Details

analyze44.0ms (1.2%)

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 (31%)

Results

1.0s	8256×	body	256	valid
59.0ms	377×	body	256	infinite

Bogosity

preprocess5.0ms (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

Accurracy

99.6%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 x (*.f64 y 3))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(/.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))

rewrite81.0ms (2.3%)

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))))))))

simplify51.0ms (1.4%)

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))

eval11.0ms (0.3%)

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

prune12.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	41	8	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	9	50

Accurracy

100.0%

Counts

50 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.0%	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 y))) 2)
▶	46.5%	(/.f64 (/.f64 x (sqrt.f64 (.f64 y 3))) (sqrt.f64 (.f64 y 3)))
✓	99.6%	(/.f64 x (*.f64 y 3))
	56.3%	(.f64 (/.f64 (cbrt.f64 (.f64 x x)) y) (/.f64 (cbrt.f64 x) 3))
	99.5%	(*.f64 (/.f64 x y) 1/3)
▶	99.5%	(*.f64 (/.f64 1 y) (/.f64 x 3))
▶	99.4%	(*.f64 (/.f64 1/3 y) x)
▶	46.1%	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1/3 y)))
▶	53.5%	(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3))

Compiler

Compiled 167 to 123 computations (26.3% saved)

localize7.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(*.f64 (/.f64 1 y) (/.f64 x 3))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series0.0ms (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	x	@	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))

rewrite112.0ms (3.2%)

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)))))))

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)))))))

simplify59.0ms (1.7%)

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))

localize5.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(*.f64 (/.f64 1/3 y) x)
✓	99.3%	(/.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
0.0ms	y	@	0	(/.f64 1/3 y)
0.0ms	y	@	inf	(/.f64 1/3 y)
0.0ms	y	@	-inf	(/.f64 1/3 y)
0.0ms	y	@	inf	(*.f64 (/.f64 1/3 y) x)
0.0ms	x	@	-inf	(*.f64 (/.f64 1/3 y) x)

rewrite69.0ms (1.9%)

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))))))))

simplify59.0ms (1.6%)

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))

localize14.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(*.f64 x (/.f64 1/3 y))
✓	99.6%	(pow.f64 (*.f64 x (/.f64 1/3 y)) 3)
	99.3%	(/.f64 1/3 y)
✓	54.9%	(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3))

Compiler

Compiled 29 to 20 computations (31% saved)

series7.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3))
2.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3))
1.0ms	x	@	0	(pow.f64 (*.f64 x (/.f64 1/3 y)) 3)
1.0ms	y	@	0	(pow.f64 (*.f64 x (/.f64 1/3 y)) 3)
0.0ms	y	@	-inf	(pow.f64 (*.f64 x (/.f64 1/3 y)) 3)

rewrite70.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1984×	`add-sqr-sqrt`
1942×	`*-un-lft-identity`
1834×	`add-cube-cbrt`
1818×	`add-cbrt-cube`
200×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	235	45
2	2599	45

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1/3 y) (pow.f64 (*.f64 x (/.f64 1/3 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) (*.f64 x (pow.f64 (*.f64 x (/.f64 1/3 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/3 y)) (pow.f64 (*.f64 x (/.f64 1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 y))) (*.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 y))) (pow.f64 (*.f64 x (/.f64 1/3 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3/2) (pow.f64 (*.f64 x (/.f64 1/3 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 y))) 2) (*.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 y))) (pow.f64 (*.f64 x (/.f64 1/3 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 2) (*.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (pow.f64 (/.f64 1/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/3 y) 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 2) x) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 2) (/.f64 1/3 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 2) 1) (*.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 2) (sqrt.f64 (*.f64 x (/.f64 1/3 y)))) (sqrt.f64 (*.f64 x (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 2) (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 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 y))) 3) (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 y))) 2) 3) (*.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 2) (*.f64 x 1/3)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/3) (pow.f64 (*.f64 x (/.f64 1/3 y)) 2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 x 1/3) 3) (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 x (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (/.f64 1/3 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3)))))))

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

simplify90.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1204×	`associate-/r*`
1186×	`associate-+r-`
710×	`*-commutative`
594×	`distribute-lft-in`
582×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	179	2973
1	425	2649
2	1773	2649
3	7417	2649

