64 x (+.f64 -3 x)))
(+.f64 (.f64 x (+.f64 x -3)) (/.f64 (-.f64 9 (.f64 x x)) (+.f64 x 3)))

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/3 y)
✓	6.1b	(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))

Compiler

Compiled 29 to 20 computations (31% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
1.0ms	y	@	0	(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
1.0ms	y	@	inf	(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
0.0ms	y	@	-inf	(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
0.0ms	x	@	-inf	(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`unpow-prod-down_binary64`
459×	`log-prod_binary64`
355×	`exp-prod_binary64`
278×	`pow2_binary64`
256×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	221	14
2	2708	14

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))

Outputs

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

simplify79.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

411×	`log-div_binary64`
351×	`log-prod_binary64`
334×	`distribute-rgt-in_binary64`
328×	`distribute-lft-in_binary64`
270×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1005
1	284	981
2	875	969
3	5176	969

Stop Event

1×	node limit

Counts

62 → 65

Calls

Call 1

Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(+.f64 0 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))
(+.f64 (.f64 (.f64 x (+.f64 x -4)) (/.f64 1/3 y)) (*.f64 3 (/.f64 1/3 y)))
(+.f64 (.f64 (/.f64 1/3 y) (.f64 x (+.f64 x -4))) (*.f64 (/.f64 1/3 y) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 1)
(/.f64 (fma.f64 x (+.f64 x -4) 3) (*.f64 y 3))
(/.f64 1 (/.f64 y (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3)))
(/.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) y)
(/.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) 1) y)
(/.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 -1/3 (fma.f64 x (+.f64 x -4) 3)) (neg.f64 y))
(/.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) -1/3) (neg.f64 y))
(pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 1)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))
(pow.f64 (/.f64 y (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 2)) (cbrt.f64 (log.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))) (sqrt.f64 (log.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))
(exp.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 1) 1))
(fma.f64 (/.f64 1/3 y) (.f64 x (+.f64 x -4)) (.f64 (/.f64 1/3 y) 3))
(fma.f64 (.f64 x (+.f64 x -4)) (/.f64 1/3 y) (.f64 3 (/.f64 1/3 y)))

Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(.f64 1/3 (/.f64 (+.f64 (.f64 (-.f64 x 4) x) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(+.f64 0 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(+.f64 (.f64 (.f64 x (+.f64 x -4)) (/.f64 1/3 y)) (*.f64 3 (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(+.f64 (.f64 (/.f64 1/3 y) (.f64 x (+.f64 x -4))) (*.f64 (/.f64 1/3 y) 3))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (-.f64 x 4) 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 1)
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(/.f64 (fma.f64 x (+.f64 x -4) 3) (*.f64 y 3))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(/.f64 1 (/.f64 y (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3)))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(/.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) y)
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3)) (neg.f64 y))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(/.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) 1) y)
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(/.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
(/.f64 (.f64 1/3 (fma.f64 x (+.f64 x -4) 3)) (.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y))))
(/.f64 (fma.f64 x (-.f64 x 4) 3) (.f64 (.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)) 3))
(.f64 (/.f64 (fma.f64 x (+.f64 x -4) 3) (cbrt.f64 y)) (/.f64 1/3 (cbrt.f64 (.f64 y y))))
(/.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(/.f64 (*.f64 -1/3 (fma.f64 x (+.f64 x -4) 3)) (neg.f64 y))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(/.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) -1/3) (neg.f64 y))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 1)
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 2) 1/2)
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 3) 1/3)
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 3)
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 2)
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(pow.f64 (/.f64 y (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3)) -1)
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 2)) (cbrt.f64 (log.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y)))) 2)) (cbrt.f64 (log.f64 (.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y)))) 2)) (cbrt.f64 (log.f64 (.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))) (sqrt.f64 (log.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))))) (sqrt.f64 (log.f64 (.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))))) (sqrt.f64 (log.f64 (.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y)))))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 2))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(log.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 3))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(exp.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 1))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 3)) 1/3))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 3))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 2))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 1) 1))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(fma.f64 (/.f64 1/3 y) (.f64 x (+.f64 x -4)) (.f64 (/.f64 1/3 y) 3))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(fma.f64 (.f64 x (+.f64 x -4)) (/.f64 1/3 y) (.f64 3 (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (fma.f64 x (+.f64 x -4) 3) y))
(*.f64 1/3 (/.f64 (fma.f64 x (-.f64 x 4) 3) y))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))

eval408.0ms (5.5%)

Compiler: Compiled 18827 to 12886 computations (31.6% saved)

prune243.0ms (3.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	973	15	988
Fresh	0	0	0
Picked	1	0	1
Done	3	1	4
Total	977	16	993

Error

Counts

993 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f64 (/.f64 (-.f64 1 x) y) (/.f64 3 (-.f64 3 x)))
	47.7b	(/.f64 (.f64 x (+.f64 x -4)) (.f64 y 3))
	48.0b	(/.f64 (.f64 x x) (.f64 y 3))
▶	48.1b	(/.f64 (.f64 1/3 (.f64 x x)) y)
	21.0b	(/.f64 3 (*.f64 y 3))
▶	20.8b	(/.f64 1 y)
	20.6b	(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3))
	41.9b	(.f64 (/.f64 (-.f64 1 x) y) (.f64 x -1/3))
	21.0b	(*.f64 (/.f64 (-.f64 1 x) y) 1)
	41.8b	(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 3 x) 3))
✓	0.1b	(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))
▶	41.9b	(.f64 (-.f64 1 x) (/.f64 (.f64 x -1/3) y))
	21.0b	(*.f64 (-.f64 1 x) (/.f64 1 y))
	41.9b	(.f64 (-.f64 1 x) (.f64 (/.f64 x y) -1/3))
▶	48.1b	(.f64 1/3 (/.f64 (.f64 x x) y))
	41.8b	(*.f64 1/3 (/.f64 x (/.f64 y x)))

Compiler

Compiled 305 to 224 computations (26.6% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 1 x) y)
✓	0.0b	(/.f64 3 (-.f64 3 x))
✓	0.1b	(/.f64 (/.f64 (-.f64 1 x) y) (/.f64 3 (-.f64 3 x)))

Compiler

Compiled 33 to 23 computations (30.3% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 3 (-.f64 3 x))
0.0ms	x	@	-inf	(/.f64 3 (-.f64 3 x))
0.0ms	x	@	0	(/.f64 3 (-.f64 3 x))
0.0ms	x	@	0	(/.f64 (/.f64 (-.f64 1 x) y) (/.f64 3 (-.f64 3 x)))
0.0ms	x	@	-inf	(/.f64 (/.f64 (-.f64 1 x) y) (/.f64 3 (-.f64 3 x)))

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

623×	`log-prod_binary64`
318×	`pow2_binary64`
281×	`prod-diff_binary64`
279×	`log-div_binary64`
221×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	236	23
2	3538	23

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

Inputs
(/.f64 (/.f64 (-.f64 1 x) y) (/.f64 3 (-.f64 3 x)))
(/.f64 3 (-.f64 3 x))

Outputs

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

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

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-def_binary64`
389×	`associate-/l/_binary64`
354×	`unswap-sqr_binary64`
333×	`associate-/r/_binary64`
173×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	275	1992
1	731	1953
2	2943	1784

Stop Event

1×	node limit

Counts

130 → 152

Calls

Call 1

Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 1 (+.f64 (.f64 1/9 (pow.f64 x 2)) (.f64 1/3 x)))
(+.f64 1 (+.f64 (.f64 1/9 (pow.f64 x 2)) (+.f64 (.f64 1/3 x) (*.f64 1/27 (pow.f64 x 3)))))
(/.f64 -3 x)
(neg.f64 (+.f64 (.f64 9 (/.f64 1 (pow.f64 x 2))) (.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3 (/.f64 1 x)) (*.f64 9 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 81 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3 (/.f64 1 x)) (.f64 9 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -3 x)
(neg.f64 (+.f64 (.f64 9 (/.f64 1 (pow.f64 x 2))) (.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3 (/.f64 1 x)) (*.f64 9 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 81 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3 (/.f64 1 x)) (.f64 9 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 0 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3))))
(+.f64 (.f64 3 (.f64 (/.f64 (-.f64 1 x) y) 1/3)) (.f64 (neg.f64 x) (.f64 (/.f64 (-.f64 1 x) y) 1/3)))
(+.f64 (.f64 (.f64 (/.f64 (-.f64 1 x) y) 1/3) 3) (.f64 (.f64 (/.f64 (-.f64 1 x) y) 1/3) (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y))) (-.f64 3 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y))) (-.f64 3 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y))) (-.f64 3 x)))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y))) (-.f64 3 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3))))) 1)
(-.f64 (/.f64 (/.f64 1 y) (/.f64 3 (-.f64 3 x))) (/.f64 (/.f64 x y) (/.f64 3 (-.f64 3 x))))
(-.f64 (/.f64 1 (/.f64 y (-.f64 1 (/.f64 x 3)))) (/.f64 x (/.f64 y (-.f64 1 (/.f64 x 3)))))
(.f64 1 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3))))
(*.f64 (-.f64 1 x) (/.f64 1 (/.f64 y (-.f64 1 (/.f64 x 3)))))
(.f64 (-.f64 1 x) (.f64 (/.f64 1 y) (-.f64 1 (/.f64 x 3))))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))
(.f64 (-.f64 3 x) (.f64 (/.f64 (-.f64 1 x) y) 1/3))
(.f64 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3))) 1)
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (-.f64 1 (/.f64 x 3))))
(.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))) 2) (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (-.f64 1 (/.f64 x 3))))
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))))
(*.f64 (neg.f64 (/.f64 (-.f64 1 x) y)) (/.f64 1 (/.f64 -3 (-.f64 3 x))))
(*.f64 (-.f64 1 (/.f64 x 3)) (/.f64 (-.f64 1 x) y))
(.f64 (.f64 (/.f64 (-.f64 1 x) y) 1/3) (-.f64 3 x))
(*.f64 1/3 (/.f64 (/.f64 (-.f64 1 x) y) (/.f64 1 (-.f64 3 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 3 (-.f64 3 x))) (/.f64 (cbrt.f64 (-.f64 1 x)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 3 (-.f64 3 x))) (/.f64 (sqrt.f64 (-.f64 1 x)) y))
(*.f64 (/.f64 (-.f64 1 x) 1) (/.f64 (/.f64 1 y) (/.f64 3 (-.f64 3 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (/.f64 3 (-.f64 3 x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) 1) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (/.f64 3 (-.f64 3 x))))
(*.f64 (/.f64 (-.f64 1 x) 3) (/.f64 (/.f64 1 y) (/.f64 1 (-.f64 3 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) 3) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (/.f64 1 (-.f64 3 x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) 3) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (/.f64 1 (-.f64 3 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 3 (-.f64 3 x))) 2)) (/.f64 (/.f64 (-.f64 1 x) y) (cbrt.f64 (/.f64 3 (-.f64 3 x)))))
(*.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 3 (-.f64 3 x))) 2)) (/.f64 (/.f64 1 y) (cbrt.f64 (/.f64 3 (-.f64 3 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (pow.f64 (cbrt.f64 (/.f64 3 (-.f64 3 x))) 2)) (cbrt.f64 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (pow.f64 (cbrt.f64 (/.f64 3 (-.f64 3 x))) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (cbrt.f64 (/.f64 3 (-.f64 3 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 3 (-.f64 3 x)))) (/.f64 (/.f64 (-.f64 1 x) y) (sqrt.f64 (/.f64 3 (-.f64 3 x)))))
(*.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (/.f64 3 (-.f64 3 x)))) (/.f64 (/.f64 1 y) (sqrt.f64 (/.f64 3 (-.f64 3 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (sqrt.f64 (/.f64 3 (-.f64 3 x)))) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 3 (-.f64 3 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 1 x) y) 1) (-.f64 1 (/.f64 x 3)))
(*.f64 (/.f64 (/.f64 (-.f64 1 x) y) -3) (neg.f64 (-.f64 3 x)))
(.f64 (.f64 (*.f64 (/.f64 (-.f64 1 x) y) 1/3) 1) (-.f64 3 x))
(.f64 (.f64 (*.f64 (/.f64 (-.f64 1 x) y) 1/3) (cbrt.f64 (pow.f64 (-.f64 3 x) 2))) (cbrt.f64 (-.f64 3 x)))
(.f64 (.f64 (*.f64 (/.f64 (-.f64 1 x) y) 1/3) (sqrt.f64 (-.f64 3 x))) (sqrt.f64 (-.f64 3 x)))
(pow.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3))) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))) 2)
(pow.f64 (*.f64 (/.f64 3 (-.f64 3 x)) (/.f64 y (-.f64 1 x))) -1)
(pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) (pow.f64 (/.f64 3 (-.f64 3 x)) 3)) 1/3)
(pow.f64 (*.f64 (/.f64 y (-.f64 1 x)) (/.f64 3 (-.f64 3 x))) -1)
(pow.f64 (/.f64 (*.f64 (/.f64 3 (-.f64 3 x)) (/.f64 y (-.f64 1 x))) 1) -1)
(pow.f64 (/.f64 (/.f64 y (-.f64 1 (/.f64 x 3))) (-.f64 1 x)) -1)
(neg.f64 (/.f64 (/.f64 (-.f64 1 x) y) (/.f64 -3 (-.f64 3 x))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3))) 2))
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y))) (-.f64 3 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) (pow.f64 (/.f64 3 (-.f64 3 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))) 1))
(fma.f64 3 (.f64 (/.f64 (-.f64 1 x) y) 1/3) (.f64 (neg.f64 x) (*.f64 (/.f64 (-.f64 1 x) y) 1/3)))
(fma.f64 (.f64 (/.f64 (-.f64 1 x) y) 1/3) 3 (.f64 (*.f64 (/.f64 (-.f64 1 x) y) 1/3) (neg.f64 x)))
(+.f64 0 (/.f64 3 (-.f64 3 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 3 (-.f64 3 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 3 (-.f64 3 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 3 (-.f64 3 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 3 (-.f64 3 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 3 (-.f64 3 x)))) 1)
(*.f64 1 (/.f64 3 (-.f64 3 x)))
(*.f64 3 (/.f64 1 (-.f64 3 x)))
(*.f64 (/.f64 3 (-.f64 3 x)) 1)
(*.f64 (cbrt.f64 (/.f64 3 (-.f64 3 x))) (pow.f64 (cbrt.f64 (/.f64 3 (-.f64 3 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3 (-.f64 3 x))) 2) (cbrt.f64 (/.f64 3 (-.f64 3 x))))
(*.f64 (sqrt.f64 (/.f64 3 (-.f64 3 x))) (sqrt.f64 (/.f64 3 (-.f64 3 x))))
(*.f64 -3 (/.f64 1 (neg.f64 (-.f64 3 x))))
(*.f64 (/.f64 1 (-.f64 3 x)) 3)
(*.f64 (/.f64 3 (-.f64 27 (pow.f64 x 3))) (fma.f64 x (+.f64 x 3) 9))
(.f64 (/.f64 3 (-.f64 9 (.f64 x x))) (+.f64 x 3))
(pow.f64 (/.f64 3 (-.f64 3 x)) 1)
(pow.f64 (/.f64 9 (pow.f64 (-.f64 3 x) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 3 (-.f64 3 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 3 (-.f64 3 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 3 (-.f64 3 x))) 2)
(pow.f64 (-.f64 1 (/.f64 x 3)) -1)
(pow.f64 (/.f64 (-.f64 1 (/.f64 x 3)) 1) -1)
(sqrt.f64 (/.f64 9 (pow.f64 (-.f64 3 x) 2)))
(log.f64 (exp.f64 (/.f64 3 (-.f64 3 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3 (-.f64 3 x)))))
(cbrt.f64 (pow.f64 (/.f64 3 (-.f64 3 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 3 (-.f64 3 x))))
(log1p.f64 (expm1.f64 (/.f64 3 (-.f64 3 x))))
(exp.f64 (log.f64 (/.f64 3 (-.f64 3 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 3 (-.f64 3 x))) 1))

Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 1/3 (.f64 (/.f64 x y) x))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 1/3 (.f64 (/.f64 x y) x) (.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 1/3 (.f64 (/.f64 x y) x))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 1/3 (.f64 (/.f64 x y) x) (.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 1 (*.f64 x 1/3))
(fma.f64 x 1/3 1)
(+.f64 1 (+.f64 (.f64 1/9 (pow.f64 x 2)) (.f64 1/3 x)))
(+.f64 1 (fma.f64 1/9 (.f64 x x) (.f64 x 1/3)))
(+.f64 1 (fma.f64 x 1/3 (.f64 (.f64 1/9 x) x)))
(fma.f64 x 1/3 (fma.f64 (*.f64 1/9 x) x 1))
(+.f64 1 (+.f64 (.f64 1/9 (pow.f64 x 2)) (+.f64 (.f64 1/3 x) (*.f64 1/27 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 1/9 (.f64 x x) (fma.f64 1/3 x (.f64 1/27 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 (.f64 x x) 1/9 (fma.f64 x 1/3 (.f64 1/27 (pow.f64 x 3)))))
(+.f64 (fma.f64 x 1/3 1) (.f64 (.f64 x x) (+.f64 1/9 (*.f64 1/27 x))))
(/.f64 -3 x)
(neg.f64 (+.f64 (.f64 9 (/.f64 1 (pow.f64 x 2))) (.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 9 (*.f64 x x)) (/.f64 3 x)))
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 9 x) x))
(neg.f64 (+.f64 (.f64 27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3 (/.f64 1 x)) (*.f64 9 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 27 (pow.f64 x 3)) (+.f64 (/.f64 9 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (/.f64 -27 (pow.f64 x 3)) (-.f64 (/.f64 -3 x) (/.f64 (/.f64 9 x) x)))
(neg.f64 (+.f64 (.f64 81 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3 (/.f64 1 x)) (.f64 9 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 27 (pow.f64 x 3)) (+.f64 (/.f64 9 (*.f64 x x)) (/.f64 3 x))) (/.f64 81 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -27 (pow.f64 x 3)) (-.f64 (/.f64 -3 x) (/.f64 (/.f64 9 x) x))) (/.f64 -81 (pow.f64 x 4)))
(/.f64 -3 x)
(neg.f64 (+.f64 (.f64 9 (/.f64 1 (pow.f64 x 2))) (.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 9 (*.f64 x x)) (/.f64 3 x)))
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 9 x) x))
(neg.f64 (+.f64 (.f64 27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3 (/.f64 1 x)) (*.f64 9 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 27 (pow.f64 x 3)) (+.f64 (/.f64 9 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (/.f64 -27 (pow.f64 x 3)) (-.f64 (/.f64 -3 x) (/.f64 (/.f64 9 x) x)))
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(pow.f64 (/.f64 (*.f64 (/.f64 3 (-.f64 3 x)) (/.f64 y (-.f64 1 x))) 1) -1)
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(pow.f64 (/.f64 (/.f64 y (-.f64 1 (/.f64 x 3))) (-.f64 1 x)) -1)
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(neg.f64 (/.f64 (/.f64 (-.f64 1 x) y) (/.f64 -3 (-.f64 3 x))))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3))) 2))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y))) (-.f64 3 x)))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y))) (-.f64 3 x)))))
(*.f64 (-.f64 3 x) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3))))))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3))) 3))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) (pow.f64 (/.f64 3 (-.f64 3 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) (/.f64 27 (pow.f64 (-.f64 3 x) 3))))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) 27) (pow.f64 (-.f64 3 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))) 1))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(fma.f64 3 (.f64 (/.f64 (-.f64 1 x) y) 1/3) (.f64 (neg.f64 x) (*.f64 (/.f64 (-.f64 1 x) y) 1/3)))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(fma.f64 (.f64 (/.f64 (-.f64 1 x) y) 1/3) 3 (.f64 (*.f64 (/.f64 (-.f64 1 x) y) 1/3) (neg.f64 x)))
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 1/3 (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
(+.f64 0 (/.f64 3 (-.f64 3 x)))
(/.f64 3 (-.f64 3 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 3 (-.f64 3 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 3 (-.f64 3 x))))))
(/.f64 3 (-.f64 3 x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 3 (-.f64 3 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 3 (-.f64 3 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 3 (-.f64 3 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 3 (-.f64 3 x)))) 1)
(/.f64 3 (-.f64 3 x))
(*.f64 1 (/.f64 3 (-.f64 3 x)))
(/.f64 3 (-.f64 3 x))
(*.f64 3 (/.f64 1 (-.f64 3 x)))
(/.f64 3 (-.f64 3 x))
(*.f64 (/.f64 3 (-.f64 3 x)) 1)
(/.f64 3 (-.f64 3 x))
(*.f64 (cbrt.f64 (/.f64 3 (-.f64 3 x))) (pow.f64 (cbrt.f64 (/.f64 3 (-.f64 3 x))) 2))
(/.f64 3 (-.f64 3 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3 (-.f64 3 x))) 2) (cbrt.f64 (/.f64 3 (-.f64 3 x))))
(/.f64 3 (-.f64 3 x))
(*.f64 (sqrt.f64 (/.f64 3 (-.f64 3 x))) (sqrt.f64 (/.f64 3 (-.f64 3 x))))
(/.f64 3 (-.f64 3 x))
(*.f64 -3 (/.f64 1 (neg.f64 (-.f64 3 x))))
(/.f64 3 (-.f64 3 x))
(*.f64 (/.f64 1 (-.f64 3 x)) 3)
(/.f64 3 (-.f64 3 x))
(*.f64 (/.f64 3 (-.f64 27 (pow.f64 x 3))) (fma.f64 x (+.f64 x 3) 9))
(/.f64 3 (/.f64 (-.f64 27 (pow.f64 x 3)) (fma.f64 x (+.f64 x 3) 9)))
(.f64 (/.f64 3 (-.f64 9 (.f64 x x))) (+.f64 x 3))
(.f64 (+.f64 x 3) (/.f64 3 (-.f64 9 (.f64 x x))))
(/.f64 3 (/.f64 (-.f64 9 (*.f64 x x)) (+.f64 x 3)))
(/.f64 (fma.f64 x 3 9) (fma.f64 x (neg.f64 x) 9))
(pow.f64 (/.f64 3 (-.f64 3 x)) 1)
(/.f64 3 (-.f64 3 x))
(pow.f64 (/.f64 9 (pow.f64 (-.f64 3 x) 2)) 1/2)
(sqrt.f64 (/.f64 9 (pow.f64 (-.f64 3 x) 2)))
(pow.f64 (pow.f64 (/.f64 3 (-.f64 3 x)) 3) 1/3)
(/.f64 3 (-.f64 3 x))
(pow.f64 (cbrt.f64 (/.f64 3 (-.f64 3 x))) 3)
(/.f64 3 (-.f64 3 x))
(pow.f64 (sqrt.f64 (/.f64 3 (-.f64 3 x))) 2)
(/.f64 3 (-.f64 3 x))
(pow.f64 (-.f64 1 (/.f64 x 3)) -1)
(/.f64 1 (-.f64 1 (/.f64 x 3)))
(pow.f64 (/.f64 (-.f64 1 (/.f64 x 3)) 1) -1)
(/.f64 1 (-.f64 1 (/.f64 x 3)))
(sqrt.f64 (/.f64 9 (pow.f64 (-.f64 3 x) 2)))
(log.f64 (exp.f64 (/.f64 3 (-.f64 3 x))))
(/.f64 3 (-.f64 3 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3 (-.f64 3 x)))))
(/.f64 3 (-.f64 3 x))
(cbrt.f64 (pow.f64 (/.f64 3 (-.f64 3 x)) 3))
(/.f64 3 (-.f64 3 x))
(expm1.f64 (log1p.f64 (/.f64 3 (-.f64 3 x))))
(/.f64 3 (-.f64 3 x))
(log1p.f64 (expm1.f64 (/.f64 3 (-.f64 3 x))))
(/.f64 3 (-.f64 3 x))
(exp.f64 (log.f64 (/.f64 3 (-.f64 3 x))))
(/.f64 3 (-.f64 3 x))
(exp.f64 (*.f64 (log.f64 (/.f64 3 (-.f64 3 x))) 1))
(/.f64 3 (-.f64 3 x))

