Details

analyze137.0ms (5.3%)

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)

sample831.0ms (32.2%)

Results

786.0ms	8256×	body	128	valid
33.0ms	346×	body	128	invalid

Compiler

Compiled 28 to 22 computations (21.4% saved)

preprocess28.0ms (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)

simplify21.0ms (0.8%)

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)))
	6.3b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

Compiler

Compiled 76 to 58 computations (23.7% saved)

localize15.0ms (0.6%)

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)

series19.0ms (0.7%)

Counts

3 → 48

Calls

15 calls:

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

rewrite65.0ms (2.5%)

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 log1p.f64 (expm1.f64 (/.f64 1/3 y)))))) (#(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 +.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 log1p.f64 (expm1.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 expm1.f64 (log1p.f64 (.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(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 +.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 log1p.f64 (expm1.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 expm1.f64 (log1p.f64 (*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 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))))))

simplify36.0ms (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)

prune117.0ms (4.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	153	4	157
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	153	6	159

Error

Counts

159 → 6

Alt Table

Status	Error	Program
▶	0.1b	(.f64 (-.f64 1 x) (-.f64 (/.f64 1 y) (.f64 1/3 (/.f64 x y))))
	0.2b	(.f64 (-.f64 1 x) (/.f64 (.f64 1/3 (-.f64 3 x)) y))
	6.3b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
	0.4b	(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3))
✓	0.4b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
	0.4b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (pow.f64 (*.f64 y 3) -1)))

Compiler

Compiled 2736 to 1976 computations (27.8% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 x y)))
✓	0.1b	(.f64 (-.f64 1 x) (-.f64 (/.f64 1 y) (.f64 1/3 (/.f64 x y))))
✓	0.3b	(*.f64 1/3 (/.f64 x y))

series27.0ms (1%)

Counts

3 → 39

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(*.f64 1/3 (/.f64 x y))
2.0ms	y	@	inf	(.f64 (-.f64 1 x) (-.f64 (/.f64 1 y) (.f64 1/3 (/.f64 x y))))
2.0ms	y	@	-inf	(.f64 (-.f64 1 x) (-.f64 (/.f64 1 y) (.f64 1/3 (/.f64 x y))))
2.0ms	x	@	inf	(.f64 (-.f64 1 x) (-.f64 (/.f64 1 y) (.f64 1/3 (/.f64 x y))))
2.0ms	y	@	0	(.f64 (-.f64 1 x) (-.f64 (/.f64 1 y) (.f64 1/3 (/.f64 x y))))

rewrite80.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

877×	`prod-diff_binary64`
143×	`egg-rr`
127×	`add-sqr-sqrt_binary64`
121×	`*-un-lft-identity_binary64`
121×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	249	33
2	3492	33

Stop Event

1×	node limit

Counts

3 → 200

Calls

Call 1

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

Outputs
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Outputs

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

simplify36.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

505×	`cancel-sign-sub-inv_binary64`
464×	`fma-neg_binary64`
304×	`distribute-rgt-in_binary64`
222×	`distribute-lft-in_binary64`
204×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	627
1	106	595
2	246	449
3	682	402
4	2303	392

Stop Event

1×	node limit

Counts

239 → 217

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

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

prune177.0ms (6.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	217	0	217
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	217	6	223

Error

Counts

223 → 6

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (-.f64 1 x) (-.f64 (/.f64 1 y) (.f64 1/3 (/.f64 x y))))
▶	0.2b	(.f64 (-.f64 1 x) (/.f64 (.f64 1/3 (-.f64 3 x)) y))
	6.3b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
	0.4b	(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3))
✓	0.4b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
	0.4b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (pow.f64 (*.f64 y 3) -1)))

Compiler

Compiled 6419 to 3769 computations (41.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series21.0ms (0.8%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/.f64 (*.f64 1/3 (-.f64 3 x)) y)
3.0ms	y	@	inf	(.f64 (-.f64 1 x) (/.f64 (.f64 1/3 (-.f64 3 x)) y))
2.0ms	y	@	-inf	(.f64 (-.f64 1 x) (/.f64 (.f64 1/3 (-.f64 3 x)) y))
1.0ms	y	@	0	(.f64 (-.f64 1 x) (/.f64 (.f64 1/3 (-.f64 3 x)) y))
1.0ms	x	@	inf	(.f64 (-.f64 1 x) (/.f64 (.f64 1/3 (-.f64 3 x)) y))

rewrite64.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

215×	`expm1-udef_binary64`
214×	`log1p-udef_binary64`
212×	`prod-diff_binary64`
189×	`fma-def_binary64`
180×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	242	33
2	3282	33