Stop Event

1×	node limit

Counts

171 → 86

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))
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Outputs
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(*.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 x (/.f64 1/3 y)))) 1)
(*.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 1/3 (.f64 (/.f64 1 y) x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(.f64 (.f64 x (/.f64 1/3 y)) 1)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(.f64 1 (.f64 x (/.f64 1/3 y)))
(*.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 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(.f64 (sqrt.f64 (/.f64 1/3 y)) (.f64 (sqrt.f64 (/.f64 1/3 y)) x))
(*.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 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(.f64 (cbrt.f64 (.f64 x (/.f64 1/3 y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 y))) 2))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(.f64 (cbrt.f64 (.f64 x (/.f64 1/3 y))) (pow.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 2) 1/3))
(*.f64 x (/.f64 1/3 y))
(*.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 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2) (.f64 (cbrt.f64 (/.f64 1/3 y)) x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1/3 y)))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(.f64 (.f64 x 1/3) (/.f64 1 y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(.f64 (.f64 x (sqrt.f64 (/.f64 1/3 y))) (sqrt.f64 (/.f64 1/3 y)))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2)) (cbrt.f64 (/.f64 1/3 y)))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(.f64 (.f64 (/.f64 1/3 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(.f64 (.f64 (/.f64 1/3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x 1) (/.f64 1/3 y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(.f64 (pow.f64 (pow.f64 (.f64 x (/.f64 1/3 y)) 2) 1/3) (cbrt.f64 (*.f64 x (/.f64 1/3 y))))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(.f64 (pow.f64 1 1/3) (.f64 x (/.f64 1/3 y)))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(.f64 (pow.f64 (pow.f64 (.f64 x (/.f64 1/3 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (/.f64 1/3 y)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3/2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (/.f64 x y)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 x y)) 3/2)))
(/.f64 x (*.f64 y 3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1 (/.f64 y (*.f64 x 1/3)))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 x 1/3) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 x -1/3) (neg.f64 y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 -1/3 x) (neg.f64 y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 (*.f64 x 1/3) 1) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 (*.f64 x 1/3) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 (*.f64 x 1/3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (neg.f64 (*.f64 x 1/3)) (neg.f64 y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(pow.f64 (*.f64 x (/.f64 1/3 y)) 1)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3) 1/3)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 y))) 2)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 y))) 3)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 2))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(log.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 1/3 y)))))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/3 y))))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/3 y))))
(*.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 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (/.f64 1/3 y)))) 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/3 y))))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3))) 1)
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(.f64 x (.f64 (/.f64 1/3 y) (pow.f64 (*.f64 x (/.f64 1/3 y)) 2)))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(.f64 (/.f64 1/3 y) (.f64 x (pow.f64 (*.f64 x (/.f64 1/3 y)) 2)))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(.f64 (.f64 x (/.f64 1/3 y)) (pow.f64 (*.f64 x (/.f64 1/3 y)) 2))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(.f64 (pow.f64 (.f64 x (/.f64 1/3 y)) 3) 1)
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(.f64 1 (pow.f64 (.f64 x (/.f64 1/3 y)) 3))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(.f64 (sqrt.f64 (.f64 x (/.f64 1/3 y))) (.f64 (sqrt.f64 (.f64 x (/.f64 1/3 y))) (pow.f64 (*.f64 x (/.f64 1/3 y)) 2)))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(.f64 (pow.f64 (.f64 x (/.f64 1/3 y)) 3/2) (pow.f64 (*.f64 x (/.f64 1/3 y)) 3/2))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 1/3 y))) 2) (.f64 (cbrt.f64 (.f64 x (/.f64 1/3 y))) (pow.f64 (*.f64 x (/.f64 1/3 y)) 2)))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(.f64 (pow.f64 (.f64 x (/.f64 1/3 y)) 2) (*.f64 x (/.f64 1/3 y)))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1/3 y) 3))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(*.f64 (pow.f64 (/.f64 1/3 y) 3) (pow.f64 x 3))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(.f64 (.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 2) x) (/.f64 1/3 y))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(.f64 (.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 2) (/.f64 1/3 y)) x)
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(.f64 (.f64 (pow.f64 (.f64 x (/.f64 1/3 y)) 2) 1) (.f64 x (/.f64 1/3 y)))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(.f64 (.f64 (pow.f64 (.f64 x (/.f64 1/3 y)) 2) (sqrt.f64 (.f64 x (/.f64 1/3 y)))) (sqrt.f64 (*.f64 x (/.f64 1/3 y))))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(.f64 (.f64 (pow.f64 (.f64 x (/.f64 1/3 y)) 2) (pow.f64 (cbrt.f64 (.f64 x (/.f64 1/3 y))) 2)) (cbrt.f64 (*.f64 x (/.f64 1/3 y))))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (/.f64 1/3 y))) 3) (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 y))) 3))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 1/3 y))) 2) 3) (*.f64 x (/.f64 1/3 y)))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(/.f64 (.f64 (pow.f64 (.f64 x (/.f64 1/3 y)) 2) (*.f64 x 1/3)) y)
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(/.f64 (.f64 (.f64 x 1/3) (pow.f64 (*.f64 x (/.f64 1/3 y)) 2)) y)
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(/.f64 (pow.f64 (*.f64 x 1/3) 3) (pow.f64 y 3))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 6))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3)))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3))))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3) 3))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3)))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(exp.f64 (.f64 3 (log.f64 (.f64 x (/.f64 1/3 y)))))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (/.f64 1/3 y)))) 1))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3)))
(*.f64 1/27 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 1/27 (pow.f64 (/.f64 x y) 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/3 y)))) 1)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1 (/.f64 y (*.f64 x 1/3)))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 x 1/3) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 x -1/3) (neg.f64 y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 -1/3 x) (neg.f64 y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 (*.f64 x 1/3) 1) y)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 (*.f64 x 1/3) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 (*.f64 x 1/3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (neg.f64 (*.f64 x 1/3)) (neg.f64 y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(pow.f64 (*.f64 x (/.f64 1/3 y)) 1)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3) 1/3)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 y))) 2)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 y))) 3)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 2))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(log.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 1/3 y)))))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 y)) 3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/3 y))))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/3 y))))
(*.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 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (/.f64 1/3 y)))) 1/3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/3 y))))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))

localize9.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1/3 y)))
✓	99.8%	(*.f64 (sqrt.f64 x) (/.f64 1/3 y))
	99.3%	(/.f64 1/3 y)

Compiler

Compiled 25 to 13 computations (48% saved)

series6.0ms (0.2%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 (sqrt.f64 x) (/.f64 1/3 y))
1.0ms	x	@	-inf	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1/3 y)))
1.0ms	y	@	0	(*.f64 (sqrt.f64 x) (/.f64 1/3 y))
1.0ms	x	@	-inf	(*.f64 (sqrt.f64 x) (/.f64 1/3 y))
0.0ms	y	@	inf	(*.f64 (sqrt.f64 x) (/.f64 1/3 y))

rewrite119.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1974×	`add-sqr-sqrt`
1946×	`*-un-lft-identity`
1814×	`add-cube-cbrt`
1788×	`add-cbrt-cube`
198×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	206	30
2	2510	30

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1456×	`associate-+r+`
1424×	`associate-+l+`
1092×	`associate-*r/`
784×	`associate-*l/`
590×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	109	1328
1	249	1130
2	900	1130
3	5254	1130

Stop Event

1×	node limit

Counts

76 → 48

Calls

Call 1

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

localize11.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(sqrt.f64 (*.f64 y 3))
✓	99.9%	(/.f64 x (sqrt.f64 (*.f64 y 3)))
✓	99.8%	(/.f64 (/.f64 x (sqrt.f64 (.f64 y 3))) (sqrt.f64 (.f64 y 3)))

Compiler

Compiled 29 to 20 computations (31% saved)

series47.0ms (1.3%)