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 1/3 (/.f64 (.f64 x x) y))
✓	10.2b	(/.f64 (*.f64 x x) y)

Compiler

Compiled 20 to 7 computations (65% saved)

series22.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	(/.f64 (*.f64 x x) y)
1.0ms	x	@	0	(/.f64 (*.f64 x x) y)
1.0ms	y	@	0	(/.f64 (*.f64 x x) y)
1.0ms	x	@	inf	(/.f64 (*.f64 x x) y)
0.0ms	y	@	inf	(/.f64 (*.f64 x x) y)

rewrite45.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`pow1_binary64`
708×	`add-log-exp_binary64`
708×	`log1p-expm1-u_binary64`
708×	`expm1-log1p-u_binary64`
692×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	17
2	1931	17

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(/.f64 (*.f64 x x) y)
(.f64 1/3 (/.f64 (.f64 x x) y))

Outputs

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

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

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

867×	`log-div_binary64`
688×	`times-frac_binary64`
623×	`associate-/l*_binary64`
483×	`unswap-sqr_binary64`
420×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	926
1	362	917
2	1368	911
3	6687	911

Stop Event

1×	node limit

Counts

103 → 69

Calls

Call 1

Inputs
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(-.f64 (+.f64 1 (*.f64 (/.f64 x y) x)) 1)
(*.f64 x (/.f64 1 (/.f64 y x)))
(.f64 x (.f64 x (/.f64 1 y)))
(.f64 (.f64 x x) (/.f64 1 y))
(.f64 (.f64 (/.f64 x y) x) 1)
(.f64 1 (.f64 (/.f64 x y) x))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 y)))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 x y) x)) 2) (cbrt.f64 (*.f64 (/.f64 x y) x)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 y)))
(.f64 (/.f64 1 y) (.f64 x x))
(*.f64 (/.f64 x 1) (/.f64 x y))
(*.f64 (/.f64 x y) x)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (.f64 x x) (cbrt.f64 y)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (.f64 (/.f64 x y) x)))
(.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (.f64 x x) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)))
(pow.f64 (*.f64 (/.f64 x y) x) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) 3)
(pow.f64 (/.f64 x (sqrt.f64 y)) 2)
(pow.f64 (/.f64 y (*.f64 x x)) -1)
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 y)))
(sqrt.f64 (/.f64 (pow.f64 x 4) (*.f64 y y)))
(log.f64 (exp.f64 (*.f64 (/.f64 x y) x)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) x)))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) x)))
(-.f64 (+.f64 1 (.f64 (.f64 (/.f64 x y) x) 1/3)) 1)
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(/.f64 1 (/.f64 y (.f64 (.f64 x x) 1/3)))
(/.f64 (.f64 (.f64 x x) 1/3) y)
(/.f64 (neg.f64 (.f64 (.f64 x x) 1/3)) (neg.f64 y))
(/.f64 (/.f64 (.f64 (.f64 x x) 1/3) 1) y)
(/.f64 (/.f64 (.f64 (.f64 x x) 1/3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (.f64 (.f64 x x) 1/3) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 x 1/3) (/.f64 y x))
(/.f64 (.f64 (.f64 x (neg.f64 x)) 1/3) (neg.f64 y))
(/.f64 (*.f64 1/3 x) (/.f64 y x))
(/.f64 (.f64 1/3 (.f64 x (neg.f64 x))) (neg.f64 y))
(pow.f64 (.f64 (.f64 (/.f64 x y) x) 1/3) 1)
(pow.f64 (pow.f64 (.f64 (.f64 (/.f64 x y) x) 1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 (/.f64 x y) x) 1/3)) 3)
(pow.f64 (*.f64 (sqrt.f64 1/3) (/.f64 x (sqrt.f64 y))) 2)
(sqrt.f64 (.f64 1/9 (/.f64 (pow.f64 x 4) (.f64 y y))))
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 (/.f64 x y) x)))
(cbrt.f64 (pow.f64 (.f64 (.f64 (/.f64 x y) x) 1/3) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 (/.f64 x y) x) 1/3)))
(log1p.f64 (expm1.f64 (.f64 (.f64 (/.f64 x y) x) 1/3)))
(exp.f64 (log.f64 (.f64 (.f64 (/.f64 x y) x) 1/3)))

Outputs
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(*.f64 x (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(-.f64 (+.f64 1 (*.f64 (/.f64 x y) x)) 1)
(*.f64 x (/.f64 x y))
(*.f64 x (/.f64 1 (/.f64 y x)))
(*.f64 x (/.f64 x y))
(.f64 x (.f64 x (/.f64 1 y)))
(*.f64 x (/.f64 x y))
(.f64 (.f64 x x) (/.f64 1 y))
(*.f64 x (/.f64 x y))
(.f64 (.f64 (/.f64 x y) x) 1)
(*.f64 x (/.f64 x y))
(.f64 1 (.f64 (/.f64 x y) x))
(*.f64 x (/.f64 x y))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 y)))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 y))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (pow.f64 (cbrt.f64 x) 2))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) 2))
(*.f64 x (/.f64 x y))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 x y) x)) 2) (cbrt.f64 (*.f64 (/.f64 x y) x)))
(*.f64 x (/.f64 x y))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 x (/.f64 x y))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 y)))
(*.f64 x (/.f64 x y))
(.f64 (/.f64 1 y) (.f64 x x))
(*.f64 x (/.f64 x y))
(*.f64 (/.f64 x 1) (/.f64 x y))
(*.f64 x (/.f64 x y))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 y))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 x (/.f64 x y))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (.f64 x x) (cbrt.f64 y)))
(*.f64 x (/.f64 x y))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (.f64 (/.f64 x y) x)))
(.f64 (cbrt.f64 (.f64 x (/.f64 x y))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)))
(.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (.f64 x x) (sqrt.f64 y)))
(*.f64 x (/.f64 x y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 y))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (*.f64 (/.f64 x y) x) 1)
(*.f64 x (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) x) 3) 1/3)
(*.f64 x (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) 3)
(*.f64 x (/.f64 x y))
(pow.f64 (/.f64 x (sqrt.f64 y)) 2)
(*.f64 x (/.f64 x y))
(pow.f64 (/.f64 y (*.f64 x x)) -1)
(*.f64 x (/.f64 x y))
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 y)))
(*.f64 x (/.f64 x y))
(sqrt.f64 (/.f64 (pow.f64 x 4) (*.f64 y y)))
(fabs.f64 (*.f64 x (/.f64 x y)))
(log.f64 (exp.f64 (*.f64 (/.f64 x y) x)))
(*.f64 x (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) x) 3))
(*.f64 x (/.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 y 3)))
(*.f64 x (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) x)))
(*.f64 x (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) x)))
(*.f64 x (/.f64 x y))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) x)))
(*.f64 x (/.f64 x y))
(-.f64 (+.f64 1 (.f64 (.f64 (/.f64 x y) x) 1/3)) 1)
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(/.f64 1 (/.f64 y (.f64 (.f64 x x) 1/3)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(/.f64 (.f64 (.f64 x x) 1/3) y)
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(/.f64 (neg.f64 (.f64 (.f64 x x) 1/3)) (neg.f64 y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(/.f64 (/.f64 (.f64 (.f64 x x) 1/3) 1) y)
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(/.f64 (/.f64 (.f64 (.f64 x x) 1/3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(/.f64 (/.f64 (.f64 (.f64 x x) 1/3) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(/.f64 (*.f64 x 1/3) (/.f64 y x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(/.f64 (.f64 (.f64 x (neg.f64 x)) 1/3) (neg.f64 y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(/.f64 (*.f64 1/3 x) (/.f64 y x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(/.f64 (.f64 1/3 (.f64 x (neg.f64 x))) (neg.f64 y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(pow.f64 (.f64 (.f64 (/.f64 x y) x) 1/3) 1)
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(pow.f64 (pow.f64 (.f64 (.f64 (/.f64 x y) x) 1/3) 3) 1/3)
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(pow.f64 (cbrt.f64 (.f64 (.f64 (/.f64 x y) x) 1/3)) 3)
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(pow.f64 (*.f64 (sqrt.f64 1/3) (/.f64 x (sqrt.f64 y))) 2)
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(sqrt.f64 (.f64 1/9 (/.f64 (pow.f64 x 4) (.f64 y y))))
(sqrt.f64 (.f64 (/.f64 (pow.f64 x 4) (.f64 y y)) 1/9))
(sqrt.f64 (/.f64 1/9 (/.f64 (*.f64 y y) (pow.f64 x 4))))
(fabs.f64 (.f64 x (.f64 x (/.f64 1/3 y))))
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 (/.f64 x y) x)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(cbrt.f64 (pow.f64 (.f64 (.f64 (/.f64 x y) x) 1/3) 3))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (/.f64 x y) x) 1/3)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(log1p.f64 (expm1.f64 (.f64 (.f64 (/.f64 x y) x) 1/3)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))
(exp.f64 (log.f64 (.f64 (.f64 (/.f64 x y) x) 1/3)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(.f64 x (.f64 x (/.f64 1/3 y)))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 1/3 (.f64 x x))
✓	10.2b	(/.f64 (.f64 1/3 (.f64 x x)) y)

Compiler

Compiled 20 to 9 computations (55% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 1/3 (.f64 x x))
0.0ms	x	@	0	(.f64 1/3 (.f64 x x))
0.0ms	x	@	0	(/.f64 (.f64 1/3 (.f64 x x)) y)
0.0ms	x	@	inf	(/.f64 (.f64 1/3 (.f64 x x)) y)
0.0ms	y	@	-inf	(/.f64 (.f64 1/3 (.f64 x x)) y)

rewrite49.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`pow1_binary64`
733×	`add-log-exp_binary64`
733×	`log1p-expm1-u_binary64`
733×	`expm1-log1p-u_binary64`
717×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	17
2	1976	17

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(/.f64 (.f64 1/3 (.f64 x x)) y)
(.f64 1/3 (.f64 x x))

Outputs

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

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

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

810×	`times-frac_binary64`
516×	`fma-neg_binary64`
484×	`unswap-sqr_binary64`
389×	`associate-/r*_binary64`
327×	`associate-/l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	144	1005
1	405	999
2	1869	999
3	7730	999

Stop Event

1×	node limit

Counts

92 → 72

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(-.f64 (+.f64 1 (.f64 (/.f64 1/3 y) (.f64 x x))) 1)
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (/.f64 1 (/.f64 y (.f64 x x))))
(.f64 1/3 (.f64 (*.f64 x x) (/.f64 1 y)))
(.f64 (.f64 x x) (*.f64 1/3 (/.f64 1 y)))
(.f64 (.f64 1/3 (*.f64 x x)) (/.f64 1 y))
(.f64 (.f64 (/.f64 1/3 y) (*.f64 x x)) 1)
(.f64 1 (.f64 (/.f64 1/3 y) (*.f64 x x)))
(.f64 (cbrt.f64 (.f64 1/9 (pow.f64 x 4))) (.f64 (cbrt.f64 (.f64 1/3 (*.f64 x x))) (/.f64 1 y)))
(.f64 (cbrt.f64 (.f64 (/.f64 1/3 y) (.f64 x x))) (pow.f64 (cbrt.f64 (.f64 (/.f64 1/3 y) (*.f64 x x))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/3 y) (.f64 x x))) 2) (cbrt.f64 (.f64 (/.f64 1/3 y) (*.f64 x x))))
(.f64 (.f64 x (sqrt.f64 1/3)) (.f64 (.f64 x (sqrt.f64 1/3)) (/.f64 1 y)))
(.f64 (/.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 y)) (/.f64 (*.f64 x (sqrt.f64 1/3)) (sqrt.f64 y)))
(.f64 (.f64 (*.f64 x x) -1/3) (/.f64 1 (neg.f64 y)))
(.f64 (/.f64 1 y) (.f64 1/3 (*.f64 x x)))
(.f64 (.f64 1/3 x) (*.f64 x (/.f64 1 y)))
(.f64 (/.f64 (.f64 x x) 1) (/.f64 1/3 y))
(.f64 (/.f64 1/3 y) (.f64 x x))
(.f64 (/.f64 (cbrt.f64 (.f64 1/9 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (.f64 1/3 (.f64 x x))) y))
(.f64 (/.f64 (.f64 x (sqrt.f64 1/3)) 1) (/.f64 (*.f64 x (sqrt.f64 1/3)) y))
(.f64 (/.f64 (.f64 1/3 x) 1) (/.f64 x y))
(.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (.f64 x x) (cbrt.f64 y)))
(.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (.f64 1/3 (*.f64 x x)) (cbrt.f64 y)))
(.f64 (/.f64 (cbrt.f64 (.f64 1/9 (pow.f64 x 4))) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (.f64 (/.f64 1/3 y) (.f64 x x))))
(.f64 (/.f64 (.f64 x (sqrt.f64 1/3)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x (sqrt.f64 1/3)) (cbrt.f64 y)))
(.f64 (/.f64 (.f64 1/3 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(.f64 (/.f64 1/3 (sqrt.f64 y)) (/.f64 (.f64 x x) (sqrt.f64 y)))
(.f64 (/.f64 (.f64 x x) (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)))
(.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (.f64 1/3 (*.f64 x x)) (sqrt.f64 y)))
(.f64 (/.f64 (cbrt.f64 (.f64 1/9 (pow.f64 x 4))) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 1/3 (.f64 x x))) (sqrt.f64 y)))
(.f64 (/.f64 (.f64 1/3 x) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(pow.f64 (.f64 (/.f64 1/3 y) (.f64 x x)) 1)
(pow.f64 (pow.f64 (.f64 (/.f64 1/3 y) (.f64 x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (/.f64 1/3 y) (.f64 x x))) 3)
(pow.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) (sqrt.f64 y)) 2)
(pow.f64 (/.f64 y (.f64 1/3 (.f64 x x))) -1)
(neg.f64 (/.f64 (.f64 1/3 (.f64 x x)) (neg.f64 y)))
(sqrt.f64 (/.f64 (.f64 1/9 (pow.f64 x 4)) (.f64 y y)))
(log.f64 (exp.f64 (.f64 (/.f64 1/3 y) (.f64 x x))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 1/3 y) (.f64 x x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 1/3 y) (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 1/3 y) (.f64 x x))))
(exp.f64 (log.f64 (.f64 (/.f64 1/3 y) (.f64 x x))))
(-.f64 (+.f64 1 (.f64 1/3 (.f64 x x))) 1)
(pow.f64 (.f64 1/3 (.f64 x x)) 1)
(pow.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 1/3 (.f64 x x))) 3)
(pow.f64 (*.f64 x (sqrt.f64 1/3)) 2)
(sqrt.f64 (*.f64 1/9 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 1/3 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 1/3 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/3 (.f64 x x))))

Outputs
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(-.f64 (+.f64 1 (.f64 (/.f64 1/3 y) (.f64 x x))) 1)
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 1/3 (/.f64 1 (/.f64 y (.f64 x x))))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 1/3 (.f64 (*.f64 x x) (/.f64 1 y)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (.f64 x x) (*.f64 1/3 (/.f64 1 y)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (.f64 1/3 (*.f64 x x)) (/.f64 1 y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (.f64 (/.f64 1/3 y) (*.f64 x x)) 1)
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 1 (.f64 (/.f64 1/3 y) (*.f64 x x)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (cbrt.f64 (.f64 1/9 (pow.f64 x 4))) (.f64 (cbrt.f64 (.f64 1/3 (*.f64 x x))) (/.f64 1 y)))
(.f64 (cbrt.f64 (.f64 1/9 (pow.f64 x 4))) (.f64 (/.f64 1 y) (cbrt.f64 (.f64 1/3 (*.f64 x x)))))
(.f64 (cbrt.f64 (.f64 1/9 (pow.f64 x 4))) (/.f64 (cbrt.f64 (.f64 1/3 (.f64 x x))) y))
(.f64 (cbrt.f64 (.f64 (/.f64 1/3 y) (.f64 x x))) (pow.f64 (cbrt.f64 (.f64 (/.f64 1/3 y) (*.f64 x x))) 2))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/3 y) (.f64 x x))) 2) (cbrt.f64 (.f64 (/.f64 1/3 y) (*.f64 x x))))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (.f64 x (sqrt.f64 1/3)) (.f64 (.f64 x (sqrt.f64 1/3)) (/.f64 1 y)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (/.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 y)) (/.f64 (*.f64 x (sqrt.f64 1/3)) (sqrt.f64 y)))
(pow.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 1/3))) 2)
(pow.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/3)) 2)
(pow.f64 (*.f64 (sqrt.f64 1/3) (/.f64 x (sqrt.f64 y))) 2)
(.f64 (.f64 (*.f64 x x) -1/3) (/.f64 1 (neg.f64 y)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (/.f64 1 y) (.f64 1/3 (*.f64 x x)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (.f64 1/3 x) (*.f64 x (/.f64 1 y)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (/.f64 (.f64 x x) 1) (/.f64 1/3 y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (/.f64 1/3 y) (.f64 x x))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (/.f64 (cbrt.f64 (.f64 1/9 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (.f64 1/3 (.f64 x x))) y))
(.f64 (cbrt.f64 (.f64 1/9 (pow.f64 x 4))) (.f64 (/.f64 1 y) (cbrt.f64 (.f64 1/3 (*.f64 x x)))))
(.f64 (cbrt.f64 (.f64 1/9 (pow.f64 x 4))) (/.f64 (cbrt.f64 (.f64 1/3 (.f64 x x))) y))
(.f64 (/.f64 (.f64 x (sqrt.f64 1/3)) 1) (/.f64 (*.f64 x (sqrt.f64 1/3)) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (/.f64 (.f64 1/3 x) 1) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (.f64 x x) (cbrt.f64 y)))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (/.f64 (cbrt.f64 y) x)))
(.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 y) 2)) (.f64 x (/.f64 x (cbrt.f64 y))))
(.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (/.f64 (cbrt.f64 y) x)))
(.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 y) 2)) (.f64 x (/.f64 x (cbrt.f64 y))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (.f64 1/3 (*.f64 x x)) (cbrt.f64 y)))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (/.f64 (cbrt.f64 y) x)))
(.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 y) 2)) (.f64 x (/.f64 x (cbrt.f64 y))))
(.f64 (/.f64 (cbrt.f64 (.f64 1/9 (pow.f64 x 4))) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (.f64 (/.f64 1/3 y) (.f64 x x))))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 (.f64 x x) y))) (/.f64 (cbrt.f64 (.f64 1/9 (pow.f64 x 4))) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (cbrt.f64 (.f64 1/9 (pow.f64 x 4))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (.f64 1/3 (*.f64 x (/.f64 x y))))))
(.f64 (/.f64 (.f64 x (sqrt.f64 1/3)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x (sqrt.f64 1/3)) (cbrt.f64 y)))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (/.f64 (cbrt.f64 y) x)))
(.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 y) 2)) (.f64 x (/.f64 x (cbrt.f64 y))))
(.f64 (/.f64 (.f64 1/3 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (/.f64 (cbrt.f64 y) x)))
(.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 y) 2)) (.f64 x (/.f64 x (cbrt.f64 y))))
(.f64 (/.f64 1/3 (sqrt.f64 y)) (/.f64 (.f64 x x) (sqrt.f64 y)))
(pow.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 1/3))) 2)
(pow.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/3)) 2)
(pow.f64 (*.f64 (sqrt.f64 1/3) (/.f64 x (sqrt.f64 y))) 2)
(.f64 (/.f64 (.f64 x x) (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)))
(pow.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 1/3))) 2)
(pow.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/3)) 2)
(pow.f64 (*.f64 (sqrt.f64 1/3) (/.f64 x (sqrt.f64 y))) 2)
(.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (.f64 1/3 (*.f64 x x)) (sqrt.f64 y)))
(pow.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 1/3))) 2)
(pow.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/3)) 2)
(pow.f64 (*.f64 (sqrt.f64 1/3) (/.f64 x (sqrt.f64 y))) 2)
(.f64 (/.f64 (cbrt.f64 (.f64 1/9 (pow.f64 x 4))) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 1/3 (.f64 x x))) (sqrt.f64 y)))
(.f64 (/.f64 (.f64 1/3 x) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(pow.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 1/3))) 2)
(pow.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/3)) 2)
(pow.f64 (*.f64 (sqrt.f64 1/3) (/.f64 x (sqrt.f64 y))) 2)
(pow.f64 (.f64 (/.f64 1/3 y) (.f64 x x)) 1)
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(pow.f64 (pow.f64 (.f64 (/.f64 1/3 y) (.f64 x x)) 3) 1/3)
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(pow.f64 (cbrt.f64 (.f64 (/.f64 1/3 y) (.f64 x x))) 3)
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(pow.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) (sqrt.f64 y)) 2)
(pow.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 1/3))) 2)
(pow.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/3)) 2)
(pow.f64 (*.f64 (sqrt.f64 1/3) (/.f64 x (sqrt.f64 y))) 2)
(pow.f64 (/.f64 y (.f64 1/3 (.f64 x x))) -1)
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(neg.f64 (/.f64 (.f64 1/3 (.f64 x x)) (neg.f64 y)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(sqrt.f64 (/.f64 (.f64 1/9 (pow.f64 x 4)) (.f64 y y)))
(sqrt.f64 (*.f64 (/.f64 1/9 y) (/.f64 (pow.f64 x 4) y)))
(sqrt.f64 (pow.f64 (.f64 1/3 (.f64 x (/.f64 x y))) 2))
(log.f64 (exp.f64 (.f64 (/.f64 1/3 y) (.f64 x x))))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 1/3 y) (.f64 x x)) 3))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 3) (pow.f64 y 3)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 1/3 y) (.f64 x x))))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 1/3 y) (.f64 x x))))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(exp.f64 (log.f64 (.f64 (/.f64 1/3 y) (.f64 x x))))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(-.f64 (+.f64 1 (.f64 1/3 (.f64 x x))) 1)
(.f64 1/3 (.f64 x x))
(pow.f64 (.f64 1/3 (.f64 x x)) 1)
(.f64 1/3 (.f64 x x))
(pow.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 3) 1/3)
(.f64 1/3 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 1/3 (.f64 x x))) 3)
(.f64 1/3 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 1/3)) 2)
(.f64 1/3 (.f64 x x))
(sqrt.f64 (*.f64 1/9 (pow.f64 x 4)))
(fabs.f64 (.f64 1/3 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 x x)))
(.f64 1/3 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 3))
(.f64 1/3 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 1/3 (.f64 x x))))
(.f64 1/3 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 1/3 (.f64 x x))))
(.f64 1/3 (.f64 x x))
(exp.f64 (log.f64 (.f64 1/3 (.f64 x x))))
(.f64 1/3 (.f64 x x))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 1 x) (/.f64 (.f64 x -1/3) y))
✓	0.2b	(/.f64 (*.f64 x -1/3) y)
✓	0.3b	(*.f64 x -1/3)

