Details

analyze179.0ms (5.7%)

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)

sample985.0ms (31.1%)

Results

939.0ms	8256×	body	128	valid
34.0ms	336×	body	128	invalid

preprocess29.0ms (0.9%)

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)

simplify27.0ms (0.9%)

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)))

eval1.0ms (0%)

Compiler: Compiled 24 to 18 computations (25% saved)

prune2.0ms (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

Click to see full alt table

Status	Error	Program
▶	0.4b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
	3.3b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

Compiler

Compiled 52 to 40 computations (23.1% saved)

localize7.0ms (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
1.0ms	x	@	-inf	(*.f64 (-.f64 3 x) (/.f64 1/3 y))
1.0ms	y	@	-inf	(*.f64 (-.f64 3 x) (/.f64 1/3 y))
1.0ms	y	@	0	(.f64 (-.f64 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	@	0	(*.f64 (-.f64 3 x) (/.f64 1/3 y))

rewrite89.0ms (2.8%)

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

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 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 expm1.f64 (log1p.f64 (/.f64 1/3 y)))))))

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

simplify62.0ms (2%)

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))

eval54.0ms (1.7%)

Compiler: Compiled 2555 to 1834 computations (28.2% saved)

prune231.0ms (7.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	147	7	154
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	149	7	156

Error

Counts

156 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(.f64 (-.f64 1 x) (+.f64 (/.f64 1 y) (.f64 -1/3 (/.f64 x y))))
	1.4b	(.f64 (-.f64 1 x) (/.f64 (/.f64 (.f64 1/3 (-.f64 3 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))
	0.1b	(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
▶	0.1b	(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
	3.1b	(/.f64 (.f64 (-.f64 1 x) (.f64 1/3 (-.f64 3 x))) y)
	0.3b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (*.f64 (/.f64 1 y) 1/3)))
	3.1b	(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))

Compiler

Compiled 216 to 162 computations (25% 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	(fma.f64 -1/3 x 1)
✓	0.1b	(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))

series9.0ms (0.3%)

Counts

3 → 60

Calls

15 calls:

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

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

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

Outputs

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

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

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

simplify48.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

499×	`fma-def_binary64`
434×	`cancel-sign-sub-inv_binary64`
371×	`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	747	610
5	3215	610

Stop Event

1×	node limit

Counts

206 → 169

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

eval64.0ms (2%)

Compiler: Compiled 2770 to 1984 computations (28.4% saved)

prune452.0ms (14.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	164	5	169
Fresh	6	0	6
Picked	0	1	1
Done	0	0	0
Total	170	6	176

Error

Counts

176 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(.f64 (-.f64 1 x) (+.f64 (.f64 -1/3 (/.f64 x y)) (/.f64 1 y)))
▶	0.1b	(.f64 (-.f64 1 x) (.f64 (/.f64 1 y) (fma.f64 x -1/3 1)))
	0.3b	(.f64 (-.f64 1 x) (/.f64 (.f64 (cbrt.f64 (fma.f64 x -1/3 1)) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 2)) y))
	0.1b	(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
✓	0.1b	(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
	3.1b	(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))

Compiler

Compiled 174 to 133 computations (23.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series7.0ms (0.2%)

Counts

3 → 60

Calls

15 calls:

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

rewrite60.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

499×	`log-prod_binary64`
184×	`expm1-udef_binary64`
183×	`log1p-udef_binary64`
153×	`fma-def_binary64`
151×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	213	27
2	2711	27

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

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

Outputs

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

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

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

simplify42.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

499×	`fma-def_binary64`
434×	`cancel-sign-sub-inv_binary64`
368×	`associate-l_binary64`
331×	`fma-neg_binary64`
310×	`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	746	610
5	3190	610

Stop Event

1×	node limit

Counts

198 → 160

Calls

Call 1

Inputs
(/.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)
(/.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 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)
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))

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

eval62.0ms (1.9%)

Compiler: Compiled 2718 to 1939 computations (28.7% saved)

prune367.0ms (11.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	157	3	160
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	160	6	166

