Details

analyze70.0ms (3.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	5
46.9%	46.8%	53.1%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
71.1%	71%	28.9%	0.1%	0%	0%	0%	8
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	9
85%	84.9%	15%	0.1%	0%	0%	0%	10
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	11
92.3%	92.2%	7.7%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.1s (54%)

Results

1.0s

8256×

body

256

valid

Bogosity

preprocess4.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	9	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 x y))
(/.f64 y (+.f64 y x))

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify43.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	7	13

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 x (+.f64 x y))

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))

Compiler

Compiled 12 to 4 computations (66.7% saved)

series6.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/.f64 x (+.f64 x y))
1.0ms	x	@	0	(/.f64 x (+.f64 x y))
0.0ms	x	@	-inf	(/.f64 x (+.f64 x y))
0.0ms	y	@	inf	(/.f64 x (+.f64 x y))
0.0ms	y	@	-inf	(/.f64 x (+.f64 x y))

rewrite57.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1648×	`add-sqr-sqrt`
1632×	`*-un-lft-identity`
1530×	`add-cube-cbrt`
1512×	`add-cbrt-cube`
146×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	135	13
2	1976	13

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

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

Outputs

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

simplify59.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1430×	`associate-+r+`
1076×	`associate-+l+`
788×	`associate-/l*`
692×	`times-frac`
692×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	1556
1	325	1466
2	1251	1364
3	5637	1364

Stop Event

1×	node limit

Counts

58 → 66

Calls

Call 1

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

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

eval13.0ms (0.7%)

Compiler: Compiled 856 to 354 computations (58.6% saved)

prune10.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	4	67

Error

Counts

67 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
✓	0.0b	(/.f64 x (+.f64 x y))
▶	32.1b	(/.f64 x y)
	30.8b	1

Compiler

Compiled 25 to 17 computations (32% saved)

localize3.0ms (0.2%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 x (+.f64 x y))
✓	0.3b	(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
✓	5.5b	(cbrt.f64 (/.f64 x (+.f64 x y)))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series31.0ms (1.5%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
3.0ms	y	@	inf	(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
3.0ms	x	@	-inf	(cbrt.f64 (/.f64 x (+.f64 x y)))
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)

rewrite78.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1120×	`associate-*r/`
888×	`*-commutative`
826×	`associate-/r*`
772×	`associate-*l/`
624×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	220	30
2	2703	30

Stop Event

1×	node limit

Counts

2 → 233

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 x (+.f64 x y)))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)

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

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

simplify115.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

938×	`associate-/l*`
876×	`associate-r`
784×	`*-commutative`
738×	`associate-l`
654×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	709	10123
1	1970	9655