Compiler

Compiled 26 to 17 computations (34.6% saved)

series34.0ms (0.5%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
27.0ms	y	@	-inf	(.f64 (-.f64 1 x) (/.f64 (.f64 x -1/3) y))
1.0ms	y	@	0	(.f64 (-.f64 1 x) (/.f64 (.f64 x -1/3) y))
1.0ms	y	@	inf	(.f64 (-.f64 1 x) (/.f64 (.f64 x -1/3) y))
1.0ms	x	@	inf	(/.f64 (*.f64 x -1/3) y)
1.0ms	y	@	inf	(/.f64 (*.f64 x -1/3) y)

rewrite66.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`log-prod_binary64`
375×	`exp-prod_binary64`
339×	`pow-prod-down_binary64`
251×	`pow2_binary64`
176×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	193	24
2	2628	24

Stop Event

1×	node limit

Counts

3 → 199

Calls

Call 1

Inputs
(*.f64 x -1/3)
(/.f64 (*.f64 x -1/3) y)
(.f64 (-.f64 1 x) (/.f64 (.f64 x -1/3) y))

Outputs

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

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

simplify165.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

404×	`log-prod_binary64`
310×	`associate-/l*_binary64`
290×	`div-sub_binary64`
271×	`associate-r_binary64`
253×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	424	3709
1	1122	3219
2	4688	3193

Stop Event

1×	node limit

Counts

259 → 256

Calls

Call 1

Inputs
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 -1/3 (/.f64 x y))
(+.f64 (.f64 -1/3 (/.f64 x y)) (.f64 1/3 (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 -1/3 (/.f64 x y)) (.f64 1/3 (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 -1/3 (/.f64 x y)) (.f64 1/3 (/.f64 (pow.f64 x 2) y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 -1/3 (/.f64 x y)) (.f64 1/3 (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 -1/3 (/.f64 x y)) (.f64 1/3 (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 -1/3 (/.f64 x y)) (.f64 1/3 (/.f64 (pow.f64 x 2) y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 -1/3 (/.f64 x y)) (.f64 1/3 (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 -1/3 (/.f64 x y)) (.f64 1/3 (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 -1/3 (/.f64 x y)) (.f64 1/3 (/.f64 (pow.f64 x 2) y)))
(.f64 -1/3 (/.f64 (.f64 (-.f64 1 x) x) y))
(.f64 -1/3 (/.f64 (.f64 (-.f64 1 x) x) y))
(.f64 -1/3 (/.f64 (.f64 (-.f64 1 x) x) y))
(.f64 -1/3 (/.f64 (.f64 (-.f64 1 x) x) y))
(.f64 -1/3 (/.f64 (.f64 (-.f64 1 x) x) y))
(.f64 -1/3 (/.f64 (.f64 (-.f64 1 x) x) y))
(.f64 -1/3 (/.f64 (.f64 (-.f64 1 x) x) y))
(.f64 -1/3 (/.f64 (.f64 (-.f64 1 x) x) y))
(.f64 -1/3 (/.f64 (.f64 (-.f64 1 x) x) y))
(.f64 -1/3 (/.f64 (.f64 (-.f64 1 x) x) y))
(.f64 -1/3 (/.f64 (.f64 (-.f64 1 x) x) y))
(.f64 -1/3 (/.f64 (.f64 (-.f64 1 x) x) y))
(+.f64 0 (*.f64 x -1/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/3))) 1)
(pow.f64 (*.f64 x -1/3) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 x -1/3)))
(pow.f64 (.f64 (.f64 x x) 1/9) 1/2)
(pow.f64 (pow.f64 (*.f64 x -1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x -1/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x -1/3))) 2)) (cbrt.f64 (log.f64 (.f64 x -1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x -1/3)))) (sqrt.f64 (log.f64 (.f64 x -1/3))))
(sqrt.f64 (.f64 (.f64 x x) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/3))))
(cbrt.f64 (pow.f64 (*.f64 x -1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x -1/3)))
(log1p.f64 (expm1.f64 (*.f64 x -1/3)))
(exp.f64 (log.f64 (*.f64 x -1/3)))
(exp.f64 (.f64 (log.f64 (.f64 x -1/3)) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x -1/3) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x -1/3))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x -1/3))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x -1/3)) 1) 1))
(+.f64 0 (*.f64 -1/3 (/.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (/.f64 x y)))) 1)
(.f64 x (/.f64 1 (.f64 y -3)))
(.f64 x (.f64 -1/3 (pow.f64 y -1)))
(*.f64 -1/3 (/.f64 x y))
(.f64 -1/3 (.f64 x (pow.f64 y -1)))
(.f64 (.f64 x -1/3) (pow.f64 y -1))
(.f64 (.f64 -1/3 (/.f64 x y)) 1)
(.f64 1 (.f64 -1/3 (/.f64 x y)))
(.f64 (cbrt.f64 (.f64 -1/3 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 -1/3 (/.f64 x y))) 2) (cbrt.f64 (*.f64 -1/3 (/.f64 x y))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) (.f64 (cbrt.f64 (.f64 x -1/3)) (pow.f64 y -1)))
(.f64 (sqrt.f64 (.f64 -1/3 (/.f64 x y))) (sqrt.f64 (*.f64 -1/3 (/.f64 x y))))
(.f64 (sqrt.f64 (.f64 x -1/3)) (.f64 (sqrt.f64 (.f64 x -1/3)) (pow.f64 y -1)))
(.f64 (.f64 x 1/3) (/.f64 1 (neg.f64 y)))
(.f64 (pow.f64 y -1) (.f64 x -1/3))
(*.f64 (/.f64 x 1) (/.f64 -1/3 y))
(*.f64 (/.f64 x y) -1/3)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x -1/3)) y))
(.f64 (/.f64 (sqrt.f64 (.f64 x -1/3)) 1) (/.f64 (sqrt.f64 (*.f64 x -1/3)) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 -1/3 (cbrt.f64 y)))
(*.f64 (/.f64 -1/3 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (.f64 x -1/3) (cbrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 -1/3 (/.f64 x y))))
(.f64 (/.f64 (sqrt.f64 (.f64 x -1/3)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 x -1/3)) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)))
(*.f64 (/.f64 -1/3 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(.f64 (pow.f64 y -1/2) (/.f64 (.f64 x -1/3) (sqrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x -1/3)) (sqrt.f64 y)))
(pow.f64 (*.f64 -1/3 (/.f64 x y)) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 -1/3 (/.f64 x y))))
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 x y))) 3)
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 x y))) 2)
(pow.f64 (/.f64 y (*.f64 x -1/3)) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 x -1/3) 3) (pow.f64 y 3)) 1/3)
(pow.f64 (/.f64 (/.f64 y (*.f64 x -1/3)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 -1/3 (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (.f64 -1/3 (/.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -1/3 (/.f64 x y))))) (sqrt.f64 (log.f64 (.f64 -1/3 (/.f64 x y)))))
(neg.f64 (/.f64 (*.f64 x -1/3) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 -1/3) (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x -1/3) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 -1/3 (/.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 -1/3 (/.f64 x y))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 -1/3 (/.f64 x y)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/3 (/.f64 x y)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -1/3 (/.f64 x y)))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 x -1/3))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1/3 (/.f64 x y))) 1) 1))
(exp.f64 (-.f64 (.f64 (log.f64 x) 1) (log.f64 (.f64 y -3))))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 x -1/3)) 1) (log.f64 y)))
(exp.f64 (-.f64 (log.f64 (.f64 x -1/3)) (.f64 (log.f64 y) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 x -1/3)) 1) (*.f64 (log.f64 y) 1)))
(+.f64 (.f64 -1/3 (/.f64 x y)) (.f64 (neg.f64 x) (*.f64 -1/3 (/.f64 x y))))
(+.f64 (.f64 -1/3 (/.f64 x y)) (.f64 (*.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(+.f64 0 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/3) (/.f64 x y)) (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/3) (/.f64 x y)) (-.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/3) (/.f64 x y)) (-.f64 1 x)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/3) (/.f64 x y)) (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 x)))) 1)
(/.f64 1 (/.f64 y (.f64 (.f64 x -1/3) (-.f64 1 x))))
(/.f64 (-.f64 1 x) (/.f64 y (*.f64 x -1/3)))
(/.f64 (-.f64 1 (pow.f64 x 3)) (.f64 (/.f64 y (.f64 x -1/3)) (fma.f64 x (+.f64 x 1) 1)))
(/.f64 (-.f64 1 (.f64 x x)) (.f64 (/.f64 y (*.f64 x -1/3)) (+.f64 x 1)))
(/.f64 (.f64 (.f64 x -1/3) (-.f64 1 x)) y)
(/.f64 (neg.f64 (.f64 (.f64 x -1/3) (-.f64 1 x))) (neg.f64 y))
(/.f64 (.f64 x (-.f64 1 (pow.f64 x 3))) (.f64 (*.f64 y -3) (fma.f64 x (+.f64 x 1) 1)))
(/.f64 (.f64 (.f64 x -1/3) (-.f64 1 (pow.f64 x 3))) (*.f64 y (fma.f64 x (+.f64 x 1) 1)))
(/.f64 (.f64 (.f64 x 1/3) (-.f64 1 (pow.f64 x 3))) (*.f64 (neg.f64 y) (fma.f64 x (+.f64 x 1) 1)))
(/.f64 (.f64 x (-.f64 1 (.f64 x x))) (.f64 (.f64 y -3) (+.f64 x 1)))
(/.f64 (.f64 (.f64 x -1/3) (-.f64 1 (.f64 x x))) (.f64 y (+.f64 x 1)))
(/.f64 (.f64 (.f64 x 1/3) (-.f64 1 (.f64 x x))) (.f64 (neg.f64 y) (+.f64 x 1)))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) x) (.f64 (fma.f64 x (+.f64 x 1) 1) (*.f64 y -3)))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) x) (.f64 (+.f64 x 1) (.f64 y -3)))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) (.f64 x -1/3)) (*.f64 (fma.f64 x (+.f64 x 1) 1) y))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (.f64 x -1/3)) (.f64 (+.f64 x 1) y))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) 1) (.f64 (fma.f64 x (+.f64 x 1) 1) (/.f64 y (*.f64 x -1/3))))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) 1) (.f64 (+.f64 x 1) (/.f64 y (.f64 x -1/3))))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) (.f64 x 1/3)) (*.f64 (fma.f64 x (+.f64 x 1) 1) (neg.f64 y)))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (.f64 x 1/3)) (.f64 (+.f64 x 1) (neg.f64 y)))
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(/.f64 (/.f64 (.f64 (.f64 x -1/3) (-.f64 1 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (.f64 (.f64 x -1/3) (-.f64 1 x)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (.f64 x (-.f64 1 x)) (.f64 y -3))
(/.f64 (.f64 (.f64 x 1/3) (-.f64 1 x)) (neg.f64 y))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) (.f64 -1/3 (/.f64 x y))) (fma.f64 x (+.f64 x 1) 1))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (*.f64 -1/3 (/.f64 x y))) (+.f64 x 1))
(/.f64 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(/.f64 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (.f64 (-.f64 1 x) x) (.f64 y -3))
(/.f64 (.f64 (-.f64 1 x) (.f64 x 1/3)) (neg.f64 y))
(pow.f64 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 x))))
(pow.f64 (pow.f64 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 x))) 2)
(pow.f64 (/.f64 y (.f64 (.f64 x -1/3) (-.f64 1 x))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 x))))) (sqrt.f64 (log.f64 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/3) (/.f64 x y)) (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 x))))
(log1p.f64 (expm1.f64 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 x))))
(exp.f64 (log.f64 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 x))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 -1/3 (/.f64 x y)) (-.f64 1 x))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 x)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 -1/3 (/.f64 x y)) (-.f64 1 x)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 -1/3 (/.f64 x y)) (-.f64 1 x)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 -1/3 (/.f64 x y)) (-.f64 1 x))) 1) 1))
(exp.f64 (-.f64 (.f64 (log1p.f64 (neg.f64 x)) 1) (log.f64 (/.f64 y (.f64 x -1/3)))))
(exp.f64 (-.f64 (log.f64 (.f64 (.f64 x -1/3) (-.f64 1 x))) (*.f64 (log.f64 y) 1)))
(fma.f64 x (/.f64 1 (.f64 y -3)) (.f64 (neg.f64 x) (*.f64 -1/3 (/.f64 x y))))
(fma.f64 x (/.f64 1 (.f64 y -3)) (.f64 (*.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 x (.f64 -1/3 (pow.f64 y -1)) (.f64 (neg.f64 x) (*.f64 -1/3 (/.f64 x y))))
(fma.f64 x (.f64 -1/3 (pow.f64 y -1)) (.f64 (*.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 -1/3 (/.f64 x y) (.f64 (neg.f64 x) (.f64 -1/3 (/.f64 x y))))
(fma.f64 -1/3 (/.f64 x y) (.f64 (.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 -1/3 (.f64 x (pow.f64 y -1)) (.f64 (neg.f64 x) (*.f64 -1/3 (/.f64 x y))))
(fma.f64 -1/3 (.f64 x (pow.f64 y -1)) (.f64 (*.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (.f64 x -1/3) (pow.f64 y -1) (.f64 (neg.f64 x) (*.f64 -1/3 (/.f64 x y))))
(fma.f64 (.f64 x -1/3) (pow.f64 y -1) (.f64 (*.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (.f64 -1/3 (/.f64 x y)) 1 (.f64 (neg.f64 x) (*.f64 -1/3 (/.f64 x y))))
(fma.f64 (.f64 -1/3 (/.f64 x y)) 1 (.f64 (*.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 1 (.f64 -1/3 (/.f64 x y)) (.f64 (neg.f64 x) (*.f64 -1/3 (/.f64 x y))))
(fma.f64 1 (.f64 -1/3 (/.f64 x y)) (.f64 (*.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (cbrt.f64 (.f64 -1/3 (/.f64 x y))) (pow.f64 (cbrt.f64 (.f64 -1/3 (/.f64 x y))) 2) (.f64 (neg.f64 x) (.f64 -1/3 (/.f64 x y))))
(fma.f64 (cbrt.f64 (.f64 -1/3 (/.f64 x y))) (pow.f64 (cbrt.f64 (.f64 -1/3 (/.f64 x y))) 2) (.f64 (.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/3 (/.f64 x y))) 2) (cbrt.f64 (.f64 -1/3 (/.f64 x y))) (.f64 (neg.f64 x) (.f64 -1/3 (/.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/3 (/.f64 x y))) 2) (cbrt.f64 (.f64 -1/3 (/.f64 x y))) (.f64 (.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) (.f64 (cbrt.f64 (.f64 x -1/3)) (pow.f64 y -1)) (.f64 (neg.f64 x) (*.f64 -1/3 (/.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) (.f64 (cbrt.f64 (.f64 x -1/3)) (pow.f64 y -1)) (.f64 (*.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (sqrt.f64 (.f64 -1/3 (/.f64 x y))) (sqrt.f64 (.f64 -1/3 (/.f64 x y))) (.f64 (neg.f64 x) (.f64 -1/3 (/.f64 x y))))
(fma.f64 (sqrt.f64 (.f64 -1/3 (/.f64 x y))) (sqrt.f64 (.f64 -1/3 (/.f64 x y))) (.f64 (.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (sqrt.f64 (.f64 x -1/3)) (.f64 (sqrt.f64 (.f64 x -1/3)) (pow.f64 y -1)) (.f64 (neg.f64 x) (*.f64 -1/3 (/.f64 x y))))
(fma.f64 (sqrt.f64 (.f64 x -1/3)) (.f64 (sqrt.f64 (.f64 x -1/3)) (pow.f64 y -1)) (.f64 (*.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (.f64 x 1/3) (/.f64 1 (neg.f64 y)) (.f64 (neg.f64 x) (*.f64 -1/3 (/.f64 x y))))
(fma.f64 (.f64 x 1/3) (/.f64 1 (neg.f64 y)) (.f64 (*.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (pow.f64 y -1) (.f64 x -1/3) (.f64 (neg.f64 x) (*.f64 -1/3 (/.f64 x y))))
(fma.f64 (pow.f64 y -1) (.f64 x -1/3) (.f64 (*.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (/.f64 x 1) (/.f64 -1/3 y) (.f64 (neg.f64 x) (.f64 -1/3 (/.f64 x y))))
(fma.f64 (/.f64 x 1) (/.f64 -1/3 y) (.f64 (.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (/.f64 x y) -1/3 (.f64 (neg.f64 x) (.f64 -1/3 (/.f64 x y))))
(fma.f64 (/.f64 x y) -1/3 (.f64 (.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) 1) (/.f64 (cbrt.f64 (.f64 x -1/3)) y) (.f64 (neg.f64 x) (.f64 -1/3 (/.f64 x y))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) 1) (/.f64 (cbrt.f64 (.f64 x -1/3)) y) (.f64 (.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
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(fma.f64 (/.f64 (sqrt.f64 (.f64 x -1/3)) 1) (/.f64 (sqrt.f64 (.f64 x -1/3)) y) (.f64 (.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 -1/3 (cbrt.f64 y)) (.f64 (neg.f64 x) (.f64 -1/3 (/.f64 x y))))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 -1/3 (cbrt.f64 y)) (.f64 (.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
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(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (.f64 x -1/3) (cbrt.f64 y)) (.f64 (*.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (.f64 -1/3 (/.f64 x y))) (.f64 (neg.f64 x) (.f64 -1/3 (/.f64 x y))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (.f64 -1/3 (/.f64 x y))) (.f64 (.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
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(fma.f64 (/.f64 (sqrt.f64 (.f64 x -1/3)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (.f64 x -1/3)) (cbrt.f64 y)) (.f64 (.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (.f64 (neg.f64 x) (.f64 -1/3 (/.f64 x y))))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (.f64 (.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (/.f64 -1/3 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (.f64 (neg.f64 x) (.f64 -1/3 (/.f64 x y))))
(fma.f64 (/.f64 -1/3 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (.f64 (.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (pow.f64 y -1/2) (/.f64 (.f64 x -1/3) (sqrt.f64 y)) (.f64 (neg.f64 x) (*.f64 -1/3 (/.f64 x y))))
(fma.f64 (pow.f64 y -1/2) (/.f64 (.f64 x -1/3) (sqrt.f64 y)) (.f64 (*.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 x -1/3)) (sqrt.f64 y)) (.f64 (neg.f64 x) (.f64 -1/3 (/.f64 x y))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 x -1/3)) (sqrt.f64 y)) (.f64 (.f64 -1/3 (/.f64 x y)) (neg.f64 x)))

Outputs
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(+.f64 (.f64 -1/3 (/.f64 x y)) (.f64 1/3 (/.f64 (pow.f64 x 2) y)))
(fma.f64 -1/3 (/.f64 x y) (.f64 1/3 (/.f64 (.f64 x x) y)))
(.f64 x (.f64 (/.f64 -1/3 y) (-.f64 1 x)))
(.f64 (/.f64 x y) (+.f64 -1/3 (.f64 x 1/3)))
(+.f64 (.f64 -1/3 (/.f64 x y)) (.f64 1/3 (/.f64 (pow.f64 x 2) y)))
(fma.f64 -1/3 (/.f64 x y) (.f64 1/3 (/.f64 (.f64 x x) y)))
(.f64 x (.f64 (/.f64 -1/3 y) (-.f64 1 x)))
(.f64 (/.f64 x y) (+.f64 -1/3 (.f64 x 1/3)))
(+.f64 (.f64 -1/3 (/.f64 x y)) (.f64 1/3 (/.f64 (pow.f64 x 2) y)))
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(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (.f64 -1/3 (/.f64 x y))) (.f64 (.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -1/3 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (.f64 x (/.f64 -1/3 y))) (.f64 (.f64 x (/.f64 -1/3 y)) (neg.f64 x)))
(fma.f64 (cbrt.f64 (.f64 x (/.f64 -1/3 y))) (/.f64 (pow.f64 (cbrt.f64 (.f64 -1/3 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 (cbrt.f64 (.f64 x (/.f64 -1/3 y))) (/.f64 (pow.f64 (cbrt.f64 (.f64 -1/3 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (.f64 (.f64 x 1/3) x) y))
(fma.f64 (/.f64 (sqrt.f64 (.f64 x -1/3)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (.f64 x -1/3)) (cbrt.f64 y)) (.f64 (neg.f64 x) (.f64 -1/3 (/.f64 x y))))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 -1/3 (cbrt.f64 y)) (.f64 (.f64 x (/.f64 -1/3 y)) (neg.f64 x)))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 -1/3 (cbrt.f64 y)) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 -1/3 (cbrt.f64 y)) (/.f64 (.f64 (.f64 x 1/3) x) y))
(fma.f64 (/.f64 (sqrt.f64 (.f64 x -1/3)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (.f64 x -1/3)) (cbrt.f64 y)) (.f64 (.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 -1/3 (cbrt.f64 y)) (.f64 (.f64 x (/.f64 -1/3 y)) (neg.f64 x)))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 -1/3 (cbrt.f64 y)) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 -1/3 (cbrt.f64 y)) (/.f64 (.f64 (.f64 x 1/3) x) y))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (.f64 (neg.f64 x) (.f64 -1/3 (/.f64 x y))))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (.f64 (.f64 x (/.f64 -1/3 y)) (neg.f64 x)))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (/.f64 (.f64 (.f64 x 1/3) x) y))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (.f64 (.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (.f64 (.f64 x (/.f64 -1/3 y)) (neg.f64 x)))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (/.f64 (.f64 (.f64 x 1/3) x) y))
(fma.f64 (/.f64 -1/3 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (.f64 (neg.f64 x) (.f64 -1/3 (/.f64 x y))))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (.f64 (.f64 x (/.f64 -1/3 y)) (neg.f64 x)))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (/.f64 (.f64 (.f64 x 1/3) x) y))
(fma.f64 (/.f64 -1/3 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (.f64 (.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (.f64 (.f64 x (/.f64 -1/3 y)) (neg.f64 x)))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (/.f64 (.f64 (.f64 x 1/3) x) y))
(fma.f64 (pow.f64 y -1/2) (/.f64 (.f64 x -1/3) (sqrt.f64 y)) (.f64 (neg.f64 x) (*.f64 -1/3 (/.f64 x y))))
(fma.f64 (pow.f64 y -1/2) (/.f64 x (/.f64 (sqrt.f64 y) -1/3)) (.f64 (.f64 x (/.f64 -1/3 y)) (neg.f64 x)))
(fma.f64 (pow.f64 y -1/2) (/.f64 x (/.f64 (sqrt.f64 y) -1/3)) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 (pow.f64 y -1/2) (.f64 x (/.f64 -1/3 (sqrt.f64 y))) (/.f64 (.f64 (*.f64 x 1/3) x) y))
(fma.f64 (pow.f64 y -1/2) (/.f64 (.f64 x -1/3) (sqrt.f64 y)) (.f64 (*.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (pow.f64 y -1/2) (/.f64 x (/.f64 (sqrt.f64 y) -1/3)) (.f64 (.f64 x (/.f64 -1/3 y)) (neg.f64 x)))
(fma.f64 (pow.f64 y -1/2) (/.f64 x (/.f64 (sqrt.f64 y) -1/3)) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 (pow.f64 y -1/2) (.f64 x (/.f64 -1/3 (sqrt.f64 y))) (/.f64 (.f64 (*.f64 x 1/3) x) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 x -1/3)) (sqrt.f64 y)) (.f64 (neg.f64 x) (.f64 -1/3 (/.f64 x y))))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (.f64 (.f64 x (/.f64 -1/3 y)) (neg.f64 x)))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (/.f64 (.f64 (.f64 x 1/3) x) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 x -1/3)) (sqrt.f64 y)) (.f64 (.f64 -1/3 (/.f64 x y)) (neg.f64 x)))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (.f64 (.f64 x (/.f64 -1/3 y)) (neg.f64 x)))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -1/3 (sqrt.f64 y)) (/.f64 (.f64 (.f64 x 1/3) x) y))

eval241.0ms (3.3%)