Counts

3 → 36

Calls

15 calls:

Time	Variable		Point	Expression
39.0ms	x	@	0	(/.f64 x (sqrt.f64 (*.f64 y 3)))
1.0ms	x	@	0	(/.f64 (/.f64 x (sqrt.f64 (.f64 y 3))) (sqrt.f64 (.f64 y 3)))
1.0ms	y	@	0	(/.f64 (/.f64 x (sqrt.f64 (.f64 y 3))) (sqrt.f64 (.f64 y 3)))
1.0ms	x	@	inf	(/.f64 (/.f64 x (sqrt.f64 (.f64 y 3))) (sqrt.f64 (.f64 y 3)))
1.0ms	y	@	-inf	(/.f64 (/.f64 x (sqrt.f64 (.f64 y 3))) (sqrt.f64 (.f64 y 3)))

rewrite144.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`associate-*r/`
1094×	`associate-*l/`
1046×	`*-commutative`
686×	`swap-sqr`
462×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	208	41
2	2778	41

Stop Event

1×	node limit

Counts

3 → 201

Calls

Call 1

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

Outputs

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(expm1.f64 (*.f64 (/.f64 x y) 1/3)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (sqrt.f64 (*.f64 y 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (*.f64 y 3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (*.f64 y 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (sqrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))) (sqrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 x y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 x y) 1/3)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 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(*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 (*.f64 y 3)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y 3))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y 3))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (*.f64 y 3) 1/4)) (/.f64 (cbrt.f64 x) (pow.f64 (*.f64 y 3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (pow.f64 (*.f64 y 3) 1/4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (*.f64 y 3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 3)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 y 3))) (cbrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 y 3))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 (*.f64 y 3)) (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 (*.f64 y 3)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (*.f64 y 3)))))) (sqrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (*.f64 y 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (*.f64 y 3))))) (cbrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (*.f64 y 3))))))) (cbrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (*.f64 y 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))) (sqrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y 3))))) (cbrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (*.f64 y 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 y 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 y 3)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (sqrt.f64 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 x (neg.f64 (sqrt.f64 (*.f64 y 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 x x) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sqrt.f64 (*.f64 y 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 y 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 3) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y 3)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y 3) 1/4) (pow.f64 (*.f64 y 3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y 3) 1/4) (neg.f64 (neg.f64 (pow.f64 (*.f64 y 3) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (neg.f64 (neg.f64 (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 3) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 y 3))) (cbrt.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y 3)) (cbrt.f64 (sqrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y 3)) (neg.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 y 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 y 3)))) (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 y 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 y 3))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (*.f64 y 3)))) (cbrt.f64 (neg.f64 (sqrt.f64 (*.f64 y 3))))) (neg.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (*.f64 y 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sqrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (*.f64 y 3) 1/4)) (neg.f64 (pow.f64 (*.f64 y 3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 y 3))) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 y 3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 y 3))))) (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (*.f64 y 3)))) (cbrt.f64 (neg.f64 (sqrt.f64 (*.f64 y 3)))))) (cbrt.f64 (neg.f64 (sqrt.f64 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 y 3) 1/4))) (pow.f64 (*.f64 y 3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 y))) (sqrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 y 3)))) (cbrt.f64 (sqrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y 3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y 3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y 3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y 3))))))))

simplify99.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1326×	`associate-/r/`
1144×	`distribute-rgt-in`
1106×	`distribute-lft-in`
950×	`times-frac`
590×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	397	6581
1	1001	5557
2	4837	5557