Stop Event

1×	node limit

Counts

257 → 392

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/3 (/.f64 y x)))
(+.f64 1 (+.f64 (.f64 -1/3 (/.f64 y x)) (.f64 -1/3 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) (pow.f64 x 2)))))
(+.f64 (.f64 -1/3 (/.f64 (+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/27 (pow.f64 y 3)) (+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) y)) (.f64 1/3 (.f64 y (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2)))))))) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -1/3 (/.f64 y x)) (.f64 -1/3 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) (pow.f64 x 2))))))
(pow.f64 (cbrt.f64 -1) 2)
(+.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 y x))))
(+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 y 2))) (pow.f64 y 2)) (.f64 (cbrt.f64 -1) (pow.f64 x 2)))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 y x)))))
(+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 y 2))) (pow.f64 y 2)) (.f64 (cbrt.f64 -1) (pow.f64 x 2)))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (.f64 1/3 (/.f64 (+.f64 (pow.f64 y 3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (.f64 y (+.f64 (pow.f64 y 2) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 y 2))))))) (.f64 -1/27 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (cbrt.f64 -1) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 y x))))))
1
(+.f64 1 (*.f64 -1/3 (/.f64 y x)))
(+.f64 1 (+.f64 (.f64 -1/3 (/.f64 y x)) (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 -1/3 (/.f64 y x)) (+.f64 (.f64 -14/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
1
(+.f64 (.f64 -2/3 (/.f64 y x)) (+.f64 1 (.f64 -1/3 (/.f64 y x))))
(+.f64 (.f64 -2/3 (/.f64 y x)) (+.f64 1 (+.f64 (.f64 -1/3 (/.f64 y x)) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) (pow.f64 x 2))) (.f64 1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))))))
(+.f64 1 (+.f64 (.f64 -2/3 (/.f64 y x)) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -1/27 (pow.f64 y 3)) (+.f64 (pow.f64 y 3) (+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) y)) (.f64 1/3 (.f64 y (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2)))))))) (pow.f64 x 3))) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/27 (pow.f64 y 3)) (+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) y)) (.f64 1/3 (.f64 y (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2)))))))) (pow.f64 x 3))) (+.f64 (.f64 -1/3 (/.f64 (.f64 y (+.f64 (.f64 -2/3 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2)))) (.f64 1/9 (pow.f64 y 2)))) (pow.f64 x 3))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) y) (pow.f64 x 3))) (+.f64 (.f64 -1/3 (/.f64 y x)) (+.f64 (.f64 2/9 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) y) (pow.f64 x 3))) (.f64 1/9 (/.f64 (.f64 y (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2)))) (pow.f64 x 3)))))))))))))))
(pow.f64 (cbrt.f64 -1) 6)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) y)) (.f64 -1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) y))) x)) (pow.f64 (cbrt.f64 -1) 6))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) y)) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) y))) x)) (+.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (.f64 -2/3 (.f64 (cbrt.f64 -1) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 y 2))) (pow.f64 y 2)))) (.f64 1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 y 2))))) (pow.f64 x 2)) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (+.f64 (.f64 1/3 (/.f64 (+.f64 (pow.f64 y 2) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 y 2)))) (pow.f64 x 2))) (.f64 2/9 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) y)) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) y))) x)) (+.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (.f64 -2/3 (.f64 (cbrt.f64 -1) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 y 2))) (pow.f64 y 2)))) (.f64 1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 y 2))))) (pow.f64 x 2)) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (cbrt.f64 -1) (+.f64 (pow.f64 y 3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (.f64 y (+.f64 (pow.f64 y 2) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 y 2))))))) (.f64 -1/27 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (.f64 y (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 y 2))) (pow.f64 y 2)))))) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (.f64 y (+.f64 (pow.f64 y 2) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 y 2))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (.f64 y (+.f64 (.f64 -2/3 (.f64 (cbrt.f64 -1) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 y 2))) (pow.f64 y 2)))) (.f64 1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 y 2))))))) (.f64 1/3 (+.f64 (.f64 -1/27 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (pow.f64 y 3) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (.f64 y (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 y 2))) (pow.f64 y 2))))))))))) (pow.f64 x 3))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (pow.f64 y 2) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 y 2)))) (pow.f64 x 2))) (.f64 2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 x (+.f64 x y))))) 1)
