Details

analyze145.0ms (6.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
56.2%	37.5%	6.3%	8
62.4%	25.8%	11.8%	9
65.6%	20.3%	14.1%	10
68.7%	13.5%	17.9%	11
70.2%	10.5%	19.2%	12
71.8%	6.9%	21.3%	13
72.6%	5.4%	22%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample858.0ms (36%)

Results

814.0ms	8256×	body	128	valid
31.0ms	329×	body	128	invalid

Compiler

Compiled 28 to 22 computations (21.4% saved)

preprocess25.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

620×	`fma-def_binary64`
514×	`distribute-rgt-in_binary64`
475×	`distribute-lft-in_binary64`
190×	`div-sub_binary64`
178×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	41	32
2	133	32
3	395	32
4	1406	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 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))
(.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (.f64 3 y)))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1/3 (/.f64 x 3)) y))
(/.f64 (-.f64 3 x) (/.f64 (*.f64 3 y) (-.f64 1 x)))
(/.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 1 y) x) (-.f64 1 (/.f64 y 3)))
(/.f64 (-.f64 1 y) (*.f64 (/.f64 x (-.f64 3 y)) 3))
(.f64 (-.f64 1 y) (.f64 (-.f64 3 y) (/.f64 1/3 x)))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify23.0ms (1%)

Algorithm

1×	egg-herbie

Rules

417×	`unsub-neg_binary64`
308×	`fma-def_binary64`
306×	`fma-neg_binary64`
269×	`times-frac_binary64`
261×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	24	16
2	71	16
3	204	16
4	733	16
5	3250	16

Stop Event

1×	node limit

Counts

1 → 2

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

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.4b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
	5.0b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

Compiler

Compiled 76 to 58 computations (23.7% saved)

localize6.0ms (0.3%)

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)

series11.0ms (0.5%)

Counts

3 → 48

Calls

15 calls:

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

rewrite69.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

214×	`expm1-udef_binary64`
213×	`log1p-udef_binary64`
194×	`prod-diff_binary64`
179×	`fma-def_binary64`
166×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	243	30
2	3173	30

Stop Event

1×	node limit

Counts

3 → 137

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

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

simplify34.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

479×	`distribute-rgt-in_binary64`
453×	`cancel-sign-sub-inv_binary64`
402×	`fma-neg_binary64`
234×	`fma-def_binary64`
156×	`unsub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	717
1	127	685
2	289	521
3	742	474
4	2423	464

Stop Event

1×	node limit

Counts

185 → 157

Calls

Call 1

Inputs
(/.f64 1 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 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 (-.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 -1 (/.f64 (-.f64 (.f64 1/3 x) 1) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/3 x) 1) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/3 x) 1) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/3 x) 1) y))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (*.f64 4/3 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (.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 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (.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 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (.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 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))

