Details

analyze54.0ms (0.4%)

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%	87.4%	0.1%	0%	12.5%	0%	4
7.7%	6.2%	74.9%	0.1%	0%	18.7%	0%	5
17.4%	12.5%	59.3%	0.1%	0%	28.1%	0%	6
34.9%	23.4%	43.7%	0.1%	0%	32.8%	0%	7
45.6%	28.1%	33.6%	0.1%	0%	38.2%	0%	8
60.3%	35.5%	23.4%	0.1%	0%	41%	0%	9
68.3%	38.2%	17.8%	0.1%	0%	43.9%	0%	10
77.8%	42.4%	12.1%	0.1%	0%	45.4%	0%	11
82.8%	43.9%	9.1%	0.1%	0%	46.9%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample688.0ms (5.5%)

Results

643.0ms	8256×	body	256	valid
35.0ms	527×	body	256	invalid

Bogosity

preprocess123.0ms (1%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify87.0ms (0.7%)

Algorithm

1×

egglog

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% 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	(sqrt.f64 (+.f64 x y))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 4 computations (63.6% saved)

series34.0ms (0.3%)

Counts

1 → 8

Calls

6 calls:

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

Compiler

Compiled 2935 to 1910 computations (34.9% saved)

rewrite163.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

48× egg-rr

Counts

1 → 48

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) -2)) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (+.f64 x y)) 0) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 x y)) -1)) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x y) 0) (/.f64 1 (pow.f64 (+.f64 x y) -1/2)) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2) -1/2)) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) -1) (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) (.f64 2 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))) (fabs.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) (fabs.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) (.f64 2 2/3))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) (.f64 2 2/3))) (cbrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) (.f64 2 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (fabs.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (fabs.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 x y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (sqrt.f64 (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 -1 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (sqrt.f64 (+.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x y)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) -2)) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (+.f64 x y)) 0) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 x y)) -1)) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x y) 0) (/.f64 1 (pow.f64 (+.f64 x y) -1/2)) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2) -1/2)) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) -1) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) (*.f64 2 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))) (fabs.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) (fabs.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) (*.f64 2 2/3))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) (*.f64 2 2/3))) (cbrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) (*.f64 2 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (*.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (fabs.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x y)))))))

simplify251.0ms (2%)

Algorithm

1×

egglog

Counts

56 → 71

Calls

Call 1

Inputs
(sqrt.f64 y)
(+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (sqrt.f64 y)))
(+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 3)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (sqrt.f64 y))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 1/2 (/.f64 y (sqrt.f64 x))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (/.f64 y (sqrt.f64 x)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (+.f64 (.f64 1/2 (/.f64 y (sqrt.f64 x))) (.f64 1/4 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2)) (.f64 (pow.f64 (sqrt.f64 x) 2) (sqrt.f64 x)))))))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) -2)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (sqrt.f64 (+.f64 x y)) 0) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 x y)) -1)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (+.f64 x y) 0) (/.f64 1 (pow.f64 (+.f64 x y) -1/2)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2) -1/2)) (sqrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) -1) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) -1))
(.f64 (fabs.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))))
(.f64 (fabs.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) (*.f64 2 2/3)))))
(.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))) (fabs.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2)))
(.f64 (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) (fabs.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) (*.f64 2 2/3))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) (*.f64 2 2/3))) (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) (*.f64 2 2/3))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 1 (sqrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) 1)
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 1))
(.f64 (.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (*.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (fabs.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (fabs.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (fabs.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 2) 2)
(/.f64 (sqrt.f64 (+.f64 x y)) 1)
(/.f64 (*.f64 2 (sqrt.f64 (+.f64 x y))) 2)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)
(pow.f64 (+.f64 x y) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2) 1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 2)
(pow.f64 (sqrt.f64 (+.f64 x y)) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 4)
(neg.f64 (*.f64 -1 (sqrt.f64 (+.f64 x y))))
(neg.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -1))
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3))
(fabs.f64 (sqrt.f64 (+.f64 x y)))

Outputs
(sqrt.f64 y)
(+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(fma.f64 1/2 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (sqrt.f64 y)))
(+.f64 (/.f64 (+.f64 (.f64 1/2 x) (.f64 -1/2 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (.f64 x x)))) (sqrt.f64 y)) (sqrt.f64 y))
(+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 3)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (sqrt.f64 y))))
(+.f64 (+.f64 (/.f64 (+.f64 (.f64 1/2 x) (.f64 -1/2 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (.f64 x x)))) (sqrt.f64 y)) (sqrt.f64 y)) (.f64 1/4 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 (/.f64 x (sqrt.f64 y)) 3))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 1/2 (/.f64 y (sqrt.f64 x))))
(fma.f64 (/.f64 y (sqrt.f64 x)) 1/2 (sqrt.f64 x))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (/.f64 y (sqrt.f64 x)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 (*.f64 1/2 y) (sqrt.f64 x)) 2) (sqrt.f64 x)) (fma.f64 (/.f64 y (sqrt.f64 x)) 1/2 (sqrt.f64 x)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (+.f64 (.f64 1/2 (/.f64 y (sqrt.f64 x))) (.f64 1/4 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2)) (.f64 (pow.f64 (sqrt.f64 x) 2) (sqrt.f64 x)))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 (.f64 1/2 y) (sqrt.f64 x)) 2) (sqrt.f64 x)) -1/2 (sqrt.f64 x)) (fma.f64 1/4 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 (/.f64 y (sqrt.f64 x)) 3)) (/.f64 (*.f64 1/2 y) (sqrt.f64 x))))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) -2)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 0) (/.f64 -1 (/.f64 -1 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (sqrt.f64 (+.f64 x y)) 0) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 x y)) -1)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (sqrt.f64 (+.f64 x y)) 0) (/.f64 -1 (/.f64 -1 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (+.f64 x y) 0) (/.f64 1 (pow.f64 (+.f64 x y) -1/2)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (+.f64 x y) 0) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2) -1/2)) (sqrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) -1) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) -1))
(sqrt.f64 (+.f64 x y))
(.f64 (fabs.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))))
(.f64 (fabs.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) (*.f64 2 2/3)))))
(.f64 (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) (fabs.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 4/3) (sqrt.f64 (+.f64 x y))))))
(.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))) (fabs.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))))
(.f64 (fabs.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)))
(.f64 (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) (fabs.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) (*.f64 2 2/3))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) (fabs.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 4/3) (sqrt.f64 (+.f64 x y))))))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 x y))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (+.f64 x y))))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) (*.f64 2 2/3))) (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (pow.f64 (sqrt.f64 (+.f64 x y)) 4/3)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (+.f64 x y))))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) (*.f64 2 2/3))))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (pow.f64 (sqrt.f64 (+.f64 x y)) 4/3)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 x y))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 1 (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 x y))
(*.f64 (sqrt.f64 (+.f64 x y)) 1)
(sqrt.f64 (+.f64 x y))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 1))
(sqrt.f64 (+.f64 x y))
(.f64 (.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (*.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 x y))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (fabs.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (fabs.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)))
(.f64 (fabs.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (fabs.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 2) 2)
(sqrt.f64 (+.f64 x y))
(/.f64 (sqrt.f64 (+.f64 x y)) 1)
(sqrt.f64 (+.f64 x y))
(/.f64 (*.f64 2 (sqrt.f64 (+.f64 x y))) 2)
(sqrt.f64 (+.f64 x y))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3) 1/3)
(sqrt.f64 (+.f64 x y))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)
(sqrt.f64 (+.f64 x y))
(pow.f64 (+.f64 x y) 1/2)
(sqrt.f64 (+.f64 x y))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2) 1/2)
(sqrt.f64 (+.f64 x y))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 2)
(sqrt.f64 (+.f64 x y))
(pow.f64 (sqrt.f64 (+.f64 x y)) 1)
(sqrt.f64 (+.f64 x y))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 4)
(sqrt.f64 (+.f64 x y))
(neg.f64 (*.f64 -1 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 x y))
(neg.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -1))
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2))
(sqrt.f64 (+.f64 x y))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3))
(sqrt.f64 (+.f64 x y))
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 x y))

eval30.0ms (0.2%)

Compiler: Compiled 1135 to 445 computations (60.8% saved)

prune24.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	6	72

Error

Counts

72 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(if (!=.f64 (+.f64 x y) 0) (/.f64 1 (pow.f64 (+.f64 x y) -1/2)) (sqrt.f64 (+.f64 x y)))
▶	1.3b	(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)
▶	0.5b	(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
✓	0.0b	(sqrt.f64 (+.f64 x y))
▶	31.8b	(sqrt.f64 y)
▶	31.7b	(sqrt.f64 x)

Compiler

Compiled 110 to 70 computations (36.4% saved)

localize33.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 x y) -1/2)
	0.0b	(sqrt.f64 (+.f64 x y))
✓	0.3b	(/.f64 1 (pow.f64 (+.f64 x y) -1/2))

Compiler

Compiled 48 to 22 computations (54.2% saved)

series208.0ms (1.7%)

Counts

2 → 20

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(/.f64 1 (pow.f64 (+.f64 x y) -1/2))
4.0ms	x	@	-inf	(/.f64 1 (pow.f64 (+.f64 x y) -1/2))
3.0ms	x	@	0	(/.f64 1 (pow.f64 (+.f64 x y) -1/2))
3.0ms	y	@	0	(/.f64 1 (pow.f64 (+.f64 x y) -1/2))
2.0ms	x	@	inf	(/.f64 1 (pow.f64 (+.f64 x y) -1/2))

Compiler

Compiled 10215 to 8905 computations (12.8% saved)

rewrite125.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

50×	`egg-rr`
29×	`egg-rr`

Counts

2 → 79

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 (+.f64 x y) -1/2))
(pow.f64 (+.f64 x y) -1/2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x y) 0) (sqrt.f64 (+.f64 x y)) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (+.f64 x y) -1/2) 0) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) 0) (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)))) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 0) (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) -1)) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3) 0) (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3) -1/3) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) 0) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) -3) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) 0) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2))) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (pow.f64 (+.f64 x y) -1/2))) (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 1) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) (/.f64 1 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2)) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) (/.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))) (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2)))) (/.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2)) -1) (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2))) (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2)) (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.f64 (+.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (+.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3) -1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (+.f64 x y) -1/2) 0) (/.f64 1 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (pow.f64 (+.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) (pow.f64 (+.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2))) (pow.f64 (+.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (pow.f64 (+.f64 x y) -1/2) (pow.f64 (+.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (+.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) 2) (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (+.f64 x y) -1/2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) -1) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) -1) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (+.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 x y) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (+.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x y) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (+.f64 x y) -1/2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x y) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x y) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x y) 0) (sqrt.f64 (+.f64 x y)) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (+.f64 x y) -1/2) 0) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) 0) (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)))) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 0) (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) -1)) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3) 0) (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3) -1/3) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) 0) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) -3) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) 0) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2))) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (pow.f64 (+.f64 x y) -1/2))) (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 1) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) (/.f64 1 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2)) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) (/.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))) (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2)))) (/.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2)) -1) (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2))) (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2)) (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.f64 (+.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (+.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3) -1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (+.f64 x y) -1/2) 0) (/.f64 1 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (pow.f64 (+.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) (pow.f64 (+.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2))) (pow.f64 (+.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (pow.f64 (+.f64 x y) -1/2) (pow.f64 (+.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (+.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) 2) (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (pow.f64 (+.f64 x y) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 x y) -1/2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) -1) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) -1) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (+.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x y) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (+.f64 x y) -1/2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x y) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x y) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3))))))

simplify742.0ms (5.9%)

Algorithm

1×

egglog

Counts

99 → 122

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 y -1/2))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y -1/2))) (/.f64 1 (pow.f64 y -1/2)))
(/.f64 1 (pow.f64 x -1/2))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x -1/2))) (/.f64 1 (pow.f64 x -1/2)))
(pow.f64 y -1/2)
(+.f64 (*.f64 (pow.f64 y -1/2) x) (pow.f64 y -1/2))
(+.f64 (.f64 (pow.f64 y -1/2) x) (+.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 (neg.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 1)))) 2))) (*.f64 (pow.f64 x 2) (pow.f64 y -1/2))) (pow.f64 y -1/2)))
(+.f64 (.f64 (pow.f64 y -1/2) x) (+.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 (neg.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 1)))) 2))) (.f64 (pow.f64 x 2) (pow.f64 y -1/2))) (+.f64 (.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 (/.f64 1/4 (pow.f64 y 2)) 1) (pow.f64 (neg.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 1)))) 1)) (.f64 1/6 (pow.f64 (neg.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 1)))) 3)))) (*.f64 (pow.f64 x 3) (pow.f64 y -1/2))) (pow.f64 y -1/2))))
(pow.f64 (/.f64 1 x) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 x) 1/2) x)) (pow.f64 (/.f64 1 x) 1/2))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 x) 1/2) x)) (+.f64 (.f64 9/8 (*.f64 (pow.f64 (/.f64 1 x) 1/2) (pow.f64 (/.f64 1 x) 2))) (pow.f64 (/.f64 1 x) 1/2)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 x) 1/2) x)) (+.f64 (.f64 9/8 (.f64 (pow.f64 (/.f64 1 x) 1/2) (pow.f64 (/.f64 1 x) 2))) (+.f64 (.f64 (pow.f64 (/.f64 1 x) 3) (.f64 (pow.f64 (/.f64 1 x) 1/2) (+.f64 47/48 (.f64 -1/2 (pow.f64 (*.f64 1/4 (pow.f64 y 2)) 1))))) (pow.f64 (/.f64 1 x) 1/2))))
(pow.f64 x -1/2)
(+.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) y))
(+.f64 (pow.f64 x -1/2) (+.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 (neg.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 1)))) 2))) (.f64 (pow.f64 x -1/2) (pow.f64 y 2))) (*.f64 (pow.f64 x -1/2) y)))
(+.f64 (pow.f64 x -1/2) (+.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 (neg.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 1)))) 2))) (.f64 (pow.f64 x -1/2) (pow.f64 y 2))) (+.f64 (.f64 (pow.f64 x -1/2) (.f64 (pow.f64 y 3) (+.f64 1 (+.f64 (.f64 1/6 (pow.f64 (neg.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 1)))) 3)) (.f64 (pow.f64 (/.f64 1/4 (pow.f64 x 2)) 1) (pow.f64 (neg.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 1)))) 1)))))) (*.f64 (pow.f64 x -1/2) y))))
(pow.f64 (/.f64 1 y) 1/2)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 y) 1/2) y)) (pow.f64 (/.f64 1 y) 1/2))
(+.f64 (.f64 9/8 (.f64 (pow.f64 (/.f64 1 y) 1/2) (pow.f64 (/.f64 1 y) 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 y) 1/2) y)) (pow.f64 (/.f64 1 y) 1/2)))
(+.f64 (.f64 9/8 (.f64 (pow.f64 (/.f64 1 y) 1/2) (pow.f64 (/.f64 1 y) 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 y) 1/2) y)) (+.f64 (pow.f64 (/.f64 1 y) 1/2) (.f64 (pow.f64 (/.f64 1 y) 3) (.f64 (+.f64 47/48 (.f64 -1/2 (pow.f64 (*.f64 1/4 (pow.f64 x 2)) 1))) (pow.f64 (/.f64 1 y) 1/2))))))
(if (!=.f64 (+.f64 x y) 0) (sqrt.f64 (+.f64 x y)) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))
(if (!=.f64 (pow.f64 (+.f64 x y) -1/2) 0) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) 0) (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)))) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))
(if (!=.f64 -1 0) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))
(if (!=.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 0) (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) -1)) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))
(if (!=.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3) 0) (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3) -1/3) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) 0) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) -3) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))
(if (!=.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) 0) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2))) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))
(if (!=.f64 1 0) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))
(-.f64 (/.f64 0 (neg.f64 (pow.f64 (+.f64 x y) -1/2))) (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)))
(-.f64 0 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 1) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) 2)))
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) (/.f64 1 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) 2) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2)) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) 2)))
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) (/.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))) (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))))
(*.f64 (/.f64 1 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2)))) (/.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))
(*.f64 -1 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)))
(.f64 (.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) -1) -1)
(.f64 -1 (.f64 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)) 1))
(*.f64 1 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 1)
(*.f64 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)) -1)
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2)) -1) (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2))))
(/.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2))) (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) 2))
(/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)))
(/.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2)) (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)))
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))
(/.f64 -1 (/.f64 (pow.f64 (+.f64 x y) -1/2) -1))
(/.f64 -1 (neg.f64 (pow.f64 (+.f64 x y) -1/2)))
(/.f64 1 (pow.f64 (+.f64 x y) -1/2))
(/.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 1)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3) -1) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) 3)
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 1)
(neg.f64 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)))
(neg.f64 (*.f64 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)) 1))
(neg.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) -1))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3) -1))
(if (!=.f64 (pow.f64 (+.f64 x y) -1/2) 0) (/.f64 1 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (pow.f64 (+.f64 x y) -1/2))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) (pow.f64 (+.f64 x y) -1/2))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2))) (pow.f64 (+.f64 x y) -1/2))
(if (!=.f64 1 0) (pow.f64 (+.f64 x y) -1/2) (pow.f64 (+.f64 x y) -1/2))
(-.f64 0 (neg.f64 (pow.f64 (+.f64 x y) -1/2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) 2))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) 2) (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 x y) -1/2) -1))
(*.f64 (/.f64 (pow.f64 (+.f64 x y) -1/2) -1) -1)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) -1) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) -1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) -1) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) -1))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)))
(*.f64 1 (pow.f64 (+.f64 x y) -1/2))
(*.f64 (pow.f64 (+.f64 x y) -1/2) 1)
(*.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2)) -1)
(*.f64 -1 (neg.f64 (pow.f64 (+.f64 x y) -1/2)))
(/.f64 (pow.f64 (+.f64 x y) -1/2) 1)
(/.f64 (/.f64 (pow.f64 (+.f64 x y) -1/2) -1) -1)
(/.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2)) -1)
(pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3) 1/3)
(pow.f64 (+.f64 x y) -1/2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) 3)
(pow.f64 (pow.f64 (+.f64 x y) -1/2) 1)
(neg.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2)))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3))