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 1)
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 1 1/3))
(*.f64 1 (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) 1/6) (pow.f64 (/.f64 x (+.f64 x y)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 1 (+.f64 x y))))
(*.f64 (cbrt.f64 x) (/.f64 1 (cbrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 x) (pow.f64 (/.f64 1 (+.f64 x y)) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x y))) (cbrt.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x y))) (cbrt.f64 x))
(*.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 1/3) (pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 1/3))
(.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 (.f64 x x) (*.f64 y y)))) (cbrt.f64 (-.f64 x y)))
(.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)))) (cbrt.f64 (fma.f64 x x (.f64 y (-.f64 y x)))))
(/.f64 1 (cbrt.f64 (/.f64 (+.f64 x y) x)))
(/.f64 1 (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 x)))
(/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y)))
(/.f64 (sqrt.f64 (cbrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (-.f64 (neg.f64 x) y)))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (cbrt.f64 x))))
(/.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 (+.f64 x y))))
(/.f64 (*.f64 1 (cbrt.f64 (neg.f64 x))) (cbrt.f64 (-.f64 (neg.f64 x) y)))
(/.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) 1/6) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
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(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))) (cbrt.f64 x)) (sqrt.f64 (+.f64 x y)))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 2) 3) 1) (cbrt.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 2) 3) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 x)))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 2) 3) (cbrt.f64 x)) (cbrt.f64 (+.f64 x y)))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 2) 3) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (-.f64 (neg.f64 x) y)))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 2) 3) (neg.f64 (cbrt.f64 x))) (neg.f64 (cbrt.f64 (+.f64 x y))))
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x (+.f64 x y)))) (pow.f64 (cbrt.f64 (+.f64 x y)) 2))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2)) (cbrt.f64 (-.f64 (neg.f64 x) y)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2)) (neg.f64 (cbrt.f64 (+.f64 x y))))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) 1) (cbrt.f64 (+.f64 x y)))
(/.f64 (*.f64 (/.f64 x 1) 1) (+.f64 x y))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) 1) (sqrt.f64 (+.f64 x y)))
(/.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (.f64 (pow.f64 (/.f64 x (+.f64 x y)) 1/6) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 x (+.f64 x y)))) (sqrt.f64 (-.f64 (neg.f64 x) y)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (+.f64 x y)))
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 (+.f64 x y)))) (pow.f64 (cbrt.f64 (+.f64 x y)) 2))
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y)))) (pow.f64 (cbrt.f64 (+.f64 x y)) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) (cbrt.f64 (/.f64 (+.f64 x y) x)))) (cbrt.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x y)) 1)) (/.f64 (sqrt.f64 (+.f64 x y)) x))
(/.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1)) (/.f64 (cbrt.f64 (+.f64 x y)) x))
(/.f64 (/.f64 (neg.f64 x) 1) (-.f64 (neg.f64 x) y))
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x y))) (neg.f64 (sqrt.f64 (+.f64 x y))))
(/.f64 (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (neg.f64 (cbrt.f64 (+.f64 x y))))
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (neg.f64 x) y))) (sqrt.f64 (-.f64 (neg.f64 x) y)))
(/.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 (-.f64 (neg.f64 x) y)) (cbrt.f64 (-.f64 (neg.f64 x) y)))) (cbrt.f64 (-.f64 (neg.f64 x) y)))
(/.f64 (/.f64 (neg.f64 x) -1) (+.f64 x y))
(/.f64 (/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(/.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2))) (cbrt.f64 (+.f64 x y)))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) 1) (cbrt.f64 (+.f64 x y)))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x y)))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (cbrt.f64 (cbrt.f64 (+.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(/.f64 (/.f64 (/.f64 x 1) 1) (+.f64 x y))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) 1) (sqrt.f64 (+.f64 x y)))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(neg.f64 (/.f64 x (-.f64 (neg.f64 x) y)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))