Outputs
(/.f64 1 y)
(-.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 x y)))
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(-.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 x y)))
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(-.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 x y)))
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 -1/3 (/.f64 x y))
(*.f64 (/.f64 x y) -1/3)
(*.f64 x (/.f64 -1/3 y))
(-.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 x y)))
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(-.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 x y)))
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(-.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 x y)))
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 -1/3 (/.f64 x y))
(*.f64 (/.f64 x y) -1/3)
(*.f64 x (/.f64 -1/3 y))
(-.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 x y)))
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(-.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 x y)))
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(-.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 x y)))
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(/.f64 (fma.f64 x -1/3 1) y)
(/.f64 (-.f64 1 (*.f64 1/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(/.f64 (-.f64 1 (*.f64 1/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(/.f64 (-.f64 1 (*.f64 1/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(/.f64 (-.f64 1 (*.f64 1/3 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 1/3 x) 1) y))
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 1/3 x) 1) y))
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 1/3 x) 1) y))
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 1/3 x) 1) y))
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(*.f64 1/3 (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x -1/3 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 (/.f64 x y) -4/3))
(-.f64 0 (/.f64 (fma.f64 x 4/3 -1) y))
(neg.f64 (/.f64 (fma.f64 x 4/3 -1) y))
(/.f64 (fma.f64 x -4/3 1) y)
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)) (*.f64 (/.f64 x y) -4/3))
(/.f64 (fma.f64 x -4/3 (fma.f64 1/3 (*.f64 x x) 1)) y)
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y)
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)) (*.f64 (/.f64 x y) -4/3))
(/.f64 (fma.f64 x -4/3 (fma.f64 1/3 (*.f64 x x) 1)) y)
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 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 y) (.f64 x x))
(.f64 (/.f64 x y) (.f64 1/3 x))
(-.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 4/3 (/.f64 x y)))
(+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3))
(fma.f64 (/.f64 x y) -4/3 (.f64 (/.f64 1/3 y) (.f64 x x)))
(neg.f64 (/.f64 x (/.f64 y (+.f64 4/3 (*.f64 x -1/3)))))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)) (*.f64 (/.f64 x y) -4/3))
(/.f64 (fma.f64 x -4/3 (fma.f64 1/3 (*.f64 x x) 1)) y)
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y)
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)) (*.f64 (/.f64 x y) -4/3))
(/.f64 (fma.f64 x -4/3 (fma.f64 1/3 (*.f64 x x) 1)) y)
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 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 y) (.f64 x x))
(.f64 (/.f64 x y) (.f64 1/3 x))
(-.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 4/3 (/.f64 x y)))
(+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3))
(fma.f64 (/.f64 x y) -4/3 (.f64 (/.f64 1/3 y) (.f64 x x)))
(neg.f64 (/.f64 x (/.f64 y (+.f64 4/3 (*.f64 x -1/3)))))
(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)) (*.f64 (/.f64 x y) -4/3))
(/.f64 (fma.f64 x -4/3 (fma.f64 1/3 (*.f64 x x) 1)) y)
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y)
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)) (*.f64 (/.f64 x y) -4/3))
(/.f64 (fma.f64 x -4/3 (fma.f64 1/3 (*.f64 x x) 1)) y)
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y)
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(.f64 1/3 (.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(.f64 1/3 (.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(.f64 1/3 (.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(.f64 1/3 (.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1))
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3))
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)) (*.f64 (/.f64 x y) -4/3))
(/.f64 (fma.f64 x -4/3 (fma.f64 1/3 (*.f64 x x) 1)) y)
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y)
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)) (*.f64 (/.f64 x y) -4/3))
(/.f64 (fma.f64 x -4/3 (fma.f64 1/3 (*.f64 x x) 1)) y)
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y)
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)) (*.f64 (/.f64 x y) -4/3))
(/.f64 (fma.f64 x -4/3 (fma.f64 1/3 (*.f64 x x) 1)) y)
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y)
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)) (*.f64 (/.f64 x y) -4/3))
(/.f64 (fma.f64 x -4/3 (fma.f64 1/3 (*.f64 x x) 1)) y)
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)) (*.f64 (/.f64 x y) -4/3))
(/.f64 (fma.f64 x -4/3 (fma.f64 1/3 (*.f64 x x) 1)) y)
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)) (*.f64 (/.f64 x y) -4/3))
(/.f64 (fma.f64 x -4/3 (fma.f64 1/3 (*.f64 x x) 1)) y)
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)) (*.f64 (/.f64 x y) -4/3))
(/.f64 (fma.f64 x -4/3 (fma.f64 1/3 (*.f64 x x) 1)) y)
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)) (*.f64 (/.f64 x y) -4/3))
(/.f64 (fma.f64 x -4/3 (fma.f64 1/3 (*.f64 x x) 1)) y)
(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y)

prune104.0ms (4.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	153	4	157
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	154	5	159

Error

0.0b

Counts

159 → 5

Alt Table

Status	Error	Program
▶	0.2b	(.f64 (-.f64 1 x) (/.f64 1 (/.f64 y (.f64 1/3 (-.f64 3 x)))))
	0.3b	(.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (.f64 y 3)))
	38.5b	(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
	5.0b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
	4.9b	(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y)

Compiler

Compiled 2711 to 1956 computations (27.8% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series10.0ms (0.4%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(*.f64 1/3 (-.f64 3 x))
1.0ms	x	@	inf	(/.f64 y (*.f64 1/3 (-.f64 3 x)))
1.0ms	y	@	0	(/.f64 y (*.f64 1/3 (-.f64 3 x)))
1.0ms	x	@	0	(/.f64 y (*.f64 1/3 (-.f64 3 x)))
1.0ms	y	@	inf	(/.f64 y (*.f64 1/3 (-.f64 3 x)))

rewrite81.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

234×	`expm1-udef_binary64`
233×	`log1p-udef_binary64`
212×	`prod-diff_binary64`
202×	`fma-def_binary64`
138×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	271	43
2	3693	43

Stop Event

1×	node limit

Counts

4 → 248

Calls

Call 1

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

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

simplify52.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

317×	`fma-neg_binary64`
274×	`cancel-sign-sub-inv_binary64`
256×	`fma-def_binary64`
227×	`associate-/l*_binary64`
220×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1156
1	249	1122
2	643	910
3	1971	872

Stop Event

1×	node limit

Counts

332 → 287

Calls

Call 1

Inputs
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 4/3 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (.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 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (.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 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (.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 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
(*.f64 3 (/.f64 y (-.f64 3 x)))
y
(+.f64 (.f64 1/3 (.f64 y x)) y)
(+.f64 (.f64 1/3 (.f64 y x)) (+.f64 y (.f64 1/9 (.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 1/3 (.f64 y x)) (+.f64 y (+.f64 (.f64 1/9 (.f64 y (pow.f64 x 2))) (.f64 1/27 (.f64 y (pow.f64 x 3))))))
(*.f64 -3 (/.f64 y x))
(neg.f64 (+.f64 (.f64 3 (/.f64 y x)) (.f64 9 (/.f64 y (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 3 (/.f64 y x)) (+.f64 (.f64 27 (/.f64 y (pow.f64 x 3))) (*.f64 9 (/.f64 y (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 3 (/.f64 y x)) (+.f64 (.f64 27 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 9 (/.f64 y (pow.f64 x 2))) (.f64 81 (/.f64 y (pow.f64 x 4)))))))
(*.f64 -3 (/.f64 y x))
(neg.f64 (+.f64 (.f64 3 (/.f64 y x)) (.f64 9 (/.f64 y (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 3 (/.f64 y x)) (+.f64 (.f64 27 (/.f64 y (pow.f64 x 3))) (*.f64 9 (/.f64 y (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 3 (/.f64 y x)) (+.f64 (.f64 27 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 9 (/.f64 y (pow.f64 x 2))) (.f64 81 (/.f64 y (pow.f64 x 4)))))))
(*.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 (-.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 -1 (/.f64 (-.f64 (.f64 1/3 x) 1) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/3 x) 1) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/3 x) 1) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/3 x) 1) y))
(/.f64 1 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 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)))