Stop Event

1×	node limit

Counts

237 → 244

Calls

Call 1

Inputs
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(.f64 -1 (/.f64 x (.f64 y (pow.f64 (sqrt.f64 -3) 2))))
(.f64 -1 (/.f64 x (.f64 y (pow.f64 (sqrt.f64 -3) 2))))
(.f64 -1 (/.f64 x (.f64 y (pow.f64 (sqrt.f64 -3) 2))))
(.f64 -1 (/.f64 x (.f64 y (pow.f64 (sqrt.f64 -3) 2))))
(*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 3)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 3)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 3)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 3)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 3)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 3)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 3)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 3)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 3)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 3)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 3)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 x (sqrt.f64 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/3))) 1)
(.f64 x (/.f64 1 (.f64 y 3)))
(.f64 (/.f64 x (sqrt.f64 (.f64 y 3))) (pow.f64 (*.f64 y 3) -1/2))
(.f64 (.f64 (/.f64 x y) 1/3) 1)
(.f64 1 (.f64 (/.f64 x y) 1/3))
(.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))) (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3)) (pow.f64 (.f64 y 3) 1/4)))
(.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3)) (sqrt.f64 (*.f64 (/.f64 x y) 1/3)))
(.f64 (cbrt.f64 (/.f64 (.f64 x x) (.f64 y 3))) (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))) (sqrt.f64 (*.f64 y 3))))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 2))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) (/.f64 (cbrt.f64 (/.f64 (.f64 x x) (.f64 y 3))) (cbrt.f64 (*.f64 y 3))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) 2) (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))
(.f64 (pow.f64 (.f64 y 3) -1/2) (/.f64 x (sqrt.f64 (*.f64 y 3))))
(.f64 (/.f64 x (neg.f64 (sqrt.f64 (.f64 y 3)))) (/.f64 -1 (sqrt.f64 (*.f64 y 3))))
(.f64 (/.f64 1 (.f64 y 3)) x)
(.f64 (/.f64 1 (.f64 y 3)) (/.f64 x 1))
(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3)) (pow.f64 (.f64 y 3) 1/4)) (sqrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))))
(.f64 (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))) (sqrt.f64 (.f64 y 3))) (cbrt.f64 (/.f64 (.f64 x x) (*.f64 y 3))))
(.f64 (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))) (sqrt.f64 (.f64 y 3))) (/.f64 (cbrt.f64 (/.f64 (.f64 x x) (*.f64 y 3))) 1))
(.f64 (/.f64 x 1) (/.f64 1 (.f64 y 3)))
(.f64 (/.f64 x (pow.f64 (.f64 y 3) 1/4)) (/.f64 (pow.f64 (.f64 y 3) -1/2) (pow.f64 (.f64 y 3) 1/4)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 1 (sqrt.f64 y)) 3))
(.f64 (/.f64 x (cbrt.f64 (.f64 y 3))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(.f64 (/.f64 x (cbrt.f64 (.f64 y 3))) (/.f64 (/.f64 1 (cbrt.f64 (.f64 y 3))) (cbrt.f64 (.f64 y 3))))
(.f64 (/.f64 1 (pow.f64 (.f64 y 3) 1/4)) (/.f64 x (.f64 (sqrt.f64 (.f64 y 3)) (pow.f64 (*.f64 y 3) 1/4))))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (/.f64 x (sqrt.f64 y)) 3))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y 3))) (/.f64 (/.f64 x (cbrt.f64 (.f64 y 3))) (cbrt.f64 (.f64 y 3))))
(*.f64 (/.f64 x y) 1/3)
(*.f64 (/.f64 x 3) (/.f64 1 y))
(.f64 (/.f64 x (.f64 (sqrt.f64 (.f64 y 3)) (pow.f64 (.f64 y 3) 1/4))) (/.f64 1 (pow.f64 (*.f64 y 3) 1/4)))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 y)) 3) (/.f64 1 (sqrt.f64 y)))
(.f64 (/.f64 (/.f64 x (cbrt.f64 (.f64 y 3))) (cbrt.f64 (.f64 y 3))) (/.f64 1 (cbrt.f64 (.f64 y 3))))
(.f64 (/.f64 -1 (sqrt.f64 (.f64 y 3))) (/.f64 x (neg.f64 (sqrt.f64 (*.f64 y 3)))))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 y 3)))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (.f64 y 3))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (.f64 y 3)))
(.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (.f64 y 3))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 y 3))))
(*.f64 (/.f64 1 y) (/.f64 x 3))
(*.f64 1/3 (/.f64 x y))
(.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) (.f64 y 3)) (sqrt.f64 x))
(.f64 (/.f64 (sqrt.f64 x) (.f64 y 3)) (/.f64 (sqrt.f64 x) 1))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) 3))
(*.f64 (/.f64 (cbrt.f64 x) 3) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 3) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 3))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (.f64 y 3))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y 3))))
(.f64 (/.f64 (cbrt.f64 x) (.f64 y 3)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))
(.f64 (/.f64 (pow.f64 (.f64 y 3) -1/2) (pow.f64 (.f64 y 3) 1/4)) (/.f64 x (pow.f64 (.f64 y 3) 1/4)))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 y)) 3) (/.f64 x (sqrt.f64 y)))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 (.f64 y 3))) (cbrt.f64 (.f64 y 3))) (/.f64 x (cbrt.f64 (.f64 y 3))))
(.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))) (sqrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))) (sqrt.f64 3)))
(.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))) (sqrt.f64 3)) (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))) (sqrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))) (cbrt.f64 (.f64 y 3))) (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))) (cbrt.f64 (sqrt.f64 (*.f64 y 3)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))) (cbrt.f64 (sqrt.f64 (.f64 y 3)))) (/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))) (cbrt.f64 (*.f64 y 3))))
(.f64 (/.f64 (cbrt.f64 (/.f64 (.f64 x x) (.f64 y 3))) 1) (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))) (sqrt.f64 (*.f64 y 3))))
(.f64 (/.f64 (cbrt.f64 (/.f64 (.f64 x x) (.f64 y 3))) (pow.f64 (.f64 y 3) 1/4)) (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))) (pow.f64 (.f64 y 3) 1/4)))
(.f64 (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))) (pow.f64 (.f64 y 3) 1/4)) (/.f64 (cbrt.f64 (/.f64 (.f64 x x) (.f64 y 3))) (pow.f64 (.f64 y 3) 1/4)))
(.f64 (/.f64 (cbrt.f64 (/.f64 (.f64 x x) (.f64 y 3))) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))) (sqrt.f64 3)))
(.f64 (/.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))) (sqrt.f64 3)) (/.f64 (cbrt.f64 (/.f64 (.f64 x x) (.f64 y 3))) (sqrt.f64 y)))
(.f64 (/.f64 (cbrt.f64 (/.f64 (.f64 x x) (.f64 y 3))) (cbrt.f64 (.f64 y 3))) (cbrt.f64 (*.f64 (/.f64 x y) 1/3)))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (.f64 y 3)) (sqrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))))) (sqrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (.f64 y 3)) (cbrt.f64 (/.f64 (.f64 x x) (.f64 y 3))))) (cbrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))
(.f64 (/.f64 (cbrt.f64 (/.f64 (.f64 x x) (.f64 y 3))) (sqrt.f64 (.f64 y 3))) (cbrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 y 3)) (cbrt.f64 x))
(.f64 (/.f64 (pow.f64 (.f64 y 3) -1/2) 1) (/.f64 x (sqrt.f64 (*.f64 y 3))))
(.f64 (/.f64 (pow.f64 (.f64 y 3) -1/2) (sqrt.f64 y)) (/.f64 x (sqrt.f64 3)))
(.f64 (/.f64 (pow.f64 (.f64 y 3) -1/2) (cbrt.f64 (.f64 y 3))) (/.f64 x (cbrt.f64 (sqrt.f64 (.f64 y 3)))))
(.f64 (/.f64 (pow.f64 (.f64 y 3) -1/2) (neg.f64 (sqrt.f64 (*.f64 y 3)))) (neg.f64 x))
(.f64 (/.f64 (pow.f64 (.f64 y 3) -1/2) (/.f64 (sqrt.f64 (*.f64 y 3)) (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (/.f64 (pow.f64 (.f64 y 3) -1/2) (/.f64 (sqrt.f64 (*.f64 y 3)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(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 y 3) x) -1)
(neg.f64 (/.f64 x (*.f64 y -3)))
(neg.f64 (.f64 (pow.f64 (.f64 y 3) -1/2) (/.f64 x (neg.f64 (sqrt.f64 (*.f64 y 3))))))
(neg.f64 (.f64 (/.f64 x (neg.f64 (sqrt.f64 (.f64 y 3)))) (pow.f64 (*.f64 y 3) -1/2)))
(neg.f64 (.f64 (/.f64 x (.f64 y -3)) 1))
(neg.f64 (.f64 (/.f64 x (sqrt.f64 (.f64 y 3))) (/.f64 -1 (sqrt.f64 (*.f64 y 3)))))
(neg.f64 (.f64 1 (/.f64 x (.f64 y -3))))
(neg.f64 (/.f64 (/.f64 x (neg.f64 (sqrt.f64 (.f64 y 3)))) (sqrt.f64 (.f64 y 3))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 x y) 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) 1/3))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) 1/3) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 3) 3)))
