Details

analyze48.0ms (1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	8
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	9
82%	82%	18%	0.1%	0%	0%	0%	10
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	11
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample689.0ms (14.6%)

Results

677.0ms

8256×

body

256

valid

Bogosity

preprocess118.0ms (2.5%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify93.0ms (2%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(sqrt.f64 (fabs.f64 (-.f64 y x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series4.0ms (0.1%)

Counts

1 → 8

Calls

6 calls:

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

Compiler

Compiled 315 to 235 computations (25.4% saved)

rewrite105.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

46× egg-rr

Counts

1 → 46

Calls

Call 1

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

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

Outputs

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

simplify116.0ms (2.5%)

Algorithm

1×

egglog

Counts

54 → 63

Calls

Call 1

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

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

eval13.0ms (0.3%)

Compiler: Compiled 1052 to 326 computations (69% saved)

prune9.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	59	4	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	5	64

Error

Counts

64 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(if (!=.f64 (fabs.f64 (-.f64 x y)) 0) (/.f64 1 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2)) (sqrt.f64 (fabs.f64 (-.f64 x y))))
▶	0.9b	(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))) 4)
▶	0.5b	(pow.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) 2)
▶	1.3b	(pow.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) 3)
✓	0.0b	(sqrt.f64 (fabs.f64 (-.f64 y x)))

Compiler

Compiled 60 to 42 computations (30% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
✓	0.6b	(cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
✓	0.7b	(pow.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) 3)

Compiler

Compiled 31 to 9 computations (71% saved)

series45.0ms (0.9%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) 3)
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) 3)
3.0ms	x	@	0	(pow.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) 3)
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) 3)

Compiler

Compiled 3495 to 1990 computations (43.1% saved)

rewrite76.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

32×	`egg-rr`
32×	`egg-rr`
19×	`egg-rr`

Counts

3 → 83

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) 3)
(cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))

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

Outputs

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

simplify867.0ms (18.4%)

Algorithm

1×

egglog

Counts

139 → 59

Calls

Call 1

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

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

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
✓	0.1b	(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
✓	0.5b	(pow.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) 2)

Compiler

Compiled 31 to 9 computations (71% saved)

series21.0ms (0.5%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(pow.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) 2)
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) 2)
1.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) 2)
1.0ms	y	@	inf	(pow.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) 2)

Compiler

Compiled 775 to 615 computations (20.6% saved)

rewrite98.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

70×	`egg-rr`
59×	`egg-rr`

Counts

2 → 129

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) 2)
(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))

Outputs
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Outputs

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

simplify554.0ms (11.7%)

Algorithm

1×

egglog

Counts

145 → 145

Calls

Call 1

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

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

localize50.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
✓	0.1b	(sqrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))
	0.1b	(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
✓	0.9b	(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))) 4)

Compiler

Compiled 39 to 10 computations (74.4% saved)

series39.0ms (0.8%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))) 4)
2.0ms	y	@	inf	(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))) 4)
2.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))) 4)
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))) 4)
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))) 4)

Compiler

Compiled 1815 to 1120 computations (38.3% saved)

rewrite92.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

43×	`egg-rr`
28×	`egg-rr`

Counts

2 → 71

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))) 4)
(sqrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))

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

Outputs

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

simplify211.0ms (4.5%)

Algorithm

1×

egglog

Counts

103 → 80

Calls

Call 1

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

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

localize39.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (fabs.f64 (-.f64 x y)) -1/2)
	0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
✓	0.2b	(/.f64 1 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2))

Compiler

Compiled 59 to 23 computations (61% saved)

series220.0ms (4.7%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
55.0ms	y	@	inf	(/.f64 1 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2))
50.0ms	x	@	0	(/.f64 1 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2))
47.0ms	x	@	inf	(/.f64 1 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2))
26.0ms	x	@	-inf	(/.f64 1 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2))
24.0ms	y	@	-inf	(/.f64 1 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2))

Compiler

Compiled 775 to 615 computations (20.6% saved)

rewrite75.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

51×	`egg-rr`
29×	`egg-rr`

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

simplify183.0ms (3.9%)