Outputs
(/.f64 1 (pow.f64 y -1/2))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y -1/2))) (/.f64 1 (pow.f64 y -1/2)))
(/.f64 (+.f64 (neg.f64 x) 1) (pow.f64 y -1/2))
(/.f64 1 (pow.f64 x -1/2))
(pow.f64 (pow.f64 x -1/2) -1)
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x -1/2))) (/.f64 1 (pow.f64 x -1/2)))
(/.f64 (+.f64 (neg.f64 y) 1) (pow.f64 x -1/2))
(pow.f64 y -1/2)
(+.f64 (*.f64 (pow.f64 y -1/2) x) (pow.f64 y -1/2))
(*.f64 (pow.f64 y -1/2) (+.f64 x 1))
(+.f64 (.f64 (pow.f64 y -1/2) x) (+.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 (neg.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 1)))) 2))) (*.f64 (pow.f64 x 2) (pow.f64 y -1/2))) (pow.f64 y -1/2)))
(+.f64 (.f64 (pow.f64 y -1/2) (+.f64 x (.f64 (fma.f64 (/.f64 1/4 (.f64 y y)) 1/2 1) (.f64 x x)))) (pow.f64 y -1/2))
(+.f64 (.f64 (pow.f64 y -1/2) x) (+.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 (neg.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 1)))) 2))) (.f64 (pow.f64 x 2) (pow.f64 y -1/2))) (+.f64 (.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 (/.f64 1/4 (pow.f64 y 2)) 1) (pow.f64 (neg.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 1)))) 1)) (.f64 1/6 (pow.f64 (neg.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 1)))) 3)))) (*.f64 (pow.f64 x 3) (pow.f64 y -1/2))) (pow.f64 y -1/2))))
(+.f64 (.f64 (pow.f64 y -1/2) (+.f64 x (.f64 (fma.f64 (/.f64 1/4 (.f64 y y)) 1/2 1) (.f64 x x)))) (.f64 (pow.f64 y -1/2) (+.f64 1 (.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 -1/2 y) 3) 1/6 (pow.f64 (/.f64 -1/2 y) 3))) (pow.f64 x 3)))))
(pow.f64 (/.f64 1 x) 1/2)
(sqrt.f64 (/.f64 1 x))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 x) 1/2) x)) (pow.f64 (/.f64 1 x) 1/2))
(fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) x) (sqrt.f64 (/.f64 1 x)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 x) 1/2) x)) (+.f64 (.f64 9/8 (*.f64 (pow.f64 (/.f64 1 x) 1/2) (pow.f64 (/.f64 1 x) 2))) (pow.f64 (/.f64 1 x) 1/2)))
(fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) x) (fma.f64 9/8 (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (.f64 x x))) (sqrt.f64 (/.f64 1 x))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 x) 1/2) x)) (+.f64 (.f64 9/8 (.f64 (pow.f64 (/.f64 1 x) 1/2) (pow.f64 (/.f64 1 x) 2))) (+.f64 (.f64 (pow.f64 (/.f64 1 x) 3) (.f64 (pow.f64 (/.f64 1 x) 1/2) (+.f64 47/48 (.f64 -1/2 (pow.f64 (*.f64 1/4 (pow.f64 y 2)) 1))))) (pow.f64 (/.f64 1 x) 1/2))))
(fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) x) (fma.f64 (.f64 9/8 (sqrt.f64 (/.f64 1 x))) (/.f64 1 (.f64 x x)) (fma.f64 (/.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 x 3)) (+.f64 47/48 (.f64 (.f64 y y) -1/8)) (sqrt.f64 (/.f64 1 x)))))
(pow.f64 x -1/2)
(+.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) y))
(*.f64 (pow.f64 x -1/2) (+.f64 y 1))
(+.f64 (pow.f64 x -1/2) (+.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 (neg.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 1)))) 2))) (.f64 (pow.f64 x -1/2) (pow.f64 y 2))) (*.f64 (pow.f64 x -1/2) y)))
(+.f64 (.f64 (pow.f64 x -1/2) (+.f64 y 1)) (.f64 (.f64 (fma.f64 (/.f64 1/4 (.f64 x x)) 1/2 1) (pow.f64 x -1/2)) (*.f64 y y)))
(+.f64 (pow.f64 x -1/2) (+.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 (neg.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 1)))) 2))) (.f64 (pow.f64 x -1/2) (pow.f64 y 2))) (+.f64 (.f64 (pow.f64 x -1/2) (.f64 (pow.f64 y 3) (+.f64 1 (+.f64 (.f64 1/6 (pow.f64 (neg.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 1)))) 3)) (.f64 (pow.f64 (/.f64 1/4 (pow.f64 x 2)) 1) (pow.f64 (neg.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 1)))) 1)))))) (*.f64 (pow.f64 x -1/2) y))))
(+.f64 (pow.f64 x -1/2) (fma.f64 (fma.f64 (/.f64 1/4 (.f64 x x)) 1/2 1) (.f64 (pow.f64 x -1/2) (.f64 y y)) (.f64 (pow.f64 x -1/2) (fma.f64 (pow.f64 y 3) (+.f64 1 (fma.f64 1/6 (pow.f64 (/.f64 -1/2 x) 3) (pow.f64 (/.f64 -1/2 x) 3))) y))))
(pow.f64 (/.f64 1 y) 1/2)
(sqrt.f64 (/.f64 1 y))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 y) 1/2) y)) (pow.f64 (/.f64 1 y) 1/2))
(fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 y)) y) (sqrt.f64 (/.f64 1 y)))
(+.f64 (.f64 9/8 (.f64 (pow.f64 (/.f64 1 y) 1/2) (pow.f64 (/.f64 1 y) 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 y) 1/2) y)) (pow.f64 (/.f64 1 y) 1/2)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 1 (.f64 y y))) 9/8 (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 y)) y) (sqrt.f64 (/.f64 1 y))))
(+.f64 (.f64 9/8 (.f64 (pow.f64 (/.f64 1 y) 1/2) (pow.f64 (/.f64 1 y) 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 y) 1/2) y)) (+.f64 (pow.f64 (/.f64 1 y) 1/2) (.f64 (pow.f64 (/.f64 1 y) 3) (.f64 (+.f64 47/48 (.f64 -1/2 (pow.f64 (*.f64 1/4 (pow.f64 x 2)) 1))) (pow.f64 (/.f64 1 y) 1/2))))))
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(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))) (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))))
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(*.f64 (/.f64 1 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2)))) (/.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(*.f64 -1 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)))
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(.f64 (.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) -1) -1)
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(.f64 -1 (.f64 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)) 1))
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(*.f64 1 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 1)
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(*.f64 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)) -1)
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2)) -1) (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2))))
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(/.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2))) (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2))))
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) 2))
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)))
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(/.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2)) (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)))
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(/.f64 -1 (/.f64 (pow.f64 (+.f64 x y) -1/2) -1))
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(/.f64 -1 (neg.f64 (pow.f64 (+.f64 x y) -1/2)))
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(/.f64 1 (pow.f64 (+.f64 x y) -1/2))
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(/.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 1)
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3) -1) 1/3)
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) 3)
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 1)
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(neg.f64 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)))
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(neg.f64 (*.f64 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2)) 1))
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(neg.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) -1))
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3) -1))
(pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)
(if (!=.f64 (pow.f64 (+.f64 x y) -1/2) 0) (/.f64 1 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1)) (pow.f64 (+.f64 x y) -1/2))
(if (!=.f64 (pow.f64 (+.f64 x y) -1/2) 0) (/.f64 -1 (/.f64 -1 (pow.f64 (+.f64 x y) -1/2))) (pow.f64 (+.f64 x y) -1/2))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) (pow.f64 (+.f64 x y) -1/2))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) 0) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2) (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1))) (pow.f64 (+.f64 x y) -1/2))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2))) (pow.f64 (+.f64 x y) -1/2))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) 0) (cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) -1/2) (pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) -1) 2))) (pow.f64 (+.f64 x y) -1/2))
(if (!=.f64 1 0) (pow.f64 (+.f64 x y) -1/2) (pow.f64 (+.f64 x y) -1/2))
(-.f64 0 (neg.f64 (pow.f64 (+.f64 x y) -1/2)))
(pow.f64 (+.f64 x y) -1/2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2))
(pow.f64 (+.f64 x y) -1/2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) 2))
(pow.f64 (+.f64 x y) -1/2)
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2))) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2))))
(pow.f64 (+.f64 x y) -1/2)
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(pow.f64 (+.f64 x y) -1/2)
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(*.f64 -1 (/.f64 (pow.f64 (+.f64 x y) -1/2) -1))
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(*.f64 (/.f64 (pow.f64 (+.f64 x y) -1/2) -1) -1)
(pow.f64 (+.f64 x y) -1/2)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) -1) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) -1))
(pow.f64 (+.f64 x y) -1/2)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) -1) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) -1))
(pow.f64 (+.f64 x y) -1/2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)))
(pow.f64 (+.f64 x y) -1/2)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)) (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)))
(pow.f64 (+.f64 x y) -1/2)
(*.f64 1 (pow.f64 (+.f64 x y) -1/2))
(pow.f64 (+.f64 x y) -1/2)
(*.f64 (pow.f64 (+.f64 x y) -1/2) 1)
(pow.f64 (+.f64 x y) -1/2)
(*.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2)) -1)
(pow.f64 (+.f64 x y) -1/2)
(*.f64 -1 (neg.f64 (pow.f64 (+.f64 x y) -1/2)))
(pow.f64 (+.f64 x y) -1/2)
(/.f64 (pow.f64 (+.f64 x y) -1/2) 1)
(pow.f64 (+.f64 x y) -1/2)
(/.f64 (/.f64 (pow.f64 (+.f64 x y) -1/2) -1) -1)
(pow.f64 (+.f64 x y) -1/2)
(/.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2)) -1)
(pow.f64 (+.f64 x y) -1/2)
(pow.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3) 1/3)
(pow.f64 (+.f64 x y) -1/2)
(pow.f64 (+.f64 x y) -1/2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -1/2)) 3)
(pow.f64 (+.f64 x y) -1/2)
(pow.f64 (pow.f64 (+.f64 x y) -1/2) 1)
(pow.f64 (+.f64 x y) -1/2)
(neg.f64 (neg.f64 (pow.f64 (+.f64 x y) -1/2)))
(pow.f64 (+.f64 x y) -1/2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 3))
(pow.f64 (+.f64 x y) -1/2)

localize5.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize14.0ms (0.1%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 x y))
✓	0.5b	(cbrt.f64 (sqrt.f64 (+.f64 x y)))
✓	0.7b	(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series1.0s (8.1%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
21.0ms	y	@	inf	(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)
16.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)
10.0ms	x	@	inf	(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)
8.0ms	x	@	0	(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)
5.0ms	y	@	0	(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)

Compiler

Compiled 52330 to 40355 computations (22.9% saved)

rewrite140.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

77×	`egg-rr`
54×	`egg-rr`

Counts

2 → 131

Calls

Call 1

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

Outputs
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Outputs

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#<rule egg-rr> (2) ((x neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))))))

simplify378.0ms (3%)

Algorithm

1×

egglog

Counts

147 → 201

Calls

Call 1

Inputs
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) (pow.f64 (sqrt.f64 y) 1/3))
(+.f64 (.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) (pow.f64 (sqrt.f64 y) 1/3)) (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) (.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) (sqrt.f64 y)))) (.f64 1/3 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) (.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) (sqrt.f64 y))))) x))
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(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) -1) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) -1))
(.f64 (.f64 -1 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (*.f64 -1 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))) (fabs.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))))) (fabs.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))))
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) (fabs.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))) (fabs.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) 2) 2)))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))))
(.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))))) (fabs.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) 2) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) (*.f64 2 2/3))) 2))))
(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) 2) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) 2)
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 1)
(/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) 1/2)
(/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) -1) -1)
(/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3) 1/3)
(/.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) -1)
(/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 1/2) 2)
(/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 1/3) 3)
(pow.f64 (sqrt.f64 (+.f64 x y)) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) 3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 2/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 2)
(neg.f64 (*.f64 -1 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) -1))
(cbrt.f64 (sqrt.f64 (+.f64 x y)))
(fabs.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))

Outputs
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) (pow.f64 (sqrt.f64 y) 1/3))
(sqrt.f64 y)
(+.f64 (.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) (pow.f64 (sqrt.f64 y) 1/3)) (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) (.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) (sqrt.f64 y)))) (.f64 1/3 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) (.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) (sqrt.f64 y))))) x))
(+.f64 (sqrt.f64 y) (.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) (sqrt.f64 y))) (+.f64 1/6 1/3)) x))
(+.f64 (.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) (pow.f64 (sqrt.f64 y) 1/3)) (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) (.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) (sqrt.f64 y)))) (.f64 1/3 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) (.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) (sqrt.f64 y))))) x) (.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 y) 1/3) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y))) (.f64 1/12 (/.f64 (pow.f64 (sqrt.f64 y) 1/3) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) 2) (pow.f64 (sqrt.f64 y) 2))))) (pow.f64 (sqrt.f64 y) 1/3)) (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) 2) (pow.f64 (sqrt.f64 y) 2)))))) (+.f64 (.f64 1/18 (/.f64 (pow.f64 (sqrt.f64 y) 1/3) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) 2) (pow.f64 (sqrt.f64 y) 2)))) (.f64 1/3 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y))) (.f64 1/12 (/.f64 (pow.f64 (sqrt.f64 y) 1/3) (*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) 2) (pow.f64 (sqrt.f64 y) 2)))))))) (pow.f64 x 2))))
(+.f64 (sqrt.f64 y) (fma.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) (sqrt.f64 y))) (+.f64 1/6 1/3)) x (.f64 (fma.f64 (cbrt.f64 (sqrt.f64 y)) (fma.f64 2/3 (/.f64 (.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y)) (neg.f64 (/.f64 (.f64 1/12 (cbrt.f64 (sqrt.f64 y))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) 2) (pow.f64 (sqrt.f64 y) 2))))) (cbrt.f64 (sqrt.f64 y))) (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) (/.f64 1/36 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) 2) (pow.f64 (sqrt.f64 y) 2)))) (fma.f64 1/18 (/.f64 (cbrt.f64 (sqrt.f64 y)) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) 2) (pow.f64 (sqrt.f64 y) 2))) (.f64 1/3 (fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y)) (neg.f64 (/.f64 (.f64 1/12 (cbrt.f64 (sqrt.f64 y))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) 2) (pow.f64 (sqrt.f64 y) 2)))))))) (.f64 x x))))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 y) 1/3) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2)))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y))) (.f64 1/12 (/.f64 (pow.f64 (sqrt.f64 y) 1/3) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) 2) (pow.f64 (sqrt.f64 y) 2))))) (pow.f64 (sqrt.f64 y) 1/3)) (.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) (.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) (sqrt.f64 y))))) (.f64 1/216 (/.f64 1 (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) 3) (pow.f64 (sqrt.f64 y) 3)))))) (pow.f64 (sqrt.f64 y) 1/3)) (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2))) (.f64 1/9 (/.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y))) (.f64 1/12 (/.f64 (pow.f64 (sqrt.f64 y) 1/3) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) 2) (pow.f64 (sqrt.f64 y) 2))))) (.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) (.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) (sqrt.f64 y))))))) (+.f64 (.f64 1/3 (-.f64 (.f64 1/4 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2)))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y))) (.f64 1/12 (/.f64 (pow.f64 (sqrt.f64 y) 1/3) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) 2) (pow.f64 (sqrt.f64 y) 2))))) (pow.f64 (sqrt.f64 y) 1/3)) (.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) (.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) (sqrt.f64 y))))) (.f64 1/216 (/.f64 1 (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) 3) (pow.f64 (sqrt.f64 y) 3))))))) (+.f64 (.f64 1/9 (/.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y))) (.f64 1/12 (/.f64 (pow.f64 (sqrt.f64 y) 1/3) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) 2) (pow.f64 (sqrt.f64 y) 2))))) (pow.f64 (sqrt.f64 y) 1/3)) (.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) (.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) (sqrt.f64 y))))) (.f64 1/6 (/.f64 (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y))) (.f64 1/12 (/.f64 (pow.f64 (sqrt.f64 y) 1/3) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) 2) (pow.f64 (sqrt.f64 y) 2))))) (pow.f64 (sqrt.f64 y) 1/3)) (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) 2) (pow.f64 (sqrt.f64 y) 2))))) (.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) (sqrt.f64 y))))))) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) (pow.f64 (sqrt.f64 y) 1/3)) (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) (.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) (sqrt.f64 y)))) (.f64 1/3 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) (.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) (sqrt.f64 y))))) x) (.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 y) 1/3) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y))) (.f64 1/12 (/.f64 (pow.f64 (sqrt.f64 y) 1/3) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) 2) (pow.f64 (sqrt.f64 y) 2))))) (pow.f64 (sqrt.f64 y) 1/3)) (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) 2) (pow.f64 (sqrt.f64 y) 2)))))) (+.f64 (.f64 1/18 (/.f64 (pow.f64 (sqrt.f64 y) 1/3) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) 2) (pow.f64 (sqrt.f64 y) 2)))) (.f64 1/3 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y))) (.f64 1/12 (/.f64 (pow.f64 (sqrt.f64 y) 1/3) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 y) 1/3) 2) 1/3) 2) (pow.f64 (sqrt.f64 y) 2)))))))) (pow.f64 x 2)))))
(fma.f64 (fma.f64 (cbrt.f64 (sqrt.f64 y)) (fma.f64 2/3 (/.f64 (.f64 (-.f64 (/.f64 (.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2)) (pow.f64 (sqrt.f64 y) 3)) (fma.f64 1/3 (/.f64 (.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y)) (neg.f64 (/.f64 (.f64 1/12 (cbrt.f64 (sqrt.f64 y))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) 2) (pow.f64 (sqrt.f64 y) 2))))) (cbrt.f64 (sqrt.f64 y))) (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) (sqrt.f64 y))) (/.f64 1/216 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2) (pow.f64 (sqrt.f64 y) 3))))) (cbrt.f64 (sqrt.f64 y))) (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) (/.f64 (.f64 1/9 (fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y)) (neg.f64 (/.f64 (.f64 1/12 (cbrt.f64 (sqrt.f64 y))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) 2) (pow.f64 (sqrt.f64 y) 2)))))) (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) (sqrt.f64 y)))) (fma.f64 1/3 (-.f64 (/.f64 (.f64 1/4 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2)) (pow.f64 (sqrt.f64 y) 3)) (fma.f64 1/3 (/.f64 (.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y)) (neg.f64 (/.f64 (.f64 1/12 (cbrt.f64 (sqrt.f64 y))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) 2) (pow.f64 (sqrt.f64 y) 2))))) (cbrt.f64 (sqrt.f64 y))) (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) (sqrt.f64 y))) (/.f64 1/216 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2) (pow.f64 (sqrt.f64 y) 3))))) (fma.f64 1/9 (/.f64 (.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y)) (neg.f64 (/.f64 (.f64 1/12 (cbrt.f64 (sqrt.f64 y))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) 2) (pow.f64 (sqrt.f64 y) 2))))) (cbrt.f64 (sqrt.f64 y))) (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) (sqrt.f64 y))) (/.f64 (.f64 1/6 (fma.f64 2/3 (/.f64 (.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y)) (neg.f64 (/.f64 (.f64 1/12 (cbrt.f64 (sqrt.f64 y))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) 2) (pow.f64 (sqrt.f64 y) 2))))) (cbrt.f64 (sqrt.f64 y))) (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) (/.f64 1/36 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) 2) (pow.f64 (sqrt.f64 y) 2))))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) (sqrt.f64 y)))))) (pow.f64 x 3) (+.f64 (sqrt.f64 y) (fma.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) (sqrt.f64 y))) (+.f64 1/6 1/3)) x (.f64 (fma.f64 (cbrt.f64 (sqrt.f64 y)) (fma.f64 2/3 (/.f64 (.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y)) (neg.f64 (/.f64 (.f64 1/12 (cbrt.f64 (sqrt.f64 y))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) 2) (pow.f64 (sqrt.f64 y) 2))))) (cbrt.f64 (sqrt.f64 y))) (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) (/.f64 1/36 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) 2) (pow.f64 (sqrt.f64 y) 2)))) (fma.f64 1/18 (/.f64 (cbrt.f64 (sqrt.f64 y)) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) 2) (pow.f64 (sqrt.f64 y) 2))) (.f64 1/3 (fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y)) (neg.f64 (/.f64 (.f64 1/12 (cbrt.f64 (sqrt.f64 y))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) 2)) 2) (pow.f64 (sqrt.f64 y) 2)))))))) (*.f64 x x)))))
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (pow.f64 (sqrt.f64 x) 1/3) 2))
(sqrt.f64 x)
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(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) 2)
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 1)
(cbrt.f64 (sqrt.f64 (+.f64 x y)))
(/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) 1/2)
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (*.f64 1/2 2))
(/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) -1) -1)
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (*.f64 -1 -1))
(/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3) 1/3)
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (*.f64 1/3 3))
(/.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) -1)
(neg.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) -1))
(/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 1/2) 2)
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (*.f64 2 1/2))
(/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 1/3) 3)
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (*.f64 3 1/3))
(pow.f64 (sqrt.f64 (+.f64 x y)) 1/3)
(cbrt.f64 (sqrt.f64 (+.f64 x y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) 3)
(cbrt.f64 (sqrt.f64 (+.f64 x y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 1)
(cbrt.f64 (sqrt.f64 (+.f64 x y)))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 2/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 2)
(cbrt.f64 (sqrt.f64 (+.f64 x y)))
(neg.f64 (*.f64 -1 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(neg.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) -1))
(neg.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(cbrt.f64 (sqrt.f64 (+.f64 x y)))
(fabs.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (sqrt.f64 (+.f64 x y)))
✓	0.1b	(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
✓	0.3b	(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
✓	0.3b	(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2)