Outputs
1
(+.f64 1 (*.f64 -1/3 (/.f64 y x)))
(fma.f64 -1/3 (/.f64 y x) 1)
(+.f64 1 (+.f64 (.f64 -1/3 (/.f64 y x)) (.f64 -1/3 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) (pow.f64 x 2)))))
(+.f64 1 (.f64 -1/3 (+.f64 (/.f64 y x) (/.f64 (.f64 (.f64 y y) -2/3) (.f64 x x)))))
(fma.f64 -1/3 (+.f64 (/.f64 y x) (/.f64 (.f64 y (.f64 y -2/3)) (*.f64 x x))) 1)
(+.f64 (.f64 -1/3 (/.f64 (+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/27 (pow.f64 y 3)) (+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) y)) (.f64 1/3 (.f64 y (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2)))))))) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -1/3 (/.f64 y x)) (.f64 -1/3 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) (pow.f64 x 2))))))
(fma.f64 -1/3 (/.f64 (+.f64 (pow.f64 y 3) (fma.f64 -1/27 (pow.f64 y 3) (.f64 1/3 (+.f64 (.f64 y (.f64 (.f64 y y) -2/3)) (.f64 y (.f64 (.f64 y y) -2/3)))))) (pow.f64 x 3)) (+.f64 1 (.f64 -1/3 (+.f64 (/.f64 y x) (/.f64 (.f64 (.f64 y y) -2/3) (*.f64 x x))))))
(fma.f64 -1/3 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 y 3) -2/3) 2/3) (.f64 26/27 (pow.f64 y 3))) (pow.f64 x 3)) (fma.f64 -1/3 (+.f64 (/.f64 y x) (/.f64 (.f64 y (.f64 y -2/3)) (.f64 x x))) 1))
(pow.f64 (cbrt.f64 -1) 2)
(+.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 y x))))
(+.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 1/3 (.f64 (/.f64 y x) (cbrt.f64 (cbrt.f64 -1)))))
(fma.f64 1/3 (*.f64 (/.f64 y x) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 y 2))) (pow.f64 y 2)) (.f64 (cbrt.f64 -1) (pow.f64 x 2)))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 y x)))))
(fma.f64 -1/3 (/.f64 (fma.f64 1/3 (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (.f64 y y)) (.f64 (cbrt.f64 -1) (.f64 x x))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 1/3 (*.f64 (/.f64 y x) (cbrt.f64 (cbrt.f64 -1))))))
(fma.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1) (.f64 y y)) (.f64 x (.f64 x (cbrt.f64 -1)))) (fma.f64 1/3 (.f64 (/.f64 y x) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2)))
(+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 y 2))) (pow.f64 y 2)) (.f64 (cbrt.f64 -1) (pow.f64 x 2)))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (.f64 1/3 (/.f64 (+.f64 (pow.f64 y 3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (.f64 y (+.f64 (pow.f64 y 2) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 y 2))))))) (.f64 -1/27 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (cbrt.f64 -1) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 y x))))))
(fma.f64 -1/3 (/.f64 (fma.f64 1/3 (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (.f64 y y)) (.f64 (cbrt.f64 -1) (.f64 x x))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 1/3 (+.f64 (/.f64 (+.f64 (pow.f64 y 3) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (.f64 y (fma.f64 1/3 (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (.f64 y y)))) (.f64 -1/27 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (pow.f64 x 3) (cbrt.f64 -1))) (.f64 (/.f64 y x) (cbrt.f64 (cbrt.f64 -1)))))))
(fma.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1) (.f64 y y)) (.f64 x (.f64 x (cbrt.f64 -1)))) (fma.f64 1/3 (+.f64 (.f64 (/.f64 y x) (cbrt.f64 (cbrt.f64 -1))) (/.f64 (fma.f64 -1/27 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 (pow.f64 y 3) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 y 3)))) (pow.f64 y 3))) (.f64 (pow.f64 x 3) (cbrt.f64 -1)))) (pow.f64 (cbrt.f64 -1) 2)))
1
(+.f64 1 (*.f64 -1/3 (/.f64 y x)))
(fma.f64 -1/3 (/.f64 y x) 1)
(+.f64 1 (+.f64 (.f64 -1/3 (/.f64 y x)) (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1/3 (/.f64 y x) (.f64 2/9 (/.f64 (.f64 y y) (*.f64 x x)))))
(+.f64 1 (fma.f64 -1/3 (/.f64 y x) (/.f64 (.f64 (.f64 2/9 y) y) (*.f64 x x))))
(+.f64 1 (+.f64 (.f64 -1/3 (/.f64 y x)) (+.f64 (.f64 -14/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 1 (fma.f64 -1/3 (/.f64 y x) (fma.f64 -14/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 2/9 (/.f64 (.f64 y y) (*.f64 x x))))))
(+.f64 (fma.f64 -1/3 (/.f64 y x) 1) (fma.f64 2/9 (.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (.f64 (pow.f64 y 3) -14/81) (pow.f64 x 3))))
1
(+.f64 (.f64 -2/3 (/.f64 y x)) (+.f64 1 (.f64 -1/3 (/.f64 y x))))
(fma.f64 -2/3 (/.f64 y x) (+.f64 1 (*.f64 -1/3 (/.f64 y x))))