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

prune197.0ms (8.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	284	3	287
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	287	5	292

Error

Counts

292 → 5

Alt Table

Status	Error	Program
	0.2b	(/.f64 1 (/.f64 (*.f64 3 (/.f64 y (-.f64 3 x))) (-.f64 1 x)))
▶	0.2b	(.f64 (-.f64 1 x) (/.f64 (-.f64 1 (.f64 1/3 x)) y))
	38.5b	(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
	4.9b	(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y)
	0.2b	(/.f64 (-.f64 1 x) (*.f64 3 (/.f64 y (-.f64 3 x))))

Compiler

Compiled 5580 to 4078 computations (26.9% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series10.0ms (0.4%)

Counts

3 → 40

Calls

15 calls:

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

rewrite68.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`prod-diff_binary64`
201×	`expm1-udef_binary64`
199×	`log1p-udef_binary64`
116×	`add-sqr-sqrt_binary64`
111×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	226	30
2	3194	30

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

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

Outputs

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

simplify33.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

503×	`cancel-sign-sub-inv_binary64`
478×	`fma-neg_binary64`
367×	`distribute-rgt-in_binary64`
258×	`distribute-lft-in_binary64`
216×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	676
1	111	644
2	258	457
3	695	410
4	2357	400

Stop Event

1×	node limit

Counts

184 → 161

Calls

Call 1

Inputs
(/.f64 1 y)
(-.f64 (/.f64 1 y) (*.f64 4/3 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (.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 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (.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 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (.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 (pow.f64 x 2))) (.f64 4/3 x)) y)
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(/.f64 1 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 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 (/.f64 (-.f64 (.f64 1/3 x) 1) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/3 x) 1) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/3 x) 1) y))
(.f64 -1 (/.f64 (-.f64 (.f64 1/3 x) 1) y))

Outputs
(/.f64 1 y)
(-.f64 (/.f64 1 y) (*.f64 4/3 (/.f64 x y)))
(-.f64 0 (/.f64 (fma.f64 4/3 x -1) y))
(neg.f64 (/.f64 (fma.f64 4/3 x -1) y))
(/.f64 (fma.f64 x -4/3 1) y)
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 x 1/3) 1)) y)
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 x 1/3) 1)) y)
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 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 y) (.f64 x x))
(.f64 (/.f64 x y) (.f64 x 1/3))
(-.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 4/3 (/.f64 x y)))
(+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3))
(fma.f64 (/.f64 x y) -4/3 (.f64 (/.f64 1/3 y) (.f64 x x)))
(neg.f64 (/.f64 x (/.f64 y (+.f64 4/3 (*.f64 x -1/3)))))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 x 1/3) 1)) y)
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 x 1/3) 1)) y)
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 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 y) (.f64 x x))
(.f64 (/.f64 x y) (.f64 x 1/3))
(-.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 4/3 (/.f64 x y)))
(+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3))
(fma.f64 (/.f64 x y) -4/3 (.f64 (/.f64 1/3 y) (.f64 x x)))
(neg.f64 (/.f64 x (/.f64 y (+.f64 4/3 (*.f64 x -1/3)))))
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3))
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 x 1/3) 1)) y)
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 x 1/3) 1)) y)
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(/.f64 (.f64 (-.f64 1 (.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(/.f64 (+.f64 1 (*.f64 x -1/3)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(/.f64 (.f64 (-.f64 1 (.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(/.f64 (+.f64 1 (*.f64 x -1/3)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(/.f64 (.f64 (-.f64 1 (.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(/.f64 (+.f64 1 (*.f64 x -1/3)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(/.f64 (.f64 (-.f64 1 (.f64 1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(/.f64 (+.f64 1 (*.f64 x -1/3)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 x 1/3) 1)) y)
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 x 1/3) 1)) y)
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 x 1/3) 1)) y)
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 x 1/3) 1)) y)
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 x 1/3) 1)) y)
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 x 1/3) 1)) y)
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 x 1/3) 1)) y)
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 x 1/3) 1)) y)
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
(/.f64 1 y)
(-.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 x y)))
(-.f64 (/.f64 1 y) (*.f64 (/.f64 x y) 1/3))
(/.f64 (fma.f64 x -1/3 1) y)
(-.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 x y)))
(-.f64 (/.f64 1 y) (*.f64 (/.f64 x y) 1/3))
(/.f64 (fma.f64 x -1/3 1) y)
(-.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 x y)))
(-.f64 (/.f64 1 y) (*.f64 (/.f64 x y) 1/3))
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 -1/3 (/.f64 x y))
(*.f64 (/.f64 x y) -1/3)
(*.f64 x (/.f64 -1/3 y))
(-.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 x y)))
(-.f64 (/.f64 1 y) (*.f64 (/.f64 x y) 1/3))
(/.f64 (fma.f64 x -1/3 1) y)
(-.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 x y)))
(-.f64 (/.f64 1 y) (*.f64 (/.f64 x y) 1/3))
(/.f64 (fma.f64 x -1/3 1) y)
(-.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 x y)))
(-.f64 (/.f64 1 y) (*.f64 (/.f64 x y) 1/3))
(/.f64 (fma.f64 x -1/3 1) y)
(*.f64 -1/3 (/.f64 x y))
(*.f64 (/.f64 x y) -1/3)
(*.f64 x (/.f64 -1/3 y))
(-.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 x y)))
(-.f64 (/.f64 1 y) (*.f64 (/.f64 x y) 1/3))
(/.f64 (fma.f64 x -1/3 1) y)
(-.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 x y)))
(-.f64 (/.f64 1 y) (*.f64 (/.f64 x y) 1/3))
(/.f64 (fma.f64 x -1/3 1) y)
(-.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 x y)))
(-.f64 (/.f64 1 y) (*.f64 (/.f64 x y) 1/3))
(/.f64 (fma.f64 x -1/3 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 1/3 x) 1) y))
(-.f64 (/.f64 1 y) (*.f64 (/.f64 x y) 1/3))
(/.f64 (fma.f64 x -1/3 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 1/3 x) 1) y))
(-.f64 (/.f64 1 y) (*.f64 (/.f64 x y) 1/3))
(/.f64 (fma.f64 x -1/3 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 1/3 x) 1) y))
(-.f64 (/.f64 1 y) (*.f64 (/.f64 x y) 1/3))
(/.f64 (fma.f64 x -1/3 1) y)
(.f64 -1 (/.f64 (-.f64 (.f64 1/3 x) 1) y))
(-.f64 (/.f64 1 y) (*.f64 (/.f64 x y) 1/3))
(/.f64 (fma.f64 x -1/3 1) y)