Compiler: Compiled 10660 to 6730 computations (36.9% saved)

prune175.0ms (2.4%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	638	5	643
Fresh	4	6	10
Picked	1	0	1
Done	1	4	5
Total	644	15	659

Error

Counts

659 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (/.f64 (-.f64 1 x) y) (/.f64 3 (-.f64 3 x)))
	21.0b	(/.f64 (/.f64 (-.f64 1 x) y) 1)
	47.7b	(/.f64 (.f64 x (+.f64 x -4)) (.f64 y 3))
	48.0b	(/.f64 (.f64 x x) (.f64 y 3))
▶	41.8b	(/.f64 (*.f64 x 1/3) (/.f64 y x))
✓	48.1b	(/.f64 (.f64 1/3 (.f64 x x)) y)
▶	21.0b	(/.f64 3 (*.f64 y 3))
✓	20.8b	(/.f64 1 y)
▶	20.6b	(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3))
	48.1b	(.f64 (/.f64 1/3 y) (.f64 x x))
✓	0.1b	(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))
▶	21.0b	(*.f64 (-.f64 1 x) (/.f64 1 y))
	41.8b	(.f64 x (.f64 (/.f64 x y) 1/3))
▶	41.8b	(.f64 x (.f64 x (/.f64 1/3 y)))
	41.8b	(*.f64 1/3 (/.f64 x (/.f64 y x)))

Compiler

Compiled 242 to 174 computations (28.1% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3))
✓	0.4b	(*.f64 (/.f64 x y) -4/3)

Compiler

Compiled 26 to 14 computations (46.2% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(*.f64 (/.f64 x y) -4/3)
1.0ms	x	@	inf	(*.f64 (/.f64 x y) -4/3)
0.0ms	x	@	inf	(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3))
0.0ms	x	@	0	(*.f64 (/.f64 x y) -4/3)
0.0ms	y	@	-inf	(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3))

rewrite134.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`prod-diff_binary64`
455×	`log-prod_binary64`
279×	`pow-prod-down_binary64`
254×	`fma-def_binary64`
246×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	195	18
2	2675	18

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

Inputs
(*.f64 (/.f64 x y) -4/3)
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x y) -4/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x y) -4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x y) -4/3)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x y) -4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) -4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4/3 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -4/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x -4/3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -4/3) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -4/3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -4/3) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) -4/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4/3 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) -4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 16/9 (pow.f64 (/.f64 y x) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) -4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) -4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -64/27 (pow.f64 (/.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x -4/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16/9 (pow.f64 (/.f64 y x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x y) -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -64/27 (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) -4/3)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 y -2) (/.f64 (-.f64 1 (*.f64 x -4/3)) y)) (/.f64 (*.f64 16/9 (pow.f64 (/.f64 y x) -2)) (/.f64 (-.f64 1 (*.f64 x -4/3)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))) 2) (cbrt.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))) (sqrt.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (/.f64 1 (fma.f64 (*.f64 (/.f64 x y) -4/3) (-.f64 (*.f64 (/.f64 x y) -4/3) (pow.f64 y -1)) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y -2) (*.f64 16/9 (pow.f64 (/.f64 y x) -2))) (/.f64 1 (/.f64 (-.f64 1 (*.f64 x -4/3)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (/.f64 x y) -4/3) (-.f64 (*.f64 (/.f64 x y) -4/3) (pow.f64 y -1)) (pow.f64 y -2)) (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 1 (*.f64 x -4/3)) y) (-.f64 (pow.f64 y -2) (*.f64 16/9 (pow.f64 (/.f64 y x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (fma.f64 (*.f64 (/.f64 x y) -4/3) (-.f64 (*.f64 (/.f64 x y) -4/3) (pow.f64 y -1)) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 y (*.f64 (neg.f64 y) (*.f64 x -4/3))) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 16/9 (pow.f64 (/.f64 y x) -2)) (pow.f64 y -2)) (-.f64 (*.f64 (/.f64 x y) -4/3) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 x y) -4/3) (-.f64 (*.f64 (/.f64 x y) -4/3) (pow.f64 y -1)) (pow.f64 y -2)) (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 x -4/3)) y) (-.f64 (pow.f64 y -2) (*.f64 16/9 (pow.f64 (/.f64 y x) -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) -4/3))) (exp.f64 (pow.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (/.f64 x y) -4/3)) (+.f64 1 (expm1.f64 (pow.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) -4/3))) (+.f64 1 (expm1.f64 (pow.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 y -1))) (exp.f64 (*.f64 (/.f64 x y) -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 y -1)) (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) -4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 y -1))) (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) -4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (pow.f64 y -1) -4/3) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) -4/3) 1 (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 x y) -4/3) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 y -1) (*.f64 (/.f64 x y) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1) 1 (*.f64 (/.f64 x y) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -1) (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 x y) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 y) -1) (*.f64 (/.f64 x y) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (/.f64 x y) -4/3)) (cbrt.f64 (*.f64 16/9 (pow.f64 (/.f64 y x) -2))) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 16/9 (pow.f64 (/.f64 y x) -2))) (cbrt.f64 (*.f64 (/.f64 x y) -4/3)) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 y x) -2)) (*.f64 (cbrt.f64 (/.f64 x y)) -4/3) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (*.f64 (/.f64 x y) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 x y) -4/3)) (sqrt.f64 (*.f64 (/.f64 x y) -4/3)) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) -4/3) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 y)) (*.f64 (/.f64 x y) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -4/3) (pow.f64 y -1) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (pow.f64 (cbrt.f64 y) -1) (*.f64 (/.f64 x y) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x 1) (/.f64 -4/3 y) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 -4/3 (cbrt.f64 y)) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -4/3 (sqrt.f64 y)) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4/3 (cbrt.f64 (pow.f64 (/.f64 y x) -2))) (cbrt.f64 (/.f64 x y)) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4/3 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (pow.f64 y -1))))))

simplify88.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

770×	`times-frac_binary64`
684×	`fma-def_binary64`
465×	`associate-/l*_binary64`
273×	`associate-/r*_binary64`
249×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	1739
1	544	1575
2	1669	1531

Stop Event

1×	node limit

Counts

141 → 130

Calls

Call 1

Inputs
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) 1) y))
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) 1) y))
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) 1) y))
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) 1) y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(*.f64 -4/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(*.f64 -4/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 0 (*.f64 (/.f64 x y) -4/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 x y) -4/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 x y) -4/3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 x y) -4/3)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 x y) -4/3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) -4/3))) 1)
(/.f64 x (/.f64 y -4/3))
(/.f64 -4/3 (/.f64 y x))
(/.f64 1 (/.f64 y (*.f64 x -4/3)))
(/.f64 (*.f64 x -4/3) y)
(/.f64 (neg.f64 (*.f64 x -4/3)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x -4/3) 1) y)
(/.f64 (/.f64 (*.f64 x -4/3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x -4/3) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (neg.f64 x) -4/3) (neg.f64 y))
(/.f64 (*.f64 -4/3 (neg.f64 x)) (neg.f64 y))
(pow.f64 (*.f64 (/.f64 x y) -4/3) 1)
(pow.f64 (*.f64 16/9 (pow.f64 (/.f64 y x) -2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) -4/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) -4/3)) 2)
(pow.f64 (*.f64 -64/27 (pow.f64 (/.f64 x y) 3)) 1/3)
(pow.f64 (/.f64 y (*.f64 x -4/3)) -1)
(sqrt.f64 (*.f64 16/9 (pow.f64 (/.f64 y x) -2)))
(log.f64 (exp.f64 (*.f64 (/.f64 x y) -4/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) -4/3))))
(cbrt.f64 (*.f64 -64/27 (pow.f64 (/.f64 x y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) -4/3)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) -4/3)))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) -4/3)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x y) -4/3)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)))) 1)
(-.f64 (/.f64 (pow.f64 y -2) (/.f64 (-.f64 1 (.f64 x -4/3)) y)) (/.f64 (.f64 16/9 (pow.f64 (/.f64 y x) -2)) (/.f64 (-.f64 1 (*.f64 x -4/3)) y)))
(*.f64 1 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)))
(*.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)) 1)
(*.f64 (cbrt.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))) 2) (cbrt.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))) (sqrt.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))))
(.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (/.f64 1 (fma.f64 (.f64 (/.f64 x y) -4/3) (-.f64 (*.f64 (/.f64 x y) -4/3) (pow.f64 y -1)) (pow.f64 y -2))))
(.f64 (-.f64 (pow.f64 y -2) (.f64 16/9 (pow.f64 (/.f64 y x) -2))) (/.f64 1 (/.f64 (-.f64 1 (*.f64 x -4/3)) y)))
(/.f64 1 (/.f64 (fma.f64 (.f64 (/.f64 x y) -4/3) (-.f64 (.f64 (/.f64 x y) -4/3) (pow.f64 y -1)) (pow.f64 y -2)) (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 1 (.f64 x -4/3)) y) (-.f64 (pow.f64 y -2) (.f64 16/9 (pow.f64 (/.f64 y x) -2)))))
(/.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (fma.f64 (.f64 (/.f64 x y) -4/3) (-.f64 (.f64 (/.f64 x y) -4/3) (pow.f64 y -1)) (pow.f64 y -2)))
(/.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (fma.f64 16/9 (pow.f64 (/.f64 y x) -2) (-.f64 (pow.f64 y -2) (/.f64 (*.f64 (/.f64 x y) -4/3) y))))
(/.f64 (-.f64 (pow.f64 y -2) (.f64 16/9 (pow.f64 (/.f64 y x) -2))) (/.f64 (-.f64 1 (.f64 x -4/3)) y))
(/.f64 (neg.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3))) (neg.f64 (fma.f64 (.f64 (/.f64 x y) -4/3) (-.f64 (.f64 (/.f64 x y) -4/3) (pow.f64 y -1)) (pow.f64 y -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y -2) (.f64 16/9 (pow.f64 (/.f64 y x) -2)))) (neg.f64 (/.f64 (-.f64 1 (.f64 x -4/3)) y)))
(/.f64 (fma.f64 (.f64 x -4/3) y y) (.f64 y y))
(/.f64 (fma.f64 (.f64 x -4/3) (neg.f64 y) (.f64 y -1)) (*.f64 y (neg.f64 y)))
(/.f64 (+.f64 y (.f64 y (.f64 x -4/3))) (*.f64 y y))
(/.f64 (fma.f64 -1 y (.f64 (neg.f64 y) (.f64 x -4/3))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (.f64 16/9 (pow.f64 (/.f64 y x) -2)) (pow.f64 y -2)) (-.f64 (.f64 (/.f64 x y) -4/3) (pow.f64 y -1)))
(pow.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)) 1)
(pow.f64 (pow.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 (/.f64 x y) -4/3) (-.f64 (.f64 (/.f64 x y) -4/3) (pow.f64 y -1)) (pow.f64 y -2)) (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3))) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 1 (.f64 x -4/3)) y) (-.f64 (pow.f64 y -2) (.f64 16/9 (pow.f64 (/.f64 y x) -2)))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 x y) -4/3))) (exp.f64 (pow.f64 y -1))))
(log.f64 (.f64 (exp.f64 (.f64 (/.f64 x y) -4/3)) (+.f64 1 (expm1.f64 (pow.f64 y -1)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 x y) -4/3))) (+.f64 1 (expm1.f64 (pow.f64 y -1)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 y -1))) (exp.f64 (.f64 (/.f64 x y) -4/3))))
(log.f64 (.f64 (exp.f64 (pow.f64 y -1)) (+.f64 1 (expm1.f64 (.f64 (/.f64 x y) -4/3)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 y -1))) (+.f64 1 (expm1.f64 (.f64 (/.f64 x y) -4/3)))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))))
(exp.f64 (log.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))) 1))
(fma.f64 x (*.f64 (pow.f64 y -1) -4/3) (pow.f64 y -1))
(fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))
(fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1))
(fma.f64 (*.f64 (/.f64 x y) -4/3) 1 (pow.f64 y -1))
(fma.f64 1 (*.f64 (/.f64 x y) -4/3) (pow.f64 y -1))
(fma.f64 1 (pow.f64 y -1) (*.f64 (/.f64 x y) -4/3))
(fma.f64 (pow.f64 y -1) 1 (*.f64 (/.f64 x y) -4/3))
(fma.f64 (pow.f64 (cbrt.f64 y) -1) (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 x y) -4/3))
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 y) -1) (*.f64 (/.f64 x y) -4/3))
(fma.f64 (cbrt.f64 (.f64 (/.f64 x y) -4/3)) (cbrt.f64 (.f64 16/9 (pow.f64 (/.f64 y x) -2))) (pow.f64 y -1))
(fma.f64 (cbrt.f64 (.f64 16/9 (pow.f64 (/.f64 y x) -2))) (cbrt.f64 (.f64 (/.f64 x y) -4/3)) (pow.f64 y -1))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 y x) -2)) (*.f64 (cbrt.f64 (/.f64 x y)) -4/3) (pow.f64 y -1))
(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (*.f64 (/.f64 x y) -4/3))
(fma.f64 (sqrt.f64 (.f64 (/.f64 x y) -4/3)) (sqrt.f64 (.f64 (/.f64 x y) -4/3)) (pow.f64 y -1))
(fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) -4/3) (pow.f64 y -1))
(fma.f64 -1 (/.f64 1 (neg.f64 y)) (*.f64 (/.f64 x y) -4/3))
(fma.f64 (*.f64 x -4/3) (pow.f64 y -1) (pow.f64 y -1))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (pow.f64 (cbrt.f64 y) -1) (*.f64 (/.f64 x y) -4/3))
(fma.f64 (/.f64 x 1) (/.f64 -4/3 y) (pow.f64 y -1))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 -4/3 (cbrt.f64 y)) (pow.f64 y -1))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -4/3 (sqrt.f64 y)) (pow.f64 y -1))
(fma.f64 (*.f64 -4/3 (cbrt.f64 (pow.f64 (/.f64 y x) -2))) (cbrt.f64 (/.f64 x y)) (pow.f64 y -1))
(fma.f64 (*.f64 -4/3 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (pow.f64 y -1))