(fma.f64 (/.f64 y x) -2/3 (fma.f64 -1/3 (/.f64 y x) 1))
(+.f64 (.f64 -2/3 (/.f64 y x)) (+.f64 1 (+.f64 (.f64 -1/3 (/.f64 y x)) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) (pow.f64 x 2))) (.f64 1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))))))
(fma.f64 -2/3 (/.f64 y x) (+.f64 1 (fma.f64 -1/3 (/.f64 y x) (fma.f64 -1/3 (/.f64 (.f64 (.f64 y y) -2/3) (.f64 x x)) (fma.f64 2/9 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -2/3 (/.f64 (.f64 (.f64 y y) -2/3) (.f64 x x)) (.f64 (/.f64 (.f64 y y) (*.f64 x x)) 1/9)))))))
(+.f64 (fma.f64 -1/3 (+.f64 (/.f64 y x) (/.f64 (.f64 y (.f64 y -2/3)) (.f64 x x))) (fma.f64 2/9 (.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 (.f64 (/.f64 y x) (/.f64 y x)) 1/9 (/.f64 (.f64 (.f64 y y) 4/9) (.f64 x x))))) (fma.f64 (/.f64 y x) -2/3 1))
(+.f64 1 (+.f64 (.f64 -2/3 (/.f64 y x)) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -1/27 (pow.f64 y 3)) (+.f64 (pow.f64 y 3) (+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) y)) (.f64 1/3 (.f64 y (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2)))))))) (pow.f64 x 3))) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/27 (pow.f64 y 3)) (+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) y)) (.f64 1/3 (.f64 y (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2)))))))) (pow.f64 x 3))) (+.f64 (.f64 -1/3 (/.f64 (.f64 y (+.f64 (.f64 -2/3 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2)))) (.f64 1/9 (pow.f64 y 2)))) (pow.f64 x 3))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) y) (pow.f64 x 3))) (+.f64 (.f64 -1/3 (/.f64 y x)) (+.f64 (.f64 2/9 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2))) y) (pow.f64 x 3))) (.f64 1/9 (/.f64 (.f64 y (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 1/3 (pow.f64 y 2)))) (pow.f64 x 3)))))))))))))))
(+.f64 1 (fma.f64 -2/3 (/.f64 y x) (fma.f64 -1/3 (/.f64 (fma.f64 -1/27 (pow.f64 y 3) (+.f64 (pow.f64 y 3) (.f64 1/3 (+.f64 (.f64 y (.f64 (.f64 y y) -2/3)) (.f64 y (.f64 (.f64 y y) -2/3)))))) (pow.f64 x 3)) (fma.f64 -1/3 (/.f64 (.f64 (.f64 y y) -2/3) (.f64 x x)) (fma.f64 2/9 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -2/3 (/.f64 (+.f64 (pow.f64 y 3) (fma.f64 -1/27 (pow.f64 y 3) (.f64 1/3 (+.f64 (.f64 y (.f64 (.f64 y y) -2/3)) (.f64 y (.f64 (.f64 y y) -2/3)))))) (pow.f64 x 3)) (fma.f64 -1/3 (/.f64 y (/.f64 (pow.f64 x 3) (fma.f64 -2/3 (.f64 (.f64 y y) -2/3) (.f64 (.f64 y y) 1/9)))) (fma.f64 -2/3 (/.f64 (.f64 (.f64 y y) -2/3) (.f64 x x)) (fma.f64 1/9 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 1/9 (/.f64 y (/.f64 (pow.f64 x 3) (.f64 (.f64 y y) -2/3))) (fma.f64 -1/3 (/.f64 y x) (fma.f64 2/9 (/.f64 y (/.f64 (pow.f64 x 3) (.f64 (.f64 y y) -2/3))) (.f64 1/9 (/.f64 y (/.f64 (pow.f64 x 3) (.f64 (*.f64 y y) -2/3))))))))))))))))
(+.f64 (fma.f64 -1/3 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 y 3) -2/3) 2/3) (.f64 26/27 (pow.f64 y 3))) (pow.f64 x 3)) (fma.f64 -1/3 (/.f64 (.f64 y (.f64 y -2/3)) (.f64 x x)) (fma.f64 2/9 (.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 y 3) -2/3) 2/3) (.f64 26/27 (pow.f64 y 3))) (pow.f64 x 3)) -2/3 (+.f64 (fma.f64 (.f64 (/.f64 y x) (/.f64 y x)) 1/9 (fma.f64 1/9 (/.f64 (.f64 (pow.f64 y 3) -2/3) (pow.f64 x 3)) (fma.f64 -1/3 (/.f64 y x) (.f64 (/.f64 (.f64 (pow.f64 y 3) -2/3) (pow.f64 x 3)) 1/3)))) (fma.f64 -1/3 (.f64 (/.f64 y (pow.f64 x 3)) (fma.f64 (.f64 y y) 1/9 (.f64 (.f64 y y) 4/9))) (/.f64 (.f64 (.f64 y y) 4/9) (*.f64 x x)))))))) (fma.f64 (/.f64 y x) -2/3 1))
(pow.f64 (cbrt.f64 -1) 6)
1
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) y)) (.f64 -1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) y))) x)) (pow.f64 (cbrt.f64 -1) 6))
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(/.f64 (/.f64 x (-.f64 (.f64 x x) (.f64 y y))) (/.f64 (+.f64 y x) (-.f64 (.f64 x x) (.f64 y y))))
(/.f64 (.f64 x (fma.f64 x x (.f64 y (neg.f64 y)))) (.f64 (+.f64 y x) (fma.f64 x x (.f64 y (neg.f64 y)))))
(/.f64 (.f64 (/.f64 x (-.f64 (.f64 x x) (.f64 y y))) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (/.f64 x (-.f64 (.f64 x x) (.f64 y y))) (/.f64 (fma.f64 x x (*.f64 y (+.f64 y x))) (-.f64 (pow.f64 x 3) (pow.f64 y 3))))
(/.f64 (/.f64 x (fma.f64 x x (.f64 y (neg.f64 y)))) (/.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))))