Compiler

Compiled 44 to 12 computations (72.7% saved)

series562.0ms (4.5%)

Counts

4 → 28

Calls

24 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	(sqrt.f64 (sqrt.f64 (+.f64 x y)))
9.0ms	x	@	inf	(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2)
8.0ms	x	@	inf	(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
6.0ms	y	@	inf	(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
5.0ms	x	@	0	(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))

Compiler

Compiled 40695 to 23260 computations (42.8% saved)

rewrite125.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

45×	`egg-rr`
33×	`egg-rr`
28×	`egg-rr`
26×	`egg-rr`

Counts

4 → 132

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (pow.f64 (sqrt.f64 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1/8)) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))))) (#(struct:change #<rule egg-rr> (2) 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(.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))) 1) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) 2) (cbrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 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simplify550.0ms (4.4%)

Algorithm

1×

egglog

Counts

160 → 209

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2)
(+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) x))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2)
(+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2) (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))))) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))) x) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 y)))))
(+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))))) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))) x) (+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y))) (pow.f64 (/.f64 1/4 (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))) 2)) (sqrt.f64 (sqrt.f64 y)))) (pow.f64 (/.f64 1/8 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y))))) 2)) (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))))) (.f64 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 3/2 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 1)) 2))) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))))) (pow.f64 x 2)) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (.f64 (+.f64 1 (+.f64 (.f64 1/6 (pow.f64 (/.f64 3/2 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 1)) 3)) (.f64 (pow.f64 (/.f64 3/2 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 1)) 1) (pow.f64 (.f64 3/4 (+.f64 (.f64 -1 (/.f64 (pow.f64 (/.f64 1/4 (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 y)) 2))) (/.f64 1 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 1)))) 1)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y))) (pow.f64 (/.f64 1/4 (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))) 2)) (sqrt.f64 (sqrt.f64 y)))) (pow.f64 (/.f64 1/8 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y))))) 2)) (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (-.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/4 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2)))) (.f64 1/4 (/.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y))) (pow.f64 (/.f64 1/4 (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))) 2)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 (sqrt.f64 y)) 2))))) (sqrt.f64 (sqrt.f64 y)))) (.f64 1/8 (/.f64 (-.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y))) (pow.f64 (/.f64 1/4 (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))) 2)) (sqrt.f64 (sqrt.f64 y)))) (pow.f64 (/.f64 1/8 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y))))) 2)) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) 2) (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))) (.f64 1/8 (/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 3/2 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 1)) 2))) (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2)) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y))))))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))))) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))) x) (+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y))) (pow.f64 (/.f64 1/4 (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))) 2)) (sqrt.f64 (sqrt.f64 y)))) (pow.f64 (/.f64 1/8 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y))))) 2)) (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))))) (.f64 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 3/2 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 1)) 2))) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))))) (pow.f64 x 2)) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 y)))))))
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(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) 1))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))
(.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)))
(.f64 (.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))) 1) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))
(.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) (.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))) 1))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) 2) (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))
(*.f64 1 (sqrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) 1)
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) 2) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x y)) 1)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 2)
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 4)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)
(pow.f64 (+.f64 x y) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2) 1/2)
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3))
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 1 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 1)
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 2) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x y)) 1/4)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) 2)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/2)
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))
(fabs.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (fabs.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (fabs.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (fabs.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) (fabs.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))))
(*.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1)
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 2) 1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 2)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/2) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x y)) 1/2)
(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) 4)
(sqrt.f64 (sqrt.f64 (+.f64 x y)))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/2))
(fabs.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))

Outputs
(pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2)
(+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) x))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2)
(+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2) (*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2)))
(*.f64 (+.f64 y 1) (pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))))) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))) x) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 y)))))
(fma.f64 (fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))) x (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 y)))))
(+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))))) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))) x) (+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y))) (pow.f64 (/.f64 1/4 (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))) 2)) (sqrt.f64 (sqrt.f64 y)))) (pow.f64 (/.f64 1/8 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y))))) 2)) (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))))) (.f64 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 3/2 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 1)) 2))) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))))) (pow.f64 x 2)) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))))
(fma.f64 (fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))) x (fma.f64 (fma.f64 1/2 (/.f64 (.f64 (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (sqrt.f64 y)) (neg.f64 (pow.f64 (/.f64 1/4 (.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 y))) 2))) (sqrt.f64 (sqrt.f64 y))) (neg.f64 (pow.f64 (/.f64 1/8 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))) 2))) (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 y)))) (fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))) (.f64 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 3/2 (sqrt.f64 (sqrt.f64 y))) 2))) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))))) (.f64 x x) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))))
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(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))
(.f64 (.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))) 1) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))
(.f64 (.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) (.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))) 1))
(.f64 (.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) 2) (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) 2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))
(*.f64 1 (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 x y))
(*.f64 (sqrt.f64 (+.f64 x y)) 1)
(sqrt.f64 (+.f64 x y))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) 2) 1/2)
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 2 1/2))
(pow.f64 (sqrt.f64 (+.f64 x y)) 1)
(sqrt.f64 (+.f64 x y))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3) 1/3)
(sqrt.f64 (+.f64 x y))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 2)
(sqrt.f64 (+.f64 x y))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 4)
(sqrt.f64 (+.f64 x y))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)
(sqrt.f64 (+.f64 x y))
(pow.f64 (+.f64 x y) 1/2)
(sqrt.f64 (+.f64 x y))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2) 1/2)
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2))
(sqrt.f64 (+.f64 x y))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3))
(sqrt.f64 (+.f64 x y))
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))
(pow.f64 (sqrt.f64 (+.f64 x y)) (*.f64 2 1/8))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))
(*.f64 1 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 1)
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 2) 1/2)
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 2 1/2))
(pow.f64 (sqrt.f64 (+.f64 x y)) 1/4)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) 1/3)
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 1)
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) 3)
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) 2)
(pow.f64 (sqrt.f64 (+.f64 x y)) (*.f64 2 1/8))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/2)
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))
(fabs.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (fabs.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (fabs.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (fabs.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (sqrt.f64 (+.f64 x y)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(cbrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(cbrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(sqrt.f64 (sqrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)))
(*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(sqrt.f64 (sqrt.f64 (+.f64 x y)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/8))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (.f64 (cbrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))))
(*.f64 (fabs.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) (fabs.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))))
(*.f64 (fabs.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))
(*.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (sqrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1)
(sqrt.f64 (sqrt.f64 (+.f64 x y)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 2) 1/2)
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 2 1/2))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1)
(sqrt.f64 (sqrt.f64 (+.f64 x y)))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 2)
(sqrt.f64 (sqrt.f64 (+.f64 x y)))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/2))
(pow.f64 (sqrt.f64 (+.f64 x y)) 1/2)
(sqrt.f64 (sqrt.f64 (+.f64 x y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 3)
(sqrt.f64 (sqrt.f64 (+.f64 x y)))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) 4)
(sqrt.f64 (sqrt.f64 (+.f64 x y)))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/2))
(fabs.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))

eval566.0ms (4.5%)

Compiler: Compiled 24303 to 11359 computations (53.3% saved)

prune126.0ms (1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	726	2	728
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	727	7	734

Error

Counts

734 → 7

Alt Table

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Status	Error	Program
✓	0.3b	(if (!=.f64 (+.f64 x y) 0) (/.f64 1 (pow.f64 (+.f64 x y) -1/2)) (sqrt.f64 (+.f64 x y)))
✓	1.3b	(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)
▶	0.3b	(/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1/3) 3)
▶	0.4b	(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/4))
✓	0.0b	(sqrt.f64 (+.f64 x y))
✓	31.8b	(sqrt.f64 y)
✓	31.7b	(sqrt.f64 x)

Compiler

Compiled 68 to 46 computations (32.4% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (sqrt.f64 (+.f64 x y)))
✓	0.1b	(pow.f64 (sqrt.f64 (+.f64 x y)) 1/4)
✓	0.3b	(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/4))
	0.3b	(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2)

Compiler

Compiled 45 to 16 computations (64.4% saved)

series355.0ms (2.9%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	y	@	-inf	(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/4))
7.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (+.f64 x y)) 1/4)
5.0ms	y	@	inf	(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/4))
2.0ms	x	@	0	(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/4))
2.0ms	y	@	0	(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/4))

Compiler

Compiled 15045 to 11125 computations (26.1% saved)

rewrite95.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

33×	`egg-rr`
20×	`egg-rr`

Counts

2 → 53

Calls

Call 1

Inputs
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/4))
(pow.f64 (sqrt.f64 (+.f64 x y)) 1/4)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) 2) (cbrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x y)))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x y)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))))

simplify160.0ms (1.3%)

Algorithm

1×

egglog

Counts

61 → 70

Calls

Call 1

Inputs
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (pow.f64 (sqrt.f64 y) 1/4))
(+.f64 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (pow.f64 (sqrt.f64 y) 1/4)) (.f64 2 (.f64 (pow.f64 (sqrt.f64 y) 1/4) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) x))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2) (pow.f64 (sqrt.f64 x) 1/4))
(+.f64 (.f64 2 (.f64 y (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2) (pow.f64 (sqrt.f64 x) 1/4)))) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2) (pow.f64 (sqrt.f64 x) 1/4)))
(pow.f64 (sqrt.f64 y) 1/4)
(+.f64 (*.f64 (pow.f64 (sqrt.f64 y) 1/4) x) (pow.f64 (sqrt.f64 y) 1/4))
(pow.f64 (sqrt.f64 x) 1/4)
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 x) 1/4)) (pow.f64 (sqrt.f64 x) 1/4))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) 2))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) 2) (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 2 (.f64 1/2 (sqrt.f64 (+.f64 x y))))
(*.f64 1 (sqrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3) 1/3)
(pow.f64 (+.f64 x y) 1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 2)
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 4)
(pow.f64 (sqrt.f64 (+.f64 x y)) 1)
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3))
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 2 (.f64 1/2 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 1 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 1)
(pow.f64 (sqrt.f64 (+.f64 x y)) 1/4)
(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) 2)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 1)
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))
(fabs.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))

Outputs
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (pow.f64 (sqrt.f64 y) 1/4))
(*.f64 (pow.f64 (sqrt.f64 y) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) (pow.f64 (sqrt.f64 y) 1/4)) (.f64 2 (.f64 (pow.f64 (sqrt.f64 y) 1/4) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3/2) x))))
(fma.f64 (pow.f64 (sqrt.f64 y) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (.f64 (.f64 (pow.f64 (sqrt.f64 y) 3/4) x) (*.f64 2 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2) (pow.f64 (sqrt.f64 x) 1/4))
(*.f64 (pow.f64 (sqrt.f64 x) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 y (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2) (pow.f64 (sqrt.f64 x) 1/4)))) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) 3/2) (pow.f64 (sqrt.f64 x) 1/4)))
(.f64 (.f64 (pow.f64 (sqrt.f64 x) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (+.f64 (*.f64 2 y) 1))
(pow.f64 (sqrt.f64 y) 1/4)
(sqrt.f64 (sqrt.f64 (sqrt.f64 y)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 y) 1/4) x) (pow.f64 (sqrt.f64 y) 1/4))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (+.f64 x 1))
(pow.f64 (sqrt.f64 x) 1/4)
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 x) 1/4)) (pow.f64 (sqrt.f64 x) 1/4))
(*.f64 (+.f64 y 1) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8)) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(sqrt.f64 (+.f64 x y))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 x y))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 x y))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 x y))
(.f64 (.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 x y))
(.f64 (.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(sqrt.f64 (+.f64 x y))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) 2))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3)) 2) (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (sqrt.f64 (+.f64 x y)) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 2 (.f64 1/2 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 x y))
(*.f64 1 (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 x y))
(*.f64 (sqrt.f64 (+.f64 x y)) 1)
(sqrt.f64 (+.f64 x y))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)
(sqrt.f64 (+.f64 x y))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2) 1/2)
(sqrt.f64 (+.f64 x y))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3) 1/3)
(sqrt.f64 (+.f64 x y))
(pow.f64 (+.f64 x y) 1/2)
(sqrt.f64 (+.f64 x y))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 2)
(sqrt.f64 (+.f64 x y))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 4)
(sqrt.f64 (+.f64 x y))
(pow.f64 (sqrt.f64 (+.f64 x y)) 1)
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2))
(sqrt.f64 (+.f64 x y))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3))
(sqrt.f64 (+.f64 x y))
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 x y))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8))
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))))
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 2 (.f64 1/2 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 1 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 1)
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(pow.f64 (sqrt.f64 (+.f64 x y)) 1/4)
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) 3)
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/2)
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 1/8) 2)
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4) 1/3)
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 1)
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/4))
(fabs.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 x y))
✓	0.3b	(/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1/3) 3)
✓	0.4b	(/.f64 (sqrt.f64 (+.f64 x y)) 1/3)

Compiler

Compiled 27 to 12 computations (55.6% saved)

series74.0ms (0.6%)

Counts

2 → 16

Calls

12 calls:

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

Compiler

Compiled 6275 to 4200 computations (33.1% saved)

rewrite174.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

206×	`egg-rr`
144×	`egg-rr`

Counts

2 → 350

Calls

Call 1

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

Outputs

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

simplify886.0ms (7.1%)