Outputs
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
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(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
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(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
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(*.f64 x (/.f64 -4/3 y))
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(*.f64 x (/.f64 -4/3 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
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(/.f64 (fma.f64 -4/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
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(/.f64 (fma.f64 -4/3 x 1) y)
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(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) 1) y))
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(/.f64 (fma.f64 -4/3 x 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) 1) y))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) 1) y))
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(/.f64 (fma.f64 -4/3 x 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) 1) y))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
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(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
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(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
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(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
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(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 -4/3 (/.f64 x y))
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(*.f64 x (/.f64 -4/3 y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
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(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
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(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 0 (*.f64 (/.f64 x y) -4/3))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 x y) -4/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 x y) -4/3)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (.f64 -4/3 (/.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 -4/3 (/.f64 x y))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -4/3 (/.f64 y x))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4/3) (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 x y) -4/3)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 x y) -4/3)))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (.f64 -4/3 (/.f64 x y))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -4/3 (/.f64 y x))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4/3) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) -4/3))) 1)
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(/.f64 x (/.f64 y -4/3))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 -4/3 (/.f64 x y))
(*.f64 x (/.f64 -4/3 y))
(/.f64 1 (/.f64 y (*.f64 x -4/3)))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(/.f64 (*.f64 x -4/3) y)
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(/.f64 (neg.f64 (*.f64 x -4/3)) (neg.f64 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(/.f64 (/.f64 (*.f64 x -4/3) 1) y)
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(/.f64 (/.f64 (*.f64 x -4/3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(/.f64 (/.f64 (*.f64 x -4/3) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(/.f64 (*.f64 (neg.f64 x) -4/3) (neg.f64 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(/.f64 (*.f64 -4/3 (neg.f64 x)) (neg.f64 y))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(pow.f64 (*.f64 (/.f64 x y) -4/3) 1)
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(pow.f64 (*.f64 16/9 (pow.f64 (/.f64 y x) -2)) 1/2)
(sqrt.f64 (*.f64 16/9 (pow.f64 (/.f64 y x) -2)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 -4/3 y)) 2))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) -4/3)) 3)
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) -4/3)) 2)
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(pow.f64 (*.f64 -64/27 (pow.f64 (/.f64 x y) 3)) 1/3)
(cbrt.f64 (*.f64 -64/27 (pow.f64 (/.f64 x y) 3)))
(pow.f64 (/.f64 y (*.f64 x -4/3)) -1)
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(sqrt.f64 (*.f64 16/9 (pow.f64 (/.f64 y x) -2)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 -4/3 y)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 x y) -4/3)))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) -4/3))))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(cbrt.f64 (*.f64 -64/27 (pow.f64 (/.f64 x y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) -4/3)))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) -4/3)))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) -4/3)))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
(*.f64 x (/.f64 -4/3 y))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x y) -4/3)) 1))
(*.f64 -4/3 (/.f64 x y))
(/.f64 -4/3 (/.f64 y x))
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)))) 1)
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(-.f64 (/.f64 (pow.f64 y -2) (/.f64 (-.f64 1 (.f64 x -4/3)) y)) (/.f64 (.f64 16/9 (pow.f64 (/.f64 y x) -2)) (/.f64 (-.f64 1 (*.f64 x -4/3)) y)))
(.f64 (/.f64 (-.f64 (pow.f64 y -2) (.f64 16/9 (pow.f64 (/.f64 y x) -2))) (+.f64 1 (*.f64 x 4/3))) y)
(.f64 y (/.f64 (+.f64 (pow.f64 y -2) (.f64 (pow.f64 (/.f64 y x) -2) -16/9)) (+.f64 1 (*.f64 x 4/3))))
(*.f64 y (/.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) -16/9 (pow.f64 y -2)) (fma.f64 x 4/3 1)))
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(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))) 2) (cbrt.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))))
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(.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (/.f64 1 (fma.f64 (.f64 -4/3 (/.f64 x y)) (-.f64 (*.f64 -4/3 (/.f64 x y)) (/.f64 1 y)) (pow.f64 y -2))))
(/.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (fma.f64 (/.f64 -4/3 (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 -1 y)) (pow.f64 y -2)))
(/.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (fma.f64 (/.f64 x y) (.f64 -4/3 (/.f64 (+.f64 -1 (.f64 -4/3 x)) y)) (pow.f64 y -2)))
(.f64 (-.f64 (pow.f64 y -2) (.f64 16/9 (pow.f64 (/.f64 y x) -2))) (/.f64 1 (/.f64 (-.f64 1 (*.f64 x -4/3)) y)))
(.f64 (/.f64 (-.f64 (pow.f64 y -2) (.f64 16/9 (pow.f64 (/.f64 y x) -2))) (+.f64 1 (*.f64 x 4/3))) y)
(.f64 y (/.f64 (+.f64 (pow.f64 y -2) (.f64 (pow.f64 (/.f64 y x) -2) -16/9)) (+.f64 1 (*.f64 x 4/3))))
(*.f64 y (/.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) -16/9 (pow.f64 y -2)) (fma.f64 x 4/3 1)))
(/.f64 1 (/.f64 (fma.f64 (.f64 (/.f64 x y) -4/3) (-.f64 (.f64 (/.f64 x y) -4/3) (pow.f64 y -1)) (pow.f64 y -2)) (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3))))
(.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (/.f64 1 (fma.f64 (.f64 -4/3 (/.f64 x y)) (-.f64 (*.f64 -4/3 (/.f64 x y)) (/.f64 1 y)) (pow.f64 y -2))))
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(/.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (fma.f64 (/.f64 x y) (.f64 -4/3 (/.f64 (+.f64 -1 (.f64 -4/3 x)) y)) (pow.f64 y -2)))
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(.f64 (/.f64 (-.f64 (pow.f64 y -2) (.f64 16/9 (pow.f64 (/.f64 y x) -2))) (+.f64 1 (*.f64 x 4/3))) y)
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(*.f64 y (/.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) -16/9 (pow.f64 y -2)) (fma.f64 x 4/3 1)))
(/.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (fma.f64 (.f64 (/.f64 x y) -4/3) (-.f64 (.f64 (/.f64 x y) -4/3) (pow.f64 y -1)) (pow.f64 y -2)))
(.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (/.f64 1 (fma.f64 (.f64 -4/3 (/.f64 x y)) (-.f64 (*.f64 -4/3 (/.f64 x y)) (/.f64 1 y)) (pow.f64 y -2))))
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(/.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (fma.f64 16/9 (pow.f64 (/.f64 y x) -2) (-.f64 (pow.f64 y -2) (/.f64 (*.f64 (/.f64 x y) -4/3) y))))
(/.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (fma.f64 16/9 (pow.f64 (/.f64 y x) -2) (-.f64 (pow.f64 y -2) (/.f64 (/.f64 x y) (/.f64 y -4/3)))))
(/.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (fma.f64 16/9 (pow.f64 (/.f64 y x) -2) (-.f64 (pow.f64 y -2) (/.f64 (/.f64 -4/3 (/.f64 y x)) y))))
(/.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (+.f64 (fma.f64 16/9 (pow.f64 (/.f64 y x) -2) (pow.f64 y -2)) (*.f64 (/.f64 x y) (/.f64 4/3 y))))
(/.f64 (-.f64 (pow.f64 y -2) (.f64 16/9 (pow.f64 (/.f64 y x) -2))) (/.f64 (-.f64 1 (.f64 x -4/3)) y))
(.f64 (/.f64 (-.f64 (pow.f64 y -2) (.f64 16/9 (pow.f64 (/.f64 y x) -2))) (+.f64 1 (*.f64 x 4/3))) y)
(.f64 y (/.f64 (+.f64 (pow.f64 y -2) (.f64 (pow.f64 (/.f64 y x) -2) -16/9)) (+.f64 1 (*.f64 x 4/3))))
(*.f64 y (/.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) -16/9 (pow.f64 y -2)) (fma.f64 x 4/3 1)))
(/.f64 (neg.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3))) (neg.f64 (fma.f64 (.f64 (/.f64 x y) -4/3) (-.f64 (.f64 (/.f64 x y) -4/3) (pow.f64 y -1)) (pow.f64 y -2))))
(.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (/.f64 1 (fma.f64 (.f64 -4/3 (/.f64 x y)) (-.f64 (*.f64 -4/3 (/.f64 x y)) (/.f64 1 y)) (pow.f64 y -2))))
(/.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (fma.f64 (/.f64 -4/3 (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 -1 y)) (pow.f64 y -2)))
(/.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (fma.f64 (/.f64 x y) (.f64 -4/3 (/.f64 (+.f64 -1 (.f64 -4/3 x)) y)) (pow.f64 y -2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y -2) (.f64 16/9 (pow.f64 (/.f64 y x) -2)))) (neg.f64 (/.f64 (-.f64 1 (.f64 x -4/3)) y)))
(.f64 (/.f64 (-.f64 (pow.f64 y -2) (.f64 16/9 (pow.f64 (/.f64 y x) -2))) (+.f64 1 (*.f64 x 4/3))) y)
(.f64 y (/.f64 (+.f64 (pow.f64 y -2) (.f64 (pow.f64 (/.f64 y x) -2) -16/9)) (+.f64 1 (*.f64 x 4/3))))
(*.f64 y (/.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) -16/9 (pow.f64 y -2)) (fma.f64 x 4/3 1)))
(/.f64 (fma.f64 (.f64 x -4/3) y y) (.f64 y y))
(/.f64 (fma.f64 (.f64 -4/3 x) y y) (.f64 y y))
(/.f64 (.f64 (fma.f64 -4/3 x 1) y) (.f64 y y))
(*.f64 (/.f64 (fma.f64 -4/3 x 1) y) (/.f64 y y))
(/.f64 (fma.f64 (.f64 x -4/3) (neg.f64 y) (.f64 y -1)) (*.f64 y (neg.f64 y)))
(/.f64 (fma.f64 (.f64 -4/3 x) y y) (.f64 y y))
(/.f64 (.f64 (fma.f64 -4/3 x 1) y) (.f64 y y))
(*.f64 (/.f64 (fma.f64 -4/3 x 1) y) (/.f64 y y))
(/.f64 (+.f64 y (.f64 y (.f64 x -4/3))) (*.f64 y y))
(/.f64 (fma.f64 (.f64 -4/3 x) y y) (.f64 y y))
(/.f64 (.f64 (fma.f64 -4/3 x 1) y) (.f64 y y))
(*.f64 (/.f64 (fma.f64 -4/3 x 1) y) (/.f64 y y))
(/.f64 (fma.f64 -1 y (.f64 (neg.f64 y) (.f64 x -4/3))) (*.f64 (neg.f64 y) y))
(/.f64 (fma.f64 (.f64 -4/3 x) y y) (.f64 y y))
(/.f64 (.f64 (fma.f64 -4/3 x 1) y) (.f64 y y))
(*.f64 (/.f64 (fma.f64 -4/3 x 1) y) (/.f64 y y))
(/.f64 (-.f64 (.f64 16/9 (pow.f64 (/.f64 y x) -2)) (pow.f64 y -2)) (-.f64 (.f64 (/.f64 x y) -4/3) (pow.f64 y -1)))
(.f64 (/.f64 (-.f64 (pow.f64 y -2) (.f64 16/9 (pow.f64 (/.f64 y x) -2))) (+.f64 1 (*.f64 x 4/3))) y)
(.f64 y (/.f64 (+.f64 (pow.f64 y -2) (.f64 (pow.f64 (/.f64 y x) -2) -16/9)) (+.f64 1 (*.f64 x 4/3))))
(*.f64 y (/.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) -16/9 (pow.f64 y -2)) (fma.f64 x 4/3 1)))
(pow.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)) 1)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(pow.f64 (pow.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)) 2) 1/2)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(pow.f64 (pow.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)) 3) 1/3)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))) 3)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))) 2)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(pow.f64 (/.f64 (fma.f64 (.f64 (/.f64 x y) -4/3) (-.f64 (.f64 (/.f64 x y) -4/3) (pow.f64 y -1)) (pow.f64 y -2)) (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3))) -1)
(.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (/.f64 1 (fma.f64 (.f64 -4/3 (/.f64 x y)) (-.f64 (*.f64 -4/3 (/.f64 x y)) (/.f64 1 y)) (pow.f64 y -2))))
(/.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (fma.f64 (/.f64 -4/3 (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 -1 y)) (pow.f64 y -2)))
(/.f64 (fma.f64 -64/27 (pow.f64 (/.f64 x y) 3) (pow.f64 y -3)) (fma.f64 (/.f64 x y) (.f64 -4/3 (/.f64 (+.f64 -1 (.f64 -4/3 x)) y)) (pow.f64 y -2)))
(pow.f64 (/.f64 (/.f64 (-.f64 1 (.f64 x -4/3)) y) (-.f64 (pow.f64 y -2) (.f64 16/9 (pow.f64 (/.f64 y x) -2)))) -1)
(.f64 (/.f64 (-.f64 (pow.f64 y -2) (.f64 16/9 (pow.f64 (/.f64 y x) -2))) (+.f64 1 (*.f64 x 4/3))) y)
(.f64 y (/.f64 (+.f64 (pow.f64 y -2) (.f64 (pow.f64 (/.f64 y x) -2) -16/9)) (+.f64 1 (*.f64 x 4/3))))
(*.f64 y (/.f64 (fma.f64 (pow.f64 (/.f64 y x) -2) -16/9 (pow.f64 y -2)) (fma.f64 x 4/3 1)))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)) 2))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(log.f64 (exp.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)))))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 x y) -4/3))) (exp.f64 (pow.f64 y -1))))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(log.f64 (.f64 (exp.f64 (.f64 (/.f64 x y) -4/3)) (+.f64 1 (expm1.f64 (pow.f64 y -1)))))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 x y) -4/3))) (+.f64 1 (expm1.f64 (pow.f64 y -1)))))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 y -1))) (exp.f64 (.f64 (/.f64 x y) -4/3))))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(log.f64 (.f64 (exp.f64 (pow.f64 y -1)) (+.f64 1 (expm1.f64 (.f64 (/.f64 x y) -4/3)))))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 y -1))) (+.f64 1 (expm1.f64 (.f64 (/.f64 x y) -4/3)))))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1)) 3))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(exp.f64 (log.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))) 1))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(fma.f64 x (*.f64 (pow.f64 y -1) -4/3) (pow.f64 y -1))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(fma.f64 (/.f64 x y) -4/3 (pow.f64 y -1))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(fma.f64 -4/3 (/.f64 x y) (pow.f64 y -1))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(fma.f64 (*.f64 (/.f64 x y) -4/3) 1 (pow.f64 y -1))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(fma.f64 1 (*.f64 (/.f64 x y) -4/3) (pow.f64 y -1))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(fma.f64 1 (pow.f64 y -1) (*.f64 (/.f64 x y) -4/3))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(fma.f64 (pow.f64 y -1) 1 (*.f64 (/.f64 x y) -4/3))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(fma.f64 (pow.f64 (cbrt.f64 y) -1) (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 x y) -4/3))
(fma.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)) (/.f64 -4/3 (/.f64 y x)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 y) -1) (*.f64 (/.f64 x y) -4/3))
(fma.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)) (/.f64 -4/3 (/.f64 y x)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 y)))
(fma.f64 (cbrt.f64 (.f64 (/.f64 x y) -4/3)) (cbrt.f64 (.f64 16/9 (pow.f64 (/.f64 y x) -2))) (pow.f64 y -1))
(fma.f64 (cbrt.f64 (.f64 -4/3 (/.f64 x y))) (cbrt.f64 (.f64 16/9 (pow.f64 (/.f64 y x) -2))) (/.f64 1 y))
(fma.f64 (cbrt.f64 (/.f64 -4/3 (/.f64 y x))) (cbrt.f64 (*.f64 16/9 (pow.f64 (/.f64 y x) -2))) (/.f64 1 y))
(fma.f64 (cbrt.f64 (.f64 x (/.f64 -4/3 y))) (cbrt.f64 (pow.f64 (.f64 x (/.f64 -4/3 y)) 2)) (/.f64 1 y))
(fma.f64 (cbrt.f64 (.f64 16/9 (pow.f64 (/.f64 y x) -2))) (cbrt.f64 (.f64 (/.f64 x y) -4/3)) (pow.f64 y -1))
(fma.f64 (cbrt.f64 (.f64 -4/3 (/.f64 x y))) (cbrt.f64 (.f64 16/9 (pow.f64 (/.f64 y x) -2))) (/.f64 1 y))
(fma.f64 (cbrt.f64 (/.f64 -4/3 (/.f64 y x))) (cbrt.f64 (*.f64 16/9 (pow.f64 (/.f64 y x) -2))) (/.f64 1 y))
(fma.f64 (cbrt.f64 (.f64 x (/.f64 -4/3 y))) (cbrt.f64 (pow.f64 (.f64 x (/.f64 -4/3 y)) 2)) (/.f64 1 y))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 y x) -2)) (*.f64 (cbrt.f64 (/.f64 x y)) -4/3) (pow.f64 y -1))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 y x) -2)) (*.f64 -4/3 (cbrt.f64 (/.f64 x y))) (/.f64 1 y))
(fma.f64 -4/3 (*.f64 (cbrt.f64 (pow.f64 (/.f64 y x) -2)) (cbrt.f64 (/.f64 x y))) (/.f64 1 y))
(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (*.f64 (/.f64 x y) -4/3))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(fma.f64 (sqrt.f64 (.f64 (/.f64 x y) -4/3)) (sqrt.f64 (.f64 (/.f64 x y) -4/3)) (pow.f64 y -1))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) -4/3) (pow.f64 y -1))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(fma.f64 -1 (/.f64 1 (neg.f64 y)) (*.f64 (/.f64 x y) -4/3))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(fma.f64 (*.f64 x -4/3) (pow.f64 y -1) (pow.f64 y -1))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (pow.f64 (cbrt.f64 y) -1) (*.f64 (/.f64 x y) -4/3))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 1 (cbrt.f64 y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 1 (cbrt.f64 y)) (/.f64 -4/3 (/.f64 y x)))
(fma.f64 -4/3 (/.f64 x y) (pow.f64 (/.f64 1 (cbrt.f64 y)) 3))
(fma.f64 (/.f64 x 1) (/.f64 -4/3 y) (pow.f64 y -1))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 -4/3 (cbrt.f64 y)) (pow.f64 y -1))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 -4/3 (sqrt.f64 y)) (pow.f64 y -1))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)
(fma.f64 (*.f64 -4/3 (cbrt.f64 (pow.f64 (/.f64 y x) -2))) (cbrt.f64 (/.f64 x y)) (pow.f64 y -1))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 y x) -2)) (*.f64 -4/3 (cbrt.f64 (/.f64 x y))) (/.f64 1 y))
(fma.f64 -4/3 (*.f64 (cbrt.f64 (pow.f64 (/.f64 y x) -2)) (cbrt.f64 (/.f64 x y))) (/.f64 1 y))
(fma.f64 (*.f64 -4/3 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (pow.f64 y -1))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (fma.f64 -4/3 x 1) y)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 3 (*.f64 y 3))

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/.f64 3 (*.f64 y 3))
0.0ms	y	@	inf	(/.f64 3 (*.f64 y 3))
0.0ms	y	@	-inf	(/.f64 3 (*.f64 y 3))

rewrite38.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

523×	`pow1_binary64`
510×	`add-sqr-sqrt_binary64`
488×	`add-log-exp_binary64`
488×	`log1p-expm1-u_binary64`
488×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	109	4
2	1338	4

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(/.f64 3 (*.f64 y 3))

Outputs

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

simplify36.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

584×	`associate-*l/_binary64`
471×	`associate-*r/_binary64`
394×	`associate-/l*_binary64`
393×	`associate-/r/_binary64`
309×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	132
1	100	132
2	481	132
3	2270	132

Stop Event

1×	node limit

Counts

33 → 22

Calls

Call 1

Inputs
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(-.f64 (+.f64 1 (/.f64 1 y)) 1)
(*.f64 3 (/.f64 1/3 y))
(*.f64 (/.f64 1 y) 1)
(*.f64 1 (/.f64 1 y))
(*.f64 (cbrt.f64 (/.f64 1 y)) (pow.f64 (cbrt.f64 (/.f64 1 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)))
(.f64 -3 (/.f64 1 (.f64 y -3)))
(*.f64 (/.f64 1/3 y) 3)
(*.f64 (/.f64 3 y) 1/3)
(pow.f64 (/.f64 1 y) 1)
(pow.f64 (pow.f64 (/.f64 1 y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 1 y)) 3)
(pow.f64 (sqrt.f64 (/.f64 1 y)) 2)
(pow.f64 (/.f64 y 1) -1)
(sqrt.f64 (pow.f64 (/.f64 1 y) 2))
(log.f64 (exp.f64 (/.f64 1 y)))
(cbrt.f64 (pow.f64 (/.f64 1 y) 3))
(expm1.f64 (log1p.f64 (/.f64 1 y)))
(log1p.f64 (expm1.f64 (/.f64 1 y)))
(exp.f64 (log.f64 (/.f64 1 y)))

Outputs
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(-.f64 (+.f64 1 (/.f64 1 y)) 1)
(/.f64 1 y)
(*.f64 3 (/.f64 1/3 y))
(/.f64 1 y)
(*.f64 (/.f64 1 y) 1)
(/.f64 1 y)
(*.f64 1 (/.f64 1 y))
(/.f64 1 y)
(*.f64 (cbrt.f64 (/.f64 1 y)) (pow.f64 (cbrt.f64 (/.f64 1 y)) 2))
(/.f64 1 y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)))
(/.f64 1 y)
(*.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)))
(/.f64 1 y)
(.f64 -3 (/.f64 1 (.f64 y -3)))
(/.f64 1 y)
(*.f64 (/.f64 1/3 y) 3)
(/.f64 1 y)
(*.f64 (/.f64 3 y) 1/3)
(/.f64 1 y)
(pow.f64 (/.f64 1 y) 1)
(/.f64 1 y)
(pow.f64 (pow.f64 (/.f64 1 y) 3) 1/3)
(/.f64 1 y)
(pow.f64 (cbrt.f64 (/.f64 1 y)) 3)
(/.f64 1 y)
(pow.f64 (sqrt.f64 (/.f64 1 y)) 2)
(/.f64 1 y)
(pow.f64 (/.f64 y 1) -1)
(/.f64 1 y)
(sqrt.f64 (pow.f64 (/.f64 1 y) 2))
(/.f64 1 y)
(log.f64 (exp.f64 (/.f64 1 y)))
(/.f64 1 y)
(cbrt.f64 (pow.f64 (/.f64 1 y) 3))
(/.f64 1 y)
(expm1.f64 (log1p.f64 (/.f64 1 y)))
(/.f64 1 y)
(log1p.f64 (expm1.f64 (/.f64 1 y)))
(/.f64 1 y)
(exp.f64 (log.f64 (/.f64 1 y)))
(/.f64 1 y)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 x (/.f64 1/3 y)))
✓	0.2b	(*.f64 x (/.f64 1/3 y))
	0.4b	(/.f64 1/3 y)

Compiler

Compiled 20 to 12 computations (40% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 x (/.f64 1/3 y))
0.0ms	y	@	0	(*.f64 x (/.f64 1/3 y))
0.0ms	x	@	inf	(.f64 x (.f64 x (/.f64 1/3 y)))
0.0ms	x	@	0	(.f64 x (.f64 x (/.f64 1/3 y)))
0.0ms	x	@	-inf	(*.f64 x (/.f64 1/3 y))

rewrite118.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`pow1_binary64`
671×	`add-log-exp_binary64`
671×	`log1p-expm1-u_binary64`
671×	`expm1-log1p-u_binary64`
658×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	17
2	1841	17

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(*.f64 x (/.f64 1/3 y))
(.f64 x (.f64 x (/.f64 1/3 y)))

Outputs

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

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

simplify115.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

931×	`log-div_binary64`
482×	`fma-neg_binary64`
451×	`associate-*l/_binary64`
422×	`unswap-sqr_binary64`
364×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	752
1	254	752
2	978	752
3	6220	752

Stop Event

1×	node limit

Counts

89 → 47

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(-.f64 (+.f64 1 (*.f64 x (/.f64 1/3 y))) 1)
(/.f64 x (*.f64 y 3))
(/.f64 1 (/.f64 y (*.f64 x 1/3)))
(/.f64 (*.f64 x 1/3) y)
(/.f64 (neg.f64 (*.f64 x 1/3)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x 1/3) 1) y)
(/.f64 (/.f64 (*.f64 x 1/3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x 1/3) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 -1/3 x) (neg.f64 y))
(/.f64 (*.f64 x -1/3) (neg.f64 y))
(pow.f64 (*.f64 x (/.f64 1/3 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 1/3 y)))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1/3 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/3 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/3 y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/3 y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/3 y))))
(-.f64 (+.f64 1 (.f64 x (.f64 x (/.f64 1/3 y)))) 1)
(/.f64 (.f64 x x) (.f64 y 3))
(/.f64 (.f64 (.f64 x 1/3) x) y)
(/.f64 (.f64 x (.f64 x 1/3)) y)
(/.f64 (.f64 (.f64 x x) 1/3) y)
(/.f64 (.f64 (.f64 x x) 1) (*.f64 y 3))
(/.f64 (.f64 (.f64 x x) -1/3) (neg.f64 y))
(pow.f64 (.f64 x (.f64 x (/.f64 1/3 y))) 1)
(pow.f64 (pow.f64 (.f64 x (.f64 x (/.f64 1/3 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (/.f64 1/3 y)))) 3)
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 y))) 2)
(sqrt.f64 (pow.f64 (.f64 x (.f64 x (/.f64 1/3 y))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (/.f64 1/3 y)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (/.f64 1/3 y))) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x (/.f64 1/3 y)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (/.f64 1/3 y)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (/.f64 1/3 y)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (/.f64 1/3 y)))))
(exp.f64 (log.f64 (.f64 x (.f64 x (/.f64 1/3 y)))))

Outputs
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(-.f64 (+.f64 1 (*.f64 x (/.f64 1/3 y))) 1)
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1 (/.f64 y (*.f64 x 1/3)))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 x 1/3) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (neg.f64 (*.f64 x 1/3)) (neg.f64 y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 (*.f64 x 1/3) 1) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 (*.f64 x 1/3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 (*.f64 x 1/3) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 -1/3 x) (neg.f64 y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 x -1/3) (neg.f64 y))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(pow.f64 (*.f64 x (/.f64 1/3 y)) 1)
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3) 1/3)
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 y))) 3)
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 y))) 2)
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 2))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 1/3 y)))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1/3 y) 3)))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/3 y) 3) (pow.f64 x 3)))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/3 y))))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/3 y))))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/3 y))))
(/.f64 x (/.f64 y 1/3))
(*.f64 1/3 (/.f64 x y))
(-.f64 (+.f64 1 (.f64 x (.f64 x (/.f64 1/3 y)))) 1)
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(/.f64 (.f64 x x) (.f64 y 3))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(/.f64 (.f64 (.f64 x 1/3) x) y)
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(/.f64 (.f64 x (.f64 x 1/3)) y)
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(/.f64 (.f64 (.f64 x x) 1/3) y)
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(/.f64 (.f64 (.f64 x x) 1) (*.f64 y 3))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(/.f64 (.f64 (.f64 x x) -1/3) (neg.f64 y))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(pow.f64 (.f64 x (.f64 x (/.f64 1/3 y))) 1)
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x (/.f64 1/3 y))) 3) 1/3)
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (/.f64 1/3 y)))) 3)
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 y))) 2)
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x (/.f64 1/3 y))) 2))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (/.f64 1/3 y)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (/.f64 1/3 y))) 3))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x (/.f64 1/3 y)) 3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (/.f64 1/3 y)) 3) (pow.f64 x 3)))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (/.f64 1/3 y)))))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (/.f64 1/3 y)))))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x (/.f64 1/3 y)))))
(/.f64 (*.f64 x x) (/.f64 y 1/3))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 (/.f64 1/3 y) (.f64 x x))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (-.f64 1 x) (/.f64 1 y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (-.f64 1 x) (/.f64 1 y))
0.0ms	x	@	inf	(*.f64 (-.f64 1 x) (/.f64 1 y))
0.0ms	x	@	-inf	(*.f64 (-.f64 1 x) (/.f64 1 y))
0.0ms	y	@	0	(*.f64 (-.f64 1 x) (/.f64 1 y))
0.0ms	y	@	-inf	(*.f64 (-.f64 1 x) (/.f64 1 y))

rewrite108.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`pow1_binary64`
720×	`add-log-exp_binary64`
720×	`log1p-expm1-u_binary64`
720×	`expm1-log1p-u_binary64`
706×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	151	7
2	1980	7

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(*.f64 (-.f64 1 x) (/.f64 1 y))

Outputs

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

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

564×	`log-prod_binary64`
505×	`times-frac_binary64`
473×	`fma-neg_binary64`
406×	`associate-l_binary64`
396×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	568
1	319	568
2	1127	544
3	6623	544

