Details

analyze50.0ms (1.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	6
59.4%	59.3%	40.6%	0.1%	0%	0%	0%	7
68.3%	67.1%	31.2%	0.1%	1.6%	0%	0%	8
76.6%	74.1%	22.6%	0.1%	3.1%	0%	0%	9
81.9%	77.7%	17.2%	0.1%	5.1%	0%	0%	10
87.2%	81%	11.9%	0.1%	7%	0%	0%	11
90.2%	82.6%	9%	0.1%	8.3%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.1s (32.2%)

Results

979.0ms	8256×	body	256	valid
66.0ms	379×	body	256	infinite

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

8×	`associate-/r*`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	15	26
2	19	26
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify13.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`associate-/r*`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	10	13
2	12	13

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f64 x (*.f64 y 3))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1578×	`add-sqr-sqrt`
1560×	`*-un-lft-identity`
1462×	`add-cube-cbrt`
1442×	`add-cbrt-cube`
1428×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	147	13
2	1914	13

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

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

Outputs

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

simplify54.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1104×	`associate-+r+`
1020×	`associate-+l+`
952×	`associate-*r/`
938×	`distribute-lft-in`
870×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	100	1064
1	247	1046
2	900	1046
3	4044	1046

Stop Event

1×	node limit

Counts

62 → 49

Calls

Call 1

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

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

eval10.0ms (0.3%)

Compiler: Compiled 510 to 320 computations (37.3% saved)

prune12.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	42	7	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	8	50

Error

Counts

50 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.1b	(pow.f64 (*.f64 3 (/.f64 y x)) -1)
	28.1b	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 y))) 2)
✓	0.2b	(/.f64 x (*.f64 y 3))
▶	0.5b	(*.f64 (/.f64 x y) 1/3)
▶	0.3b	(*.f64 (/.f64 1 y) (/.f64 x 3))
▶	0.3b	(*.f64 (/.f64 1/3 y) x)
▶	0.3b	(.f64 (neg.f64 x) (/.f64 1 (.f64 y -3)))
	21.9b	(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 x) (*.f64 y 3)))

Compiler

Compiled 137 to 103 computations (24.8% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(.f64 (neg.f64 x) (/.f64 1 (.f64 y -3)))
0.0ms	y	@	0	(/.f64 1 (*.f64 y -3))
0.0ms	y	@	-inf	(/.f64 1 (*.f64 y -3))
0.0ms	y	@	inf	(/.f64 1 (*.f64 y -3))
0.0ms	y	@	-inf	(.f64 (neg.f64 x) (/.f64 1 (.f64 y -3)))

rewrite64.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1900×	`add-sqr-sqrt`
1876×	`*-un-lft-identity`
1750×	`add-cube-cbrt`
1728×	`add-cbrt-cube`
210×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	224	20
2	2765	20

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

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

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

simplify56.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1298×	`associate-+r+`
1114×	`associate-+l+`
972×	`associate-/r/`
600×	`unswap-sqr`
582×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	123	1068
1	271	1068
2	1054	1006
3	4599	1006

Stop Event

1×	node limit

Counts

90 → 64

Calls

Call 1

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

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

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite54.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1452×	`add-sqr-sqrt`
1428×	`*-un-lft-identity`
1334×	`add-cube-cbrt`
1318×	`add-cbrt-cube`
1304×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	148	20
2	1798	20

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

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

simplify56.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1646×	`associate-+r+`
826×	`associate-*r/`
634×	`unswap-sqr`
578×	`associate-+l-`
532×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	995
1	218	875
2	1011	755
3	4755	755

Stop Event

1×	node limit

Counts

67 → 47

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (/.f64 x y) 1/3)

Compiler

Compiled 13 to 6 computations (53.8% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`add-sqr-sqrt`
1504×	`*-un-lft-identity`
1404×	`add-cube-cbrt`
1388×	`add-cbrt-cube`
1374×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	147	13
2	1851	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify47.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1556×	`distribute-rgt-in`
1554×	`distribute-lft-in`
1508×	`associate-/r/`
932×	`associate-r`
782×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	608
1	147	608
2	559	602
3	3622	602

Stop Event

1×	node limit

Counts

46 → 26

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite61.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1882×	`add-sqr-sqrt`
1852×	`*-un-lft-identity`
1744×	`add-cube-cbrt`
1720×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	191	13
2	2360	13

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

Outputs

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

simplify60.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1172×	`associate-+r+`
1142×	`associate-*r/`
1094×	`associate-+l+`
740×	`associate-*l/`
734×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	929
1	283	929
2	1000	929
3	5431	929