prune113.0ms (4.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	161	5	166

Error

Counts

166 → 5

Alt Table

Status	Error	Program
	0.2b	(/.f64 1 (/.f64 (*.f64 3 (/.f64 y (-.f64 3 x))) (-.f64 1 x)))
✓	0.2b	(.f64 (-.f64 1 x) (/.f64 (-.f64 1 (.f64 1/3 x)) y))
	38.5b	(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
	4.9b	(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y)
▶	0.2b	(/.f64 (-.f64 1 x) (*.f64 3 (/.f64 y (-.f64 3 x))))

Compiler

Compiled 4416 to 2964 computations (32.9% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 y (-.f64 3 x))
✓	0.1b	(/.f64 (-.f64 1 x) (*.f64 3 (/.f64 y (-.f64 3 x))))
✓	0.2b	(*.f64 3 (/.f64 y (-.f64 3 x)))

series6.0ms (0.2%)

Counts

3 → 48

Calls

18 calls:

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

rewrite89.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

324×	`prod-diff_binary64`
210×	`expm1-udef_binary64`
209×	`log1p-udef_binary64`
135×	`fma-def_binary64`
117×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	229	33
2	3337	33

Stop Event

1×	node limit

Counts

3 → 171

Calls

Call 1

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

Outputs

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

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

simplify41.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

468×	`fma-neg_binary64`
459×	`fma-def_binary64`
438×	`cancel-sign-sub-inv_binary64`
357×	`times-frac_binary64`
154×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	983
1	285	945
2	829	772
3	2811	737

Stop Event

1×	node limit

Counts

219 → 215

Calls

Call 1

Inputs
y
(+.f64 (.f64 1/3 (.f64 y x)) y)
(+.f64 (.f64 1/3 (.f64 y x)) (+.f64 y (.f64 1/9 (.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 1/3 (.f64 y x)) (+.f64 y (+.f64 (.f64 1/9 (.f64 y (pow.f64 x 2))) (.f64 1/27 (.f64 y (pow.f64 x 3))))))
(*.f64 -3 (/.f64 y x))
(neg.f64 (+.f64 (.f64 3 (/.f64 y x)) (.f64 9 (/.f64 y (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 3 (/.f64 y x)) (+.f64 (.f64 27 (/.f64 y (pow.f64 x 3))) (*.f64 9 (/.f64 y (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 3 (/.f64 y x)) (+.f64 (.f64 27 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 9 (/.f64 y (pow.f64 x 2))) (.f64 81 (/.f64 y (pow.f64 x 4)))))))
(*.f64 -3 (/.f64 y x))
(neg.f64 (+.f64 (.f64 3 (/.f64 y x)) (.f64 9 (/.f64 y (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 3 (/.f64 y x)) (+.f64 (.f64 27 (/.f64 y (pow.f64 x 3))) (*.f64 9 (/.f64 y (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 3 (/.f64 y x)) (+.f64 (.f64 27 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 9 (/.f64 y (pow.f64 x 2))) (.f64 81 (/.f64 y (pow.f64 x 4)))))))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (*.f64 4/3 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (.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 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (.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 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 1 y) (.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 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(*.f64 1/3 y)
(+.f64 (.f64 1/9 (.f64 y x)) (*.f64 1/3 y))
(+.f64 (.f64 1/9 (.f64 y x)) (+.f64 (.f64 1/3 y) (.f64 1/27 (*.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 1/9 (.f64 y x)) (+.f64 (.f64 1/3 y) (+.f64 (.f64 1/27 (.f64 y (pow.f64 x 2))) (.f64 1/81 (*.f64 y (pow.f64 x 3))))))
(*.f64 -1 (/.f64 y x))
(neg.f64 (+.f64 (/.f64 y x) (*.f64 3 (/.f64 y (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 y x) (+.f64 (.f64 9 (/.f64 y (pow.f64 x 3))) (.f64 3 (/.f64 y (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 y x) (+.f64 (.f64 9 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 3 (/.f64 y (pow.f64 x 2))) (*.f64 27 (/.f64 y (pow.f64 x 4)))))))
(*.f64 -1 (/.f64 y x))
(neg.f64 (+.f64 (/.f64 y x) (*.f64 3 (/.f64 y (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 y x) (+.f64 (.f64 9 (/.f64 y (pow.f64 x 3))) (.f64 3 (/.f64 y (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 y x) (+.f64 (.f64 9 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 3 (/.f64 y (pow.f64 x 2))) (*.f64 27 (/.f64 y (pow.f64 x 4)))))))