Algorithm

1×

egglog

Counts

366 → 480

Calls

Call 1

Inputs
(*.f64 3 (sqrt.f64 y))
(+.f64 (.f64 3 (sqrt.f64 y)) (.f64 3/2 (/.f64 x (sqrt.f64 y))))
(+.f64 (.f64 3 (sqrt.f64 y)) (+.f64 (.f64 -3/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (.f64 3/2 (/.f64 x (sqrt.f64 y)))))
(+.f64 (.f64 3 (sqrt.f64 y)) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 3)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2)))) (+.f64 (.f64 -3/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (*.f64 3/2 (/.f64 x (sqrt.f64 y))))))
(*.f64 3 (sqrt.f64 x))
(+.f64 (.f64 3/2 (/.f64 y (sqrt.f64 x))) (.f64 3 (sqrt.f64 x)))
(+.f64 (.f64 3/2 (/.f64 y (sqrt.f64 x))) (+.f64 (.f64 3 (sqrt.f64 x)) (.f64 -3/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x)))))
(+.f64 (.f64 3/2 (/.f64 y (sqrt.f64 x))) (+.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2)) (.f64 (pow.f64 (sqrt.f64 x) 2) (sqrt.f64 x)))) (.f64 -3/2 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))))))
(sqrt.f64 y)
(+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (sqrt.f64 y)))
(+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 3)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (sqrt.f64 y))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 1/2 (/.f64 y (sqrt.f64 x))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (/.f64 y (sqrt.f64 x)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (+.f64 (.f64 1/2 (/.f64 y (sqrt.f64 x))) (.f64 1/4 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2)) (.f64 (pow.f64 (sqrt.f64 x) 2) (sqrt.f64 x)))))))
(if (!=.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) 0) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (/.f64 1/3 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2))) (*.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 (sqrt.f64 (+.f64 x y)) 0) (/.f64 1 (/.f64 1/3 (sqrt.f64 (+.f64 x y)))) (*.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 0) (/.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (/.f64 1/3 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (*.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 3 0) (.f64 (sqrt.f64 (+.f64 x y)) 3) (.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3) 0) (/.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (/.f64 1/3 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) 0) (/.f64 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) (/.f64 1 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)))) (.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 -3 0) (.f64 (sqrt.f64 (+.f64 x y)) 3) (.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 (cbrt.f64 9) 0) (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 3)) (/.f64 1 (cbrt.f64 9))) (.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) 3) 0) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (/.f64 1/3 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2))) (.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (sqrt.f64 3)) 0) (/.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 3)) (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (sqrt.f64 3)))) (.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 (sqrt.f64 3) 0) (.f64 (sqrt.f64 (+.f64 x y)) 3) (.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) 0) (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) (/.f64 1 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2)))) (.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 0) (/.f64 1 (/.f64 1/3 (sqrt.f64 (+.f64 x y)))) (.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9)) 0) (/.f64 (cbrt.f64 3) (/.f64 1 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9)))) (*.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) 0) (/.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) (/.f64 1 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)))) (.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 1 0) (.f64 (sqrt.f64 (+.f64 x y)) 3) (.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 9)) 0) (/.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 3)) (/.f64 1 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 9)))) (.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)) 0) (/.f64 (sqrt.f64 3) (/.f64 1 (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)))) (*.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 9 0) (.f64 (sqrt.f64 (+.f64 x y)) 3) (.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 (cbrt.f64 9) 0) (.f64 (sqrt.f64 (+.f64 x y)) 3) (.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 1/3 0) (.f64 (sqrt.f64 (+.f64 x y)) 3) (.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) -3)) (*.f64 (sqrt.f64 (+.f64 x y)) 3))
(if (!=.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 3) -1/3)) (*.f64 (sqrt.f64 (+.f64 x y)) 3))
(-.f64 0 (*.f64 (sqrt.f64 (+.f64 x y)) -3))
(-.f64 (/.f64 0 -1/3) (*.f64 (sqrt.f64 (+.f64 x y)) -3))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 3)) (cbrt.f64 9))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)) (sqrt.f64 3))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3)))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) -3)
(.f64 (sqrt.f64 3) (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)))
(.f64 (cbrt.f64 3) (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 3)) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (sqrt.f64 3)))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) 3))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 3)) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 9)))
(*.f64 (sqrt.f64 (+.f64 x y)) 3)
(*.f64 3 (sqrt.f64 (+.f64 x y)))
(.f64 1 (.f64 (sqrt.f64 (+.f64 x y)) 3))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 1)
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 -3 (neg.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (cbrt.f64 9) (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 3)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) 3) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (sqrt.f64 3)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 3)))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9)) (cbrt.f64 3))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 9)) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 3)))
(.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)) (sqrt.f64 (sqrt.f64 3))) (sqrt.f64 (sqrt.f64 3)))
(.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))) (cbrt.f64 3))
(.f64 (.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 3)) (neg.f64 (sqrt.f64 3)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (neg.f64 (sqrt.f64 3))) (sqrt.f64 3))
(.f64 (.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 -3)) (cbrt.f64 9))
(.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3)) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3))) 2))
(.f64 (sqrt.f64 (sqrt.f64 3)) (.f64 (sqrt.f64 (sqrt.f64 3)) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3))))
(.f64 (cbrt.f64 (sqrt.f64 3)) (.f64 (cbrt.f64 3) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3))))
(.f64 (cbrt.f64 (cbrt.f64 3)) (.f64 (cbrt.f64 (cbrt.f64 9)) (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9))))
(.f64 (cbrt.f64 (sqrt.f64 3)) (.f64 (cbrt.f64 (sqrt.f64 3)) (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) (.f64 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) 1))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 3)) (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (sqrt.f64 3)) 1))
(.f64 (cbrt.f64 3) (.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9)) 1))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 3)) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 9)) 1))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 (sqrt.f64 3) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3))) 2) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 (cbrt.f64 3) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2))))
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(.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9)) (cbrt.f64 (cbrt.f64 1/9))) (pow.f64 (cbrt.f64 (cbrt.f64 1/9)) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) 2))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) (.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2))) -1/3))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) -3)) (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) -1/3))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) (.f64 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) 3) 1/3))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 3)) (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (sqrt.f64 3)) 1/3))
(.f64 (cbrt.f64 3) (.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9)) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) 1/3))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 3)) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 9)) 1/3))
(.f64 (sqrt.f64 3) (.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3))) 2) (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) 1/3)))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 (cbrt.f64 3) (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) 1/3)))
(.f64 (cbrt.f64 (cbrt.f64 1/3)) (.f64 (cbrt.f64 (cbrt.f64 1/9)) (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 3))))
(.f64 (cbrt.f64 (sqrt.f64 1/3)) (.f64 (cbrt.f64 (sqrt.f64 1/3)) (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 3))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) (*.f64 (cbrt.f64 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2)))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (sqrt.f64 (sqrt.f64 1/3)) (.f64 (sqrt.f64 (sqrt.f64 1/3)) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3))))
(.f64 (cbrt.f64 (sqrt.f64 1/3)) (.f64 (cbrt.f64 1/3) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3))))
(.f64 (/.f64 (.f64 1/3 (sqrt.f64 (+.f64 x y))) -1) -3)
(.f64 (/.f64 (.f64 1/3 (sqrt.f64 (+.f64 x y))) 3) 9)
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2))))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) (sqrt.f64 1/3)) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3)) (sqrt.f64 1/3)))
(.f64 (.f64 (sqrt.f64 1/3) (sqrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3))) (.f64 (sqrt.f64 1/3) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3))))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9)) (/.f64 1 (cbrt.f64 9)))
(.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (/.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) (neg.f64 (cbrt.f64 9))))
(.f64 (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) -3)) 1) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) -3))
(.f64 (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) -3)) (sqrt.f64 3)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) (neg.f64 (sqrt.f64 3))))
(.f64 (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) (cbrt.f64 -3)) (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2))) (cbrt.f64 9)))
(.f64 (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) (neg.f64 (sqrt.f64 3))) (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2))) (sqrt.f64 3)))
(.f64 (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) -1) (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2))) 3))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 3)) (/.f64 3 (neg.f64 (cbrt.f64 9))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 3)) (/.f64 3 (neg.f64 (sqrt.f64 3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -3)) (/.f64 -3 (cbrt.f64 9)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (neg.f64 (sqrt.f64 3))) (/.f64 -3 (sqrt.f64 3)))
(.f64 (cbrt.f64 -1/3) (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) -3) (cbrt.f64 9)))
(.f64 (/.f64 1 (neg.f64 (sqrt.f64 3))) (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) -3) (sqrt.f64 3)))
(.f64 (cbrt.f64 -1/3) (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) (neg.f64 (cbrt.f64 9))))
(.f64 (neg.f64 (sqrt.f64 1/3)) (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) (neg.f64 (sqrt.f64 3))))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)) (sqrt.f64 1/3))
(.f64 (sqrt.f64 1/3) (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)))
(.f64 (cbrt.f64 1/3) (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 3)))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 3)) (cbrt.f64 1/3))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) -1)
(.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -3) (neg.f64 (sqrt.f64 1/3))) (sqrt.f64 1/3))
(*.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9)) (cbrt.f64 1/3)) (cbrt.f64 1/3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3))) (cbrt.f64 1/3))
(/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) -3) -1/3)
(/.f64 (.f64 3 (.f64 (sqrt.f64 (+.f64 x y)) -3)) (*.f64 3 -3))
(/.f64 (.f64 1/3 (/.f64 (sqrt.f64 (+.f64 x y)) -3)) (.f64 1/3 -1/3))
(/.f64 (.f64 3 (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3))) (sqrt.f64 27))
(/.f64 (.f64 3 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9))) (*.f64 3 (cbrt.f64 9)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3))) (neg.f64 (sqrt.f64 3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9)) (cbrt.f64 9))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 3)
(/.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) -1)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -3) -3)
(/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y))) 1/3)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)) (sqrt.f64 3))
(/.f64 (sqrt.f64 (+.f64 x y)) 1)
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) -3) -1) 3)
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 3))) (cbrt.f64 1/9))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2))) (cbrt.f64 9))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3))) (cbrt.f64 3))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) -3))) (cbrt.f64 -3))
(/.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/3) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 1/3)
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 1/3)) 3) (cbrt.f64 9))
(/.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 1/3))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2))) (sqrt.f64 3))
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 3) 9)
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 1/3)) 3) (sqrt.f64 3))
(/.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2)) 1/3)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 3)) (cbrt.f64 3))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -1/3) -1/3)
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 3)) 1/3) (cbrt.f64 1/9))
(/.f64 (.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) 1/3)) (cbrt.f64 -1/3))
(/.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2)) (cbrt.f64 3))
(/.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) -3)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2)) (cbrt.f64 -3))
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9)) 1) (cbrt.f64 9))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) -3) 1) -1/3)
(/.f64 (.f64 3 (.f64 (sqrt.f64 (+.f64 x y)) 3)) 9)
(/.f64 (.f64 (cbrt.f64 3) (.f64 1/3 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 1/9))
(/.f64 (.f64 -1 (.f64 1/3 (sqrt.f64 (+.f64 x y)))) -1/3)
(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9)) (cbrt.f64 (cbrt.f64 9))) (cbrt.f64 (cbrt.f64 (/.f64 27 1/3))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)) (sqrt.f64 (sqrt.f64 3))) (sqrt.f64 (sqrt.f64 3)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))) (cbrt.f64 3))
(/.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y))) 3) 1/9)
(/.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y))) (sqrt.f64 3)) (sqrt.f64 1/27))
(/.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y))) (cbrt.f64 9)) (cbrt.f64 (/.f64 1/27 9)))
(/.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y))) (cbrt.f64 1/3)) (cbrt.f64 1/9))
(/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 27) 1/27)
(/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9)) (cbrt.f64 1/9))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -3) (sqrt.f64 3)) (neg.f64 (sqrt.f64 3)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -3) (cbrt.f64 3)) (neg.f64 (cbrt.f64 9)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) -3) (cbrt.f64 -1/3)) (cbrt.f64 1/9))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) -3) (sqrt.f64 1/3)) (neg.f64 (sqrt.f64 1/3)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) -3) (cbrt.f64 1/3)) (neg.f64 (cbrt.f64 1/9)))
(/.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 3)) (.f64 3 (cbrt.f64 1/9)))
(/.f64 (.f64 1/3 (.f64 1/3 (sqrt.f64 (+.f64 x y)))) 1/9)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9))) (neg.f64 (cbrt.f64 9)))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3))) (sqrt.f64 1/3))
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)) 1/3) (sqrt.f64 1/3))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) 1/3)) (cbrt.f64 1/3))
(/.f64 (.f64 (sqrt.f64 3) (.f64 1/3 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 1/3))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 1/3)) (sqrt.f64 1/3))
(/.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y))) (cbrt.f64 1/9)) (cbrt.f64 1/3))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 1/3)) (cbrt.f64 1/3))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) -3) (neg.f64 (sqrt.f64 1/3))) (sqrt.f64 1/3))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9))) (cbrt.f64 1/3))
(pow.f64 (+.f64 x y) 1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 2)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x y)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)
(pow.f64 (sqrt.f64 (+.f64 x y)) (*.f64 2 1/2))
(pow.f64 (sqrt.f64 (+.f64 x y)) (/.f64 2 2))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2) 1/2)
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3))
(fabs.f64 (sqrt.f64 (+.f64 x y)))

Outputs
(*.f64 3 (sqrt.f64 y))
(+.f64 (.f64 3 (sqrt.f64 y)) (.f64 3/2 (/.f64 x (sqrt.f64 y))))
(fma.f64 3 (sqrt.f64 y) (/.f64 (*.f64 3/2 x) (sqrt.f64 y)))
(+.f64 (.f64 3 (sqrt.f64 y)) (+.f64 (.f64 -3/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (.f64 3/2 (/.f64 x (sqrt.f64 y)))))
(fma.f64 3 (sqrt.f64 y) (fma.f64 -3/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (.f64 x x)) (sqrt.f64 y)) (/.f64 (*.f64 3/2 x) (sqrt.f64 y))))
(+.f64 (.f64 3 (sqrt.f64 y)) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 3)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2)))) (+.f64 (.f64 -3/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (*.f64 3/2 (/.f64 x (sqrt.f64 y))))))
(fma.f64 3 (sqrt.f64 y) (fma.f64 3/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 3)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2))) (fma.f64 -3/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (.f64 x x)) (sqrt.f64 y)) (/.f64 (*.f64 3/2 x) (sqrt.f64 y)))))
(*.f64 3 (sqrt.f64 x))
(+.f64 (.f64 3/2 (/.f64 y (sqrt.f64 x))) (.f64 3 (sqrt.f64 x)))
(fma.f64 3/2 (/.f64 y (sqrt.f64 x)) (*.f64 3 (sqrt.f64 x)))
(+.f64 (.f64 3/2 (/.f64 y (sqrt.f64 x))) (+.f64 (.f64 3 (sqrt.f64 x)) (.f64 -3/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x)))))
(fma.f64 3/2 (/.f64 y (sqrt.f64 x)) (fma.f64 3 (sqrt.f64 x) (/.f64 (.f64 -3/2 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (*.f64 y y))) (sqrt.f64 x))))
(+.f64 (.f64 3/2 (/.f64 y (sqrt.f64 x))) (+.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2)) (.f64 (pow.f64 (sqrt.f64 x) 2) (sqrt.f64 x)))) (.f64 -3/2 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))))))
(fma.f64 3/2 (/.f64 y (sqrt.f64 x)) (fma.f64 3 (sqrt.f64 x) (fma.f64 3/4 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2)) (.f64 (pow.f64 (sqrt.f64 x) 2) (sqrt.f64 x))) (/.f64 (.f64 -3/2 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (*.f64 y y))) (sqrt.f64 x)))))
(sqrt.f64 y)
(+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(fma.f64 1/2 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
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(.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 1/3) -3))) (sqrt.f64 1/3))
(*.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 x y))
(.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9)) (cbrt.f64 1/3)) (cbrt.f64 1/3))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (cbrt.f64 9) (cbrt.f64 1/3))) (cbrt.f64 1/3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3))) (cbrt.f64 1/3))
(.f64 (.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2)) (cbrt.f64 1/3))
(/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) -3) -1/3)
(/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 -1/3 -3))
(/.f64 (.f64 3 (.f64 (sqrt.f64 (+.f64 x y)) -3)) (*.f64 3 -3))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) -9)
(/.f64 (.f64 1/3 (/.f64 (sqrt.f64 (+.f64 x y)) -3)) (.f64 1/3 -1/3))
(/.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y))) -3) -1/9)
(/.f64 (.f64 3 (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3))) (sqrt.f64 27))
(/.f64 (.f64 3 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9))) (*.f64 3 (cbrt.f64 9)))
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) (cbrt.f64 9)) (*.f64 3 (cbrt.f64 9)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3))) (neg.f64 (sqrt.f64 3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)) (sqrt.f64 3))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9)) (cbrt.f64 9))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 3)
(/.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) -1)
(/.f64 (sqrt.f64 (+.f64 x y)) (neg.f64 -1))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -3) -3)
(/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y))) 1/3)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)) (sqrt.f64 3))
(/.f64 (sqrt.f64 (+.f64 x y)) 1)
(sqrt.f64 (+.f64 x y))
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) -3) -1) 3)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (neg.f64 -3)) 3)
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 3))) (cbrt.f64 1/9))
(/.f64 (.f64 (.f64 1/3 (cbrt.f64 3)) (sqrt.f64 (+.f64 x y))) (cbrt.f64 1/9))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2))) (cbrt.f64 9))
(/.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2))) (cbrt.f64 9))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3))) (cbrt.f64 3))
(/.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2)) (cbrt.f64 3))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) -3))) (cbrt.f64 -3))
(/.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/3) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 1/3)
(/.f64 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 1/3)) 1/3)
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 1/3)) 3) (cbrt.f64 9))
(/.f64 (.f64 (sqrt.f64 (+.f64 x y)) (.f64 (cbrt.f64 1/3) 3)) (cbrt.f64 9))
(/.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 1/3))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2))) (sqrt.f64 3))
(/.f64 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 1/3)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2))) (sqrt.f64 3))
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 3) 9)
(/.f64 (.f64 3 (.f64 (sqrt.f64 (+.f64 x y)) 3)) 9)
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 1/3)) 3) (sqrt.f64 3))
(/.f64 (.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 1/3) 3)) (sqrt.f64 3))
(/.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2)) 1/3)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 3)) (cbrt.f64 3))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -1/3) -1/3)
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 3)) 1/3) (cbrt.f64 1/9))
(/.f64 (.f64 (.f64 1/3 (cbrt.f64 3)) (sqrt.f64 (+.f64 x y))) (cbrt.f64 1/9))
(/.f64 (.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) 1/3)) (cbrt.f64 -1/3))
(/.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2))) 1/3)) (cbrt.f64 -1/3))
(/.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2)) (cbrt.f64 3))
(/.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) -3)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2)) (cbrt.f64 -3))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) -3))) (cbrt.f64 -3))
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9)) 1) (cbrt.f64 9))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9)) (cbrt.f64 9))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) -3) 1) -1/3)
(/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 -1/3 -3))
(/.f64 (.f64 3 (.f64 (sqrt.f64 (+.f64 x y)) 3)) 9)
(/.f64 (.f64 (cbrt.f64 3) (.f64 1/3 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 1/9))
(/.f64 (.f64 (.f64 1/3 (cbrt.f64 3)) (sqrt.f64 (+.f64 x y))) (cbrt.f64 1/9))
(/.f64 (.f64 -1 (.f64 1/3 (sqrt.f64 (+.f64 x y)))) -1/3)
(/.f64 (neg.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y)))) -1/3)
(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9)) (cbrt.f64 (cbrt.f64 9))) (cbrt.f64 (cbrt.f64 (/.f64 27 1/3))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9)) (cbrt.f64 (cbrt.f64 9))) (cbrt.f64 (cbrt.f64 81)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)) (sqrt.f64 (sqrt.f64 3))) (sqrt.f64 (sqrt.f64 3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)) (sqrt.f64 3))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))) (cbrt.f64 3))
(/.f64 (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)) (.f64 (cbrt.f64 3) (cbrt.f64 (sqrt.f64 3))))
(/.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y))) 3) 1/9)
(/.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y))) (sqrt.f64 3)) (sqrt.f64 1/27))
(/.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y))) (cbrt.f64 9)) (cbrt.f64 (/.f64 1/27 9)))
(/.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y))) (cbrt.f64 9)) (cbrt.f64 1/243))
(/.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y))) (cbrt.f64 1/3)) (cbrt.f64 1/9))
(/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 27) 1/27)
(/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 1/27 27))
(/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9)) (cbrt.f64 1/9))
(/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (cbrt.f64 1/9) (cbrt.f64 9)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -3) (sqrt.f64 3)) (neg.f64 (sqrt.f64 3)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3))) (/.f64 -3 (sqrt.f64 3)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -3) (cbrt.f64 3)) (neg.f64 (cbrt.f64 9)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) -3) (cbrt.f64 -1/3)) (cbrt.f64 1/9))
(/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (cbrt.f64 -1/3) -3)) (cbrt.f64 1/9))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) -3) (sqrt.f64 1/3)) (neg.f64 (sqrt.f64 1/3)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 1/3) -3)) (neg.f64 (sqrt.f64 1/3)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) -3) (cbrt.f64 1/3)) (neg.f64 (cbrt.f64 1/9)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (cbrt.f64 1/3) -3)) (neg.f64 (cbrt.f64 1/9)))
(/.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 3)) (.f64 3 (cbrt.f64 1/9)))
(/.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 3)) (.f64 (cbrt.f64 1/9) 3))
(/.f64 (.f64 1/3 (.f64 1/3 (sqrt.f64 (+.f64 x y)))) 1/9)
(/.f64 (.f64 (.f64 1/3 1/3) (sqrt.f64 (+.f64 x y))) 1/9)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9))) (neg.f64 (cbrt.f64 9)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9)) (cbrt.f64 9))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3))) (sqrt.f64 1/3))
(/.f64 (.f64 (.f64 (sqrt.f64 3) 1/3) (sqrt.f64 (+.f64 x y))) (sqrt.f64 1/3))
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)) 1/3) (sqrt.f64 1/3))
(/.f64 (.f64 (.f64 (sqrt.f64 3) 1/3) (sqrt.f64 (+.f64 x y))) (sqrt.f64 1/3))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) 1/3)) (cbrt.f64 1/3))
(/.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2))) 1/3) (cbrt.f64 1/3))
(/.f64 (.f64 (sqrt.f64 3) (.f64 1/3 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 1/3))
(/.f64 (.f64 (.f64 (sqrt.f64 3) 1/3) (sqrt.f64 (+.f64 x y))) (sqrt.f64 1/3))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 1/3)) (sqrt.f64 1/3))
(/.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y))) (cbrt.f64 1/9)) (cbrt.f64 1/3))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 1/3)) (cbrt.f64 1/3))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) -3) (neg.f64 (sqrt.f64 1/3))) (sqrt.f64 1/3))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 9))) (cbrt.f64 1/3))
(/.f64 (.f64 (sqrt.f64 (+.f64 x y)) (.f64 (cbrt.f64 9) 1/3)) (cbrt.f64 1/3))
(pow.f64 (+.f64 x y) 1/2)
(sqrt.f64 (+.f64 x y))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 2)
(sqrt.f64 (+.f64 x y))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3) 1/3)
(sqrt.f64 (+.f64 x y))
(pow.f64 (sqrt.f64 (+.f64 x y)) 1)
(sqrt.f64 (+.f64 x y))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)
(sqrt.f64 (+.f64 x y))
(pow.f64 (sqrt.f64 (+.f64 x y)) (*.f64 2 1/2))
(sqrt.f64 (+.f64 x y))
(pow.f64 (sqrt.f64 (+.f64 x y)) (/.f64 2 2))
(sqrt.f64 (+.f64 x y))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2) 1/2)
(sqrt.f64 (+.f64 x y))
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 2))
(sqrt.f64 (+.f64 x y))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3))
(sqrt.f64 (+.f64 x y))
(fabs.f64 (sqrt.f64 (+.f64 x y)))