Stop Event

1×	node limit

Counts

69 → 49

Calls

Call 1

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

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

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 3 (/.f64 y x))
✓	1.0b	(pow.f64 (*.f64 3 (/.f64 y x)) -1)

Compiler

Compiled 21 to 11 computations (47.6% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite66.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1888×	`add-sqr-sqrt`
1860×	`*-un-lft-identity`
1744×	`add-cube-cbrt`
1726×	`add-cbrt-cube`
180×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	196	26
2	2387	26

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1738×	`associate-+l+`
1262×	`associate-*r/`
816×	`associate-*l/`
772×	`associate-+r-`
368×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	962
1	259	962
2	962	962
3	5806	962

Stop Event

1×	node limit

Counts

72 → 53

Calls

Call 1

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

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

eval45.0ms (1.4%)

Compiler: Compiled 2022 to 1305 computations (35.5% saved)

prune174.0ms (5.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	233	6	239
Fresh	2	0	2
Picked	1	0	1
Done	3	2	5
Total	239	8	247

Error

Counts

247 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	28.0b	(pow.f64 (sqrt.f64 (/.f64 x (*.f64 y 3))) 2)
▶	0.4b	(/.f64 (/.f64 x y) 3)
▶	0.2b	(/.f64 (/.f64 1 y) (/.f64 3 x))
▶	0.3b	(/.f64 (*.f64 x 1/3) y)
✓	0.2b	(/.f64 x (*.f64 y 3))
▶	1.0b	(/.f64 1 (*.f64 (/.f64 3 x) y))
▶	1.0b	(/.f64 1/3 (/.f64 y x))
✓	0.3b	(*.f64 (/.f64 1/3 y) x)

Compiler

Compiled 112 to 84 computations (25% saved)

localize134.0ms (4.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite68.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1956×	`add-sqr-sqrt`
1928×	`*-un-lft-identity`
1810×	`add-cube-cbrt`
1790×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	195	13
2	2503	13

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify63.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

962×	`associate-/l*`
866×	`associate-+l-`
808×	`associate-+r-`
574×	`associate--r+`
568×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1132
1	318	1096
2	1326	1090
3	5239	1090

Stop Event

1×	node limit

Counts

66 → 58

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 1/3 (/.f64 y x))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`add-sqr-sqrt`
1592×	`*-un-lft-identity`
1492×	`add-cube-cbrt`
1476×	`add-cbrt-cube`
152×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	154	13
2	2008	13

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify46.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1260×	`associate-/l*`
1090×	`distribute-lft-in`
1016×	`distribute-rgt-in`
882×	`associate-+r+`
830×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	706
1	163	706
2	649	706
3	2571	706

Stop Event

1×	node limit

Counts

52 → 30

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite59.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`add-sqr-sqrt`
1540×	`*-un-lft-identity`
1442×	`add-cube-cbrt`
1426×	`add-cbrt-cube`
1412×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	147	20
2	1893	20

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1262×	`associate-+r+`
1220×	`associate-+l+`
1110×	`associate-*r/`
988×	`associate-/l*`
740×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1249
1	323	1201
2	1335	1195
3	6166	1195

Stop Event

1×	node limit

Counts

89 → 62

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1650×	`add-sqr-sqrt`
1624×	`*-un-lft-identity`
1530×	`add-cube-cbrt`
1514×	`add-cbrt-cube`
150×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	155	13
2	2024	13

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

Outputs

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

simplify47.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1008×	`associate-/l*`
884×	`times-frac`
878×	`associate-+r+`
872×	`associate-+l+`
814×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	725
1	178	725
2	610	719
3	2515	719

Stop Event

1×	node limit

Counts

53 → 34

Calls

Call 1

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

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

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 3 x) y)
✓	1.0b	(/.f64 1 (*.f64 (/.f64 3 x) y))

Compiler

Compiled 21 to 14 computations (33.3% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite61.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1792×	`add-sqr-sqrt`
1764×	`*-un-lft-identity`
1652×	`add-cube-cbrt`
1634×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	189	26
2	2302	26

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1678×	`associate-*l/`
924×	`associate-+r-`
914×	`associate-+l-`
706×	`unswap-sqr`
556×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	1410
1	289	1410
2	1240	1410
3	6700	1410

Stop Event

1×	node limit

Counts

104 → 66

Calls

Call 1

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

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

eval51.0ms (1.5%)