Outputs
y
(+.f64 (.f64 1/3 (.f64 y x)) y)
(fma.f64 1/3 (*.f64 y x) y)
(fma.f64 y (*.f64 1/3 x) y)
(+.f64 (.f64 1/3 (.f64 y x)) (+.f64 y (.f64 1/9 (.f64 y (pow.f64 x 2)))))
(+.f64 (fma.f64 1/3 (.f64 y x) y) (.f64 (.f64 1/9 y) (.f64 x x)))
(fma.f64 1/3 (.f64 y x) (fma.f64 1/9 (.f64 y (*.f64 x x)) y))
(+.f64 y (.f64 x (.f64 y (+.f64 1/3 (*.f64 x 1/9)))))
(+.f64 y (.f64 x (.f64 y (+.f64 (*.f64 x 1/9) 1/3))))
(+.f64 (.f64 1/3 (.f64 y x)) (+.f64 y (+.f64 (.f64 1/9 (.f64 y (pow.f64 x 2))) (.f64 1/27 (.f64 y (pow.f64 x 3))))))
(+.f64 (fma.f64 1/3 (.f64 y x) y) (fma.f64 1/9 (.f64 y (.f64 x x)) (.f64 (*.f64 1/27 y) (pow.f64 x 3))))
(+.f64 (fma.f64 1/9 (.f64 y (.f64 x x)) (.f64 y (.f64 (pow.f64 x 3) 1/27))) (fma.f64 1/3 (*.f64 y x) y))
(+.f64 (.f64 x (.f64 y (+.f64 1/3 (.f64 x 1/9)))) (fma.f64 (pow.f64 x 3) (.f64 y 1/27) y))
(+.f64 (.f64 x (.f64 y (+.f64 (.f64 x 1/9) 1/3))) (fma.f64 1/27 (.f64 y (pow.f64 x 3)) y))
(*.f64 -3 (/.f64 y x))
(/.f64 -3 (/.f64 x y))
(*.f64 (/.f64 -3 x) y)
(neg.f64 (+.f64 (.f64 3 (/.f64 y x)) (.f64 9 (/.f64 y (pow.f64 x 2)))))
(neg.f64 (fma.f64 3 (/.f64 y x) (/.f64 (.f64 9 y) (.f64 x x))))
(+.f64 (/.f64 -3 (/.f64 x y)) (.f64 (/.f64 y (.f64 x x)) -9))
(*.f64 (/.f64 y x) (-.f64 -3 (/.f64 9 x)))
(*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)))
(neg.f64 (+.f64 (.f64 3 (/.f64 y x)) (+.f64 (.f64 27 (/.f64 y (pow.f64 x 3))) (*.f64 9 (/.f64 y (pow.f64 x 2))))))
(neg.f64 (fma.f64 3 (/.f64 y x) (fma.f64 27 (/.f64 y (pow.f64 x 3)) (/.f64 (.f64 9 y) (.f64 x x)))))
(-.f64 (/.f64 -3 (/.f64 x y)) (fma.f64 9 (/.f64 y (.f64 x x)) (.f64 27 (/.f64 y (pow.f64 x 3)))))
(+.f64 (.f64 (/.f64 y x) (-.f64 -3 (/.f64 9 x))) (.f64 (/.f64 y (pow.f64 x 3)) -27))
(fma.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)) (*.f64 (/.f64 y (pow.f64 x 3)) -27))
(neg.f64 (+.f64 (.f64 3 (/.f64 y x)) (+.f64 (.f64 27 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 9 (/.f64 y (pow.f64 x 2))) (.f64 81 (/.f64 y (pow.f64 x 4)))))))
(neg.f64 (fma.f64 3 (/.f64 y x) (fma.f64 27 (/.f64 y (pow.f64 x 3)) (fma.f64 9 (/.f64 y (.f64 x x)) (/.f64 (.f64 81 y) (pow.f64 x 4))))))
(-.f64 (/.f64 -3 (/.f64 x y)) (fma.f64 27 (/.f64 y (pow.f64 x 3)) (fma.f64 9 (/.f64 y (.f64 x x)) (.f64 81 (/.f64 y (pow.f64 x 4))))))
(-.f64 (.f64 (/.f64 y x) (-.f64 -3 (/.f64 9 x))) (fma.f64 27 (/.f64 y (pow.f64 x 3)) (.f64 81 (/.f64 y (pow.f64 x 4)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 (/.f64 y (pow.f64 x 4)) -81 (*.f64 (/.f64 (/.f64 y x) x) (-.f64 -9 (/.f64 27 x)))))
(*.f64 -3 (/.f64 y x))
(/.f64 -3 (/.f64 x y))
(*.f64 (/.f64 -3 x) y)
(neg.f64 (+.f64 (.f64 3 (/.f64 y x)) (.f64 9 (/.f64 y (pow.f64 x 2)))))
(neg.f64 (fma.f64 3 (/.f64 y x) (/.f64 (.f64 9 y) (.f64 x x))))
(+.f64 (/.f64 -3 (/.f64 x y)) (.f64 (/.f64 y (.f64 x x)) -9))
(*.f64 (/.f64 y x) (-.f64 -3 (/.f64 9 x)))
(*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)))
(neg.f64 (+.f64 (.f64 3 (/.f64 y x)) (+.f64 (.f64 27 (/.f64 y (pow.f64 x 3))) (*.f64 9 (/.f64 y (pow.f64 x 2))))))
(neg.f64 (fma.f64 3 (/.f64 y x) (fma.f64 27 (/.f64 y (pow.f64 x 3)) (/.f64 (.f64 9 y) (.f64 x x)))))
(-.f64 (/.f64 -3 (/.f64 x y)) (fma.f64 9 (/.f64 y (.f64 x x)) (.f64 27 (/.f64 y (pow.f64 x 3)))))
(+.f64 (.f64 (/.f64 y x) (-.f64 -3 (/.f64 9 x))) (.f64 (/.f64 y (pow.f64 x 3)) -27))
(fma.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)) (*.f64 (/.f64 y (pow.f64 x 3)) -27))
(neg.f64 (+.f64 (.f64 3 (/.f64 y x)) (+.f64 (.f64 27 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 9 (/.f64 y (pow.f64 x 2))) (.f64 81 (/.f64 y (pow.f64 x 4)))))))
(neg.f64 (fma.f64 3 (/.f64 y x) (fma.f64 27 (/.f64 y (pow.f64 x 3)) (fma.f64 9 (/.f64 y (.f64 x x)) (/.f64 (.f64 81 y) (pow.f64 x 4))))))
(-.f64 (/.f64 -3 (/.f64 x y)) (fma.f64 27 (/.f64 y (pow.f64 x 3)) (fma.f64 9 (/.f64 y (.f64 x x)) (.f64 81 (/.f64 y (pow.f64 x 4))))))