Stop Event

1×	node limit

Counts

3 → 164

Calls

Call 1

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

Outputs

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

((#(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 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (*.f64 1/3 (-.f64 3 x)) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (*.f64 3 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 (*.f64 3 (/.f64 y (-.f64 3 x))) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x x)) (*.f64 (*.f64 3 (/.f64 y (-.f64 3 x))) (+.f64 x 1)))))) (#(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 (neg.f64 (*.f64 (*.f64 1/3 (-.f64 3 x)) (-.f64 1 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) 1/3) (*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1/3) (*.f64 (+.f64 x 1) (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 1/3 (-.f64 3 x))) (*.f64 (+.f64 1 (fma.f64 x x x)) 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 (pow.f64 x 3)) 1) (*.f64 (+.f64 1 (fma.f64 x x x)) (*.f64 3 (/.f64 y (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1) (*.f64 (+.f64 x 1) (*.f64 3 (/.f64 y (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 3 x) -1/3)) (*.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)) (*.f64 (-.f64 3 x) -1/3)) (*.f64 (+.f64 x 1) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (-.f64 1 (pow.f64 x 3))) (*.f64 (/.f64 y (-.f64 3 x)) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 (-.f64 3 x)) (-.f64 1 (pow.f64 x 3))) (*.f64 y (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 3 x) -1/3) (-.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 1/3 (-.f64 1 (*.f64 x x))) (*.f64 (/.f64 y (-.f64 3 x)) (+.f64 x 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 (-.f64 3 x) -1/3) (-.f64 1 (*.f64 x x))) (*.f64 (neg.f64 y) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 1/3 (-.f64 3 x)) (-.f64 1 x)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 1/3 (-.f64 3 x)) (-.f64 1 x)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 1/3 (-.f64 3 x)) (-.f64 1 x)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (+.f64 1 (fma.f64 x x x)))))) (#(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 1/3 (-.f64 1 x)) (/.f64 y (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 3 x) -1/3) (-.f64 1 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) -1/3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(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 pow.f64 (*.f64 (-.f64 1 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.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 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 (/.f64 1/3 y) (-.f64 3 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 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 (/.f64 1/3 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 1/3 y) (-.f64 3 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 log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (/.f64 (-.f64 3 x) y) (*.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 3 x) y) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (/.f64 1 (/.f64 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simplify40.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

475×	`distribute-rgt-in_binary64`
455×	`cancel-sign-sub-inv_binary64`
405×	`fma-neg_binary64`
234×	`fma-def_binary64`
156×	`unsub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	789
1	128	757
2	291	575
3	745	528
4	2432	518

Stop Event

1×	node limit

Counts

224 → 188

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 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))

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

prune136.0ms (5.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	187	1	188
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	188	6	194

Error

Counts

194 → 6

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (-.f64 1 x) (-.f64 (/.f64 1 y) (.f64 1/3 (/.f64 x y))))
✓	0.2b	(.f64 (-.f64 1 x) (/.f64 (.f64 1/3 (-.f64 3 x)) y))
▶	0.4b	(/.f64 (-.f64 3 x) (/.f64 y (fma.f64 x -1/3 1/3)))
✓	0.4b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
	0.4b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (pow.f64 (*.f64 y 3) -1)))
	6.3b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

Compiler

Compiled 3365 to 2358 computations (29.9% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

series28.0ms (1.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	(/.f64 (-.f64 3 x) (/.f64 y (fma.f64 x -1/3 1/3)))
3.0ms	y	@	-inf	(/.f64 y (fma.f64 x -1/3 1/3))
3.0ms	y	@	0	(/.f64 y (fma.f64 x -1/3 1/3))
3.0ms	y	@	inf	(/.f64 y (fma.f64 x -1/3 1/3))
2.0ms	y	@	inf	(/.f64 (-.f64 3 x) (/.f64 y (fma.f64 x -1/3 1/3)))

rewrite87.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

217×	`prod-diff_binary64`
205×	`expm1-udef_binary64`
205×	`log1p-udef_binary64`
171×	`log-div_binary64`
160×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	229	27
2	3168	27

Stop Event

1×	node limit

Counts

3 → 209

Calls

Call 1

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

Outputs

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

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

simplify42.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

433×	`fma-neg_binary64`
393×	`fma-def_binary64`
351×	`cancel-sign-sub-inv_binary64`
339×	`times-frac_binary64`
279×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	927
1	212	875
2	633	690
3	2177	641

Stop Event

1×	node limit

Counts

269 → 244

Calls

Call 1

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

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

prune237.0ms (9.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	244	6	250

Error

Counts

250 → 6

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (-.f64 1 x) (-.f64 (/.f64 1 y) (.f64 1/3 (/.f64 x y))))
✓	0.2b	(.f64 (-.f64 1 x) (/.f64 (.f64 1/3 (-.f64 3 x)) y))
✓	0.4b	(/.f64 (-.f64 3 x) (/.f64 y (fma.f64 x -1/3 1/3)))
✓	0.4b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
	0.4b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (pow.f64 (*.f64 y 3) -1)))
	6.3b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

Compiler

Compiled 8649 to 5872 computations (32.1% saved)

regimes225.0ms (8.7%)

Accuracy

Total 0.1b remaining (85.9%)

Threshold costs 0.1b (85.9%)

Counts

53 → 1

Compiler

Compiled 3247 to 2440 computations (24.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	23	19
2	35	19
3	42	19
4	46	19
5	47	19

Stop Event

1×

saturated

Calls

Call 1

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

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

end86.0ms (3.3%)

Stop Event

1×

fuel

Compiler

Compiled 111 to 84 computations (24.3% saved)

Details

analyze137.0ms (5.3%)

sample831.0ms (32.2%)

preprocess28.0ms (1.1%)

simplify21.0ms (0.8%)

prune3.0ms (0.1%)

localize15.0ms (0.6%)

series19.0ms (0.7%)

rewrite65.0ms (2.5%)

simplify36.0ms (1.4%)

prune117.0ms (4.5%)

localize7.0ms (0.3%)

series27.0ms (1%)

rewrite80.0ms (3.1%)

simplify36.0ms (1.4%)

prune177.0ms (6.9%)

localize6.0ms (0.2%)

series21.0ms (0.8%)

rewrite64.0ms (2.5%)

simplify40.0ms (1.5%)

prune136.0ms (5.3%)

localize9.0ms (0.4%)

series28.0ms (1.1%)

rewrite87.0ms (3.4%)

simplify42.0ms (1.6%)

prune237.0ms (9.2%)

regimes225.0ms (8.7%)

simplify2.0ms (0.1%)

end86.0ms (3.3%)

Profiling