Compiler: Compiled 2451 to 1665 computations (32.1% saved)

prune37.0ms (1.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	249	1	250
Fresh	1	0	1
Picked	0	1	1
Done	0	6	6
Total	250	8	258

Error

Counts

258 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(/.f64 (/.f64 x y) 3)
✓	0.2b	(/.f64 (/.f64 1 y) (/.f64 3 x))
✓	0.3b	(/.f64 (*.f64 x 1/3) y)
✓	0.2b	(/.f64 x (*.f64 y 3))
✓	1.0b	(/.f64 1 (*.f64 (/.f64 3 x) y))
✓	1.0b	(/.f64 1/3 (/.f64 y x))
✓	0.3b	(*.f64 (/.f64 1/3 y) x)
▶	0.3b	(*.f64 (/.f64 -1 y) (/.f64 1 (/.f64 -3 x)))

Compiler

Compiled 64 to 48 computations (25% saved)

localize12.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 20 computations (25.9% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite78.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1516×	`associate-/r*`
1046×	`*-commutative`
926×	`associate-/l*`
718×	`unswap-sqr`
598×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	239	20
2	2914	20

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

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

Outputs

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

simplify86.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1730×	`associate-/r/`
768×	`associate-/l*`
750×	`associate-/l/`
704×	`distribute-rgt-in`
702×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	414	3846
1	1087	3696
2	4717	3684

Stop Event

1×	node limit

Counts

204 → 244

Calls

Call 1

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

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

eval66.0ms (2%)

Compiler: Compiled 3466 to 2450 computations (29.3% saved)

prune42.0ms (1.3%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	244	8	252

Error

Counts

252 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(/.f64 (/.f64 x y) 3)
✓	0.2b	(/.f64 (/.f64 1 y) (/.f64 3 x))
✓	0.3b	(/.f64 (*.f64 x 1/3) y)
✓	0.2b	(/.f64 x (*.f64 y 3))
✓	1.0b	(/.f64 1 (*.f64 (/.f64 3 x) y))
✓	1.0b	(/.f64 1/3 (/.f64 y x))
✓	0.3b	(*.f64 (/.f64 1/3 y) x)
✓	0.3b	(*.f64 (/.f64 -1 y) (/.f64 1 (/.f64 -3 x)))

Compiler

Compiled 64 to 48 computations (25% saved)

regimes37.0ms (1.1%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	y
8.0ms	x
8.0ms	(/.f64 x (*.f64 y 3))
7.0ms	(*.f64 y 3)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`(/.f64 x (*.f64 y 3))`
0.2b	1	`(*.f64 y 3)`

Compiler

Compiled 122 to 83 computations (32% saved)

regimes10.0ms (0.3%)

Accuracy

Total -1.2b remaining (-406.4%)

Threshold costs -1.2b (-406.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
3.0ms	y

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	12	26

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness0.0ms (0%)

end17.0ms (0.5%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

Details

analyze50.0ms (1.5%)

sample1.1s (32.2%)

preprocess4.0ms (0.1%)

simplify13.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite55.0ms (1.7%)

simplify54.0ms (1.6%)

eval10.0ms (0.3%)

prune12.0ms (0.4%)

localize9.0ms (0.3%)

series3.0ms (0.1%)

rewrite64.0ms (1.9%)

simplify56.0ms (1.7%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite54.0ms (1.6%)

simplify56.0ms (1.7%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite52.0ms (1.6%)

simplify47.0ms (1.4%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite61.0ms (1.9%)

simplify60.0ms (1.8%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite66.0ms (2%)

simplify59.0ms (1.8%)

eval45.0ms (1.4%)

prune174.0ms (5.3%)

localize134.0ms (4.1%)

series2.0ms (0.1%)

rewrite68.0ms (2.1%)

simplify63.0ms (1.9%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite54.0ms (1.6%)

simplify46.0ms (1.4%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite59.0ms (1.8%)

simplify64.0ms (1.9%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite54.0ms (1.6%)

simplify47.0ms (1.4%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite61.0ms (1.8%)

simplify67.0ms (2%)

eval51.0ms (1.5%)

prune37.0ms (1.1%)

localize12.0ms (0.4%)

series1.0ms (0%)

rewrite78.0ms (2.4%)

simplify86.0ms (2.6%)

eval66.0ms (2%)

prune42.0ms (1.3%)

regimes37.0ms (1.1%)

regimes10.0ms (0.3%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end17.0ms (0.5%)

Profiling