(-.f64 (.f64 (/.f64 y x) (-.f64 -3 (/.f64 9 x))) (fma.f64 27 (/.f64 y (pow.f64 x 3)) (.f64 81 (/.f64 y (pow.f64 x 4)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 (/.f64 y (pow.f64 x 4)) -81 (*.f64 (/.f64 (/.f64 y x) x) (-.f64 -9 (/.f64 27 x)))))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (*.f64 4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(-.f64 0 (/.f64 (fma.f64 x 4/3 -1) y))
(neg.f64 (/.f64 (fma.f64 x 4/3 -1) y))
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 1/3 x) 1)) y)
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y)
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 1/3 x) 1)) y)
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) 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 y) (.f64 x x))
(-.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 4/3 (/.f64 x y)))
(+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3))
(fma.f64 1/3 (.f64 (/.f64 x y) x) (.f64 (/.f64 x y) -4/3))
(neg.f64 (/.f64 (.f64 x (-.f64 4/3 (.f64 1/3 x))) y))
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 1/3 x) 1)) y)
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y)
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 1/3 x) 1)) y)
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) 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 y) (.f64 x x))
(-.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 4/3 (/.f64 x y)))
(+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3))
(fma.f64 1/3 (.f64 (/.f64 x y) x) (.f64 (/.f64 x y) -4/3))
(neg.f64 (/.f64 (.f64 x (-.f64 4/3 (.f64 1/3 x))) y))
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 1/3 x) 1)) y)
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y)
(-.f64 (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 (pow.f64 x 2) y))) (.f64 4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 1/3 x) 1)) y)
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y)
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(/.f64 (.f64 (.f64 1/3 (-.f64 3 x)) (-.f64 1 x)) y)
(.f64 (/.f64 1/3 y) (.f64 (-.f64 3 x) (-.f64 1 x)))
(.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (.f64 x -1/3)))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(/.f64 (.f64 (.f64 1/3 (-.f64 3 x)) (-.f64 1 x)) y)
(.f64 (/.f64 1/3 y) (.f64 (-.f64 3 x) (-.f64 1 x)))
(.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (.f64 x -1/3)))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(/.f64 (.f64 (.f64 1/3 (-.f64 3 x)) (-.f64 1 x)) y)
(.f64 (/.f64 1/3 y) (.f64 (-.f64 3 x) (-.f64 1 x)))
(.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (.f64 x -1/3)))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(/.f64 (.f64 (.f64 1/3 (-.f64 3 x)) (-.f64 1 x)) y)
(.f64 (/.f64 1/3 y) (.f64 (-.f64 3 x) (-.f64 1 x)))
(.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (.f64 x -1/3)))
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 1/3 x) 1)) y)
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y)
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 1/3 x) 1)) y)
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y)
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 1/3 x) 1)) y)
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y)
(/.f64 (-.f64 (+.f64 1 (.f64 1/3 (pow.f64 x 2))) (.f64 4/3 x)) y)
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 1/3 x) 1)) y)
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 1/3 x) 1)) y)
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 1/3 x) 1)) y)
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 1/3 x) 1)) y)
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y)
(.f64 -1 (/.f64 (-.f64 (.f64 4/3 x) (+.f64 1 (*.f64 1/3 (pow.f64 x 2)))) y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (.f64 x x) y)) (*.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)))
(/.f64 (fma.f64 x -4/3 (fma.f64 x (*.f64 1/3 x) 1)) y)
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y)
(*.f64 1/3 y)
(*.f64 y 1/3)
(+.f64 (.f64 1/9 (.f64 y x)) (*.f64 1/3 y))
(fma.f64 1/9 (.f64 y x) (.f64 y 1/3))
