Details

analyze98.0ms (2.9%)

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 (33%)

Results

1.1s	8256×	body	256	valid
28.0ms	386×	body	256	infinite

Bogosity

preprocess13.0ms (0.4%)

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

99.7%

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.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	@	0	(/.f64 x (*.f64 y 3))
1.0ms	x	@	inf	(/.f64 x (*.f64 y 3))
0.0ms	y	@	inf	(/.f64 x (*.f64 y 3))
0.0ms	x	@	-inf	(/.f64 x (*.f64 y 3))

rewrite87.0ms (2.6%)

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
((-.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 (+.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)))))

simplify57.0ms (1.7%)

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)

prune77.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	5	50

Accurracy

100.0%

Counts

50 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(pow.f64 (*.f64 3 (/.f64 y x)) -1)
✓	99.7%	(/.f64 x (*.f64 y 3))
▶	99.5%	(*.f64 (/.f64 x y) 1/3)
▶	99.6%	(*.f64 (/.f64 1 y) (/.f64 x 3))
▶	99.4%	(*.f64 (/.f64 1/3 y) x)

Compiler

Compiled 39 to 29 computations (25.6% saved)

localize5.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(*.f64 (/.f64 1/3 y) x)
✓	99.4%	(/.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	x	@	inf	(*.f64 (/.f64 1/3 y) x)
0.0ms	x	@	-inf	(*.f64 (/.f64 1/3 y) x)

rewrite54.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs
((-.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 (+.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)))))

simplify57.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

67 → 47

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

rewrite57.0ms (1.7%)

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

((-.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))))

simplify59.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

69 → 49

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify62.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

46 → 26

Calls

Call 1

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

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

localize7.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(*.f64 3 (/.f64 y x))
✓	98.7%	(pow.f64 (*.f64 3 (/.f64 y x)) -1)

Compiler

Compiled 21 to 11 computations (47.6% saved)

series7.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

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

rewrite91.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify94.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

72 → 53

Calls

Call 1

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

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

eval125.0ms (3.7%)

Compiler: Compiled 1440 to 914 computations (36.5% saved)

prune89.0ms (2.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	171	4	175
Fresh	0	0	0
Picked	1	0	1
Done	3	1	4
Total	175	5	180

Accurracy

100.0%

Counts

180 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (/.f64 x y) 3)
▶	99.6%	(/.f64 (/.f64 1 y) (/.f64 3 x))
▶	99.5%	(/.f64 (*.f64 x 1/3) y)
✓	99.7%	(/.f64 x (*.f64 y 3))
▶	98.9%	(/.f64 1/3 (/.f64 y x))

Compiler

Compiled 37 to 27 computations (27% saved)

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	98.9%	(/.f64 1/3 (/.f64 y x))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite122.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify60.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

52 → 30

Calls

Call 1

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

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

localize5.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(/.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	x	@	inf	(/.f64 (*.f64 x 1/3) y)

rewrite105.0ms (3.1%)

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

((-.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)))))

simplify59.0ms (1.7%)

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))

localize45.0ms (1.3%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(/.f64 (/.f64 1 y) (/.f64 3 x))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite62.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify58.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

66 → 58

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series49.0ms (1.5%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
44.0ms	x	@	-inf	(/.f64 (/.f64 x y) 3)
4.0ms	y	@	0	(/.f64 (/.f64 x y) 3)
0.0ms	y	@	inf	(/.f64 (/.f64 x y) 3)
0.0ms	x	@	0	(/.f64 (/.f64 x y) 3)
0.0ms	y	@	-inf	(/.f64 (/.f64 x y) 3)

rewrite181.0ms (5.4%)

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

((-.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))))

simplify149.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

53 → 34

Calls

Call 1

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

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

eval41.0ms (1.2%)

Compiler: Compiled 1793 to 1187 computations (33.8% saved)

prune28.0ms (0.8%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	184	5	189

Accurracy

100.0%

Counts

189 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 x y) 3)
✓	99.6%	(/.f64 (/.f64 1 y) (/.f64 3 x))
✓	99.5%	(/.f64 (*.f64 x 1/3) y)
✓	99.7%	(/.f64 x (*.f64 y 3))
✓	98.9%	(/.f64 1/3 (/.f64 y x))

Compiler

Compiled 37 to 27 computations (27% saved)

regimes63.0ms (1.9%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

44.0ms	(/.f64 x (*.f64 y 3))
6.0ms	x
6.0ms	y
6.0ms	(*.f64 y 3)

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 71 to 46 computations (35.2% saved)

regimes20.0ms (0.6%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(/.f64 x (*.f64 y 3))
5.0ms	x
4.0ms	(*.f64 y 3)
4.0ms	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 45 to 30 computations (33.3% saved)

regimes8.0ms (0.2%)

Accuracy

Total -0.6b remaining (-192%)

Threshold costs -0.6b (-192%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	y

Results

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	16	52

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

soundness0.0ms (0%)

end48.0ms (1.4%)

Compiler: Compiled 22 to 13 computations (40.9% saved)

Details

analyze98.0ms (2.9%)

sample1.1s (33%)

preprocess13.0ms (0.4%)

simplify13.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite87.0ms (2.6%)

simplify57.0ms (1.7%)

eval11.0ms (0.3%)

prune77.0ms (2.3%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite54.0ms (1.6%)

simplify57.0ms (1.7%)

localize8.0ms (0.2%)

series0.0ms (0%)

rewrite57.0ms (1.7%)

simplify59.0ms (1.8%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite54.0ms (1.6%)

simplify62.0ms (1.8%)

localize7.0ms (0.2%)

series7.0ms (0.2%)

rewrite91.0ms (2.7%)

simplify94.0ms (2.8%)

eval125.0ms (3.7%)

prune89.0ms (2.7%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite122.0ms (3.6%)

simplify60.0ms (1.8%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite105.0ms (3.1%)

simplify59.0ms (1.7%)

localize45.0ms (1.3%)

series2.0ms (0.1%)

rewrite62.0ms (1.9%)

simplify58.0ms (1.7%)

localize4.0ms (0.1%)

series49.0ms (1.5%)

rewrite181.0ms (5.4%)

simplify149.0ms (4.4%)

eval41.0ms (1.2%)

prune28.0ms (0.8%)

regimes63.0ms (1.9%)

regimes20.0ms (0.6%)

regimes8.0ms (0.2%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end48.0ms (1.4%)

Profiling