eval284.0ms (2.3%)

Compiler: Compiled 12791 to 6390 computations (50% saved)

prune155.0ms (1.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	709	2	711
Fresh	0	0	0
Picked	0	1	1
Done	2	4	6
Total	711	7	718

Error

Counts

718 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(if (!=.f64 (+.f64 x y) 0) (/.f64 1 (pow.f64 (+.f64 x y) -1/2)) (sqrt.f64 (+.f64 x y)))
▶	0.3b	(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) -3) 3)
✓	0.3b	(/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1/3) 3)
▶	0.2b	(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -1/3) -1/3)
✓	0.0b	(sqrt.f64 (+.f64 x y))
✓	31.8b	(sqrt.f64 y)
✓	31.7b	(sqrt.f64 x)

Compiler

Compiled 65 to 47 computations (27.7% saved)

localize31.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 x y))
✓	0.4b	(*.f64 (sqrt.f64 (+.f64 x y)) -1/3)
✓	0.4b	(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -1/3) -1/3)

Compiler

Compiled 26 to 11 computations (57.7% saved)

series130.0ms (1%)

Counts

2 → 16

Calls

12 calls:

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

Compiler

Compiled 6275 to 4200 computations (33.1% saved)

rewrite163.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

191×	`egg-rr`
137×	`egg-rr`

Counts

2 → 328

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1/3 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)) 0) (/.f64 (cbrt.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (/.f64 -1/3 (cbrt.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 0) (/.f64 -1/3 (/.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (+.f64 x y)) 0) (/.f64 -1/3 (/.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 0) (/.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (/.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) 0) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) 1/9) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y))) 1/9) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cbrt.f64 1/9) (sqrt.f64 (+.f64 x y))) 1/9) (*.f64 (cbrt.f64 1/9) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/9 (*.f64 -1/3 (*.f64 1/3 (sqrt.f64 (+.f64 x y))))) (*.f64 -1/3 -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/9 (*.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))))) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/9 (*.f64 1/3 (sqrt.f64 (+.f64 x y)))) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/9 (*.f64 (cbrt.f64 1/9) (sqrt.f64 (+.f64 x y)))) (*.f64 -1/3 (cbrt.f64 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 1/3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 1/9) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (*.f64 1/3 (sqrt.f64 (+.f64 x y)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (*.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))))) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) -1/3)) (cbrt.f64 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) 1) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/9 (sqrt.f64 (+.f64 x y))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) -1/3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 1/9)) (cbrt.f64 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) (cbrt.f64 -3)) (cbrt.f64 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 1/9) (sqrt.f64 (+.f64 x y))) (cbrt.f64 -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) 1/9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 1/9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/9 (neg.f64 (sqrt.f64 (+.f64 x y)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/9 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 3))))))

simplify720.0ms (5.8%)

Algorithm

1×

egglog

Counts

344 → 428

Calls

Call 1

Inputs
(sqrt.f64 y)
(+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (sqrt.f64 y)))
(+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 3)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (sqrt.f64 y))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 1/2 (/.f64 y (sqrt.f64 x))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (/.f64 y (sqrt.f64 x)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (+.f64 (.f64 1/2 (/.f64 y (sqrt.f64 x))) (.f64 1/4 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2)) (.f64 (pow.f64 (sqrt.f64 x) 2) (sqrt.f64 x)))))))
(*.f64 -1/3 (sqrt.f64 y))
(+.f64 (.f64 -1/6 (/.f64 x (sqrt.f64 y))) (.f64 -1/3 (sqrt.f64 y)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (+.f64 (.f64 -1/6 (/.f64 x (sqrt.f64 y))) (.f64 -1/3 (sqrt.f64 y))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (+.f64 (.f64 -1/6 (/.f64 x (sqrt.f64 y))) (+.f64 (.f64 -1/12 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 3)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2)))) (*.f64 -1/3 (sqrt.f64 y)))))
(*.f64 -1/3 (sqrt.f64 x))
(+.f64 (.f64 -1/3 (sqrt.f64 x)) (.f64 -1/6 (/.f64 y (sqrt.f64 x))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (.f64 -1/3 (sqrt.f64 x)) (.f64 -1/6 (/.f64 y (sqrt.f64 x)))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (.f64 -1/3 (sqrt.f64 x)) (+.f64 (.f64 -1/6 (/.f64 y (sqrt.f64 x))) (.f64 -1/12 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2)) (*.f64 (pow.f64 (sqrt.f64 x) 2) (sqrt.f64 x)))))))
(if (!=.f64 -1/3 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)) 0) (/.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (/.f64 -1/3 (cbrt.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 0) (/.f64 -1/3 (/.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (sqrt.f64 (+.f64 x y)) 0) (/.f64 -1/3 (/.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 0) (/.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (/.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) 0) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) -1)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (.f64 (cbrt.f64 1/9) (sqrt.f64 (+.f64 x y))) 0) (/.f64 (cbrt.f64 -1/3) (/.f64 -1/3 (.f64 (cbrt.f64 1/9) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 1 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) 0) (/.f64 (*.f64 -1/3 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (/.f64 -1/3 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (cbrt.f64 1/9) 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) -1/3) 0) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) -1)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (*.f64 -1/3 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) 0) (/.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (/.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) 0) (/.f64 (cbrt.f64 (pow.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)) (/.f64 -1/3 (cbrt.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 0) (/.f64 (*.f64 -1/3 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (/.f64 -1/3 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 0) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -3) 0) (/.f64 -1/3 (/.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) 0) (/.f64 -3 (/.f64 1 (.f64 -1/3 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -1/3)) 0) (/.f64 (cbrt.f64 -3) (/.f64 1 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -1/3)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (cbrt.f64 -1/3) 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 3 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 1/9)) 0) (/.f64 (cbrt.f64 1/9) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 1/9)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (cbrt.f64 -1/3)) 0) (/.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (/.f64 -1/3 (cbrt.f64 (pow.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 -3 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (.f64 1/3 (sqrt.f64 (+.f64 x y))) 0) (/.f64 -1/3 (/.f64 -1/9 (.f64 1/3 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) 0) (/.f64 -1/3 (/.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2))) 0) (/.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (/.f64 -1/3 (cbrt.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (sqrt.f64 (+.f64 x y)) 0) (/.f64 1/3 (/.f64 1/3 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y))) 0) (/.f64 -1/3 (/.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)) 0) (/.f64 (neg.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))))) (/.f64 1/3 (cbrt.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 1/3 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (sqrt.f64 (+.f64 x y)))) 2) 0) (/.f64 (cbrt.f64 (.f64 1/3 (sqrt.f64 (+.f64 x y)))) (/.f64 1/3 (pow.f64 (cbrt.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y)))) 2))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) 0) (/.f64 -1 (/.f64 1/3 (.f64 -1/3 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 -1/27 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3) -1/3)) (sqrt.f64 (+.f64 x y)))
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 x y))))
(-.f64 (/.f64 0 1/3) (neg.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 1/3 (sqrt.f64 (+.f64 x y))) 3)
(*.f64 1 (sqrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) 1)
(.f64 (/.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) -1/3) (cbrt.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 1/9)) (cbrt.f64 1/9))
(.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (cbrt.f64 -1/3)))
(.f64 (cbrt.f64 -3) (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -1/3)))
(*.f64 (cbrt.f64 1/9) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 1/9)))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -3)) (cbrt.f64 -1/3))
(.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) -3)
(.f64 -3 (.f64 -1/3 (sqrt.f64 (+.f64 x y))))
(.f64 -1/3 (.f64 (sqrt.f64 (+.f64 x y)) -3))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) -3) -1/3)
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -1/3)) (cbrt.f64 -3))
(.f64 (cbrt.f64 -1/3) (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -3)))
(.f64 3 (.f64 1/3 (sqrt.f64 (+.f64 x y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (cbrt.f64 -1/3)) (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (cbrt.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 -3))
(.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -3) (cbrt.f64 1/9)) (cbrt.f64 -1/3))
(.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -3) (cbrt.f64 -1/3)) (cbrt.f64 1/9))
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(.f64 (neg.f64 (cbrt.f64 (.f64 1/3 (sqrt.f64 (+.f64 x y))))) (pow.f64 (cbrt.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y)))) 2))
(.f64 (neg.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2))))
(.f64 (cbrt.f64 (.f64 1/3 (sqrt.f64 (+.f64 x y)))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y)))) 2)))
(.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -1/3)) -1/3) (/.f64 (cbrt.f64 1/9) -3))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -3)) (/.f64 -1/3 (cbrt.f64 -3)))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) -1/3) (/.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) -1/3) -3))
(.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) -1/3) (cbrt.f64 -1/3)))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 -1/3)) (/.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) -1/3) (cbrt.f64 -3)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (cbrt.f64 -1/3)) (/.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) -3))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)) (cbrt.f64 -1/3)) (/.f64 (cbrt.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 -3)))
(.f64 (/.f64 (cbrt.f64 -1/3) -1/3) (/.f64 (.f64 (cbrt.f64 1/9) (sqrt.f64 (+.f64 x y))) -3))
(.f64 (/.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) -1/3) (/.f64 (cbrt.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)) -3))
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) -1/3) (/.f64 (.f64 -1/3 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) -3))
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 -3)) (/.f64 (.f64 -1/3 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 -1/3)))
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 -1/3)) (/.f64 (.f64 -1/3 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 -3)))
(.f64 (/.f64 (.f64 -1/3 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 -3)) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (cbrt.f64 -1/3)))
(.f64 (/.f64 (.f64 -1/3 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 -1/3)) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (cbrt.f64 -3)))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -1/3)) (cbrt.f64 1/9))
(.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)) (cbrt.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 -1/3 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 -1/3 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 -1/3 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) -1/3))
(.f64 (cbrt.f64 -1/3) (.f64 (cbrt.f64 1/9) (sqrt.f64 (+.f64 x y))))
(*.f64 -1/3 (sqrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) -1/3)
(.f64 1 (.f64 -1/3 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) 1)
(.f64 (.f64 (cbrt.f64 1/9) (sqrt.f64 (+.f64 x y))) (cbrt.f64 -1/3))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (.f64 -1/3 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 1/9) (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -1/3)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) -1/3) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) -3)
(.f64 (.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) (cbrt.f64 -1/3)) (cbrt.f64 -3))
(.f64 1/9 (.f64 (sqrt.f64 (+.f64 x y)) -3))
(.f64 (.f64 -1/3 (*.f64 1/3 (sqrt.f64 (+.f64 x y)))) 3)
(.f64 (.f64 -1/3 (cbrt.f64 1/9)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 1/9)))
(.f64 (.f64 -1/3 (cbrt.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))))) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (cbrt.f64 -1/3)))
(.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -1/3)) (cbrt.f64 (cbrt.f64 1/9))) (pow.f64 (cbrt.f64 (cbrt.f64 1/9)) 2))
(.f64 (cbrt.f64 -3) (.f64 (cbrt.f64 -1/3) (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) -1/3)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) 2) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) -1/3)))
(.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 -3) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) -1/3)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))))) 2) 2) (cbrt.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))))))
(.f64 (cbrt.f64 -1/3) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))))) 2) (cbrt.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 (cbrt.f64 -1/3) (cbrt.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 -1/3)) (.f64 (cbrt.f64 (cbrt.f64 1/9)) (*.f64 (cbrt.f64 1/9) (sqrt.f64 (+.f64 x y)))))
(*.f64 1/3 (neg.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) 1/3)
(.f64 (/.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) -1/27) -1/27)
(.f64 -1 (.f64 1/3 (sqrt.f64 (+.f64 x y))))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)))
(.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)))))
(.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -1/3)) (cbrt.f64 -3)) (cbrt.f64 -1/3))
(.f64 (/.f64 -1/3 (cbrt.f64 -3)) (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -3)))
(.f64 -3 (/.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) -3))
(.f64 (cbrt.f64 -3) (/.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) (cbrt.f64 -3)))
(.f64 (/.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) (cbrt.f64 -3)) (cbrt.f64 -3))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) -3))
(.f64 (/.f64 (.f64 -1/3 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 -3)) (/.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 -1/3)))
(.f64 (/.f64 (.f64 -1/3 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 -1/3)) (/.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 -3)))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) -3) (/.f64 -1/3 -3))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)) (cbrt.f64 -3)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (/.f64 (cbrt.f64 -1/3) (cbrt.f64 -3)) (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -1/3)))
(.f64 (/.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 -3)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)) (cbrt.f64 -1/3)))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 (pow.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)) (cbrt.f64 -3)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) -3))
(/.f64 (.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) (cbrt.f64 1/9)) (cbrt.f64 1/9))
(/.f64 (.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) -1/27) -1/27)
(/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y))) -1)
(/.f64 (.f64 -1/3 (.f64 (cbrt.f64 1/9) (sqrt.f64 (+.f64 x y)))) (cbrt.f64 1/9))
(/.f64 (.f64 -1/3 (.f64 -1/3 (*.f64 1/3 (sqrt.f64 (+.f64 x y))))) -1/9)
(/.f64 (.f64 (cbrt.f64 1/9) (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 1/9))
(/.f64 (.f64 -1/27 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) -1/27)
(/.f64 (.f64 (cbrt.f64 (.f64 1/3 (sqrt.f64 (+.f64 x y)))) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) -1/3)) (cbrt.f64 1/3))
(/.f64 (.f64 (.f64 (cbrt.f64 1/9) (sqrt.f64 (+.f64 x y))) -1/3) (cbrt.f64 1/9))
(/.f64 (.f64 (.f64 -1/3 (*.f64 1/3 (sqrt.f64 (+.f64 x y)))) -1/3) -1/9)
(/.f64 (/.f64 (.f64 -1/3 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 -1/3)) (cbrt.f64 1/9))
(/.f64 (.f64 (.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) 1/3) -1/9)
(/.f64 (.f64 (.f64 -1/3 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 1/9)) (.f64 -1/3 (cbrt.f64 1/9)))
(/.f64 (.f64 (.f64 -1/3 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) -1/27) (.f64 -1/3 -1/27))
(/.f64 (.f64 1/3 (.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))))) -1/9)
(/.f64 (.f64 (cbrt.f64 1/9) (.f64 -1/3 (.f64 -1/3 (sqrt.f64 (+.f64 x y))))) (.f64 (cbrt.f64 1/9) -1/3))
(/.f64 (.f64 -1/27 (.f64 -1/3 (.f64 -1/3 (sqrt.f64 (+.f64 x y))))) (.f64 -1/27 -1/3))
(/.f64 (.f64 (.f64 -1/3 (.f64 1/3 (sqrt.f64 (+.f64 x y)))) -1/3) (.f64 -1/9 1))
(/.f64 (.f64 (.f64 -1/3 (.f64 1/3 (sqrt.f64 (+.f64 x y)))) 1/9) (.f64 -1/9 -1/3))
(/.f64 (.f64 (.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) 1/9) -1/27)
(/.f64 (.f64 (.f64 1/3 (sqrt.f64 (+.f64 x y))) 1/9) -1/9)
(/.f64 (.f64 (.f64 (cbrt.f64 1/9) (sqrt.f64 (+.f64 x y))) 1/9) (*.f64 (cbrt.f64 1/9) -1/3))
(/.f64 (.f64 1/9 (.f64 -1/3 (.f64 1/3 (sqrt.f64 (+.f64 x y))))) (.f64 -1/3 -1/9))
(/.f64 (.f64 1/9 (.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))))) -1/27)
(/.f64 (.f64 1/9 (.f64 1/3 (sqrt.f64 (+.f64 x y)))) -1/9)
(/.f64 (.f64 1/9 (.f64 (cbrt.f64 1/9) (sqrt.f64 (+.f64 x y)))) (*.f64 -1/3 (cbrt.f64 1/9)))
(/.f64 (.f64 -1/3 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) -1/3)
(/.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 1)
(/.f64 (.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) 1/3) 1/3)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 1/9) -1/3)
(/.f64 (.f64 -1/3 (.f64 1/3 (sqrt.f64 (+.f64 x y)))) 1/3)
(/.f64 (.f64 -1/3 (.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))))) 1/9)
(/.f64 (.f64 1/3 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) 1/3)
(/.f64 (.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) -1/3)) (cbrt.f64 -1/3))
(/.f64 (.f64 (.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) 1) -1/3)
(/.f64 (*.f64 1/9 (sqrt.f64 (+.f64 x y))) -1/3)
(/.f64 (.f64 (.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) -1/3) 1/9)
(/.f64 (/.f64 (.f64 -1/3 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 1/9)) (cbrt.f64 -1/3))
(/.f64 (/.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) (cbrt.f64 -3)) (cbrt.f64 -1/3))
(/.f64 (sqrt.f64 (+.f64 x y)) -3)
(/.f64 (*.f64 (cbrt.f64 1/9) (sqrt.f64 (+.f64 x y))) (cbrt.f64 -3))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) 1/9) 1/3)
(/.f64 (.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) 1/9) 1/9)
(/.f64 (*.f64 1/9 (neg.f64 (sqrt.f64 (+.f64 x y)))) 1/3)
(/.f64 (.f64 1/9 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) 1/9)
(pow.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) 3)
(pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 1)
(neg.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 3))