Stop Event

1×	node limit

Counts

63 → 49

Calls

Call 1

Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 (neg.f64 x) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 1 y) (neg.f64 x)))
(-.f64 (/.f64 1 y) (/.f64 x y))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 1)
(/.f64 1 (/.f64 y (-.f64 1 x)))
(/.f64 (-.f64 1 x) y)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 y (cbrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 y (sqrt.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 y (+.f64 1 (fma.f64 x x x))))
(/.f64 (-.f64 1 (.f64 x x)) (.f64 y (+.f64 1 x)))
(/.f64 (neg.f64 (-.f64 1 x)) (neg.f64 y))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) 1) (.f64 (+.f64 1 (fma.f64 x x x)) y))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) 1) (*.f64 (+.f64 1 x) y))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) -1) (.f64 (+.f64 1 (fma.f64 x x x)) (neg.f64 y)))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) -1) (*.f64 (+.f64 1 x) (neg.f64 y)))
(/.f64 (.f64 -1 (-.f64 1 (pow.f64 x 3))) (.f64 (neg.f64 y) (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 -1 (-.f64 1 (.f64 x x))) (*.f64 (neg.f64 y) (+.f64 1 x)))
(/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (-.f64 1 x) 1) y)
(/.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 y)) (+.f64 1 (fma.f64 x x x)))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (/.f64 1 y)) (+.f64 1 x))
(/.f64 (*.f64 -1 (-.f64 1 x)) (neg.f64 y))
(/.f64 (*.f64 (-.f64 1 x) -1) (neg.f64 y))
(/.f64 (*.f64 (/.f64 1 y) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (.f64 (/.f64 1 y) (-.f64 1 (.f64 x x))) (+.f64 1 x))
(pow.f64 (/.f64 (-.f64 1 x) y) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (/.f64 (pow.f64 y -2) y)))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 y -2) y) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) y)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) y)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) y)))

Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(neg.f64 (/.f64 x y))
(/.f64 x (neg.f64 y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(neg.f64 (/.f64 x y))
(/.f64 x (neg.f64 y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y)))
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 (neg.f64 x) (/.f64 1 y)))
(/.f64 (-.f64 1 x) y)
(+.f64 (/.f64 1 y) (*.f64 (/.f64 1 y) (neg.f64 x)))
(/.f64 (-.f64 1 x) y)
(-.f64 (/.f64 1 y) (/.f64 x y))
(/.f64 (-.f64 1 x) y)
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 1)
(/.f64 (-.f64 1 x) y)
(/.f64 1 (/.f64 y (-.f64 1 x)))
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 y (cbrt.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 x) y)
(/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 y (sqrt.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 x) y)
(/.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 y (+.f64 1 (fma.f64 x x x))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 y (*.f64 y (fma.f64 x x x))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (fma.f64 y (fma.f64 x x x) y))
(/.f64 (-.f64 1 (.f64 x x)) (.f64 y (+.f64 1 x)))
(/.f64 (-.f64 1 (.f64 x x)) (+.f64 y (.f64 y x)))
(/.f64 (-.f64 1 (*.f64 x x)) (fma.f64 y x y))
(/.f64 (neg.f64 (-.f64 1 x)) (neg.f64 y))
(/.f64 (-.f64 1 x) y)
(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) 1) (.f64 (+.f64 1 (fma.f64 x x x)) y))
(/.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 y (+.f64 1 (fma.f64 x x x))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 y (*.f64 y (fma.f64 x x x))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (fma.f64 y (fma.f64 x x x) y))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) 1) (*.f64 (+.f64 1 x) y))
(/.f64 (-.f64 1 (.f64 x x)) (.f64 y (+.f64 1 x)))
(/.f64 (-.f64 1 (.f64 x x)) (+.f64 y (.f64 y x)))
(/.f64 (-.f64 1 (*.f64 x x)) (fma.f64 y x y))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) -1) (.f64 (+.f64 1 (fma.f64 x x x)) (neg.f64 y)))
(/.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 y (+.f64 1 (fma.f64 x x x))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 y (*.f64 y (fma.f64 x x x))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (fma.f64 y (fma.f64 x x x) y))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) -1) (*.f64 (+.f64 1 x) (neg.f64 y)))
(/.f64 (-.f64 1 (.f64 x x)) (.f64 y (+.f64 1 x)))
(/.f64 (-.f64 1 (.f64 x x)) (+.f64 y (.f64 y x)))
(/.f64 (-.f64 1 (*.f64 x x)) (fma.f64 y x y))
(/.f64 (.f64 -1 (-.f64 1 (pow.f64 x 3))) (.f64 (neg.f64 y) (+.f64 1 (fma.f64 x x x))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 y (+.f64 1 (fma.f64 x x x))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 y (*.f64 y (fma.f64 x x x))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (fma.f64 y (fma.f64 x x x) y))
(/.f64 (.f64 -1 (-.f64 1 (.f64 x x))) (*.f64 (neg.f64 y) (+.f64 1 x)))
(/.f64 (-.f64 1 (.f64 x x)) (.f64 y (+.f64 1 x)))
(/.f64 (-.f64 1 (.f64 x x)) (+.f64 y (.f64 y x)))
(/.f64 (-.f64 1 (*.f64 x x)) (fma.f64 y x y))
(/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 1 x) y)
(/.f64 (/.f64 (-.f64 1 x) 1) y)
(/.f64 (-.f64 1 x) y)
(/.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (-.f64 1 x) y)
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 y)) (+.f64 1 (fma.f64 x x x)))
(/.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 y (+.f64 1 (fma.f64 x x x))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 y (*.f64 y (fma.f64 x x x))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (fma.f64 y (fma.f64 x x x) y))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (/.f64 1 y)) (+.f64 1 x))
(/.f64 (-.f64 1 (.f64 x x)) (.f64 y (+.f64 1 x)))
(/.f64 (-.f64 1 (.f64 x x)) (+.f64 y (.f64 y x)))
(/.f64 (-.f64 1 (*.f64 x x)) (fma.f64 y x y))
(/.f64 (*.f64 -1 (-.f64 1 x)) (neg.f64 y))
(/.f64 (-.f64 1 x) y)
(/.f64 (*.f64 (-.f64 1 x) -1) (neg.f64 y))
(/.f64 (-.f64 1 x) y)
(/.f64 (*.f64 (/.f64 1 y) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 y (+.f64 1 (fma.f64 x x x))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 y (*.f64 y (fma.f64 x x x))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (fma.f64 y (fma.f64 x x x) y))
(/.f64 (.f64 (/.f64 1 y) (-.f64 1 (.f64 x x))) (+.f64 1 x))
(/.f64 (-.f64 1 (.f64 x x)) (.f64 y (+.f64 1 x)))
(/.f64 (-.f64 1 (.f64 x x)) (+.f64 y (.f64 y x)))
(/.f64 (-.f64 1 (*.f64 x x)) (fma.f64 y x y))
(pow.f64 (/.f64 (-.f64 1 x) y) 1)
(/.f64 (-.f64 1 x) y)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) 1/3)
(/.f64 (-.f64 1 x) y)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 3)
(/.f64 (-.f64 1 x) y)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) 2)
(/.f64 (-.f64 1 x) y)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2))
(/.f64 (-.f64 1 x) y)
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) y)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3))
(/.f64 (-.f64 1 x) y)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)))
(/.f64 (-.f64 1 x) y)
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (/.f64 (pow.f64 y -2) y)))
(/.f64 (-.f64 1 x) y)
(cbrt.f64 (*.f64 (/.f64 (pow.f64 y -2) y) (pow.f64 (-.f64 1 x) 3)))
(/.f64 (-.f64 1 x) y)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) y)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) y)
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) y)))
(/.f64 (-.f64 1 x) y)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 x 1/3) (/.f64 y x))
✓	0.3b	(*.f64 x 1/3)

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 x 1/3)
0.0ms	y	@	inf	(/.f64 (*.f64 x 1/3) (/.f64 y x))
0.0ms	x	@	-inf	(/.f64 (*.f64 x 1/3) (/.f64 y x))
0.0ms	x	@	0	(/.f64 (*.f64 x 1/3) (/.f64 y x))
0.0ms	y	@	-inf	(/.f64 (*.f64 x 1/3) (/.f64 y x))

rewrite69.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

905×	`pow1_binary64`
846×	`add-log-exp_binary64`
846×	`log1p-expm1-u_binary64`
846×	`expm1-log1p-u_binary64`
829×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	155	14
2	2245	14

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(*.f64 x 1/3)
(/.f64 (*.f64 x 1/3) (/.f64 y x))

Outputs

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

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

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

562×	`fma-neg_binary64`
501×	`associate-/l/_binary64`
420×	`unswap-sqr_binary64`
407×	`associate-/r*_binary64`
345×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	963
1	412	963
2	1848	960
3	7428	960

Stop Event

1×	node limit

Counts

98 → 75

Calls

Call 1

Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(sqrt.f64 (.f64 1/9 (.f64 x x)))
(log.f64 (exp.f64 (*.f64 x 1/3)))
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(exp.f64 (log.f64 (*.f64 x 1/3)))
(-.f64 (+.f64 1 (*.f64 x (/.f64 1/3 (/.f64 y x)))) 1)
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 (.f64 x 1/3) (/.f64 x y))
(.f64 (.f64 x (/.f64 1/3 (/.f64 y x))) 1)
(.f64 1 (.f64 x (/.f64 1/3 (/.f64 y x))))
(.f64 (cbrt.f64 (.f64 x (/.f64 1/3 (/.f64 y x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 1/3 (/.f64 y x)))) 2) (cbrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (.f64 (cbrt.f64 (.f64 x 1/3)) (/.f64 x y)))
(.f64 (sqrt.f64 (.f64 x (/.f64 1/3 (/.f64 y x)))) (sqrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))
(.f64 (sqrt.f64 (.f64 x 1/3)) (.f64 (sqrt.f64 (.f64 x 1/3)) (/.f64 x y)))
(.f64 (.f64 x -1/3) (/.f64 1 (/.f64 (neg.f64 y) x)))
(.f64 (/.f64 x y) (.f64 x 1/3))
(*.f64 (/.f64 x y) (/.f64 1/3 (/.f64 1 x)))
(*.f64 (/.f64 1/3 (/.f64 y x)) x)
(*.f64 (/.f64 x 1) (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 1/3 y) (/.f64 x (/.f64 1 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 1/3)) (/.f64 y x)))
(.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 x 1/3)) (/.f64 y x)))
(.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) y) (/.f64 (sqrt.f64 (*.f64 x 1/3)) (/.f64 1 x)))
(.f64 (/.f64 1 y) (/.f64 (.f64 x 1/3) (/.f64 1 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) y) (/.f64 (cbrt.f64 (*.f64 x 1/3)) (/.f64 1 x)))
(*.f64 (/.f64 x (/.f64 y x)) 1/3)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 1/3 (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 x (cbrt.f64 (/.f64 y x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (.f64 x 1/3) (cbrt.f64 (/.f64 y x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))
(.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 (*.f64 x 1/3)) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 y x))) (/.f64 1/3 (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 1/3 (sqrt.f64 (/.f64 y x))) (/.f64 x (sqrt.f64 (/.f64 y x))))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 (.f64 x 1/3) (sqrt.f64 (/.f64 y x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 (*.f64 x 1/3)) (sqrt.f64 (/.f64 y x))))
(.f64 (/.f64 (.f64 x 1/3) 1) (/.f64 x y))
(.f64 (/.f64 (.f64 x 1/3) (neg.f64 y)) (neg.f64 x))
(.f64 (.f64 (/.f64 1/3 (/.f64 y x)) 1) x)
(.f64 (.f64 (/.f64 1/3 (/.f64 y x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (/.f64 1/3 (/.f64 y x)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (/.f64 1/3 (/.f64 y x))) 1)
(pow.f64 (pow.f64 (*.f64 x (/.f64 1/3 (/.f64 y x))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))) 2)
(pow.f64 (*.f64 3 (/.f64 (/.f64 y x) x)) -1)
(neg.f64 (/.f64 (*.f64 x 1/3) (/.f64 (neg.f64 y) x)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 (/.f64 y x))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 x 1/3)) (/.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 (/.f64 y x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 1/3) 3) (pow.f64 (/.f64 y x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))

Outputs
(*.f64 1/3 x)
(/.f64 x 3)
(*.f64 1/3 x)
(/.f64 x 3)
(*.f64 1/3 x)
(/.f64 x 3)
(*.f64 1/3 x)
(/.f64 x 3)
(*.f64 1/3 x)
(/.f64 x 3)
(*.f64 1/3 x)
(/.f64 x 3)
(*.f64 1/3 x)
(/.f64 x 3)
(*.f64 1/3 x)
(/.f64 x 3)
(*.f64 1/3 x)
(/.f64 x 3)
(*.f64 1/3 x)
(/.f64 x 3)
(*.f64 1/3 x)
(/.f64 x 3)
(*.f64 1/3 x)
(/.f64 x 3)
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(*.f64 1/3 x)
(/.f64 x 3)
(pow.f64 (*.f64 x 1/3) 1)
(*.f64 1/3 x)
(/.f64 x 3)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(*.f64 1/3 x)
(/.f64 x 3)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(*.f64 1/3 x)
(/.f64 x 3)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(*.f64 1/3 x)
(/.f64 x 3)
(sqrt.f64 (.f64 1/9 (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x x) 1/9))
(fabs.f64 (/.f64 x 3))
(log.f64 (exp.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(/.f64 x 3)
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(*.f64 1/3 x)
(/.f64 x 3)
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(/.f64 x 3)
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(/.f64 x 3)
(exp.f64 (log.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(/.f64 x 3)
(-.f64 (+.f64 1 (*.f64 x (/.f64 1/3 (/.f64 y x)))) 1)
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 (.f64 x 1/3) (/.f64 x y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 (.f64 x (/.f64 1/3 (/.f64 y x))) 1)
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1 (.f64 x (/.f64 1/3 (/.f64 y x))))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 (cbrt.f64 (.f64 x (/.f64 1/3 (/.f64 y x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))) 2))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 1/3 (/.f64 y x)))) 2) (cbrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (.f64 (cbrt.f64 (.f64 x 1/3)) (/.f64 x y)))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 (sqrt.f64 (.f64 x (/.f64 1/3 (/.f64 y x)))) (sqrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 (sqrt.f64 (.f64 x 1/3)) (.f64 (sqrt.f64 (.f64 x 1/3)) (/.f64 x y)))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 (.f64 x -1/3) (/.f64 1 (/.f64 (neg.f64 y) x)))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 (/.f64 x y) (.f64 x 1/3))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 (/.f64 x y) (/.f64 1/3 (/.f64 1 x)))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 (/.f64 1/3 (/.f64 y x)) x)
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 (/.f64 x 1) (/.f64 1/3 (/.f64 y x)))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 (/.f64 1/3 y) (/.f64 x (/.f64 1 x)))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 1/3)) (/.f64 y x)))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 x 1/3)) (/.f64 y x)))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) y) (/.f64 (sqrt.f64 (*.f64 x 1/3)) (/.f64 1 x)))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 (/.f64 1 y) (/.f64 (.f64 x 1/3) (/.f64 1 x)))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) y) (/.f64 (cbrt.f64 (*.f64 x 1/3)) (/.f64 1 x)))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 (/.f64 x (/.f64 y x)) 1/3)
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 1/3 (cbrt.f64 (/.f64 y x))))
(/.f64 1/3 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (/.f64 x (cbrt.f64 (/.f64 y x)))))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 x (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 1/3 (cbrt.f64 (/.f64 y x))))
(/.f64 1/3 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (/.f64 x (cbrt.f64 (/.f64 y x)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (.f64 x 1/3) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 1/3 (cbrt.f64 (/.f64 y x))))
(/.f64 1/3 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (/.f64 x (cbrt.f64 (/.f64 y x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))
(.f64 (cbrt.f64 (.f64 x (/.f64 1/3 (/.f64 y x)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))
(.f64 (cbrt.f64 (.f64 (/.f64 x 3) (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x 3)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 (*.f64 x x) y))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x 3)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 x 1/3)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 (*.f64 x 1/3)) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 1/3 (cbrt.f64 (/.f64 y x))))
(/.f64 1/3 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (/.f64 x (cbrt.f64 (/.f64 y x)))))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 y x))) (/.f64 1/3 (sqrt.f64 (/.f64 y x))))
(/.f64 (/.f64 1/3 (sqrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 (/.f64 y x)) x))
(/.f64 x (*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) 1/3) (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 1/3 (sqrt.f64 (/.f64 y x))) (/.f64 x (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 y x))) (/.f64 1/3 (sqrt.f64 (/.f64 y x))))
(/.f64 (/.f64 1/3 (sqrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 (/.f64 y x)) x))
(/.f64 x (*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) 1/3) (sqrt.f64 (/.f64 y x))))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 (.f64 x 1/3) (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 y x))) (/.f64 1/3 (sqrt.f64 (/.f64 y x))))
(/.f64 (/.f64 1/3 (sqrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 (/.f64 y x)) x))
(/.f64 x (*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) 1/3) (sqrt.f64 (/.f64 y x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 (*.f64 x 1/3)) (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 y x))) (/.f64 1/3 (sqrt.f64 (/.f64 y x))))
(/.f64 (/.f64 1/3 (sqrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 (/.f64 y x)) x))
(/.f64 x (*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) 1/3) (sqrt.f64 (/.f64 y x))))
(.f64 (/.f64 (.f64 x 1/3) 1) (/.f64 x y))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 (/.f64 (.f64 x 1/3) (neg.f64 y)) (neg.f64 x))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 (.f64 (/.f64 1/3 (/.f64 y x)) 1) x)
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 (.f64 (/.f64 1/3 (/.f64 y x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 (.f64 (/.f64 1/3 (/.f64 y x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(pow.f64 (*.f64 x (/.f64 1/3 (/.f64 y x))) 1)
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(pow.f64 (pow.f64 (*.f64 x (/.f64 1/3 (/.f64 y x))) 3) 1/3)
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))) 3)
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))) 2)
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(pow.f64 (*.f64 3 (/.f64 (/.f64 y x) x)) -1)
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(neg.f64 (/.f64 (*.f64 x 1/3) (/.f64 (neg.f64 y) x)))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 (/.f64 y x))) 2))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(log.f64 (pow.f64 (exp.f64 (*.f64 x 1/3)) (/.f64 x y)))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 (/.f64 y x))) 3))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 1/3) 3) (pow.f64 (/.f64 y x) 3)))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))
(*.f64 x (/.f64 1/3 (/.f64 y x)))
(*.f64 (/.f64 x 3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))

eval186.0ms (2.5%)

Compiler: Compiled 4186 to 2597 computations (38% saved)

prune97.0ms (1.3%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	348	7	355
Fresh	3	3	6
Picked	1	0	1
Done	2	6	8
Total	354	16	370

Error

Counts

370 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (/.f64 (-.f64 1 x) y) (/.f64 3 (-.f64 3 x)))
	41.8b	(/.f64 (/.f64 x 3) (/.f64 y x))
	21.0b	(/.f64 (-.f64 1 x) y)
▶	20.6b	(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
	47.7b	(/.f64 (.f64 x (+.f64 x -4)) (.f64 y 3))
▶	48.0b	(/.f64 (.f64 x x) (.f64 y 3))
▶	61.1b	(/.f64 (neg.f64 x) y)
✓	21.0b	(/.f64 3 (*.f64 y 3))
✓	20.8b	(/.f64 1 y)
✓	20.6b	(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3))
	41.8b	(*.f64 (/.f64 x 3) (/.f64 x y))
▶	21.1b	(*.f64 (/.f64 3 y) 1/3)
▶	48.1b	(.f64 (/.f64 1/3 y) (.f64 x x))
	21.1b	(*.f64 (/.f64 1/3 y) 3)
✓	0.1b	(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))
✓	41.8b	(.f64 x (.f64 x (/.f64 1/3 y)))

Compiler

Compiled 224 to 164 computations (26.8% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
✓	0.3b	(*.f64 -4/3 x)

Compiler

Compiled 21 to 15 computations (28.6% saved)

series4.0ms (0.1%)

Counts

2 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
0.0ms	x	@	inf	(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
0.0ms	y	@	-inf	(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
0.0ms	x	@	-inf	(*.f64 -4/3 x)
0.0ms	x	@	inf	(*.f64 -4/3 x)

rewrite95.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`pow1_binary64`
816×	`add-log-exp_binary64`
816×	`log1p-expm1-u_binary64`
816×	`expm1-log1p-u_binary64`
801×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	168	12
2	2174	12

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(*.f64 -4/3 x)
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)

Outputs

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

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

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-def_binary64`
517×	`log-prod_binary64`
364×	`log-div_binary64`
309×	`unswap-sqr_binary64`
240×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	643
1	258	554
2	917	404
3	4358	404

Stop Event

1×	node limit

Counts

54 → 51

Calls

Call 1

Inputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(*.f64 -4/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(*.f64 -4/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(-.f64 (fma.f64 -4/3 x 1) 1)
(pow.f64 (*.f64 -4/3 x) 1)
(pow.f64 (cbrt.f64 (*.f64 -4/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 -4/3 x)) 2)
(pow.f64 (pow.f64 (*.f64 -4/3 x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 -4/3 x) 2))
(log.f64 (pow.f64 (exp.f64 -4/3) x))
(cbrt.f64 (pow.f64 (*.f64 -4/3 x) 3))
(expm1.f64 (log1p.f64 (*.f64 -4/3 x)))
(log1p.f64 (expm1.f64 (*.f64 -4/3 x)))
(exp.f64 (log.f64 (*.f64 -4/3 x)))
(-.f64 (+.f64 1 (/.f64 (fma.f64 -4/3 x 1) y)) 1)
(*.f64 1 (/.f64 (fma.f64 -4/3 x 1) y))
(*.f64 (fma.f64 -4/3 x 1) (/.f64 1 y))
(*.f64 (/.f64 (fma.f64 -4/3 x 1) y) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 x 1) y)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 x 1) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 x 1) y)) 2) (cbrt.f64 (/.f64 (fma.f64 -4/3 x 1) y)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 x 1)) 2) (.f64 (cbrt.f64 (fma.f64 -4/3 x 1)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 x 1) y)) (sqrt.f64 (/.f64 (fma.f64 -4/3 x 1) y)))
(.f64 (sqrt.f64 (fma.f64 -4/3 x 1)) (.f64 (sqrt.f64 (fma.f64 -4/3 x 1)) (/.f64 1 y)))
(*.f64 (neg.f64 (fma.f64 -4/3 x 1)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (fma.f64 -4/3 x 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 x 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -4/3 x 1)) y))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 x 1)) 1) (/.f64 (sqrt.f64 (fma.f64 -4/3 x 1)) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (fma.f64 -4/3 x 1) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 x 1)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (fma.f64 -4/3 x 1) y)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 x 1)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (fma.f64 -4/3 x 1)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (fma.f64 -4/3 x 1) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 x 1)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (fma.f64 -4/3 x 1)) (sqrt.f64 y)))
(pow.f64 (/.f64 (fma.f64 -4/3 x 1) y) 1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -4/3 x 1) y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 x 1) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 x 1) y)) 2)
(pow.f64 (/.f64 y (fma.f64 -4/3 x 1)) -1)
(neg.f64 (/.f64 (fma.f64 -4/3 x 1) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -4/3 x 1) y) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -4/3 x 1) y)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -4/3 x 1) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -4/3 x 1) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -4/3 x 1) y)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -4/3 x 1) y)))
(exp.f64 (log.f64 (/.f64 (fma.f64 -4/3 x 1) y)))

Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 -4/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 -4/3 (/.f64 x y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(-.f64 (fma.f64 -4/3 x 1) 1)
(+.f64 (fma.f64 -4/3 x 1) -1)
(+.f64 (*.f64 -4/3 x) 0)
(*.f64 -4/3 x)
(pow.f64 (*.f64 -4/3 x) 1)
(+.f64 (fma.f64 -4/3 x 1) -1)
(+.f64 (*.f64 -4/3 x) 0)
(*.f64 -4/3 x)
(pow.f64 (cbrt.f64 (*.f64 -4/3 x)) 3)
(+.f64 (fma.f64 -4/3 x 1) -1)
(+.f64 (*.f64 -4/3 x) 0)
(*.f64 -4/3 x)
(pow.f64 (sqrt.f64 (*.f64 -4/3 x)) 2)
(+.f64 (fma.f64 -4/3 x 1) -1)
(+.f64 (*.f64 -4/3 x) 0)
(*.f64 -4/3 x)
(pow.f64 (pow.f64 (*.f64 -4/3 x) 3) 1/3)
(+.f64 (fma.f64 -4/3 x 1) -1)
(+.f64 (*.f64 -4/3 x) 0)
(*.f64 -4/3 x)
(sqrt.f64 (pow.f64 (*.f64 -4/3 x) 2))
(+.f64 (fma.f64 -4/3 x 1) -1)
(+.f64 (*.f64 -4/3 x) 0)
(*.f64 -4/3 x)
(log.f64 (pow.f64 (exp.f64 -4/3) x))
(+.f64 (fma.f64 -4/3 x 1) -1)
(+.f64 (*.f64 -4/3 x) 0)
(*.f64 -4/3 x)
(cbrt.f64 (pow.f64 (*.f64 -4/3 x) 3))
(+.f64 (fma.f64 -4/3 x 1) -1)
(+.f64 (*.f64 -4/3 x) 0)
(*.f64 -4/3 x)
(expm1.f64 (log1p.f64 (*.f64 -4/3 x)))
(+.f64 (fma.f64 -4/3 x 1) -1)
(+.f64 (*.f64 -4/3 x) 0)
(*.f64 -4/3 x)
(log1p.f64 (expm1.f64 (*.f64 -4/3 x)))
(+.f64 (fma.f64 -4/3 x 1) -1)
(+.f64 (*.f64 -4/3 x) 0)
(*.f64 -4/3 x)
(exp.f64 (log.f64 (*.f64 -4/3 x)))
(+.f64 (fma.f64 -4/3 x 1) -1)
(+.f64 (*.f64 -4/3 x) 0)
(*.f64 -4/3 x)
(-.f64 (+.f64 1 (/.f64 (fma.f64 -4/3 x 1) y)) 1)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 1 (/.f64 (fma.f64 -4/3 x 1) y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 (fma.f64 -4/3 x 1) (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 (/.f64 (fma.f64 -4/3 x 1) y) 1)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 x 1) y)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 x 1) y)) 2))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 x 1) y)) 2) (cbrt.f64 (/.f64 (fma.f64 -4/3 x 1) y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 x 1)) 2) (.f64 (cbrt.f64 (fma.f64 -4/3 x 1)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 x 1) y)) (sqrt.f64 (/.f64 (fma.f64 -4/3 x 1) y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(.f64 (sqrt.f64 (fma.f64 -4/3 x 1)) (.f64 (sqrt.f64 (fma.f64 -4/3 x 1)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 (neg.f64 (fma.f64 -4/3 x 1)) (/.f64 1 (neg.f64 y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 (/.f64 1 y) (fma.f64 -4/3 x 1))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 x 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -4/3 x 1)) y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 x 1)) 1) (/.f64 (sqrt.f64 (fma.f64 -4/3 x 1)) y))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (fma.f64 -4/3 x 1) (cbrt.f64 y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 x 1)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (fma.f64 -4/3 x 1) y)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 x 1) y)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 x 1)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 x 1)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (fma.f64 -4/3 x 1)) (cbrt.f64 y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (fma.f64 -4/3 x 1) (sqrt.f64 y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 x 1)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (fma.f64 -4/3 x 1)) (sqrt.f64 y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(pow.f64 (/.f64 (fma.f64 -4/3 x 1) y) 1)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -4/3 x 1) y) 3) 1/3)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 x 1) y)) 3)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 x 1) y)) 2)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(pow.f64 (/.f64 y (fma.f64 -4/3 x 1)) -1)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(neg.f64 (/.f64 (fma.f64 -4/3 x 1) (neg.f64 y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -4/3 x 1) y) 2))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(log.f64 (exp.f64 (/.f64 (fma.f64 -4/3 x 1) y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -4/3 x 1) y) 3))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -4/3 x 1) 3) (pow.f64 y 3)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -4/3 x 1) y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -4/3 x 1) y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)
(exp.f64 (log.f64 (/.f64 (fma.f64 -4/3 x 1) y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -4/3 x 1) y)

localize4.0ms (0.1%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 3 y) 1/3)

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 (/.f64 3 y) 1/3)
0.0ms	y	@	inf	(*.f64 (/.f64 3 y) 1/3)
0.0ms	y	@	-inf	(*.f64 (/.f64 3 y) 1/3)

rewrite45.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`pow1_binary64`
521×	`add-log-exp_binary64`
521×	`log1p-expm1-u_binary64`
521×	`expm1-log1p-u_binary64`
513×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	130	4
2	1445	4

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(*.f64 (/.f64 3 y) 1/3)

Outputs

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

simplify35.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

526×	`associate-/l/_binary64`
394×	`fma-neg_binary64`
245×	`associate-/r/_binary64`
196×	`*-commutative_binary64`
193×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	120
1	101	120
2	276	120
3	1772	120
4	4848	120

Stop Event

1×	node limit

Counts

30 → 18

Calls

Call 1

Inputs
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(-.f64 (+.f64 1 (/.f64 1 y)) 1)
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 1 y)
(/.f64 1 (/.f64 y 1))
(/.f64 (/.f64 1 (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 -1 (neg.f64 y))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(pow.f64 y -1)
(pow.f64 (/.f64 1 y) 1)
(pow.f64 (pow.f64 (/.f64 1 y) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 y)) 3)
(pow.f64 (/.f64 1 (sqrt.f64 y)) 2)
(sqrt.f64 (/.f64 1 (*.f64 y y)))
(log.f64 (exp.f64 (/.f64 1 y)))
(cbrt.f64 (pow.f64 (/.f64 1 y) 3))
(expm1.f64 (log1p.f64 (/.f64 1 y)))
(log1p.f64 (expm1.f64 (/.f64 1 y)))
(exp.f64 (neg.f64 (log.f64 y)))

Outputs
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 y)
(-.f64 (+.f64 1 (/.f64 1 y)) 1)
(/.f64 1 y)
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 1 y)
(/.f64 1 y)
(/.f64 1 (/.f64 y 1))
(/.f64 1 y)
(/.f64 (/.f64 1 (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 1 y)
(/.f64 -1 (neg.f64 y))
(/.f64 1 y)
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 1 y)
(pow.f64 y -1)
(/.f64 1 y)
(pow.f64 (/.f64 1 y) 1)
(/.f64 1 y)
(pow.f64 (pow.f64 (/.f64 1 y) 3) 1/3)
(/.f64 1 y)
(pow.f64 (/.f64 1 (cbrt.f64 y)) 3)
(/.f64 1 y)
(pow.f64 (/.f64 1 (sqrt.f64 y)) 2)
(/.f64 1 y)
(sqrt.f64 (/.f64 1 (*.f64 y y)))
(/.f64 1 y)
(log.f64 (exp.f64 (/.f64 1 y)))
(/.f64 1 y)
(cbrt.f64 (pow.f64 (/.f64 1 y) 3))
(/.f64 1 y)
(expm1.f64 (log1p.f64 (/.f64 1 y)))
(/.f64 1 y)
(log1p.f64 (expm1.f64 (/.f64 1 y)))
(/.f64 1 y)
(exp.f64 (neg.f64 (log.f64 y)))
(/.f64 1 y)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/3 y)
✓	10.2b	(.f64 (/.f64 1/3 y) (.f64 x x))

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(.f64 (/.f64 1/3 y) (.f64 x x))
0.0ms	y	@	inf	(.f64 (/.f64 1/3 y) (.f64 x x))
0.0ms	x	@	inf	(.f64 (/.f64 1/3 y) (.f64 x x))
0.0ms	y	@	-inf	(.f64 (/.f64 1/3 y) (.f64 x x))
0.0ms	x	@	0	(.f64 (/.f64 1/3 y) (.f64 x x))

rewrite49.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`pow1_binary64`
660×	`add-log-exp_binary64`
660×	`log1p-expm1-u_binary64`
660×	`expm1-log1p-u_binary64`
645×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	150	10
2	1851	10

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(.f64 (/.f64 1/3 y) (.f64 x x))

Outputs

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

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

733×	`associate-l_binary64`
717×	`associate-r_binary64`
655×	`log-div_binary64`
402×	`fma-def_binary64`
332×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	470
1	183	470
2	699	470
3	6319	470

Stop Event

1×	node limit

Counts

47 → 27

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(-.f64 (+.f64 1 (.f64 1/3 (/.f64 (.f64 x x) y))) 1)
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(/.f64 (.f64 x x) (.f64 y 3))
(/.f64 1 (/.f64 y (.f64 1/3 (.f64 x x))))
(/.f64 (.f64 1/3 (.f64 x x)) y)
(/.f64 (neg.f64 (.f64 1/3 (.f64 x x))) (neg.f64 y))
(/.f64 (/.f64 (.f64 1/3 (.f64 x x)) 1) y)
(/.f64 (/.f64 (.f64 1/3 (.f64 x x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (.f64 1/3 (.f64 x x)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (.f64 -1/3 (.f64 x x)) (neg.f64 y))
(/.f64 (.f64 (.f64 x x) -1/3) (neg.f64 y))
(pow.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) 1)
(pow.f64 (pow.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 1/3 (/.f64 (.f64 x x) y))) 3)
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 y))) 2)
(sqrt.f64 (pow.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (/.f64 1/3 y)))
(cbrt.f64 (pow.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1/3 y) 3) (pow.f64 (.f64 x x) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (/.f64 1/3 y) 3)))
(expm1.f64 (log1p.f64 (.f64 1/3 (/.f64 (.f64 x x) y))))
(log1p.f64 (expm1.f64 (.f64 1/3 (/.f64 (.f64 x x) y))))
(exp.f64 (log.f64 (.f64 1/3 (/.f64 (.f64 x x) y))))

Outputs
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(-.f64 (+.f64 1 (.f64 1/3 (/.f64 (.f64 x x) y))) 1)
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(/.f64 1/3 (/.f64 y (*.f64 x x)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(/.f64 (.f64 x x) (.f64 y 3))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(/.f64 1 (/.f64 y (.f64 1/3 (.f64 x x))))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(/.f64 (.f64 1/3 (.f64 x x)) y)
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(/.f64 (neg.f64 (.f64 1/3 (.f64 x x))) (neg.f64 y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(/.f64 (/.f64 (.f64 1/3 (.f64 x x)) 1) y)
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(/.f64 (/.f64 (.f64 1/3 (.f64 x x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(/.f64 (/.f64 (.f64 1/3 (.f64 x x)) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(/.f64 (.f64 -1/3 (.f64 x x)) (neg.f64 y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(/.f64 (.f64 (.f64 x x) -1/3) (neg.f64 y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(pow.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) 1)
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(pow.f64 (pow.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) 3) 1/3)
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(pow.f64 (cbrt.f64 (.f64 1/3 (/.f64 (.f64 x x) y))) 3)
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 y))) 2)
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(sqrt.f64 (pow.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) 2))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (/.f64 1/3 y)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(cbrt.f64 (pow.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) 3))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1/3 y) 3) (pow.f64 (.f64 x x) 3)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (/.f64 1/3 y) 3)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(expm1.f64 (log1p.f64 (.f64 1/3 (/.f64 (.f64 x x) y))))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(log1p.f64 (expm1.f64 (.f64 1/3 (/.f64 (.f64 x x) y))))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(exp.f64 (log.f64 (.f64 1/3 (/.f64 (.f64 x x) y))))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 x (.f64 1/3 (/.f64 x y)))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.3b	(/.f64 (.f64 x x) (.f64 y 3))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (.f64 x x) (.f64 y 3))
0.0ms	x	@	inf	(/.f64 (.f64 x x) (.f64 y 3))
0.0ms	y	@	inf	(/.f64 (.f64 x x) (.f64 y 3))
0.0ms	y	@	-inf	(/.f64 (.f64 x x) (.f64 y 3))
0.0ms	x	@	-inf	(/.f64 (.f64 x x) (.f64 y 3))

rewrite53.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

833×	`pow1_binary64`
778×	`add-log-exp_binary64`
778×	`log1p-expm1-u_binary64`
778×	`expm1-log1p-u_binary64`
760×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	152	10
2	2097	10

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(/.f64 (.f64 x x) (.f64 y 3))

Outputs

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

simplify49.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

664×	`log-prod_binary64`
540×	`log-div_binary64`
488×	`times-frac_binary64`
427×	`associate-/l*_binary64`
418×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	768
1	314	765
2	1111	764
3	5489	748

Stop Event

1×	node limit

Counts

64 → 62

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(-.f64 (+.f64 1 (.f64 x (.f64 x (/.f64 1/3 y)))) 1)
(.f64 x (/.f64 1 (.f64 3 (/.f64 y x))))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 (.f64 x x) (/.f64 1/3 y))
(.f64 (.f64 x (*.f64 x (/.f64 1/3 y))) 1)
(.f64 1 (.f64 x (*.f64 x (/.f64 1/3 y))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1/3 y)))
(.f64 (cbrt.f64 (.f64 x (.f64 x (/.f64 1/3 y)))) (pow.f64 (cbrt.f64 (.f64 x (*.f64 x (/.f64 1/3 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (/.f64 1/3 y)))) 2) (cbrt.f64 (.f64 x (*.f64 x (/.f64 1/3 y)))))
(.f64 (.f64 x (sqrt.f64 (/.f64 1/3 y))) (*.f64 x (sqrt.f64 (/.f64 1/3 y))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (*.f64 y -3)))
(.f64 (/.f64 x y) (.f64 x 1/3))
(.f64 (.f64 x 1/3) (/.f64 x y))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 (/.f64 x (/.f64 y x)) 1/3)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 (/.f64 1 y) (/.f64 (.f64 x x) 3))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 3))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 3) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))
(.f64 (/.f64 x 1) (/.f64 x (.f64 y 3)))
(.f64 (/.f64 x (.f64 y 3)) x)
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 y 3)))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 3))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (.f64 y 3))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (cbrt.f64 (.f64 x (.f64 x (/.f64 1/3 y)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 y 3))) (/.f64 (.f64 x x) (sqrt.f64 (.f64 y 3))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (.f64 y 3))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 y 3))))
(pow.f64 (.f64 x (.f64 x (/.f64 1/3 y))) 1)
(pow.f64 (pow.f64 (.f64 x (.f64 x (/.f64 1/3 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (/.f64 1/3 y)))) 3)
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 y))) 2)
(pow.f64 (.f64 3 (/.f64 y (.f64 x x))) -1)
(neg.f64 (/.f64 (.f64 x x) (.f64 y -3)))
(sqrt.f64 (/.f64 (pow.f64 x 4) (.f64 9 (.f64 y y))))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 y x)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (/.f64 1/3 y))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 y 3) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (/.f64 1/3 y)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (/.f64 1/3 y)))))
(exp.f64 (log.f64 (.f64 x (.f64 x (/.f64 1/3 y)))))

Outputs
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(-.f64 (+.f64 1 (.f64 x (.f64 x (/.f64 1/3 y)))) 1)
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 1 (.f64 3 (/.f64 y x))))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (.f64 x x) (/.f64 1/3 y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (.f64 x (*.f64 x (/.f64 1/3 y))) 1)
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 1 (.f64 x (*.f64 x (/.f64 1/3 y))))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1/3 y)))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/3 y))
(.f64 (/.f64 1/3 y) (.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (/.f64 1/3 y) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (/.f64 1/3 y) (cbrt.f64 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 x (.f64 x (/.f64 1/3 y)))) (pow.f64 (cbrt.f64 (.f64 x (*.f64 x (/.f64 1/3 y)))) 2))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (/.f64 1/3 y)))) 2) (cbrt.f64 (.f64 x (*.f64 x (/.f64 1/3 y)))))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (.f64 x (sqrt.f64 (/.f64 1/3 y))) (*.f64 x (sqrt.f64 (/.f64 1/3 y))))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (*.f64 y -3)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (/.f64 x y) (.f64 x 1/3))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (.f64 x 1/3) (/.f64 x y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (/.f64 1/3 y) (.f64 x x))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 (/.f64 x (/.f64 y x)) 1/3)
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (/.f64 1 y) (/.f64 (.f64 x x) 3))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 3))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 3) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))
(.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 y 3)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 3) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 3))
(.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 y 3)))
(.f64 (/.f64 x 1) (/.f64 x (.f64 y 3)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (/.f64 x (.f64 y 3)) x)
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 y 3)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 3))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 3) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))
(.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 y 3)))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 3))))
(/.f64 (.f64 x x) (.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) (cbrt.f64 (.f64 y 3))))
(/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (.f64 y 3)) 3))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (.f64 y 3))))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 3))))
(/.f64 (.f64 x x) (.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) (cbrt.f64 (.f64 y 3))))
(/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (.f64 y 3)) 3))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (cbrt.f64 (.f64 x (.f64 x (/.f64 1/3 y)))))
(.f64 (cbrt.f64 (.f64 1/3 (/.f64 (.f64 x x) y))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)))
(.f64 (cbrt.f64 (.f64 x (.f64 x (/.f64 1/3 y)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)))
(.f64 (cbrt.f64 (.f64 x (.f64 1/3 (/.f64 x y)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)))
(.f64 (cbrt.f64 (.f64 1/3 (.f64 x (/.f64 x y)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 y 3))) (/.f64 (.f64 x x) (sqrt.f64 (.f64 y 3))))
(/.f64 (/.f64 x (/.f64 (sqrt.f64 (.f64 y 3)) x)) (sqrt.f64 (.f64 y 3)))
(/.f64 x (.f64 (sqrt.f64 (.f64 y 3)) (/.f64 (sqrt.f64 (*.f64 y 3)) x)))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 y 3))) (sqrt.f64 (*.f64 y 3))) x)
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (.f64 y 3))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 y 3))))
(pow.f64 (.f64 x (.f64 x (/.f64 1/3 y))) 1)
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(pow.f64 (pow.f64 (.f64 x (.f64 x (/.f64 1/3 y))) 3) 1/3)
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (/.f64 1/3 y)))) 3)
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 y))) 2)
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(pow.f64 (.f64 3 (/.f64 y (.f64 x x))) -1)
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(neg.f64 (/.f64 (.f64 x x) (.f64 y -3)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(sqrt.f64 (/.f64 (pow.f64 x 4) (.f64 9 (.f64 y y))))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 y))) 4))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 y x)))))
(log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x y) x))))
(log.f64 (cbrt.f64 (exp.f64 (*.f64 x (/.f64 x y)))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (/.f64 1/3 y))) 3))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 y 3) 3)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (/.f64 1/3 y)))))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (/.f64 1/3 y)))))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(exp.f64 (log.f64 (.f64 x (.f64 x (/.f64 1/3 y)))))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 1/3 (/.f64 x y)))
(.f64 1/3 (.f64 x (/.f64 x y)))

eval47.0ms (0.6%)

Compiler: Compiled 1947 to 1279 computations (34.3% saved)

prune34.0ms (0.5%)

Pruning

18 alts after pruning (7 fresh and 11 done)

	Pruned	Kept	Total
New	188	2	190
Fresh	0	5	5
Picked	0	1	1
Done	0	10	10
Total	188	18	206

Error

Counts

206 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (/.f64 (-.f64 1 x) y) (/.f64 3 (-.f64 3 x)))
	41.8b	(/.f64 (/.f64 x 3) (/.f64 y x))
	21.0b	(/.f64 (-.f64 1 x) y)
✓	20.6b	(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
	47.7b	(/.f64 (.f64 x (+.f64 x -4)) (.f64 y 3))
✓	48.0b	(/.f64 (.f64 x x) (.f64 y 3))
✓	61.1b	(/.f64 (neg.f64 x) y)
✓	21.0b	(/.f64 3 (*.f64 y 3))
✓	20.8b	(/.f64 1 y)
	21.0b	(/.f64 1/3 (*.f64 y 1/3))
✓	20.6b	(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3))
	41.8b	(*.f64 (/.f64 x 3) (/.f64 x y))
✓	21.1b	(*.f64 (/.f64 3 y) 1/3)
✓	48.1b	(.f64 (/.f64 1/3 y) (.f64 x x))
	21.1b	(*.f64 (/.f64 1/3 y) 3)
✓	0.1b	(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))
✓	41.8b	(.f64 x (.f64 x (/.f64 1/3 y)))
	61.1b	(*.f64 -4/3 (/.f64 x y))

Compiler

Compiled 155 to 115 computations (25.8% saved)

regimes117.0ms (1.6%)

Counts

34 → 1

Calls

Call 1

Inputs
(/.f64 1 y)
(/.f64 (neg.f64 x) y)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) 3)
(*.f64 (/.f64 3 y) 1/3)
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 3 (*.f64 y 3))
(/.f64 (-.f64 1 x) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(*.f64 (-.f64 1 x) (/.f64 1 y))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 (/.f64 x 3) (/.f64 x y))
(*.f64 (/.f64 (-.f64 1 x) y) 1)
(/.f64 (.f64 1/3 (.f64 x x)) y)
(/.f64 (*.f64 x 1/3) (/.f64 y x))
(/.f64 (.f64 x x) (.f64 y 3))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (/.f64 x 3) (/.f64 y x))
(/.f64 (/.f64 (-.f64 1 x) y) 1)
(.f64 (-.f64 1 x) (.f64 (/.f64 x y) -1/3))
(.f64 (-.f64 1 x) (/.f64 (.f64 x -1/3) y))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 x -1/3))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3))
(/.f64 (.f64 x (+.f64 x -4)) (.f64 y 3))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 3 x) 3))
(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
(/.f64 (/.f64 (-.f64 1 x) y) (/.f64 3 (-.f64 3 x)))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))

Outputs
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

Calls

5 calls:

38.0ms	(*.f64 y 3)
32.0ms	x
17.0ms	y
16.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
5.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))`
0.1b	1	`(*.f64 (-.f64 1 x) (-.f64 3 x))`
0.1b	1	`(*.f64 y 3)`

Compiler

Compiled 290 to 186 computations (35.9% saved)

regimes59.0ms (0.8%)