(/.f64 (.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (-.f64 y x)) (.f64 y (-.f64 y x))))) (-.f64 (.f64 x x) (*.f64 y (-.f64 y x))))
(/.f64 (/.f64 x (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (-.f64 (.f64 x x) (.f64 y (-.f64 y x))) (-.f64 (.f64 x (pow.f64 x 3)) (.f64 y (.f64 (-.f64 y x) (.f64 y (-.f64 y x)))))))
(/.f64 x (.f64 (/.f64 (fma.f64 x x (.f64 (-.f64 y x) (neg.f64 y))) (-.f64 (pow.f64 x 4) (.f64 y (.f64 (*.f64 (-.f64 y x) (-.f64 y x)) y)))) (+.f64 (pow.f64 y 3) (pow.f64 x 3))))
(/.f64 (.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 y (-.f64 y x)) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)))))
(/.f64 (.f64 (/.f64 x (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 y (-.f64 y x)) 3))) (+.f64 (.f64 x (pow.f64 x 3)) (.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)))))
(.f64 (/.f64 (/.f64 x (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 y (.f64 (-.f64 y x) (fma.f64 y (-.f64 y x) (.f64 x (neg.f64 x)))) (pow.f64 x 4))) (+.f64 (pow.f64 x 6) (pow.f64 (.f64 y (-.f64 y x)) 3)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) 1) (sqrt.f64 x)) (+.f64 x y))
(/.f64 x (+.f64 y x))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (sqrt.f64 x)) (cbrt.f64 (+.f64 x y)))
(/.f64 x (+.f64 y x))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (cbrt.f64 x)) (+.f64 x y))
(/.f64 x (+.f64 y x))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))) (cbrt.f64 x)) (sqrt.f64 (+.f64 x y)))
(/.f64 x (+.f64 y x))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 2) 3) 1) (cbrt.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) 2) (cbrt.f64 (/.f64 (+.f64 y x) x)))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 2) 3) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) 2) (cbrt.f64 (+.f64 y x))) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) 2) (cbrt.f64 (+.f64 y x))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 2) 3) (cbrt.f64 x)) (cbrt.f64 (+.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) 2) (cbrt.f64 (+.f64 y x))) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) 2) (cbrt.f64 (+.f64 y x))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 2) 3) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (-.f64 (neg.f64 x) y)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) 2) (/.f64 (cbrt.f64 (-.f64 (neg.f64 x) y)) (cbrt.f64 (neg.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (-.f64 (neg.f64 x) y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) 2))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 2) 3) (neg.f64 (cbrt.f64 x))) (neg.f64 (cbrt.f64 (+.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) 2) (/.f64 (neg.f64 (cbrt.f64 (+.f64 y x))) (neg.f64 (cbrt.f64 x))))
(.f64 (.f64 1 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) 2))
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (+.f64 y x))) (sqrt.f64 (+.f64 y x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (/.f64 x (+.f64 y x))) (sqrt.f64 (+.f64 y x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x (+.f64 x y)))) (pow.f64 (cbrt.f64 (+.f64 x y)) 2))
(/.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (+.f64 y x)) 2))
(*.f64 (/.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2)) (cbrt.f64 (-.f64 (neg.f64 x) y)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) 2) (/.f64 (cbrt.f64 (-.f64 (neg.f64 x) y)) (cbrt.f64 (neg.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (-.f64 (neg.f64 x) y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) 2))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2)) (neg.f64 (cbrt.f64 (+.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) 2) (/.f64 (neg.f64 (cbrt.f64 (+.f64 y x))) (neg.f64 (cbrt.f64 x))))
(.f64 (.f64 1 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) 2))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) 1) (cbrt.f64 (+.f64 x y)))
(/.f64 x (+.f64 y x))
(/.f64 (*.f64 (/.f64 x 1) 1) (+.f64 x y))
(/.f64 x (+.f64 y x))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) 1) (sqrt.f64 (+.f64 x y)))
(/.f64 x (+.f64 y x))
(/.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (.f64 (pow.f64 (/.f64 x (+.f64 x y)) 1/6) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(/.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y x)) 1/6) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) 2)) (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 y x))) (sqrt.f64 (cbrt.f64 x))))