Outputs
(sqrt.f64 y)
(+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(fma.f64 1/2 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (sqrt.f64 y)))
(fma.f64 1/2 (/.f64 x (sqrt.f64 y)) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (.f64 x x)) (sqrt.f64 y)) (sqrt.f64 y)))
(+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 3)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (sqrt.f64 y))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 y)) (fma.f64 1/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 3)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2))) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (.f64 x x)) (sqrt.f64 y)) (sqrt.f64 y))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 1/2 (/.f64 y (sqrt.f64 x))))
(+.f64 (sqrt.f64 x) (/.f64 (*.f64 1/2 y) (sqrt.f64 x)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (/.f64 y (sqrt.f64 x)))))
(fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (.f64 y y)) (sqrt.f64 x)) (+.f64 (sqrt.f64 x) (/.f64 (*.f64 1/2 y) (sqrt.f64 x))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (+.f64 (.f64 1/2 (/.f64 y (sqrt.f64 x))) (.f64 1/4 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2)) (.f64 (pow.f64 (sqrt.f64 x) 2) (sqrt.f64 x)))))))
(fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (.f64 y y)) (sqrt.f64 x)) (+.f64 (sqrt.f64 x) (fma.f64 1/2 (/.f64 y (sqrt.f64 x)) (/.f64 (.f64 1/4 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2))) (*.f64 (pow.f64 (sqrt.f64 x) 2) (sqrt.f64 x))))))
(*.f64 -1/3 (sqrt.f64 y))
(+.f64 (.f64 -1/6 (/.f64 x (sqrt.f64 y))) (.f64 -1/3 (sqrt.f64 y)))
(fma.f64 -1/6 (/.f64 x (sqrt.f64 y)) (*.f64 -1/3 (sqrt.f64 y)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (+.f64 (.f64 -1/6 (/.f64 x (sqrt.f64 y))) (.f64 -1/3 (sqrt.f64 y))))
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(.f64 (/.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) -1/27) -1/27)
(/.f64 (*.f64 1/81 (sqrt.f64 (+.f64 x y))) -1/27)
(.f64 -1 (.f64 1/3 (sqrt.f64 (+.f64 x y))))
(*.f64 -1/3 (sqrt.f64 (+.f64 x y)))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))))) (cbrt.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)))
(*.f64 -1/3 (sqrt.f64 (+.f64 x y)))
(.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)))))
(*.f64 -1/3 (sqrt.f64 (+.f64 x y)))
(.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -1/3)) (cbrt.f64 -3)) (cbrt.f64 -1/3))
(.f64 (/.f64 -1/3 (cbrt.f64 -3)) (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -3)))
(/.f64 (.f64 (sqrt.f64 (+.f64 x y)) (.f64 (cbrt.f64 -3) -1/3)) (cbrt.f64 -3))
(.f64 -3 (/.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) -3))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 -3 1/9))
(.f64 (cbrt.f64 -3) (/.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) (cbrt.f64 -3)))
(/.f64 (.f64 (cbrt.f64 -3) (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 -3))
(.f64 (/.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) (cbrt.f64 -3)) (cbrt.f64 -3))
(/.f64 (.f64 (cbrt.f64 -3) (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 -3))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) -3))
(/.f64 (sqrt.f64 (+.f64 x y)) -3)
(.f64 (/.f64 (.f64 -1/3 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 -3)) (/.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 -1/3)))
(/.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) (.f64 (cbrt.f64 -1/3) (cbrt.f64 -3)))
(.f64 (/.f64 (.f64 -1/3 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 -1/3)) (/.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 -3)))
(/.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) (.f64 (cbrt.f64 -1/3) (cbrt.f64 -3)))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) -3) (/.f64 -1/3 -3))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 -3 1/9))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)) (cbrt.f64 -3)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2) -3)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (/.f64 (cbrt.f64 -1/3) (cbrt.f64 -3)) (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -1/3)))
(.f64 (cbrt.f64 1/9) (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -1/3)))
(.f64 (/.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 -3)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)) (cbrt.f64 -1/3)))
(/.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) (.f64 (cbrt.f64 -1/3) (cbrt.f64 -3)))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 (pow.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2)) (cbrt.f64 -3)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) 2) -3)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) -3))
(/.f64 (sqrt.f64 (+.f64 x y)) -3)
(/.f64 (.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) (cbrt.f64 1/9)) (cbrt.f64 1/9))
(/.f64 (.f64 (.f64 -1/3 (cbrt.f64 1/9)) (sqrt.f64 (+.f64 x y))) (cbrt.f64 1/9))
(/.f64 (.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) -1/27) -1/27)
(/.f64 (*.f64 1/81 (sqrt.f64 (+.f64 x y))) -1/27)
(/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y))) -1)
(*.f64 -1/3 (sqrt.f64 (+.f64 x y)))
(/.f64 (.f64 -1/3 (.f64 (cbrt.f64 1/9) (sqrt.f64 (+.f64 x y)))) (cbrt.f64 1/9))
(/.f64 (.f64 (.f64 -1/3 (cbrt.f64 1/9)) (sqrt.f64 (+.f64 x y))) (cbrt.f64 1/9))
(/.f64 (.f64 -1/3 (.f64 -1/3 (*.f64 1/3 (sqrt.f64 (+.f64 x y))))) -1/9)
(/.f64 (.f64 (.f64 1/3 -1/3) (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) -1/9)
(/.f64 (.f64 (cbrt.f64 1/9) (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 1/9))
(/.f64 (.f64 (.f64 -1/3 (cbrt.f64 1/9)) (sqrt.f64 (+.f64 x y))) (cbrt.f64 1/9))
(/.f64 (.f64 -1/27 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) -1/27)
(/.f64 (*.f64 1/81 (sqrt.f64 (+.f64 x y))) -1/27)
(/.f64 (.f64 (cbrt.f64 (.f64 1/3 (sqrt.f64 (+.f64 x y)))) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) -1/3)) (cbrt.f64 1/3))
(/.f64 (.f64 (.f64 (cbrt.f64 1/9) (sqrt.f64 (+.f64 x y))) -1/3) (cbrt.f64 1/9))
(/.f64 (.f64 (.f64 -1/3 (cbrt.f64 1/9)) (sqrt.f64 (+.f64 x y))) (cbrt.f64 1/9))
(/.f64 (.f64 (.f64 -1/3 (*.f64 1/3 (sqrt.f64 (+.f64 x y)))) -1/3) -1/9)
(/.f64 (.f64 (.f64 1/3 -1/3) (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) -1/9)
(/.f64 (/.f64 (.f64 -1/3 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 -1/3)) (cbrt.f64 1/9))
(/.f64 (.f64 (.f64 -1/3 -1/3) (sqrt.f64 (+.f64 x y))) (*.f64 (cbrt.f64 1/9) (cbrt.f64 -1/3)))
(/.f64 (.f64 (.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) 1/3) -1/9)
(/.f64 (.f64 (.f64 1/3 -1/3) (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) -1/9)
(/.f64 (.f64 (.f64 -1/3 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 1/9)) (.f64 -1/3 (cbrt.f64 1/9)))
(/.f64 (.f64 (.f64 -1/3 (cbrt.f64 1/9)) (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (.f64 -1/3 (cbrt.f64 1/9)))
(/.f64 (.f64 (.f64 -1/3 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) -1/27) (.f64 -1/3 -1/27))
(/.f64 (.f64 -1/3 (.f64 1/81 (sqrt.f64 (+.f64 x y)))) 1/81)
(/.f64 (.f64 1/3 (.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))))) -1/9)
(/.f64 (.f64 (.f64 1/3 -1/3) (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) -1/9)
(/.f64 (.f64 (cbrt.f64 1/9) (.f64 -1/3 (.f64 -1/3 (sqrt.f64 (+.f64 x y))))) (.f64 (cbrt.f64 1/9) -1/3))
(/.f64 (.f64 (.f64 -1/3 (cbrt.f64 1/9)) (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (.f64 -1/3 (cbrt.f64 1/9)))
(/.f64 (.f64 -1/27 (.f64 -1/3 (.f64 -1/3 (sqrt.f64 (+.f64 x y))))) (.f64 -1/27 -1/3))
(/.f64 (.f64 -1/3 (.f64 1/81 (sqrt.f64 (+.f64 x y)))) 1/81)
(/.f64 (.f64 (.f64 -1/3 (.f64 1/3 (sqrt.f64 (+.f64 x y)))) -1/3) (.f64 -1/9 1))
(/.f64 (.f64 (.f64 1/3 -1/3) (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) -1/9)
(/.f64 (.f64 (.f64 -1/3 (.f64 1/3 (sqrt.f64 (+.f64 x y)))) 1/9) (.f64 -1/9 -1/3))
(/.f64 (.f64 (.f64 1/3 -1/3) (sqrt.f64 (+.f64 x y))) (/.f64 1/27 1/9))
(/.f64 (.f64 (.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) 1/9) -1/27)
(/.f64 (.f64 (.f64 1/9 -1/3) (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) -1/27)
(/.f64 (.f64 (.f64 1/3 (sqrt.f64 (+.f64 x y))) 1/9) -1/9)
(/.f64 (.f64 (.f64 1/9 1/3) (sqrt.f64 (+.f64 x y))) -1/9)
(/.f64 (.f64 (.f64 (cbrt.f64 1/9) (sqrt.f64 (+.f64 x y))) 1/9) (*.f64 (cbrt.f64 1/9) -1/3))
(/.f64 (.f64 (.f64 1/9 (cbrt.f64 1/9)) (sqrt.f64 (+.f64 x y))) (*.f64 -1/3 (cbrt.f64 1/9)))
(/.f64 (.f64 1/9 (.f64 -1/3 (.f64 1/3 (sqrt.f64 (+.f64 x y))))) (.f64 -1/3 -1/9))
(/.f64 (.f64 (.f64 1/3 -1/3) (sqrt.f64 (+.f64 x y))) (/.f64 1/27 1/9))
(/.f64 (.f64 1/9 (.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))))) -1/27)
(/.f64 (.f64 (.f64 1/9 -1/3) (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) -1/27)
(/.f64 (.f64 1/9 (.f64 1/3 (sqrt.f64 (+.f64 x y)))) -1/9)
(/.f64 (.f64 (.f64 1/9 1/3) (sqrt.f64 (+.f64 x y))) -1/9)
(/.f64 (.f64 1/9 (.f64 (cbrt.f64 1/9) (sqrt.f64 (+.f64 x y)))) (*.f64 -1/3 (cbrt.f64 1/9)))
(/.f64 (.f64 (.f64 1/9 (cbrt.f64 1/9)) (sqrt.f64 (+.f64 x y))) (*.f64 -1/3 (cbrt.f64 1/9)))
(/.f64 (.f64 -1/3 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) -1/3)
(/.f64 (.f64 (.f64 -1/3 -1/3) (sqrt.f64 (+.f64 x y))) -1/3)
(/.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 1)
(*.f64 -1/3 (sqrt.f64 (+.f64 x y)))
(/.f64 (.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) 1/3) 1/3)
(/.f64 (.f64 (.f64 1/3 -1/3) (sqrt.f64 (+.f64 x y))) 1/3)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 1/9) -1/3)
(/.f64 (*.f64 1/9 (sqrt.f64 (+.f64 x y))) -1/3)
(/.f64 (.f64 -1/3 (.f64 1/3 (sqrt.f64 (+.f64 x y)))) 1/3)
(/.f64 (.f64 (.f64 1/3 -1/3) (sqrt.f64 (+.f64 x y))) 1/3)
(/.f64 (.f64 -1/3 (.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))))) 1/9)
(/.f64 (.f64 (.f64 -1/3 -1/3) (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) 1/9)
(/.f64 (.f64 1/3 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) 1/3)
(/.f64 (.f64 (.f64 1/3 -1/3) (sqrt.f64 (+.f64 x y))) 1/3)
(/.f64 (.f64 (cbrt.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) -1/3)) (cbrt.f64 -1/3))
(/.f64 (.f64 (.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) 1) -1/3)
(/.f64 (.f64 (.f64 -1/3 -1/3) (sqrt.f64 (+.f64 x y))) -1/3)
(/.f64 (*.f64 1/9 (sqrt.f64 (+.f64 x y))) -1/3)
(/.f64 (.f64 (.f64 -1/3 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) -1/3) 1/9)
(/.f64 (.f64 (.f64 -1/3 -1/3) (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) 1/9)
(/.f64 (/.f64 (.f64 -1/3 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 1/9)) (cbrt.f64 -1/3))
(/.f64 (.f64 (.f64 -1/3 -1/3) (sqrt.f64 (+.f64 x y))) (*.f64 (cbrt.f64 -1/3) (cbrt.f64 1/9)))
(/.f64 (/.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) (cbrt.f64 -3)) (cbrt.f64 -1/3))
(/.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) (.f64 (cbrt.f64 -1/3) (cbrt.f64 -3)))
(/.f64 (sqrt.f64 (+.f64 x y)) -3)
(/.f64 (*.f64 (cbrt.f64 1/9) (sqrt.f64 (+.f64 x y))) (cbrt.f64 -3))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) 1/9) 1/3)
(/.f64 (neg.f64 (*.f64 1/9 (sqrt.f64 (+.f64 x y)))) 1/3)
(/.f64 (.f64 (.f64 -1/3 (sqrt.f64 (+.f64 x y))) 1/9) 1/9)
(/.f64 (.f64 (.f64 1/9 -1/3) (sqrt.f64 (+.f64 x y))) 1/9)
(/.f64 (*.f64 1/9 (neg.f64 (sqrt.f64 (+.f64 x y)))) 1/3)
(/.f64 (neg.f64 (*.f64 1/9 (sqrt.f64 (+.f64 x y)))) 1/3)
(/.f64 (.f64 1/9 (.f64 -1/3 (sqrt.f64 (+.f64 x y)))) 1/9)
(/.f64 (.f64 (.f64 1/9 -1/3) (sqrt.f64 (+.f64 x y))) 1/9)
(pow.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 3) 1/3)
(*.f64 -1/3 (sqrt.f64 (+.f64 x y)))
(pow.f64 (cbrt.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y)))) 3)
(*.f64 -1/3 (sqrt.f64 (+.f64 x y)))
(pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 1)
(*.f64 -1/3 (sqrt.f64 (+.f64 x y)))
(neg.f64 (*.f64 1/3 (sqrt.f64 (+.f64 x y))))
(*.f64 -1/3 (sqrt.f64 (+.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (sqrt.f64 (+.f64 x y))) 3))
(*.f64 -1/3 (sqrt.f64 (+.f64 x y)))

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 x y))
✓	0.3b	(*.f64 (sqrt.f64 (+.f64 x y)) -9)
✓	0.3b	(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) -3)
✓	0.3b	(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) -3) 3)