(cbrt.f64 (/.f64 (/.f64 (pow.f64 x 3) (.f64 y 3)) (pow.f64 (.f64 y 3) 2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) 1/3)))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) 1/3)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) 1/3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sqrt.f64 (*.f64 y 3))))) 1)
(.f64 x (pow.f64 (.f64 y 3) -1/2))
(.f64 x (neg.f64 (/.f64 -1 (sqrt.f64 (.f64 y 3)))))
(.f64 (/.f64 x (sqrt.f64 (.f64 y 3))) 1)
(.f64 1 (/.f64 x (sqrt.f64 (.f64 y 3))))
(.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))) (sqrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))
(.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (/.f64 x y) 1/3)))
(.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3)) (/.f64 (sqrt.f64 x) 1))
(.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))) (cbrt.f64 (/.f64 (.f64 x x) (.f64 y 3))))
(.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 y 3))))
(.f64 (cbrt.f64 (/.f64 (.f64 x x) (.f64 y 3))) (cbrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))))
(.f64 (cbrt.f64 (/.f64 (.f64 x x) (.f64 y 3))) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sqrt.f64 (.f64 y 3))))
(.f64 (pow.f64 (.f64 y 3) -1/2) x)
(.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 (.f64 y 3))))
(.f64 (sqrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (.f64 y 3))))) (neg.f64 (sqrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (*.f64 y 3)))))))
(.f64 (.f64 (cbrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (.f64 y 3))))) (cbrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (.f64 y 3)))))) (neg.f64 (cbrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (*.f64 y 3)))))))
(.f64 (/.f64 x (pow.f64 (.f64 y 3) 1/4)) (/.f64 1 (pow.f64 (*.f64 y 3) 1/4)))
(.f64 (/.f64 1 (pow.f64 (.f64 y 3) 1/4)) (/.f64 x (pow.f64 (*.f64 y 3) 1/4)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 3)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y 3))) (/.f64 x (cbrt.f64 (sqrt.f64 (*.f64 y 3)))))
(*.f64 (/.f64 x (sqrt.f64 3)) (/.f64 1 (sqrt.f64 y)))
(.f64 (/.f64 x (cbrt.f64 (sqrt.f64 (.f64 y 3)))) (/.f64 1 (cbrt.f64 (*.f64 y 3))))
(.f64 -1 (/.f64 x (neg.f64 (sqrt.f64 (.f64 y 3)))))
(.f64 (neg.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3))))) (neg.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3))))))
(.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 x x) (.f64 y 3)))) (neg.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3))))))
(.f64 (/.f64 -1 (sqrt.f64 (.f64 y 3))) (neg.f64 x))
(.f64 (/.f64 (sqrt.f64 x) 1) (sqrt.f64 (.f64 (/.f64 x y) 1/3)))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) (sqrt.f64 3)))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 3)) (/.f64 (sqrt.f64 x) (sqrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (.f64 y 3))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 (*.f64 y 3)))))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 (.f64 y 3)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y 3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sqrt.f64 (.f64 y 3))))
(.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (.f64 y 3))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (.f64 y 3))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (.f64 y 3) 1/4)) (/.f64 (cbrt.f64 x) (pow.f64 (*.f64 y 3) 1/4)))
(.f64 (/.f64 (cbrt.f64 x) (pow.f64 (.f64 y 3) 1/4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (*.f64 y 3) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 3)))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 3)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 y 3))) (cbrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (.f64 y 3))) (cbrt.f64 x))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (.f64 y 3)) (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (.f64 y 3)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(.f64 (neg.f64 (sqrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (.f64 y 3)))))) (sqrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (*.f64 y 3))))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (.f64 y 3))))) (cbrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (.f64 y 3))))))) (cbrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (*.f64 y 3))))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))))) (sqrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 x x) (.f64 y 3))))) (cbrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))))
(pow.f64 (/.f64 x (sqrt.f64 (*.f64 y 3))) 1)
(pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))) 3)
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 y 3))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 y 3)) x) -1)
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 (*.f64 y 3)))))
(neg.f64 (/.f64 (/.f64 x (neg.f64 (sqrt.f64 (*.f64 y 3)))) 1))
(sqrt.f64 (/.f64 (.f64 x x) (.f64 y 3)))
(log.f64 (exp.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sqrt.f64 (*.f64 y 3))))))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 y 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 3) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))
(exp.f64 (log.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))
(log1p.f64 (expm1.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y 3)))) 1)
(.f64 (sqrt.f64 (.f64 y 3)) 1)
(.f64 (sqrt.f64 (.f64 y 3)) (pow.f64 1 1/2))
(.f64 1 (sqrt.f64 (.f64 y 3)))
(.f64 (pow.f64 (.f64 y 3) 1/4) (pow.f64 (*.f64 y 3) 1/4))
(.f64 (pow.f64 (.f64 y 3) 1/4) (neg.f64 (neg.f64 (pow.f64 (*.f64 y 3) 1/4))))
(*.f64 (sqrt.f64 y) (sqrt.f64 3))
(*.f64 (sqrt.f64 y) (neg.f64 (neg.f64 (sqrt.f64 3))))
(*.f64 (sqrt.f64 3) (sqrt.f64 y))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 y 3))) (cbrt.f64 (*.f64 y 3)))
(.f64 (cbrt.f64 (.f64 y 3)) (cbrt.f64 (sqrt.f64 (*.f64 y 3))))
(.f64 (cbrt.f64 (.f64 y 3)) (neg.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 y 3))))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (.f64 y 3)))) (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 y 3))))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 y 3))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y 3))))
(.f64 (.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (.f64 y 3)))) (cbrt.f64 (neg.f64 (sqrt.f64 (.f64 y 3))))) (neg.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (*.f64 y 3))))))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 y 3))))
(.f64 (neg.f64 (pow.f64 (.f64 y 3) 1/4)) (neg.f64 (pow.f64 (*.f64 y 3) 1/4)))
(*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 3)))
(.f64 (neg.f64 (cbrt.f64 (.f64 y 3))) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 y 3)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 y 3)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 y 3)) 1/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) 1/2))
(.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (.f64 y 3))))) (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 y 3)))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (.f64 y 3)))) (cbrt.f64 (neg.f64 (sqrt.f64 (.f64 y 3)))))) (cbrt.f64 (neg.f64 (sqrt.f64 (*.f64 y 3)))))
(.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 y 3) 1/4))) (pow.f64 (*.f64 y 3) 1/4))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 y))) (sqrt.f64 3))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (.f64 y 3)))) (cbrt.f64 (sqrt.f64 (*.f64 y 3))))
(pow.f64 (*.f64 y 3) 1/2)
(pow.f64 (sqrt.f64 (*.f64 y 3)) 1)
(pow.f64 (pow.f64 (*.f64 y 3) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y 3))) 3)
(pow.f64 (pow.f64 (*.f64 y 3) 3/2) 1/3)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 y 3))))
(fabs.f64 (sqrt.f64 (*.f64 y 3)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y 3))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 y 3)))))
(cbrt.f64 (pow.f64 (*.f64 y 3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y 3))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y 3))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y 3))))

