Details

analyze148.0ms (4.8%)

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)

sample942.0ms (30.1%)

Results

895.0ms	8256×	body	128	valid
34.0ms	328×	body	128	invalid

preprocess35.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	41	32
2	133	32
3	395	32
4	1406	32
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify23.0ms (0.7%)

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

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	4.0b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
▶	0.4b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))

Compiler

Compiled 76 to 58 computations (23.7% saved)

localize6.0ms (0.2%)

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)

series12.0ms (0.4%)

Counts

3 → 48

Calls

15 calls:

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

rewrite64.0ms (2%)

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

simplify43.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

795×	`fma-def_binary64`
415×	`fma-neg_binary64`
351×	`distribute-rgt-in_binary64`
314×	`distribute-lft-in_binary64`
193×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	650
1	64	648
2	139	636
3	363	549
4	1274	529
5	4952	529

Stop Event

1×	node limit

Counts

185 → 154

Calls

Call 1

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

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

prune169.0ms (5.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	149	5	154
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	150	6	156

Error

Counts

156 → 6

Alt Table

Status	Error	Program
	0.3b	(.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (.f64 y 3)))
	0.1b	(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
	9.7b	(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) (.f64 (/.f64 1/3 y) (-.f64 3 x))) (fma.f64 x (+.f64 x 1) 1))
▶	0.1b	(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
	3.9b	(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
✓	0.4b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))

Compiler

Compiled 2730 to 1966 computations (28% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -4/3 (*.f64 x 1/3))
✓	0.0b	(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
✓	0.3b	(.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3)))
✓	0.3b	(*.f64 x 1/3)

series13.0ms (0.4%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
2.0ms	x	@	0	(.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3)))
1.0ms	y	@	0	(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
1.0ms	y	@	0	(.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3)))
1.0ms	x	@	inf	(.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3)))

rewrite73.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

447×	`fma-def_binary64`
236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`
217×	`fma-neg_binary64`
138×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	272	35
2	3923	35

Stop Event

1×	node limit

Counts

4 → 202

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 x 1/3)) 1))))))
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simplify54.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

412×	`fma-def_binary64`
313×	`fma-neg_binary64`
223×	`cancel-sign-sub-inv_binary64`
217×	`associate-/l*_binary64`
217×	`unsub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	809
1	70	771
2	151	771
3	400	633
4	1325	630
5	4170	630

Stop Event

1×	node limit

Counts

274 → 220

Calls

Call 1

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

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

prune284.0ms (9.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	220	6	226

Error

Counts

226 → 6

Alt Table

Status	Error	Program
	0.3b	(.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (.f64 y 3)))
▶	0.1b	(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
	9.7b	(/.f64 (.f64 (-.f64 1 (pow.f64 x 3)) (.f64 (/.f64 1/3 y) (-.f64 3 x))) (fma.f64 x (+.f64 x 1) 1))
✓	0.1b	(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
	3.9b	(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
✓	0.4b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))

Compiler

Compiled 4265 to 2638 computations (38.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series10.0ms (0.3%)

Counts

3 → 60

Calls

15 calls:

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

rewrite59.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

455×	`log-prod_binary64`
176×	`pow1/3_binary64`
171×	`expm1-udef_binary64`
170×	`log1p-udef_binary64`
161×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	192	27
2	2526	27

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

Outputs

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

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

simplify41.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

499×	`fma-def_binary64`
434×	`cancel-sign-sub-inv_binary64`
379×	`associate-l_binary64`
331×	`fma-neg_binary64`
318×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	710
1	54	642
2	107	630
3	243	630
4	749	610
5	3230	610

Stop Event

1×	node limit

Counts

206 → 167

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

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

prune194.0ms (6.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	165	2	167
Fresh	2	1	3
Picked	0	1	1
Done	1	1	2
Total	168	5	173

Error

Counts

173 → 5

Alt Table

Status	Error	Program
	0.3b	(.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (.f64 y 3)))
✓	0.1b	(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
✓	0.4b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
▶	0.1b	(/.f64 (-.f64 1 x) (/.f64 y (fma.f64 -1/3 x 1)))
	3.9b	(/.f64 (-.f64 1 (.f64 x x)) (.f64 (/.f64 y (fma.f64 -1/3 x 1)) (+.f64 x 1)))

Compiler

Compiled 2861 to 2040 computations (28.7% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series6.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite133.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

456×	`prod-diff_binary64`
289×	`egg-rr`
179×	`expm1-udef_binary64`
178×	`log1p-udef_binary64`
165×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	200	22
2	2838	22

Stop Event

1×	node limit

Counts

2 → 322

Calls

Call 1

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

Outputs

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

simplify49.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

767×	`fma-def_binary64`
454×	`distribute-lft-out_binary64`
317×	`distribute-rgt-out_binary64`
305×	`associate-l_binary64`
236×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	758
1	144	706
2	350	666
3	1042	646
4	3745	626

Stop Event

1×	node limit

Counts

370 → 350

Calls

Call 1

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

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

prune548.0ms (17.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	379	0	379
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	379	5	384

Error

Counts

384 → 5

Alt Table

Status	Error	Program
	0.3b	(.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) (.f64 y 3)))
✓	0.1b	(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
✓	0.4b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
✓	0.1b	(/.f64 (-.f64 1 x) (/.f64 y (fma.f64 -1/3 x 1)))
	3.9b	(/.f64 (-.f64 1 (.f64 x x)) (.f64 (/.f64 y (fma.f64 -1/3 x 1)) (+.f64 x 1)))

Compiler

Compiled 17363 to 11803 computations (32% saved)

regimes174.0ms (5.6%)

Accuracy

Total -61.6b remaining (-60661.6%)

Threshold costs -61.6b (-60661.6%)

Counts

52 → 1

Compiler

Compiled 610 to 419 computations (31.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	18	19

Stop Event

1×

saturated

Calls

Call 1

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

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

end16.0ms (0.5%)

Stop Event

1×

fuel

Compiler

Compiled 30 to 22 computations (26.7% saved)

Details

analyze148.0ms (4.8%)

sample942.0ms (30.1%)

preprocess35.0ms (1.1%)

simplify23.0ms (0.7%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series12.0ms (0.4%)

rewrite64.0ms (2%)

simplify43.0ms (1.4%)

prune169.0ms (5.4%)

localize9.0ms (0.3%)

series13.0ms (0.4%)

rewrite73.0ms (2.3%)

simplify54.0ms (1.7%)

prune284.0ms (9.1%)

localize7.0ms (0.2%)

series10.0ms (0.3%)

rewrite59.0ms (1.9%)

simplify41.0ms (1.3%)

prune194.0ms (6.2%)

localize6.0ms (0.2%)

series6.0ms (0.2%)

rewrite133.0ms (4.3%)

simplify49.0ms (1.6%)

prune548.0ms (17.6%)

regimes174.0ms (5.6%)

simplify2.0ms (0.1%)

end16.0ms (0.5%)

Profiling