Compiler

Compiled 38 to 19 computations (50% saved)

series117.0ms (0.9%)

Counts

3 → 24

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) -3) 3)
1.0ms	x	@	0	(*.f64 (sqrt.f64 (+.f64 x y)) -9)
1.0ms	y	@	inf	(*.f64 (sqrt.f64 (+.f64 x y)) -9)
1.0ms	x	@	inf	(*.f64 (sqrt.f64 (+.f64 x y)) -9)
1.0ms	y	@	-inf	(*.f64 (sqrt.f64 (+.f64 x y)) -9)

Compiler

Compiled 9615 to 6490 computations (32.5% saved)

rewrite187.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

317×	`egg-rr`
183×	`egg-rr`
71×	`egg-rr`

Counts

3 → 571

Calls

Call 1

Inputs
(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) -3) 3)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) -3)
(*.f64 (sqrt.f64 (+.f64 x y)) -9)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1/3 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) 0) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3)) (/.f64 3 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2)))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 0) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) -1) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 0) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) -1) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (+.f64 x y)) 0) (/.f64 -9 (/.f64 -9 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 2)) 0) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9)) 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x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -9 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) 1) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)) (neg.f64 (sqrt.f64 27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 27 -3))) (cbrt.f64 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (*.f64 -9 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (*.f64 -9 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (*.f64 (sqrt.f64 (+.f64 x y)) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 3) (*.f64 (cbrt.f64 -3) (*.f64 (cbrt.f64 81) (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 -9)) (*.f64 (cbrt.f64 (cbrt.f64 81)) (*.f64 (cbrt.f64 81) (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 3) (*.f64 (neg.f64 (sqrt.f64 27)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 27 -3)) (*.f64 (cbrt.f64 9) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 3) (*.f64 (cbrt.f64 (*.f64 9 -27)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 9 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9)))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) -9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) 9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 9 (sqrt.f64 (+.f64 x y))))) (pow.f64 (cbrt.f64 (*.f64 9 (sqrt.f64 (+.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9 (neg.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9)) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9 (sqrt.f64 (+.f64 x y)))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 9 (sqrt.f64 (+.f64 x y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9 (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -9)) (cbrt.f64 81))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 -3 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -3 (sqrt.f64 (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 81) (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -9 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 3)) (cbrt.f64 (*.f64 9 -27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -9) (*.f64 (cbrt.f64 81) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 81) (sqrt.f64 (+.f64 x y))) (cbrt.f64 -9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) -9) -9)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) -3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -9 (*.f64 (sqrt.f64 (+.f64 x y)) -9)) -9)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -3 (sqrt.f64 (+.f64 x y))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -9 (*.f64 -3 (sqrt.f64 (+.f64 x y)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 9 (sqrt.f64 (+.f64 x y))) (sqrt.f64 3)) -3) (sqrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) (cbrt.f64 -3)) -3) (cbrt.f64 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 9 (sqrt.f64 (+.f64 x y))) (cbrt.f64 3)) -3) (cbrt.f64 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 9 (sqrt.f64 (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) -9) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 9 (sqrt.f64 (+.f64 x y))) -3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 1/3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x y)) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 9 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 3))))))

simplify1.5s (12.2%)

Algorithm

1×

egglog

Counts

595 → 831

Calls

Call 1

Inputs
(sqrt.f64 y)
(+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (sqrt.f64 y)))
(+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 3)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (sqrt.f64 y))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 1/2 (/.f64 y (sqrt.f64 x))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (/.f64 y (sqrt.f64 x)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (+.f64 (.f64 1/2 (/.f64 y (sqrt.f64 x))) (.f64 1/4 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2)) (.f64 (pow.f64 (sqrt.f64 x) 2) (sqrt.f64 x)))))))
(*.f64 3 (sqrt.f64 y))
(+.f64 (.f64 3 (sqrt.f64 y)) (.f64 3/2 (/.f64 x (sqrt.f64 y))))
(+.f64 (.f64 3 (sqrt.f64 y)) (+.f64 (.f64 -3/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (.f64 3/2 (/.f64 x (sqrt.f64 y)))))
(+.f64 (.f64 3 (sqrt.f64 y)) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 3)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2)))) (+.f64 (.f64 -3/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (*.f64 3/2 (/.f64 x (sqrt.f64 y))))))
(*.f64 3 (sqrt.f64 x))
(+.f64 (.f64 3/2 (/.f64 y (sqrt.f64 x))) (.f64 3 (sqrt.f64 x)))
(+.f64 (.f64 3/2 (/.f64 y (sqrt.f64 x))) (+.f64 (.f64 3 (sqrt.f64 x)) (.f64 -3/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x)))))
(+.f64 (.f64 3/2 (/.f64 y (sqrt.f64 x))) (+.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2)) (.f64 (pow.f64 (sqrt.f64 x) 2) (sqrt.f64 x)))) (.f64 -3/2 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))))))
(*.f64 -9 (sqrt.f64 y))
(+.f64 (.f64 -9/2 (/.f64 x (sqrt.f64 y))) (.f64 -9 (sqrt.f64 y)))
(+.f64 (.f64 -9/2 (/.f64 x (sqrt.f64 y))) (+.f64 (.f64 9/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (.f64 -9 (sqrt.f64 y))))
(+.f64 (.f64 -9/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 3)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2)))) (+.f64 (.f64 -9/2 (/.f64 x (sqrt.f64 y))) (+.f64 (.f64 9/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (*.f64 -9 (sqrt.f64 y)))))
(*.f64 -9 (sqrt.f64 x))
(+.f64 (.f64 -9 (sqrt.f64 x)) (.f64 -9/2 (/.f64 y (sqrt.f64 x))))
(+.f64 (.f64 9/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (.f64 -9 (sqrt.f64 x)) (.f64 -9/2 (/.f64 y (sqrt.f64 x)))))
(+.f64 (.f64 -9/4 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2)) (.f64 (pow.f64 (sqrt.f64 x) 2) (sqrt.f64 x)))) (+.f64 (.f64 9/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (.f64 -9 (sqrt.f64 x)) (*.f64 -9/2 (/.f64 y (sqrt.f64 x))))))
(if (!=.f64 -1/3 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) 0) (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) (/.f64 3 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 0) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) -1) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 0) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) -1) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (sqrt.f64 (+.f64 x y)) 0) (/.f64 -9 (/.f64 -9 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9) 2)) 0) (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9)) (/.f64 -9 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 2)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 -9 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 1/3 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 0) (/.f64 -1 (/.f64 -3 (.f64 (sqrt.f64 (+.f64 x y)) 3))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) 0) (/.f64 (neg.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3))) (/.f64 -3 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2))) 0) (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) (/.f64 3 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) 0) (/.f64 (cbrt.f64 (.f64 -3 (sqrt.f64 (+.f64 x y)))) (/.f64 -3 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (*.f64 -3 (sqrt.f64 (+.f64 x y))) 0) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) -1) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 -3 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 0) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) 0) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 0) (/.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (/.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 1 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (sqrt.f64 (+.f64 x y)) 0) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) -1) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 1/27 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 -1/27 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 9 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 3 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (sqrt.f64 3) 0) (.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) 1/3) (sqrt.f64 1/3)) (sqrt.f64 3)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (cbrt.f64 9) 0) (.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) 1/3) (cbrt.f64 1/3)) (cbrt.f64 9)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (cbrt.f64 81) 0) (.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) 1/3) (cbrt.f64 3)) (cbrt.f64 81)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3) -1/3)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) -3)) (sqrt.f64 (+.f64 x y)))
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 x y))))
(-.f64 (/.f64 0 9) (neg.f64 (sqrt.f64 (+.f64 x y))))
(-.f64 (/.f64 0 -3) (neg.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (cbrt.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) (sqrt.f64 27))) (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) (sqrt.f64 1/3)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 -1/9)) (/.f64 1 (cbrt.f64 9)))
(.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) (cbrt.f64 -1/9)) (/.f64 1 (cbrt.f64 81)))
(.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9) 1/3) (/.f64 1/3 -9))
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(.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9) 2)) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9)))
(.f64 (.f64 -9 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 -9 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 -9 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 -9 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2)))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) -3)
(.f64 1 (.f64 (sqrt.f64 (+.f64 x y)) -9))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9) 1)
(.f64 -3 (.f64 (sqrt.f64 (+.f64 x y)) 3))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (.f64 -9 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 -9 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 (*.f64 -9 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 (*.f64 -9 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 3) 1/3)
(.f64 (.f64 (*.f64 -9 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 (*.f64 -9 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) 1) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)) (neg.f64 (sqrt.f64 27)))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 27 -3))) (cbrt.f64 9))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (*.f64 -9 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (*.f64 -9 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 1/3 (.f64 3 (*.f64 (sqrt.f64 (+.f64 x y)) -9)))
(.f64 (cbrt.f64 3) (.f64 (cbrt.f64 -3) (*.f64 (cbrt.f64 81) (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (cbrt.f64 -9)) (.f64 (cbrt.f64 (cbrt.f64 81)) (*.f64 (cbrt.f64 81) (sqrt.f64 (+.f64 x y)))))
(.f64 (sqrt.f64 3) (.f64 (neg.f64 (sqrt.f64 27)) (sqrt.f64 (+.f64 x y))))
(.f64 (cbrt.f64 (.f64 27 -3)) (*.f64 (cbrt.f64 9) (sqrt.f64 (+.f64 x y))))
(.f64 (cbrt.f64 3) (.f64 (cbrt.f64 (*.f64 9 -27)) (sqrt.f64 (+.f64 x y))))
(.f64 -1 (.f64 9 (sqrt.f64 (+.f64 x y))))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9)))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 2)))
(.f64 (neg.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 2))))
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) 9)
(.f64 (neg.f64 (cbrt.f64 (.f64 9 (sqrt.f64 (+.f64 x y))))) (pow.f64 (cbrt.f64 (*.f64 9 (sqrt.f64 (+.f64 x y)))) 2))
(*.f64 9 (neg.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9)) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 2)))))
(.f64 (cbrt.f64 (.f64 9 (sqrt.f64 (+.f64 x y)))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 9 (sqrt.f64 (+.f64 x y)))) 2)))
(*.f64 -9 (sqrt.f64 (+.f64 x y)))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -9)) (cbrt.f64 81))
(.f64 3 (.f64 -3 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 -3 (sqrt.f64 (+.f64 x y))) 3)
(.f64 (cbrt.f64 81) (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -9)))
(.f64 (.f64 (*.f64 -9 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2)) 2))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 3)) (cbrt.f64 (*.f64 9 -27)))
(.f64 (cbrt.f64 -9) (.f64 (cbrt.f64 81) (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 (cbrt.f64 81) (sqrt.f64 (+.f64 x y))) (cbrt.f64 -9))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 1)
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9) -9) -9)
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9) -3) -3)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) -1/3)
(/.f64 (.f64 -9 (.f64 (sqrt.f64 (+.f64 x y)) -9)) -9)
(/.f64 (*.f64 -3 (sqrt.f64 (+.f64 x y))) 1/3)
(/.f64 (.f64 -9 (.f64 -3 (sqrt.f64 (+.f64 x y)))) -3)
(/.f64 (.f64 (/.f64 (.f64 9 (sqrt.f64 (+.f64 x y))) (sqrt.f64 3)) -3) (sqrt.f64 3))
(/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9) (cbrt.f64 -3)) -3) (cbrt.f64 9))
(/.f64 (.f64 (/.f64 (.f64 9 (sqrt.f64 (+.f64 x y))) (cbrt.f64 3)) -3) (cbrt.f64 9))
(/.f64 (*.f64 9 (sqrt.f64 (+.f64 x y))) -1)
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) -9) 3)
(/.f64 (.f64 (.f64 9 (sqrt.f64 (+.f64 x y))) -3) 3)
(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 1/3) 3)
(/.f64 (sqrt.f64 (+.f64 x y)) -1/9)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9)) 3)
(neg.f64 (*.f64 9 (sqrt.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 3))