Outputs
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(/.f64 (/.f64 x 3) y)
(*.f64 (/.f64 x y) 1/3)
(/.f64 x (*.f64 y (pow.f64 (sqrt.f64 3) 2)))
(/.f64 (/.f64 x 3) y)
(*.f64 (/.f64 x y) 1/3)
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(.f64 (.f64 (cbrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (.f64 y 3))))) (cbrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (.f64 y 3)))))) (neg.f64 (cbrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (*.f64 y 3)))))))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(.f64 (/.f64 x (pow.f64 (.f64 y 3) 1/4)) (/.f64 1 (pow.f64 (*.f64 y 3) 1/4)))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(.f64 (/.f64 1 (pow.f64 (.f64 y 3) 1/4)) (/.f64 x (pow.f64 (*.f64 y 3) 1/4)))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 3)))
(*.f64 (/.f64 x (sqrt.f64 3)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 3)) (sqrt.f64 y))
(.f64 (/.f64 1 (cbrt.f64 (.f64 y 3))) (/.f64 x (cbrt.f64 (sqrt.f64 (*.f64 y 3)))))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 (.f64 y 3))) x) (cbrt.f64 (sqrt.f64 (*.f64 y 3))))
(/.f64 (/.f64 x (cbrt.f64 (.f64 y 3))) (cbrt.f64 (sqrt.f64 (.f64 y 3))))
(*.f64 (/.f64 x (sqrt.f64 3)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 3)) (sqrt.f64 y))
(.f64 (/.f64 x (cbrt.f64 (sqrt.f64 (.f64 y 3)))) (/.f64 1 (cbrt.f64 (*.f64 y 3))))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 (.f64 y 3))) x) (cbrt.f64 (sqrt.f64 (*.f64 y 3))))
(/.f64 (/.f64 x (cbrt.f64 (.f64 y 3))) (cbrt.f64 (sqrt.f64 (.f64 y 3))))
(.f64 -1 (/.f64 x (neg.f64 (sqrt.f64 (.f64 y 3)))))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(.f64 (neg.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3))))) (neg.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3))))))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 x x) (.f64 y 3)))) (neg.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3))))))
(.f64 (cbrt.f64 (/.f64 x (/.f64 y (/.f64 x 3)))) (cbrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))))
(.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 x 3) y) x)) (cbrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) (/.f64 x 3))) (cbrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))
(.f64 (/.f64 -1 (sqrt.f64 (.f64 y 3))) (neg.f64 x))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(.f64 (/.f64 (sqrt.f64 x) 1) (sqrt.f64 (.f64 (/.f64 x y) 1/3)))
(.f64 (sqrt.f64 (/.f64 (.f64 1/3 x) y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 (/.f64 x 3) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (/.f64 x y) 1/3)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) (sqrt.f64 3)))
(*.f64 (/.f64 x (sqrt.f64 3)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 3)) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 3)) (/.f64 (sqrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 3)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 3)) (sqrt.f64 y))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (.f64 y 3))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 (*.f64 y 3)))))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 (.f64 y 3))) x) (cbrt.f64 (sqrt.f64 (*.f64 y 3))))
(/.f64 (/.f64 x (cbrt.f64 (.f64 y 3))) (cbrt.f64 (sqrt.f64 (.f64 y 3))))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 (.f64 y 3)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y 3))))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 (.f64 y 3))) x) (cbrt.f64 (sqrt.f64 (*.f64 y 3))))
(/.f64 (/.f64 x (cbrt.f64 (.f64 y 3))) (cbrt.f64 (sqrt.f64 (.f64 y 3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sqrt.f64 (.f64 y 3))))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (.f64 y 3))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (.f64 y 3))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (.f64 y 3) 1/4)) (/.f64 (cbrt.f64 x) (pow.f64 (*.f64 y 3) 1/4)))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(.f64 (/.f64 (cbrt.f64 x) (pow.f64 (.f64 y 3) 1/4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (*.f64 y 3) 1/4)))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 3)))
(*.f64 (/.f64 x (sqrt.f64 3)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 3)) (sqrt.f64 y))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 3)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 3)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 3)) (sqrt.f64 y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 y 3))) (cbrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))
(.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 y 3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (.f64 y 3))) (cbrt.f64 x))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (.f64 y 3)) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (.f64 y 3)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(.f64 (neg.f64 (sqrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (.f64 y 3)))))) (sqrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (*.f64 y 3))))))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (.f64 y 3))))) (cbrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (.f64 y 3))))))) (cbrt.f64 (/.f64 x (neg.f64 (sqrt.f64 (*.f64 y 3))))))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))))) (sqrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 x x) (.f64 y 3))))) (cbrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))))
(.f64 (cbrt.f64 (/.f64 x (/.f64 y (/.f64 x 3)))) (cbrt.f64 (/.f64 x (sqrt.f64 (.f64 y 3)))))
(.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 x 3) y) x)) (cbrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))