(fma.f64 y 1/3 (.f64 x (.f64 y 1/9)))
(.f64 y (+.f64 1/3 (.f64 x 1/9)))
(.f64 y (+.f64 (.f64 x 1/9) 1/3))
(+.f64 (.f64 1/9 (.f64 y x)) (+.f64 (.f64 1/3 y) (.f64 1/27 (*.f64 y (pow.f64 x 2)))))
(fma.f64 1/9 (.f64 y x) (fma.f64 1/3 y (.f64 (.f64 y (.f64 x x)) 1/27)))
(fma.f64 (.f64 y x) 1/9 (fma.f64 y 1/3 (.f64 (.f64 (.f64 y 1/27) x) x)))
(fma.f64 y (.f64 x 1/9) (.f64 y (+.f64 1/3 (.f64 x (.f64 x 1/27)))))
(fma.f64 (.f64 x x) (.f64 y 1/27) (.f64 y (+.f64 (.f64 x 1/9) 1/3)))
(+.f64 (.f64 1/9 (.f64 y x)) (+.f64 (.f64 1/3 y) (+.f64 (.f64 1/27 (.f64 y (pow.f64 x 2))) (.f64 1/81 (*.f64 y (pow.f64 x 3))))))
(fma.f64 1/9 (.f64 y x) (fma.f64 1/3 y (fma.f64 1/27 (.f64 y (.f64 x x)) (.f64 (*.f64 y (pow.f64 x 3)) 1/81))))
(fma.f64 (.f64 y x) 1/9 (fma.f64 y 1/3 (fma.f64 (.f64 y (.f64 x x)) 1/27 (.f64 (pow.f64 x 3) (*.f64 y 1/81)))))
(fma.f64 y 1/3 (fma.f64 y (.f64 x 1/9) (.f64 y (+.f64 (.f64 (pow.f64 x 3) 1/81) (.f64 x (*.f64 x 1/27))))))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(neg.f64 (+.f64 (/.f64 y x) (*.f64 3 (/.f64 y (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 y x) (.f64 3 (/.f64 y (.f64 x x)))))
(-.f64 (.f64 -3 (/.f64 y (.f64 x x))) (/.f64 y x))
(*.f64 (/.f64 y x) (-.f64 -1 (/.f64 3 x)))
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x)))
(neg.f64 (+.f64 (/.f64 y x) (+.f64 (.f64 9 (/.f64 y (pow.f64 x 3))) (.f64 3 (/.f64 y (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 y x) (fma.f64 9 (/.f64 y (pow.f64 x 3)) (.f64 3 (/.f64 y (.f64 x x))))))
(-.f64 (/.f64 (neg.f64 y) x) (fma.f64 3 (/.f64 y (*.f64 x x)) (/.f64 9 (/.f64 (pow.f64 x 3) y))))
(-.f64 (/.f64 (neg.f64 y) x) (.f64 (/.f64 y (.f64 x x)) (+.f64 3 (/.f64 9 x))))
(-.f64 (*.f64 (/.f64 (/.f64 y x) x) (+.f64 -3 (/.f64 -9 x))) (/.f64 y x))
(neg.f64 (+.f64 (/.f64 y x) (+.f64 (.f64 9 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 3 (/.f64 y (pow.f64 x 2))) (*.f64 27 (/.f64 y (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 y x) (fma.f64 9 (/.f64 y (pow.f64 x 3)) (fma.f64 3 (/.f64 y (.f64 x x)) (.f64 27 (/.f64 y (pow.f64 x 4)))))))
(-.f64 (/.f64 (neg.f64 y) x) (fma.f64 9 (/.f64 y (pow.f64 x 3)) (fma.f64 3 (/.f64 y (.f64 x x)) (.f64 27 (/.f64 y (pow.f64 x 4))))))
(-.f64 (neg.f64 (.f64 (/.f64 y (.f64 x x)) (+.f64 3 (/.f64 9 x)))) (fma.f64 27 (/.f64 y (pow.f64 x 4)) (/.f64 y x)))
(-.f64 (*.f64 (/.f64 (/.f64 y x) x) (+.f64 -3 (/.f64 -9 x))) (fma.f64 27 (/.f64 y (pow.f64 x 4)) (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(neg.f64 (+.f64 (/.f64 y x) (*.f64 3 (/.f64 y (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 y x) (.f64 3 (/.f64 y (.f64 x x)))))
(-.f64 (.f64 -3 (/.f64 y (.f64 x x))) (/.f64 y x))
(*.f64 (/.f64 y x) (-.f64 -1 (/.f64 3 x)))
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x)))
(neg.f64 (+.f64 (/.f64 y x) (+.f64 (.f64 9 (/.f64 y (pow.f64 x 3))) (.f64 3 (/.f64 y (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 y x) (fma.f64 9 (/.f64 y (pow.f64 x 3)) (.f64 3 (/.f64 y (.f64 x x))))))
(-.f64 (/.f64 (neg.f64 y) x) (fma.f64 3 (/.f64 y (*.f64 x x)) (/.f64 9 (/.f64 (pow.f64 x 3) y))))
(-.f64 (/.f64 (neg.f64 y) x) (.f64 (/.f64 y (.f64 x x)) (+.f64 3 (/.f64 9 x))))
(-.f64 (*.f64 (/.f64 (/.f64 y x) x) (+.f64 -3 (/.f64 -9 x))) (/.f64 y x))
(neg.f64 (+.f64 (/.f64 y x) (+.f64 (.f64 9 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 3 (/.f64 y (pow.f64 x 2))) (*.f64 27 (/.f64 y (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 y x) (fma.f64 9 (/.f64 y (pow.f64 x 3)) (fma.f64 3 (/.f64 y (.f64 x x)) (.f64 27 (/.f64 y (pow.f64 x 4)))))))
(-.f64 (/.f64 (neg.f64 y) x) (fma.f64 9 (/.f64 y (pow.f64 x 3)) (fma.f64 3 (/.f64 y (.f64 x x)) (.f64 27 (/.f64 y (pow.f64 x 4))))))
(-.f64 (neg.f64 (.f64 (/.f64 y (.f64 x x)) (+.f64 3 (/.f64 9 x)))) (fma.f64 27 (/.f64 y (pow.f64 x 4)) (/.f64 y x)))
(-.f64 (*.f64 (/.f64 (/.f64 y x) x) (+.f64 -3 (/.f64 -9 x))) (fma.f64 27 (/.f64 y (pow.f64 x 4)) (/.f64 y x)))