Outputs
(sqrt.f64 y)
(+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(fma.f64 1/2 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (sqrt.f64 y)))
(fma.f64 1/2 (/.f64 x (sqrt.f64 y)) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (.f64 x x)) (sqrt.f64 y)) (sqrt.f64 y)))
(+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 y))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 3)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (sqrt.f64 y))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 y)) (fma.f64 1/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 3)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2))) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (.f64 x x)) (sqrt.f64 y)) (sqrt.f64 y))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 1/2 (/.f64 y (sqrt.f64 x))))
(+.f64 (sqrt.f64 x) (/.f64 (*.f64 1/2 y) (sqrt.f64 x)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (/.f64 y (sqrt.f64 x)))))
(fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (.f64 y y)) (sqrt.f64 x)) (+.f64 (sqrt.f64 x) (/.f64 (*.f64 1/2 y) (sqrt.f64 x))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (+.f64 (.f64 1/2 (/.f64 y (sqrt.f64 x))) (.f64 1/4 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2)) (.f64 (pow.f64 (sqrt.f64 x) 2) (sqrt.f64 x)))))))
(fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (.f64 y y)) (sqrt.f64 x)) (+.f64 (sqrt.f64 x) (fma.f64 1/2 (/.f64 y (sqrt.f64 x)) (/.f64 (.f64 1/4 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2))) (*.f64 (pow.f64 (sqrt.f64 x) 2) (sqrt.f64 x))))))
(*.f64 3 (sqrt.f64 y))
(+.f64 (.f64 3 (sqrt.f64 y)) (.f64 3/2 (/.f64 x (sqrt.f64 y))))
(fma.f64 3 (sqrt.f64 y) (/.f64 (*.f64 3/2 x) (sqrt.f64 y)))
(+.f64 (.f64 3 (sqrt.f64 y)) (+.f64 (.f64 -3/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (.f64 3/2 (/.f64 x (sqrt.f64 y)))))
(fma.f64 3 (sqrt.f64 y) (fma.f64 -3/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (.f64 x x)) (sqrt.f64 y)) (/.f64 (*.f64 3/2 x) (sqrt.f64 y))))
(+.f64 (.f64 3 (sqrt.f64 y)) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 3)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2)))) (+.f64 (.f64 -3/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (*.f64 3/2 (/.f64 x (sqrt.f64 y))))))
(fma.f64 3 (sqrt.f64 y) (fma.f64 3/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 3)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2))) (fma.f64 -3/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (.f64 x x)) (sqrt.f64 y)) (/.f64 (*.f64 3/2 x) (sqrt.f64 y)))))
(*.f64 3 (sqrt.f64 x))
(+.f64 (.f64 3/2 (/.f64 y (sqrt.f64 x))) (.f64 3 (sqrt.f64 x)))
(fma.f64 3/2 (/.f64 y (sqrt.f64 x)) (*.f64 3 (sqrt.f64 x)))
(+.f64 (.f64 3/2 (/.f64 y (sqrt.f64 x))) (+.f64 (.f64 3 (sqrt.f64 x)) (.f64 -3/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x)))))
(fma.f64 3/2 (/.f64 y (sqrt.f64 x)) (fma.f64 3 (sqrt.f64 x) (/.f64 (.f64 -3/2 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (*.f64 y y))) (sqrt.f64 x))))
(+.f64 (.f64 3/2 (/.f64 y (sqrt.f64 x))) (+.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2)) (.f64 (pow.f64 (sqrt.f64 x) 2) (sqrt.f64 x)))) (.f64 -3/2 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))))))
(fma.f64 3/2 (/.f64 y (sqrt.f64 x)) (fma.f64 3 (sqrt.f64 x) (fma.f64 3/4 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2)) (.f64 (pow.f64 (sqrt.f64 x) 2) (sqrt.f64 x))) (/.f64 (.f64 -3/2 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (*.f64 y y))) (sqrt.f64 x)))))
(*.f64 -9 (sqrt.f64 y))
(+.f64 (.f64 -9/2 (/.f64 x (sqrt.f64 y))) (.f64 -9 (sqrt.f64 y)))
(fma.f64 -9/2 (/.f64 x (sqrt.f64 y)) (*.f64 -9 (sqrt.f64 y)))
(+.f64 (.f64 -9/2 (/.f64 x (sqrt.f64 y))) (+.f64 (.f64 9/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (.f64 -9 (sqrt.f64 y))))
(fma.f64 -9/2 (/.f64 x (sqrt.f64 y)) (fma.f64 9/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (.f64 x x)) (sqrt.f64 y)) (*.f64 -9 (sqrt.f64 y))))
(+.f64 (.f64 -9/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 3)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2)))) (+.f64 (.f64 -9/2 (/.f64 x (sqrt.f64 y))) (+.f64 (.f64 9/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 2)) (sqrt.f64 y))) (*.f64 -9 (sqrt.f64 y)))))
(fma.f64 -9/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (pow.f64 x 3)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 y) 2))) (fma.f64 -9/2 (/.f64 x (sqrt.f64 y)) (fma.f64 9/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 2) (.f64 x x)) (sqrt.f64 y)) (*.f64 -9 (sqrt.f64 y)))))
(*.f64 -9 (sqrt.f64 x))
(+.f64 (.f64 -9 (sqrt.f64 x)) (.f64 -9/2 (/.f64 y (sqrt.f64 x))))
(fma.f64 -9 (sqrt.f64 x) (/.f64 (*.f64 -9/2 y) (sqrt.f64 x)))
(+.f64 (.f64 9/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (.f64 -9 (sqrt.f64 x)) (.f64 -9/2 (/.f64 y (sqrt.f64 x)))))
(fma.f64 9/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (.f64 y y)) (sqrt.f64 x)) (fma.f64 -9 (sqrt.f64 x) (/.f64 (*.f64 -9/2 y) (sqrt.f64 x))))
(+.f64 (.f64 -9/4 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2)) (.f64 (pow.f64 (sqrt.f64 x) 2) (sqrt.f64 x)))) (+.f64 (.f64 9/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (.f64 -9 (sqrt.f64 x)) (*.f64 -9/2 (/.f64 y (sqrt.f64 x))))))
(fma.f64 -9/4 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2)) (.f64 (pow.f64 (sqrt.f64 x) 2) (sqrt.f64 x))) (fma.f64 9/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 x)) 2) (.f64 y y)) (sqrt.f64 x)) (fma.f64 -9 (sqrt.f64 x) (/.f64 (*.f64 -9/2 y) (sqrt.f64 x)))))
(if (!=.f64 -1/3 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) 0) (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) (/.f64 3 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 0) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) -1) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 0) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) -1) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (sqrt.f64 (+.f64 x y)) 0) (/.f64 -9 (/.f64 -9 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9) 2)) 0) (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9)) (/.f64 -9 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 2)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 -9 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 1/3 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 0) (/.f64 -1 (/.f64 -3 (.f64 (sqrt.f64 (+.f64 x y)) 3))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) 0) (/.f64 (neg.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3))) (/.f64 -3 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) 0) (neg.f64 (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) (/.f64 -3 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2))))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2))) 0) (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3)) (/.f64 3 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) 2)) 0) (/.f64 (cbrt.f64 (.f64 -3 (sqrt.f64 (+.f64 x y)))) (/.f64 -3 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 2)))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (*.f64 -3 (sqrt.f64 (+.f64 x y))) 0) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) -1) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 -3 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 0) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) 0) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 0) (/.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (/.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 1 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 (sqrt.f64 (+.f64 x y)) 0) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) -1) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 1/27 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 -1/27 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(if (!=.f64 9 0) (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
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(/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) (cbrt.f64 3)) 1) (*.f64 (cbrt.f64 9) 1/3))
(/.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) (cbrt.f64 3)) (.f64 (cbrt.f64 9) 1/3))
(/.f64 (.f64 (.f64 (*.f64 9 (sqrt.f64 (+.f64 x y))) -3) 1) -9)
(/.f64 (*.f64 9 (sqrt.f64 (+.f64 x y))) (/.f64 -9 -3))
(/.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 1/3)) 1) (.f64 (sqrt.f64 3) 1/3))
(/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 1/3)) (*.f64 (sqrt.f64 3) 1/3))
(/.f64 (.f64 (sqrt.f64 (+.f64 x y)) 1/3) (.f64 1/3 1/3))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 1/3) 1/9)
(/.f64 (.f64 -9 (.f64 9 (sqrt.f64 (+.f64 x y)))) -27)
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9) -1/3)
(/.f64 (.f64 -9 (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9) (cbrt.f64 -3))) (*.f64 -9 (cbrt.f64 9)))
(/.f64 (/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9) -9) (cbrt.f64 -3)) (cbrt.f64 9)) -9)
(/.f64 (.f64 -3 (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9) (cbrt.f64 -3))) (cbrt.f64 (*.f64 9 -27)))
(/.f64 (/.f64 (.f64 -3 (.f64 (sqrt.f64 (+.f64 x y)) -9)) (cbrt.f64 -3)) (cbrt.f64 -243))
(/.f64 (.f64 -9 (/.f64 (.f64 9 (sqrt.f64 (+.f64 x y))) (sqrt.f64 3))) (*.f64 -9 (sqrt.f64 3)))
(.f64 (/.f64 (.f64 9 (sqrt.f64 (+.f64 x y))) 3) (/.f64 -9 -9))
(/.f64 (.f64 -3 (/.f64 (.f64 9 (sqrt.f64 (+.f64 x y))) (sqrt.f64 3))) (neg.f64 (sqrt.f64 27)))
(/.f64 (.f64 -9 (.f64 (sqrt.f64 (+.f64 x y)) -9)) 27)
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9) -9) 27)
(/.f64 (*.f64 -3 (neg.f64 (sqrt.f64 (+.f64 x y)))) 1)
(*.f64 (neg.f64 -3) (sqrt.f64 (+.f64 x y)))
(/.f64 (.f64 -9 (/.f64 (.f64 9 (sqrt.f64 (+.f64 x y))) (cbrt.f64 3))) (*.f64 -9 (cbrt.f64 9)))
(/.f64 (/.f64 (/.f64 (*.f64 -81 (sqrt.f64 (+.f64 x y))) (cbrt.f64 3)) (cbrt.f64 9)) -9)
(/.f64 (.f64 -3 (/.f64 (.f64 9 (sqrt.f64 (+.f64 x y))) (cbrt.f64 3))) (cbrt.f64 (*.f64 9 -27)))
(/.f64 (/.f64 (*.f64 9 (sqrt.f64 (+.f64 x y))) (cbrt.f64 3)) (/.f64 (cbrt.f64 -243) -3))
(/.f64 (neg.f64 (/.f64 (*.f64 9 (sqrt.f64 (+.f64 x y))) (sqrt.f64 3))) (neg.f64 (sqrt.f64 3)))
(/.f64 (*.f64 9 (sqrt.f64 (+.f64 x y))) 3)
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) (cbrt.f64 -3))) (neg.f64 (cbrt.f64 9)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) (cbrt.f64 9)) (cbrt.f64 -3))
(/.f64 (neg.f64 (/.f64 (*.f64 9 (sqrt.f64 (+.f64 x y))) (cbrt.f64 3))) (neg.f64 (cbrt.f64 9)))
(/.f64 (/.f64 (*.f64 9 (sqrt.f64 (+.f64 x y))) (cbrt.f64 3)) (cbrt.f64 9))
(/.f64 (*.f64 9 (sqrt.f64 (+.f64 x y))) 3)
(/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -1/9)) (cbrt.f64 (/.f64 9 -27)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -1/9)) (cbrt.f64 -1/3))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 3) 1/3)
(*.f64 (sqrt.f64 (+.f64 x y)) 3)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 1)
(*.f64 (sqrt.f64 (+.f64 x y)) 3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3)) 3)
(*.f64 (sqrt.f64 (+.f64 x y)) 3)
(neg.f64 (*.f64 -3 (sqrt.f64 (+.f64 x y))))
(*.f64 (neg.f64 -3) (sqrt.f64 (+.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) 3))
(*.f64 (sqrt.f64 (+.f64 x y)) 3)
(if (!=.f64 -9 0) (.f64 (sqrt.f64 (+.f64 x y)) -9) (.f64 (sqrt.f64 (+.f64 x y)) -9))
(if (!=.f64 -3 0) (.f64 (sqrt.f64 (+.f64 x y)) -9) (.f64 (sqrt.f64 (+.f64 x y)) -9))
(if (!=.f64 1 0) (.f64 (sqrt.f64 (+.f64 x y)) -9) (.f64 (sqrt.f64 (+.f64 x y)) -9))
(if (!=.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9) 3) -1/3)) (*.f64 (sqrt.f64 (+.f64 x y)) -9))
(if (!=.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9)) -3)) (*.f64 (sqrt.f64 (+.f64 x y)) -9))
(-.f64 0 (*.f64 9 (sqrt.f64 (+.f64 x y))))
(*.f64 (neg.f64 9) (sqrt.f64 (+.f64 x y)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 2)))
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9) 2)) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9)))
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(.f64 (.f64 -9 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(.f64 (.f64 -9 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2))
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 -9 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 -9 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2)))
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) -3)
(.f64 1 (.f64 (sqrt.f64 (+.f64 x y)) -9))
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9) 1)
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(.f64 -3 (.f64 (sqrt.f64 (+.f64 x y)) 3))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) -3)
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2) (.f64 -9 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(.f64 (.f64 -9 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(.f64 (.f64 (*.f64 -9 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 -9 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(.f64 (.f64 (*.f64 -9 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 3) 1/3)
(.f64 (.f64 1/3 3) (*.f64 (sqrt.f64 (+.f64 x y)) -9))
(.f64 (.f64 (*.f64 -9 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(.f64 (.f64 (*.f64 -9 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) 1) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2))
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 3)) (neg.f64 (sqrt.f64 27)))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 27 -3))) (cbrt.f64 9))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (cbrt.f64 -81) (cbrt.f64 9)))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (*.f64 -9 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (*.f64 -9 (sqrt.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(.f64 1/3 (.f64 3 (*.f64 (sqrt.f64 (+.f64 x y)) -9)))
(.f64 (.f64 1/3 3) (*.f64 (sqrt.f64 (+.f64 x y)) -9))
(.f64 (cbrt.f64 3) (.f64 (cbrt.f64 -3) (*.f64 (cbrt.f64 81) (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 3) (.f64 (cbrt.f64 (*.f64 -3 81)) (sqrt.f64 (+.f64 x y))))
(.f64 (cbrt.f64 (cbrt.f64 -9)) (.f64 (cbrt.f64 (cbrt.f64 81)) (*.f64 (cbrt.f64 81) (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (cbrt.f64 -9)) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 81)) (cbrt.f64 81)) (sqrt.f64 (+.f64 x y))))
(.f64 (sqrt.f64 3) (.f64 (neg.f64 (sqrt.f64 27)) (sqrt.f64 (+.f64 x y))))
(.f64 (sqrt.f64 3) (neg.f64 (.f64 (sqrt.f64 27) (sqrt.f64 (+.f64 x y)))))
(.f64 (cbrt.f64 (.f64 27 -3)) (*.f64 (cbrt.f64 9) (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 (cbrt.f64 -81) (cbrt.f64 9)) (sqrt.f64 (+.f64 x y)))
(.f64 (cbrt.f64 3) (.f64 (cbrt.f64 (*.f64 9 -27)) (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 -243)) (sqrt.f64 (+.f64 x y)))
(.f64 -1 (.f64 9 (sqrt.f64 (+.f64 x y))))
(*.f64 (neg.f64 9) (sqrt.f64 (+.f64 x y)))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9)))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 2)))
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(.f64 (neg.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 2))))
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) 9)
(*.f64 (neg.f64 9) (sqrt.f64 (+.f64 x y)))
(.f64 (neg.f64 (cbrt.f64 (.f64 9 (sqrt.f64 (+.f64 x y))))) (pow.f64 (cbrt.f64 (*.f64 9 (sqrt.f64 (+.f64 x y)))) 2))
(*.f64 9 (neg.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (neg.f64 9) (sqrt.f64 (+.f64 x y)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9)) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 2)))))
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(.f64 (cbrt.f64 (.f64 9 (sqrt.f64 (+.f64 x y)))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 9 (sqrt.f64 (+.f64 x y)))) 2)))
(.f64 (neg.f64 (cbrt.f64 (.f64 9 (sqrt.f64 (+.f64 x y))))) (pow.f64 (cbrt.f64 (*.f64 9 (sqrt.f64 (+.f64 x y)))) 2))
(*.f64 -9 (sqrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -9)) (cbrt.f64 81))
(.f64 (.f64 (cbrt.f64 -9) (cbrt.f64 81)) (sqrt.f64 (+.f64 x y)))
(.f64 3 (.f64 -3 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) -3)
(.f64 (.f64 -3 (sqrt.f64 (+.f64 x y))) 3)
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) -3)
(.f64 (cbrt.f64 81) (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 -9)))
(.f64 (.f64 (cbrt.f64 -9) (cbrt.f64 81)) (sqrt.f64 (+.f64 x y)))
(.f64 (.f64 (*.f64 -9 (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 2)) 2))
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 3)) (cbrt.f64 (*.f64 9 -27)))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (cbrt.f64 3) (cbrt.f64 -243)))
(.f64 (cbrt.f64 -9) (.f64 (cbrt.f64 81) (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 (cbrt.f64 -9) (cbrt.f64 81)) (sqrt.f64 (+.f64 x y)))
(.f64 (.f64 (cbrt.f64 81) (sqrt.f64 (+.f64 x y))) (cbrt.f64 -9))
(.f64 (.f64 (cbrt.f64 -9) (cbrt.f64 81)) (sqrt.f64 (+.f64 x y)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 1)
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9) -9) -9)
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9) -3) -3)
(/.f64 (.f64 -3 (.f64 (sqrt.f64 (+.f64 x y)) -9)) -3)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) 3) -1/3)
(/.f64 (.f64 -9 (.f64 (sqrt.f64 (+.f64 x y)) -9)) -9)
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9) -9) -9)
(/.f64 (*.f64 -3 (sqrt.f64 (+.f64 x y))) 1/3)
(/.f64 (.f64 -9 (.f64 -3 (sqrt.f64 (+.f64 x y)))) -3)
(/.f64 (.f64 -3 (.f64 (sqrt.f64 (+.f64 x y)) -9)) -3)
(/.f64 (.f64 (/.f64 (.f64 9 (sqrt.f64 (+.f64 x y))) (sqrt.f64 3)) -3) (sqrt.f64 3))
(/.f64 (/.f64 (*.f64 9 (sqrt.f64 (+.f64 x y))) (sqrt.f64 3)) (/.f64 (sqrt.f64 3) -3))
(/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) -9) (cbrt.f64 -3)) -3) (cbrt.f64 9))
(/.f64 (/.f64 (.f64 -3 (.f64 (sqrt.f64 (+.f64 x y)) -9)) (cbrt.f64 -3)) (cbrt.f64 9))
(/.f64 (.f64 (/.f64 (.f64 9 (sqrt.f64 (+.f64 x y))) (cbrt.f64 3)) -3) (cbrt.f64 9))
(/.f64 (/.f64 (*.f64 9 (sqrt.f64 (+.f64 x y))) (cbrt.f64 3)) (/.f64 (cbrt.f64 9) -3))
(/.f64 (*.f64 9 (sqrt.f64 (+.f64 x y))) -1)
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x y)) 3) -9) 3)
(/.f64 (.f64 (.f64 9 (sqrt.f64 (+.f64 x y))) -3) 3)
(/.f64 (*.f64 9 (sqrt.f64 (+.f64 x y))) (/.f64 3 -3))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 1/3) 3)
(/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) -1/27) 3)
(/.f64 (sqrt.f64 (+.f64 x y)) -1/9)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 3) 1/3)
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 1)
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9)) 3)
(*.f64 (sqrt.f64 (+.f64 x y)) -9)
(neg.f64 (*.f64 9 (sqrt.f64 (+.f64 x y))))
(*.f64 (neg.f64 9) (sqrt.f64 (+.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) 3))
(*.f64 (sqrt.f64 (+.f64 x y)) -9)

eval751.0ms (6%)

Compiler: Compiled 23122 to 13803 computations (40.3% saved)

prune399.0ms (3.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	1401	0	1401
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	1401	7	1408

Error

Counts

1408 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(if (!=.f64 (+.f64 x y) 0) (/.f64 1 (pow.f64 (+.f64 x y) -1/2)) (sqrt.f64 (+.f64 x y)))
✓	0.3b	(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) -3) 3)
✓	0.3b	(/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1/3) 3)
✓	0.2b	(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -1/3) -1/3)
✓	0.0b	(sqrt.f64 (+.f64 x y))
✓	31.8b	(sqrt.f64 y)
✓	31.7b	(sqrt.f64 x)

Compiler

Compiled 65 to 47 computations (27.7% saved)

regimes26.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
(sqrt.f64 x)
(sqrt.f64 y)
(sqrt.f64 (+.f64 x y))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -1/3) -1/3)
(/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1/3) 3)
(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -9) -3) 3)
(if (!=.f64 (+.f64 x y) 0) (/.f64 1 (pow.f64 (+.f64 x y) -1/2)) (sqrt.f64 (+.f64 x y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2) (pow.f64 (sqrt.f64 (+.f64 x y)) 1/4))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y)))))

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

Calls

4 calls:

6.0ms	(+.f64 x y)
6.0ms	(sqrt.f64 (+.f64 x y))
5.0ms	y
5.0ms	x

Results

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

Compiler

Compiled 105 to 51 computations (51.4% saved)

regimes25.0ms (0.2%)

Accuracy

Total -53.7b remaining (-637.4%)

Threshold costs -53.7b (-637.4%)

Counts

2 → 4

Calls

Call 1

Inputs
(sqrt.f64 x)
(sqrt.f64 y)

Outputs
(sqrt.f64 y)
(sqrt.f64 x)
(sqrt.f64 y)
(sqrt.f64 x)

Calls

2 calls:

14.0ms	y
11.0ms	x

Results

Error	Segments	Branch
8.4b	4	`x`
8.7b	4	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch43.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
13.0ms	1.8468089925828194e-57	6.704626781057327e-53
16.0ms	1.4780618251763923e-112	6.136125615964185e-102
13.0ms	1.702720105022573e-142	9.740055097155298e-138

Results

35.0ms	416×	body	256	valid
3.0ms	49×	body	256	invalid

Compiler

Compiled 271 to 216 computations (20.3% saved)

simplify1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 32 to 20 computations (37.5% saved)

soundness0.0ms (0%)

end22.0ms (0.2%)

Compiler: Compiled 28 to 15 computations (46.4% saved)

Details

analyze54.0ms (0.4%)

sample688.0ms (5.5%)

preprocess123.0ms (1%)

simplify87.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0%)

series34.0ms (0.3%)

rewrite163.0ms (1.3%)

simplify251.0ms (2%)

eval30.0ms (0.2%)

prune24.0ms (0.2%)

localize33.0ms (0.3%)

series208.0ms (1.7%)

rewrite125.0ms (1%)

simplify742.0ms (5.9%)

localize5.0ms (0%)

localize14.0ms (0.1%)

localize24.0ms (0.2%)

series1.0s (8.1%)

rewrite140.0ms (1.1%)

simplify378.0ms (3%)

localize30.0ms (0.2%)

series562.0ms (4.5%)

rewrite125.0ms (1%)

simplify550.0ms (4.4%)

eval566.0ms (4.5%)

prune126.0ms (1%)

localize20.0ms (0.2%)

series355.0ms (2.9%)

rewrite95.0ms (0.8%)

simplify160.0ms (1.3%)

localize15.0ms (0.1%)

series74.0ms (0.6%)

rewrite174.0ms (1.4%)

simplify886.0ms (7.1%)

eval284.0ms (2.3%)

prune155.0ms (1.2%)

localize31.0ms (0.3%)

series130.0ms (1%)

rewrite163.0ms (1.3%)

simplify720.0ms (5.8%)

localize21.0ms (0.2%)

series117.0ms (0.9%)

rewrite187.0ms (1.5%)

simplify1.5s (12.2%)

eval751.0ms (6%)

prune399.0ms (3.2%)

regimes26.0ms (0.2%)

regimes25.0ms (0.2%)

bsearch43.0ms (0.3%)

simplify1.0ms (0%)

soundness0.0ms (0%)

end22.0ms (0.2%)

Profiling