Error

Counts

166 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
	3.1b	(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
✓	0.1b	(.f64 (-.f64 1 x) (.f64 (/.f64 1 y) (fma.f64 x -1/3 1)))
	0.3b	(.f64 (-.f64 1 x) (/.f64 (.f64 (cbrt.f64 (fma.f64 x -1/3 1)) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 2)) y))
	0.1b	(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
▶	0.1b	(*.f64 (-.f64 1 x) (fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)))

Compiler

Compiled 158 to 120 computations (24.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series12.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
2.0ms	x	@	-inf	(*.f64 (-.f64 1 x) (fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)))
1.0ms	y	@	0	(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
1.0ms	y	@	inf	(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
1.0ms	x	@	0	(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))

rewrite53.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

481×	`log-prod_binary64`
228×	`prod-diff_binary64`
184×	`expm1-udef_binary64`
183×	`log1p-udef_binary64`
152×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	213	28
2	2694	28

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

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

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

simplify33.0ms (1%)

Algorithm

1×	egg-herbie

Rules

451×	`distribute-rgt-in_binary64`
385×	`distribute-lft-in_binary64`
237×	`associate-/l*_binary64`
177×	`fma-neg_binary64`
163×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	650
1	78	624
2	174	612
3	491	549
4	1670	529

Stop Event

1×	node limit

Counts

115 → 84

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

eval29.0ms (0.9%)

Compiler: Compiled 1491 to 942 computations (36.8% saved)

prune91.0ms (2.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	84	6	90

Error

Counts

90 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(.f64 (-.f64 1 x) (.f64 (/.f64 1 y) (fma.f64 x -1/3 1)))
	0.3b	(.f64 (-.f64 1 x) (/.f64 (.f64 (cbrt.f64 (fma.f64 x -1/3 1)) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 2)) y))
	0.1b	(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
✓	0.1b	(*.f64 (-.f64 1 x) (/.f64 (fma.f64 -1/3 x 1) y))
	3.1b	(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
✓	0.1b	(*.f64 (-.f64 1 x) (fma.f64 -1/3 (/.f64 x y) (/.f64 1 y)))

Compiler

Compiled 92 to 70 computations (23.9% saved)

regimes57.0ms (1.8%)

Accuracy

Total -4.4b remaining (-4773.4%)

Threshold costs -4.4b (-4773.4%)

Counts

19 → 1

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
10.0ms	0.1b	1	`x`
10.0ms	0.1b	1	`y`
10.0ms	0.1b	1	`(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))`
5.0ms	0.1b	1	`(*.f64 (-.f64 1 x) (-.f64 3 x))`
10.0ms	0.1b	1	`(*.f64 y 3)`

Compiler

Compiled 288 to 201 computations (30.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	14	14
2	18	14
3	20	14
4	21	14

Stop Event

1×

saturated

Calls

Call 1

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

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

end16.0ms (0.5%)

Stop Event

1×

fuel

Compiler

Compiled 24 to 18 computations (25% saved)

Details

analyze179.0ms (5.7%)

sample985.0ms (31.1%)

preprocess29.0ms (0.9%)

simplify27.0ms (0.9%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

series12.0ms (0.4%)

rewrite89.0ms (2.8%)

simplify62.0ms (2%)

eval54.0ms (1.7%)

prune231.0ms (7.3%)

localize7.0ms (0.2%)

series9.0ms (0.3%)

rewrite59.0ms (1.9%)

simplify48.0ms (1.5%)

eval64.0ms (2%)

prune452.0ms (14.3%)

localize8.0ms (0.2%)

series7.0ms (0.2%)

rewrite60.0ms (1.9%)

simplify42.0ms (1.3%)

eval62.0ms (1.9%)

prune367.0ms (11.6%)

localize7.0ms (0.2%)

series12.0ms (0.4%)

rewrite53.0ms (1.7%)

simplify33.0ms (1%)

eval29.0ms (0.9%)

prune91.0ms (2.9%)

regimes57.0ms (1.8%)

simplify2.0ms (0.1%)

end16.0ms (0.5%)

Profiling