prune171.0ms (7.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	215	5	220

Error

Counts

220 → 5

Alt Table

Status	Error	Program
	0.2b	(/.f64 1 (/.f64 (*.f64 3 (/.f64 y (-.f64 3 x))) (-.f64 1 x)))
✓	0.2b	(.f64 (-.f64 1 x) (/.f64 (-.f64 1 (.f64 1/3 x)) y))
	38.5b	(*.f64 (/.f64 x y) (fma.f64 1/3 x -4/3))
	4.9b	(/.f64 (fma.f64 x (fma.f64 1/3 x -4/3) 1) y)
✓	0.2b	(/.f64 (-.f64 1 x) (*.f64 3 (/.f64 y (-.f64 3 x))))

Compiler

Compiled 6907 to 5003 computations (27.6% saved)

regimes141.0ms (5.9%)

Accuracy

Total 0.1b remaining (87.6%)

Threshold costs 0.1b (87.6%)

Counts

49 → 1

Compiler

Compiled 545 to 380 computations (30.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	13	14
2	17	14
3	19	14
4	20	14

Stop Event

1×

saturated

Calls

Call 1

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

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

end68.0ms (2.9%)

Stop Event

1×

fuel

Compiler

Compiled 86 to 65 computations (24.4% saved)

Details

analyze145.0ms (6.1%)

sample858.0ms (36%)

preprocess25.0ms (1.1%)

simplify23.0ms (1%)

prune3.0ms (0.1%)

localize6.0ms (0.3%)

series11.0ms (0.5%)

rewrite69.0ms (2.9%)

simplify34.0ms (1.4%)

prune104.0ms (4.4%)

localize7.0ms (0.3%)

series10.0ms (0.4%)

rewrite81.0ms (3.4%)

simplify52.0ms (2.2%)

prune197.0ms (8.3%)

localize6.0ms (0.3%)

series10.0ms (0.4%)

rewrite68.0ms (2.9%)

simplify33.0ms (1.4%)

prune113.0ms (4.7%)

localize6.0ms (0.3%)

series6.0ms (0.2%)

rewrite89.0ms (3.8%)

simplify41.0ms (1.7%)

prune171.0ms (7.2%)

regimes141.0ms (5.9%)

simplify2.0ms (0.1%)

end68.0ms (2.9%)

Profiling