(.f64 (/.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (+.f64 y x)))) (.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (pow.f64 (pow.f64 (/.f64 x (+.f64 y x)) 1/6) 3)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 x (+.f64 x y)))) (sqrt.f64 (-.f64 (neg.f64 x) y)))
(/.f64 (sqrt.f64 (/.f64 x (+.f64 y x))) (/.f64 (sqrt.f64 (-.f64 (neg.f64 x) y)) (sqrt.f64 (neg.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (-.f64 (neg.f64 x) y))) (sqrt.f64 (/.f64 x (+.f64 y x))))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (+.f64 x y)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (+.f64 y x)) 2))
(*.f64 (/.f64 (cbrt.f64 (/.f64 x (+.f64 y x))) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 (+.f64 x y)))) (pow.f64 (cbrt.f64 (+.f64 x y)) 2))
(/.f64 x (+.f64 y x))
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y)))) (pow.f64 (cbrt.f64 (+.f64 x y)) 2))
(/.f64 x (+.f64 y x))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(/.f64 x (+.f64 y x))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) (cbrt.f64 (/.f64 (+.f64 x y) x)))) (cbrt.f64 (/.f64 (+.f64 x y) x)))
(/.f64 x (+.f64 y x))
(/.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x y)) 1)) (/.f64 (sqrt.f64 (+.f64 x y)) x))
(/.f64 x (+.f64 y x))
(/.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1)) (/.f64 (cbrt.f64 (+.f64 x y)) x))
(/.f64 x (+.f64 y x))
(/.f64 (/.f64 (neg.f64 x) 1) (-.f64 (neg.f64 x) y))
(/.f64 x (+.f64 y x))
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x y))) (neg.f64 (sqrt.f64 (+.f64 x y))))
(/.f64 x (+.f64 y x))
(/.f64 (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (neg.f64 (cbrt.f64 (+.f64 x y))))
(/.f64 x (+.f64 y x))
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (neg.f64 x) y))) (sqrt.f64 (-.f64 (neg.f64 x) y)))
(/.f64 x (+.f64 y x))
(/.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 (-.f64 (neg.f64 x) y)) (cbrt.f64 (-.f64 (neg.f64 x) y)))) (cbrt.f64 (-.f64 (neg.f64 x) y)))
(/.f64 x (+.f64 y x))
(/.f64 (/.f64 (neg.f64 x) -1) (+.f64 x y))
(/.f64 x (+.f64 y x))
(/.f64 (/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(/.f64 x (+.f64 y x))
(/.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2))) (cbrt.f64 (+.f64 x y)))
(/.f64 x (+.f64 y x))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) 1) (cbrt.f64 (+.f64 x y)))
(/.f64 x (+.f64 y x))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x y)))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(/.f64 x (+.f64 y x))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (sqrt.f64 (+.f64 y x)))))
(/.f64 x (.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (sqrt.f64 (+.f64 y x)))) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 y x))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2))))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 y x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2)))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (cbrt.f64 (cbrt.f64 (+.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(/.f64 x (+.f64 y x))
(/.f64 (/.f64 (/.f64 x 1) 1) (+.f64 x y))
(/.f64 x (+.f64 y x))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) 1) (sqrt.f64 (+.f64 x y)))
(/.f64 x (+.f64 y x))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 y x))) (cbrt.f64 (+.f64 y x))) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(/.f64 x (.f64 (.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (+.f64 y x))))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(/.f64 x (+.f64 y x))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 y x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 y x))) (sqrt.f64 (cbrt.f64 (+.f64 y x)))) (fabs.f64 (cbrt.f64 (+.f64 y x))))
(neg.f64 (/.f64 x (-.f64 (neg.f64 x) y)))
(/.f64 x (+.f64 y x))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 y x)) 2))
(fabs.f64 (/.f64 x (+.f64 y x)))
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x y)))))
(/.f64 x (+.f64 y x))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
(/.f64 x (+.f64 y x))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 y x))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 y x))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 y x))