Counts

30 → 1

Calls

Call 1

Inputs
(/.f64 1 y)
(/.f64 (neg.f64 x) y)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) 3)
(*.f64 (/.f64 3 y) 1/3)
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 3 (*.f64 y 3))
(/.f64 (-.f64 1 x) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(*.f64 (-.f64 1 x) (/.f64 1 y))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 (/.f64 x 3) (/.f64 x y))
(*.f64 (/.f64 (-.f64 1 x) y) 1)
(/.f64 (.f64 1/3 (.f64 x x)) y)
(/.f64 (*.f64 x 1/3) (/.f64 y x))
(/.f64 (.f64 x x) (.f64 y 3))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (/.f64 x 3) (/.f64 y x))
(/.f64 (/.f64 (-.f64 1 x) y) 1)
(.f64 (-.f64 1 x) (.f64 (/.f64 x y) -1/3))
(.f64 (-.f64 1 x) (/.f64 (.f64 x -1/3) y))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 x -1/3))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3))
(/.f64 (.f64 x (+.f64 x -4)) (.f64 y 3))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 3 x) 3))
(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))

Outputs
(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))

Calls

3 calls:

21.0ms	y
16.0ms	x
15.0ms	(*.f64 y 3)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(*.f64 y 3)`

Compiler

Compiled 225 to 138 computations (38.7% saved)

regimes57.0ms (0.8%)

Counts

29 → 1

Calls

Call 1

Inputs
(/.f64 1 y)
(/.f64 (neg.f64 x) y)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) 3)
(*.f64 (/.f64 3 y) 1/3)
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 3 (*.f64 y 3))
(/.f64 (-.f64 1 x) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(*.f64 (-.f64 1 x) (/.f64 1 y))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 (/.f64 x 3) (/.f64 x y))
(*.f64 (/.f64 (-.f64 1 x) y) 1)
(/.f64 (.f64 1/3 (.f64 x x)) y)
(/.f64 (*.f64 x 1/3) (/.f64 y x))
(/.f64 (.f64 x x) (.f64 y 3))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (/.f64 x 3) (/.f64 y x))
(/.f64 (/.f64 (-.f64 1 x) y) 1)
(.f64 (-.f64 1 x) (.f64 (/.f64 x y) -1/3))
(.f64 (-.f64 1 x) (/.f64 (.f64 x -1/3) y))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 x -1/3))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3))
(/.f64 (.f64 x (+.f64 x -4)) (.f64 y 3))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 3 x) 3))
(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))

Outputs
(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))

Calls

3 calls:

19.0ms	x
16.0ms	(*.f64 y 3)
16.0ms	y

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`y`
0.4b	1	`(*.f64 y 3)`

Compiler

Compiled 214 to 130 computations (39.3% saved)

regimes148.0ms (2%)

Counts

28 → 3

Calls

Call 1

Inputs
(/.f64 1 y)
(/.f64 (neg.f64 x) y)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) 3)
(*.f64 (/.f64 3 y) 1/3)
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 3 (*.f64 y 3))
(/.f64 (-.f64 1 x) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(*.f64 (-.f64 1 x) (/.f64 1 y))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 (/.f64 x 3) (/.f64 x y))
(*.f64 (/.f64 (-.f64 1 x) y) 1)
(/.f64 (.f64 1/3 (.f64 x x)) y)
(/.f64 (*.f64 x 1/3) (/.f64 y x))
(/.f64 (.f64 x x) (.f64 y 3))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (/.f64 x 3) (/.f64 y x))
(/.f64 (/.f64 (-.f64 1 x) y) 1)
(.f64 (-.f64 1 x) (.f64 (/.f64 x y) -1/3))
(.f64 (-.f64 1 x) (/.f64 (.f64 x -1/3) y))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 x -1/3))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3))
(/.f64 (.f64 x (+.f64 x -4)) (.f64 y 3))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 3 x) 3))

Outputs
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 3 x) 3))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 3 x) 3))

Calls

3 calls:

52.0ms	(*.f64 y 3)
49.0ms	y
40.0ms	x

Results

Error	Segments	Branch
1.3b	3	`x`
17.4b	4	`y`
17.4b	4	`(*.f64 y 3)`

Compiler

Compiled 203 to 122 computations (39.9% saved)

bsearch34.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	6.04968350388119e-12	332.0989915236807
15.0ms	-4.838934157611567	-8.535928386587285e-5

Results

28.0ms

288×

body

256

valid

Compiler

Compiled 432 to 338 computations (21.8% saved)

regimes165.0ms (2.2%)

Counts

27 → 3

Calls

Call 1

Inputs
(/.f64 1 y)
(/.f64 (neg.f64 x) y)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) 3)
(*.f64 (/.f64 3 y) 1/3)
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 3 (*.f64 y 3))
(/.f64 (-.f64 1 x) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(*.f64 (-.f64 1 x) (/.f64 1 y))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 (/.f64 x 3) (/.f64 x y))
(*.f64 (/.f64 (-.f64 1 x) y) 1)
(/.f64 (.f64 1/3 (.f64 x x)) y)
(/.f64 (*.f64 x 1/3) (/.f64 y x))
(/.f64 (.f64 x x) (.f64 y 3))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(/.f64 (/.f64 x 3) (/.f64 y x))
(/.f64 (/.f64 (-.f64 1 x) y) 1)
(.f64 (-.f64 1 x) (.f64 (/.f64 x y) -1/3))
(.f64 (-.f64 1 x) (/.f64 (.f64 x -1/3) y))
(.f64 (/.f64 (-.f64 1 x) y) (.f64 x -1/3))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3))
(/.f64 (.f64 x (+.f64 x -4)) (.f64 y 3))

Outputs
(/.f64 (/.f64 x 3) (/.f64 y x))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(*.f64 (/.f64 x 3) (/.f64 x y))

Calls

3 calls:

63.0ms	y
50.0ms	x
45.0ms	(*.f64 y 3)

Results

Error	Segments	Branch
1.4b	3	`x`
17.4b	4	`y`
17.4b	4	`(*.f64 y 3)`

Compiler

Compiled 193 to 117 computations (39.4% saved)

bsearch62.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	6.04968350388119e-12	332.0989915236807
15.0ms	-4.838934157611567	-8.535928386587285e-5

Results

58.0ms

288×

body

256

valid

Compiler

Compiled 378 to 284 computations (24.9% saved)

regimes134.0ms (1.8%)

Counts

20 → 3

Calls

Call 1

Inputs
(/.f64 1 y)
(/.f64 (neg.f64 x) y)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) 3)
(*.f64 (/.f64 3 y) 1/3)
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 3 (*.f64 y 3))
(/.f64 (-.f64 1 x) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(*.f64 (-.f64 1 x) (/.f64 1 y))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 (/.f64 x 3) (/.f64 x y))
(*.f64 (/.f64 (-.f64 1 x) y) 1)
(/.f64 (.f64 1/3 (.f64 x x)) y)
(/.f64 (*.f64 x 1/3) (/.f64 y x))
(/.f64 (.f64 x x) (.f64 y 3))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)

Outputs
(*.f64 (/.f64 x 3) (/.f64 x y))
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
(*.f64 (/.f64 x 3) (/.f64 x y))

Calls

3 calls:

53.0ms	y
50.0ms	(*.f64 y 3)
27.0ms	x

Results

Error	Segments	Branch
1.4b	3	`x`
17.4b	4	`y`
17.4b	4	`(*.f64 y 3)`

Compiler

Compiled 134 to 81 computations (39.6% saved)

bsearch44.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	6.04968350388119e-12	332.0989915236807
27.0ms	-4.838934157611567	-8.535928386587285e-5

Results

41.0ms

288×

body

256

valid

Compiler

Compiled 378 to 284 computations (24.9% saved)

regimes138.0ms (1.9%)

Counts

19 → 3

Calls

Call 1

Inputs
(/.f64 1 y)
(/.f64 (neg.f64 x) y)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) 3)
(*.f64 (/.f64 3 y) 1/3)
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 3 (*.f64 y 3))
(/.f64 (-.f64 1 x) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(*.f64 (-.f64 1 x) (/.f64 1 y))
(.f64 (/.f64 1/3 y) (.f64 x x))
(*.f64 (/.f64 x 3) (/.f64 x y))
(*.f64 (/.f64 (-.f64 1 x) y) 1)
(/.f64 (.f64 1/3 (.f64 x x)) y)
(/.f64 (*.f64 x 1/3) (/.f64 y x))
(/.f64 (.f64 x x) (.f64 y 3))

Outputs
(*.f64 (/.f64 x 3) (/.f64 x y))
(*.f64 (-.f64 1 x) (/.f64 1 y))
(*.f64 (/.f64 x 3) (/.f64 x y))

Calls

3 calls:

62.0ms	y
46.0ms	(*.f64 y 3)
25.0ms	x

Results

Error	Segments	Branch
1.8b	3	`x`
17.5b	4	`y`
17.5b	4	`(*.f64 y 3)`

Compiler

Compiled 127 to 76 computations (40.2% saved)

bsearch36.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	6.04968350388119e-12	332.0989915236807
14.0ms	-4.838934157611567	-8.535928386587285e-5

Results

33.0ms

288×

body

256

valid

Compiler

Compiled 378 to 284 computations (24.9% saved)

regimes110.0ms (1.5%)

Counts

14 → 3

Calls

Call 1

Inputs
(/.f64 1 y)
(/.f64 (neg.f64 x) y)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) 3)
(*.f64 (/.f64 3 y) 1/3)
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 3 (*.f64 y 3))
(/.f64 (-.f64 1 x) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 (/.f64 x y) 1/3))
(*.f64 (-.f64 1 x) (/.f64 1 y))
(.f64 (/.f64 1/3 y) (.f64 x x))

Outputs
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(*.f64 (-.f64 1 x) (/.f64 1 y))
(.f64 x (.f64 (/.f64 x y) 1/3))

Calls

3 calls:

51.0ms	x
30.0ms	(*.f64 y 3)
26.0ms	y

Results

Error	Segments	Branch
1.8b	3	`x`
17.5b	4	`y`
17.5b	4	`(*.f64 y 3)`

Compiler

Compiled 92 to 59 computations (35.9% saved)

bsearch45.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	6.04968350388119e-12	332.0989915236807
15.0ms	-4.838934157611567	-8.535928386587285e-5

Results

41.0ms

288×

body

256

valid

Compiler

Compiled 378 to 284 computations (24.9% saved)

regimes74.0ms (1%)

Counts

12 → 3

Calls

Call 1

Inputs
(/.f64 1 y)
(/.f64 (neg.f64 x) y)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) 3)
(*.f64 (/.f64 3 y) 1/3)
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 3 (*.f64 y 3))
(/.f64 (-.f64 1 x) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))
(.f64 x (.f64 (/.f64 x y) 1/3))

Outputs
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(/.f64 (-.f64 1 x) y)
(.f64 x (.f64 (/.f64 x y) 1/3))

Calls

3 calls:

28.0ms	y
23.0ms	(*.f64 y 3)
20.0ms	x

Results

Error	Segments	Branch
1.8b	3	`x`
17.5b	4	`y`
17.5b	4	`(*.f64 y 3)`

Compiler

Compiled 78 to 51 computations (34.6% saved)

bsearch34.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	6.04968350388119e-12	332.0989915236807
14.0ms	-4.838934157611567	-8.535928386587285e-5

Results

27.0ms

288×

body

256

valid

Compiler

Compiled 342 to 248 computations (27.5% saved)

regimes70.0ms (0.9%)

Counts

11 → 3

Calls

Call 1

Inputs
(/.f64 1 y)
(/.f64 (neg.f64 x) y)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) 3)
(*.f64 (/.f64 3 y) 1/3)
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 3 (*.f64 y 3))
(/.f64 (-.f64 1 x) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 x (.f64 x (/.f64 1/3 y)))

Outputs
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(/.f64 (-.f64 1 x) y)
(.f64 x (.f64 x (/.f64 1/3 y)))

Calls

3 calls:

26.0ms	y
23.0ms	(*.f64 y 3)
18.0ms	x

Results

Error	Segments	Branch
1.8b	3	`x`
17.5b	4	`y`
17.5b	4	`(*.f64 y 3)`

Compiler

Compiled 71 to 48 computations (32.4% saved)

bsearch34.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	6.04968350388119e-12	332.0989915236807
15.0ms	-4.838934157611567	-8.535928386587285e-5

Results

30.0ms

288×

body

256

valid

Compiler

Compiled 342 to 248 computations (27.5% saved)

regimes61.0ms (0.8%)

Counts

10 → 3

Calls

Call 1

Inputs
(/.f64 1 y)
(/.f64 (neg.f64 x) y)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) 3)
(*.f64 (/.f64 3 y) 1/3)
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 3 (*.f64 y 3))
(/.f64 (-.f64 1 x) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 1/3 (/.f64 (.f64 x x) y))

Outputs
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(/.f64 (-.f64 1 x) y)
(*.f64 1/3 (/.f64 x (/.f64 y x)))

Calls

3 calls:

21.0ms	(*.f64 y 3)
20.0ms	y
17.0ms	x

Results

Error	Segments	Branch
1.8b	3	`x`
17.5b	4	`y`
17.5b	4	`(*.f64 y 3)`

Compiler

Compiled 64 to 44 computations (31.3% saved)

bsearch52.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	6.04968350388119e-12	332.0989915236807
14.0ms	-4.838934157611567	-8.535928386587285e-5

Results

48.0ms

288×

body

256

valid

Compiler

Compiled 342 to 248 computations (27.5% saved)

regimes23.0ms (0.3%)

Accuracy

Total -40.4b remaining (-194%)

Threshold costs -40.4b (-194%)

Counts

8 → 1

Calls

Call 1

Inputs
(/.f64 1 y)
(/.f64 (neg.f64 x) y)
(*.f64 -4/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) 3)
(*.f64 (/.f64 3 y) 1/3)
(/.f64 1/3 (*.f64 y 1/3))
(/.f64 3 (*.f64 y 3))
(/.f64 (-.f64 1 x) y)

Outputs
(/.f64 1 y)

Calls

3 calls:

9.0ms	x
7.0ms	(*.f64 y 3)
5.0ms	y

Results

Error	Segments	Branch
20.8b	1	`x`
20.8b	1	`y`
20.8b	1	`(*.f64 y 3)`

Compiler

Compiled 50 to 36 computations (28% saved)

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

115×	`distribute-rgt-neg-in_binary64`
91×	`distribute-lft-neg-out_binary64`
80×	`cancel-sign-sub-inv_binary64`
73×	`neg-sub0_binary64`
73×	`neg-mul-1_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	64	389
1	88	389
2	102	389
3	114	389
4	122	389
5	132	385
6	147	385
7	179	385
8	269	385
9	388	385
10	482	385
11	565	385
12	616	385
13	648	385
14	688	385
15	720	385
16	745	385
17	765	385
18	796	385
19	830	385
20	862	385
21	879	385
22	883	385

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))
(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
(if (<=.f64 x -2476979795053773/1125899906842624) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 3 x) 3)) (if (<=.f64 x 5854679515581645/4503599627370496) (/.f64 (+.f64 1 (.f64 -4/3 x)) y) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 3 x) 3))))
(if (<=.f64 x -2589569785738035/562949953421312) (/.f64 (/.f64 x 3) (/.f64 y x)) (if (<=.f64 x 5764607523034235/9007199254740992) (/.f64 (+.f64 1 (.f64 -4/3 x)) y) (.f64 (/.f64 x 3) (/.f64 x y))))
(if (<=.f64 x -2589569785738035/562949953421312) (.f64 (/.f64 x 3) (/.f64 x y)) (if (<=.f64 x 5764607523034235/9007199254740992) (/.f64 (+.f64 1 (.f64 -4/3 x)) y) (*.f64 (/.f64 x 3) (/.f64 x y))))
(if (<=.f64 x -4278419646001971/1125899906842624) (.f64 (/.f64 x 3) (/.f64 x y)) (if (<=.f64 x 3) (.f64 (-.f64 1 x) (/.f64 1 y)) (*.f64 (/.f64 x 3) (/.f64 x y))))
(if (<=.f64 x -4278419646001971/1125899906842624) (.f64 1/3 (/.f64 x (/.f64 y x))) (if (<=.f64 x 3) (.f64 (-.f64 1 x) (/.f64 1 y)) (.f64 x (.f64 (/.f64 x y) 1/3))))
(if (<=.f64 x -4278419646001971/1125899906842624) (.f64 1/3 (/.f64 x (/.f64 y x))) (if (<=.f64 x 3) (/.f64 (-.f64 1 x) y) (.f64 x (*.f64 (/.f64 x y) 1/3))))
(if (<=.f64 x -4278419646001971/1125899906842624) (.f64 1/3 (/.f64 x (/.f64 y x))) (if (<=.f64 x 3) (/.f64 (-.f64 1 x) y) (.f64 x (*.f64 x (/.f64 1/3 y)))))
(if (<=.f64 x -4278419646001971/1125899906842624) (.f64 1/3 (/.f64 x (/.f64 y x))) (if (<=.f64 x 3) (/.f64 (-.f64 1 x) y) (.f64 1/3 (/.f64 x (/.f64 y x)))))
(/.f64 1 y)

Outputs
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
(*.f64 (/.f64 (+.f64 x -3) 3) (/.f64 (+.f64 x -1) y))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))
(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
(if (<=.f64 x -2476979795053773/1125899906842624) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 3 x) 3)) (if (<=.f64 x 5854679515581645/4503599627370496) (/.f64 (+.f64 1 (.f64 -4/3 x)) y) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 3 x) 3))))
(if (<=.f64 x -2476979795053773/1125899906842624) (.f64 (/.f64 (-.f64 3 x) 3) (/.f64 (neg.f64 x) y)) (if (<=.f64 x 5854679515581645/4503599627370496) (/.f64 (+.f64 1 (.f64 x -4/3)) y) (*.f64 (/.f64 (-.f64 3 x) 3) (/.f64 (neg.f64 x) y))))
(if (<=.f64 x -2476979795053773/1125899906842624) (.f64 (/.f64 x y) (/.f64 (+.f64 x -3) 3)) (if (<=.f64 x 5854679515581645/4503599627370496) (/.f64 (+.f64 1 (.f64 x -4/3)) y) (*.f64 (/.f64 x y) (/.f64 (+.f64 x -3) 3))))
(if (<=.f64 x -2589569785738035/562949953421312) (/.f64 (/.f64 x 3) (/.f64 y x)) (if (<=.f64 x 5764607523034235/9007199254740992) (/.f64 (+.f64 1 (.f64 -4/3 x)) y) (.f64 (/.f64 x 3) (/.f64 x y))))
(if (<=.f64 x -2589569785738035/562949953421312) (/.f64 (/.f64 x 3) (/.f64 y x)) (if (<=.f64 x 5764607523034235/9007199254740992) (/.f64 (+.f64 1 (.f64 x -4/3)) y) (.f64 (/.f64 x 3) (/.f64 x y))))
(if (<=.f64 x -2589569785738035/562949953421312) (.f64 (/.f64 x 3) (/.f64 x y)) (if (<=.f64 x 5764607523034235/9007199254740992) (/.f64 (+.f64 1 (.f64 -4/3 x)) y) (*.f64 (/.f64 x 3) (/.f64 x y))))
(if (<=.f64 x -2589569785738035/562949953421312) (.f64 (/.f64 x 3) (/.f64 x y)) (if (<=.f64 x 5764607523034235/9007199254740992) (/.f64 (+.f64 1 (.f64 x -4/3)) y) (*.f64 (/.f64 x 3) (/.f64 x y))))
(if (<=.f64 x -4278419646001971/1125899906842624) (.f64 (/.f64 x 3) (/.f64 x y)) (if (<=.f64 x 3) (.f64 (-.f64 1 x) (/.f64 1 y)) (*.f64 (/.f64 x 3) (/.f64 x y))))
(if (<=.f64 x -4278419646001971/1125899906842624) (.f64 1/3 (/.f64 x (/.f64 y x))) (if (<=.f64 x 3) (.f64 (-.f64 1 x) (/.f64 1 y)) (.f64 x (.f64 (/.f64 x y) 1/3))))
(if (<=.f64 x -4278419646001971/1125899906842624) (.f64 1/3 (/.f64 x (/.f64 y x))) (if (<=.f64 x 3) (.f64 (-.f64 1 x) (/.f64 1 y)) (.f64 x (.f64 1/3 (/.f64 x y)))))
(if (<=.f64 x -4278419646001971/1125899906842624) (.f64 1/3 (/.f64 x (/.f64 y x))) (if (<=.f64 x 3) (/.f64 (-.f64 1 x) y) (.f64 x (*.f64 (/.f64 x y) 1/3))))
(if (<=.f64 x -4278419646001971/1125899906842624) (.f64 1/3 (/.f64 x (/.f64 y x))) (if (<=.f64 x 3) (/.f64 (-.f64 1 x) y) (.f64 x (*.f64 1/3 (/.f64 x y)))))
(if (<=.f64 x -4278419646001971/1125899906842624) (.f64 1/3 (/.f64 x (/.f64 y x))) (if (<=.f64 x 3) (/.f64 (-.f64 1 x) y) (.f64 x (*.f64 x (/.f64 1/3 y)))))
(if (<=.f64 x -4278419646001971/1125899906842624) (.f64 1/3 (/.f64 x (/.f64 y x))) (if (<=.f64 x 3) (/.f64 (-.f64 1 x) y) (.f64 1/3 (/.f64 x (/.f64 y x)))))
(/.f64 1 y)

Compiler

Compiled 290 to 195 computations (32.8% saved)

soundness102.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

420×	`unsub-neg_binary64`
339×	`associate-/l*_binary64`
308×	`fma-def_binary64`
306×	`fma-neg_binary64`
295×	`associate-*l/_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	24	16
2	71	16
3	204	16
4	732	16
5	3323	14
6	7935	14

Stop Event

1×	node limit

Compiler

Compiled 26 to 20 computations (23.1% saved)

end141.0ms (1.9%)

Compiler: Compiled 268 to 161 computations (39.9% saved)

Iter	Nodes	Cost
0	64	389
1	88	389
2	102	389
3	114	389
4	122	389
5	132	385
6	147	385
7	179	385
8	269	385
9	388	385
10	482	385
11	565	385
12	616	385
13	648	385
14	688	385
15	720	385
16	745	385
17	765	385
18	796	385
19	830	385
20	862	385
21	879	385
22	883	385

Iter	Nodes	Cost
0	64	389
1	88	389
2	102	389
3	114	389
4	122	389
5	132	385
6	147	385
7	179	385
8	269	385
9	388	385
10	482	385
11	565	385
12	616	385
13	648	385
14	688	385
15	720	385
16	745	385
17	765	385
18	796	385
19	830	385
20	862	385
21	879	385
22	883	385

Iter	Nodes	Cost
0	64	389
1	88	389
2	102	389
3	114	389
4	122	389
5	132	385
6	147	385
7	179	385
8	269	385
9	388	385
10	482	385
11	565	385
12	616	385
13	648	385
14	688	385
15	720	385
16	745	385
17	765	385
18	796	385
19	830	385
20	862	385
21	879	385
22	883	385