(.f64 (cbrt.f64 (.f64 (/.f64 x y) (/.f64 x 3))) (cbrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))
(pow.f64 (/.f64 x (sqrt.f64 (*.f64 y 3))) 1)
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))) 2)
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))) 3)
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 y 3))) 3) 1/3)
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 y 3)) x) -1)
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 (*.f64 y 3)))))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(neg.f64 (/.f64 (/.f64 x (neg.f64 (sqrt.f64 (*.f64 y 3)))) 1))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(sqrt.f64 (/.f64 (.f64 x x) (.f64 y 3)))
(sqrt.f64 (/.f64 x (/.f64 y (/.f64 x 3))))
(sqrt.f64 (*.f64 (/.f64 (/.f64 x 3) y) x))
(sqrt.f64 (*.f64 (/.f64 x y) (/.f64 x 3)))
(log.f64 (exp.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sqrt.f64 (*.f64 y 3))))))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 y 3))) 3))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 3) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(exp.f64 (log.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(log1p.f64 (expm1.f64 (/.f64 x (sqrt.f64 (*.f64 y 3)))))
(/.f64 x (sqrt.f64 (*.f64 y 3)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y 3)))) 1)
(sqrt.f64 (*.f64 y 3))
(.f64 (sqrt.f64 (.f64 y 3)) 1)
(sqrt.f64 (*.f64 y 3))
(.f64 (sqrt.f64 (.f64 y 3)) (pow.f64 1 1/2))
(sqrt.f64 (*.f64 y 3))
(.f64 1 (sqrt.f64 (.f64 y 3)))
(sqrt.f64 (*.f64 y 3))
(.f64 (pow.f64 (.f64 y 3) 1/4) (pow.f64 (*.f64 y 3) 1/4))
(sqrt.f64 (*.f64 y 3))
(.f64 (pow.f64 (.f64 y 3) 1/4) (neg.f64 (neg.f64 (pow.f64 (*.f64 y 3) 1/4))))
(sqrt.f64 (*.f64 y 3))
(*.f64 (sqrt.f64 y) (sqrt.f64 3))
(*.f64 (sqrt.f64 3) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (neg.f64 (sqrt.f64 3))))
(*.f64 (sqrt.f64 3) (sqrt.f64 y))
(*.f64 (sqrt.f64 3) (sqrt.f64 y))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 y 3))) (cbrt.f64 (*.f64 y 3)))
(.f64 (cbrt.f64 (.f64 y 3)) (cbrt.f64 (sqrt.f64 (*.f64 y 3))))
(.f64 (cbrt.f64 (.f64 y 3)) (cbrt.f64 (sqrt.f64 (*.f64 y 3))))
(.f64 (cbrt.f64 (.f64 y 3)) (neg.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 y 3))))))
(.f64 (cbrt.f64 (.f64 y 3)) (cbrt.f64 (sqrt.f64 (*.f64 y 3))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (.f64 y 3)))) (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 y 3))))))
(sqrt.f64 (*.f64 y 3))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 y 3))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y 3))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 y 3))) (sqrt.f64 (cbrt.f64 (*.f64 y 3))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y 3))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 y 3))) (sqrt.f64 (cbrt.f64 (*.f64 y 3))))
(.f64 (.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (.f64 y 3)))) (cbrt.f64 (neg.f64 (sqrt.f64 (.f64 y 3))))) (neg.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (*.f64 y 3))))))
(sqrt.f64 (*.f64 y 3))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 y 3))))
(sqrt.f64 (*.f64 y 3))
(.f64 (neg.f64 (pow.f64 (.f64 y 3) 1/4)) (neg.f64 (pow.f64 (*.f64 y 3) 1/4)))
(sqrt.f64 (*.f64 y 3))
(*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 3)))
(*.f64 (sqrt.f64 3) (sqrt.f64 y))
(.f64 (neg.f64 (cbrt.f64 (.f64 y 3))) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 y 3)))))
(.f64 (cbrt.f64 (.f64 y 3)) (cbrt.f64 (sqrt.f64 (*.f64 y 3))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 y 3)))
(sqrt.f64 (*.f64 y 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 y 3)) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y 3))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 y 3))) (sqrt.f64 (cbrt.f64 (*.f64 y 3))))
(.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y 3))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 y 3))) (sqrt.f64 (cbrt.f64 (*.f64 y 3))))
(.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (.f64 y 3))))) (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 y 3)))))
(sqrt.f64 (*.f64 y 3))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (.f64 y 3)))) (cbrt.f64 (neg.f64 (sqrt.f64 (.f64 y 3)))))) (cbrt.f64 (neg.f64 (sqrt.f64 (*.f64 y 3)))))
(sqrt.f64 (*.f64 y 3))
(.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 y 3) 1/4))) (pow.f64 (*.f64 y 3) 1/4))
(sqrt.f64 (*.f64 y 3))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 y))) (sqrt.f64 3))
(*.f64 (sqrt.f64 3) (sqrt.f64 y))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (.f64 y 3)))) (cbrt.f64 (sqrt.f64 (*.f64 y 3))))
(.f64 (cbrt.f64 (.f64 y 3)) (cbrt.f64 (sqrt.f64 (*.f64 y 3))))
(pow.f64 (*.f64 y 3) 1/2)
(sqrt.f64 (*.f64 y 3))
(pow.f64 (sqrt.f64 (*.f64 y 3)) 1)
(sqrt.f64 (*.f64 y 3))
(pow.f64 (pow.f64 (*.f64 y 3) 1/4) 2)
(sqrt.f64 (*.f64 y 3))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y 3))) 3)
(sqrt.f64 (*.f64 y 3))
(pow.f64 (pow.f64 (*.f64 y 3) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 y 3) 3/2))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 y 3))))
(sqrt.f64 (*.f64 y 3))
(fabs.f64 (sqrt.f64 (*.f64 y 3)))
(sqrt.f64 (*.f64 y 3))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y 3))))
(sqrt.f64 (*.f64 y 3))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 y 3)))))
(sqrt.f64 (*.f64 y 3))
(cbrt.f64 (pow.f64 (*.f64 y 3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y 3))))
(sqrt.f64 (*.f64 y 3))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y 3))))
(sqrt.f64 (*.f64 y 3))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y 3))))
(sqrt.f64 (*.f64 y 3))