eval196.0ms (9.9%)

Compiler: Compiled 9596 to 4448 computations (53.6% saved)

prune127.0ms (6.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	458	0	458
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	458	4	462

Error

Counts

462 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
✓	0.0b	(/.f64 x (+.f64 x y))
✓	32.1b	(/.f64 x y)
	30.8b	1

Compiler

Compiled 25 to 17 computations (32% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
✓	0.0b	(/.f64 x (+.f64 x y))
✓	32.1b	(/.f64 x y)
	30.8b	1

Compiler

Compiled 25 to 17 computations (32% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
✓	0.0b	(/.f64 x (+.f64 x y))
✓	32.1b	(/.f64 x y)
	30.8b	1

Compiler

Compiled 25 to 17 computations (32% saved)

regimes12.0ms (0.6%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
4.0ms	x
3.0ms	(/.f64 x (+.f64 x y))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(/.f64 x (+.f64 x y))`

Compiler

Compiled 32 to 17 computations (46.9% saved)

regimes20.0ms (1%)

Accuracy

Total -48.5b remaining (-354.8%)

Threshold costs -48.5b (-354.8%)

Counts

2 → 3

Calls

Call 1

Inputs
1
(/.f64 x y)

Outputs
1
(/.f64 x y)
1

Calls

2 calls:

11.0ms	x
8.0ms	y

Results

Error	Segments	Branch
13.7b	3	`x`
15.4b	3	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch26.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	2.983407016823154e-17	7.237131762323016e-12
13.0ms	-7.180663540376556e+28	-8.286195615061758e+24

Results

23.0ms

272×

body

256

valid

Compiler

Compiled 182 to 144 computations (20.9% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	41
1	26	41

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))
(if (<=.f64 x -800000000000000038117834752) 1 (if (<=.f64 x 8715097876569077/9903520314283042199192993792) (/.f64 x y) 1))
1

Outputs
(/.f64 x (+.f64 x y))
(if (<=.f64 x -800000000000000038117834752) 1 (if (<=.f64 x 8715097876569077/9903520314283042199192993792) (/.f64 x y) 1))
1

Compiler

Compiled 25 to 18 computations (28% saved)

soundness0.0ms (0%)

end20.0ms (1%)

Compiler: Compiled 21 to 14 computations (33.3% saved)

Details

analyze70.0ms (3.5%)

sample1.1s (54%)

preprocess4.0ms (0.2%)

simplify43.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.2%)

series6.0ms (0.3%)

rewrite57.0ms (2.8%)

simplify59.0ms (3%)

eval13.0ms (0.7%)

prune10.0ms (0.5%)

localize3.0ms (0.2%)

localize8.0ms (0.4%)

series31.0ms (1.5%)

rewrite78.0ms (3.9%)

simplify115.0ms (5.8%)

eval196.0ms (9.9%)

prune127.0ms (6.4%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes12.0ms (0.6%)

regimes20.0ms (1%)

bsearch26.0ms (1.3%)

simplify5.0ms (0.3%)

soundness0.0ms (0%)

end20.0ms (1%)

Profiling