eval281.0ms (7.9%)

Compiler: Compiled 7198 to 5042 computations (30% saved)

prune129.0ms (3.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	562	3	565
Fresh	3	0	3
Picked	1	0	1
Done	4	1	5
Total	570	4	574

Accurracy

100.0%

Counts

574 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (/.f64 x y) 3)
▶	99.7%	(/.f64 (/.f64 x 3) y)
▶	99.6%	(/.f64 (*.f64 x 1/3) y)
✓	99.6%	(/.f64 x (*.f64 y 3))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize5.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 (*.f64 x 1/3) y)
✓	99.5%	(*.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	@	-inf	(*.f64 x 1/3)
0.0ms	x	@	inf	(*.f64 x 1/3)
0.0ms	x	@	0	(*.f64 x 1/3)
0.0ms	x	@	0	(/.f64 (*.f64 x 1/3) y)
0.0ms	y	@	-inf	(/.f64 (*.f64 x 1/3) y)

rewrite103.0ms (2.9%)

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))))))))

simplify63.0ms (1.8%)

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 Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 x 3) y)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite77.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1676×	`add-sqr-sqrt`
1650×	`*-un-lft-identity`
1556×	`add-cube-cbrt`
1540×	`add-cbrt-cube`
150×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	155	13
2	2048	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify63.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1580×	`distribute-lft-in`
1548×	`associate-*r/`
998×	`associate-*l/`
728×	`associate-+l-`
672×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	112	1019
1	275	983
2	1072	983
3	5485	983

Stop Event

1×	node limit

Counts

63 → 51

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

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

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(/.f64 (/.f64 x y) 3)

Compiler

Compiled 13 to 6 computations (53.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (1.5%)

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)))))))

simplify46.0ms (1.3%)

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))

eval34.0ms (1%)

Compiler: Compiled 1413 to 882 computations (37.6% saved)

prune18.0ms (0.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	147	4	151

Accurracy

100.0%

Counts

151 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (/.f64 x y) 3)
✓	99.7%	(/.f64 (/.f64 x 3) y)
✓	99.6%	(/.f64 (*.f64 x 1/3) y)
✓	99.6%	(/.f64 x (*.f64 y 3))

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes78.0ms (2.2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

49.0ms	x
10.0ms	(/.f64 x (*.f64 y 3))
7.0ms	(*.f64 y 3)
7.0ms	y

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(/.f64 x (*.f64 y 3))`
99.7%	1	`(*.f64 y 3)`

Compiler

Compiled 104 to 69 computations (33.7% saved)

regimes19.0ms (0.5%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(*.f64 y 3)
5.0ms	x
4.0ms	y
4.0ms	(/.f64 x (*.f64 y 3))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(/.f64 x (*.f64 y 3))`
99.6%	1	`(*.f64 y 3)`

Compiler

Compiled 40 to 27 computations (32.5% saved)

regimes7.0ms (0.2%)

Accuracy

Total -0.2b remaining (-63.9%)

Threshold costs -0.20b (-63.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`y`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	17	52

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

soundness207.0ms (5.8%)

Algorithm

2×	egg-herbie

Rules

1326×	`associate-/r/`
1144×	`distribute-rgt-in`
1106×	`distribute-lft-in`
1104×	`associate-+r+`
1020×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	100	1064
1	247	1046
2	900	1046
3	4044	1046
0	397	6581
1	1001	5557
2	4837	5557

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 97 to 74 computations (23.7% saved)

end23.0ms (0.6%)

Compiler: Compiled 22 to 14 computations (36.4% saved)

Details

analyze44.0ms (1.2%)

sample1.1s (31%)

preprocess5.0ms (0.1%)

simplify13.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite81.0ms (2.3%)

simplify51.0ms (1.4%)

eval11.0ms (0.3%)

prune12.0ms (0.3%)

localize7.0ms (0.2%)

series0.0ms (0%)

rewrite112.0ms (3.2%)

simplify59.0ms (1.7%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite69.0ms (1.9%)

simplify59.0ms (1.6%)

localize14.0ms (0.4%)

series7.0ms (0.2%)

rewrite70.0ms (2%)

simplify90.0ms (2.5%)

localize9.0ms (0.3%)

series6.0ms (0.2%)

rewrite119.0ms (3.3%)

simplify70.0ms (2%)

localize11.0ms (0.3%)

series47.0ms (1.3%)

rewrite144.0ms (4%)

simplify99.0ms (2.8%)

eval281.0ms (7.9%)

prune129.0ms (3.6%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite103.0ms (2.9%)

simplify63.0ms (1.8%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite77.0ms (2.2%)

simplify63.0ms (1.8%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite55.0ms (1.5%)

simplify46.0ms (1.3%)

eval34.0ms (1%)

prune18.0ms (0.5%)

regimes78.0ms (2.2%)

regimes19.0ms (0.5%)

regimes7.0ms (0.2%)

simplify5.0ms (0.1%)

soundness207.0ms (5.8%)

end23.0ms (0.6%)

Profiling