Algorithm

1×

egglog

Counts

88 → 89

Calls

Call 1

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

Outputs
(/.f64 1 (pow.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) -1/2))
(pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1)
(/.f64 1 (pow.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) -1/2))
(pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1)
(/.f64 1 (pow.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) -1/2))
(pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1)
(/.f64 1 (pow.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) -1/2))
(pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1)
(/.f64 1 (pow.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) -1/2))
(pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1)
(/.f64 1 (pow.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) -1/2))
(pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1)
(/.f64 1 (pow.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) -1/2))
(pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1)
(/.f64 1 (pow.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) -1/2))
(pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1)
(if (!=.f64 (fabs.f64 (-.f64 x y)) 0) (sqrt.f64 (fabs.f64 (-.f64 x y))) (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1))
(if (!=.f64 1 0) (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1) (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1))
(if (!=.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) 0) (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1) (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1)) 0) (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1)))) (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1)) 0) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) 2) (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1)))) (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1))
(if (!=.f64 -1 0) (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1) (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1))
(if (!=.f64 (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1) 0) (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1) -1)) (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1))
(if (!=.f64 (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1) 0) (pow.f64 (/.f64 1 (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1)) -1) (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1))
(if (!=.f64 (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) 3) 0) (pow.f64 (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) 3) (neg.f64 1/3)) (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1))
(if (!=.f64 (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) 3) 0) (pow.f64 (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) 3) -1/3) (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2) -1))
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eval135.0ms (2.9%)

Compiler: Compiled 8558 to 3485 computations (59.3% saved)

prune62.0ms (1.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	444	1	445
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	445	5	450

Error

Counts

450 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(if (!=.f64 (fabs.f64 (-.f64 x y)) 0) (/.f64 1 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2)) (sqrt.f64 (fabs.f64 (-.f64 x y))))
▶	0.9b	(pow.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 1/4) 4)
✓	0.5b	(pow.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) 2)
✓	1.3b	(pow.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) 3)
✓	0.0b	(sqrt.f64 (fabs.f64 (-.f64 y x)))

Compiler

Compiled 60 to 42 computations (30% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
✓	0.1b	(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 1/4)
✓	0.9b	(pow.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 1/4) 4)

Compiler

Compiled 34 to 13 computations (61.8% saved)

series141.0ms (3%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
56.0ms	y	@	inf	(pow.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 1/4) 4)
16.0ms	x	@	inf	(pow.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 1/4) 4)
13.0ms	y	@	-inf	(pow.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 1/4) 4)
13.0ms	x	@	-inf	(pow.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 1/4) 4)
12.0ms	x	@	0	(pow.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 1/4) 4)

Compiler

Compiled 1815 to 1270 computations (30% saved)

rewrite72.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

25×	`egg-rr`
17×	`egg-rr`

Counts

2 → 42

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 1/4) 4)
(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 1/4)

Outputs

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

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

simplify399.0ms (8.4%)

Algorithm

1×

egglog

Counts

74 → 47

Calls

Call 1

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

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

eval22.0ms (0.5%)

Compiler: Compiled 698 to 232 computations (66.8% saved)

prune13.0ms (0.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	49	5	54

Error

Counts

54 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(if (!=.f64 (fabs.f64 (-.f64 x y)) 0) (/.f64 1 (pow.f64 (fabs.f64 (-.f64 x y)) -1/2)) (sqrt.f64 (fabs.f64 (-.f64 x y))))
✓	0.9b	(pow.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 1/4) 4)
✓	0.5b	(pow.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) 2)
✓	1.3b	(pow.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) 3)
✓	0.0b	(sqrt.f64 (fabs.f64 (-.f64 y x)))

Compiler

Compiled 60 to 42 computations (30% saved)

regimes50.0ms (1.1%)

Accuracy

Total -1.6b remaining (-10249%)

Threshold costs -1.6b (-10249%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
9.0ms	(fabs.f64 (-.f64 x y))
9.0ms	(-.f64 x y)
9.0ms	y
5.0ms	x

Results

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

Compiler

Compiled 90 to 44 computations (51.1% saved)

simplify0.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness0.0ms (0%)

end15.0ms (0.3%)

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

Details

analyze48.0ms (1%)

sample689.0ms (14.6%)

preprocess118.0ms (2.5%)

simplify93.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series4.0ms (0.1%)

rewrite105.0ms (2.2%)

simplify116.0ms (2.5%)

eval13.0ms (0.3%)

prune9.0ms (0.2%)

localize10.0ms (0.2%)

series45.0ms (0.9%)

rewrite76.0ms (1.6%)

simplify867.0ms (18.4%)

localize16.0ms (0.3%)

series21.0ms (0.5%)

rewrite98.0ms (2.1%)

simplify554.0ms (11.7%)

localize50.0ms (1.1%)

series39.0ms (0.8%)

rewrite92.0ms (2%)

simplify211.0ms (4.5%)

localize39.0ms (0.8%)

series220.0ms (4.7%)

rewrite75.0ms (1.6%)

simplify183.0ms (3.9%)

eval135.0ms (2.9%)

prune62.0ms (1.3%)

localize14.0ms (0.3%)

series141.0ms (3%)

rewrite72.0ms (1.5%)

simplify399.0ms (8.4%)

eval22.0ms (0.5%)

prune13.0ms (0.3%)

regimes50.0ms (1.1%)

simplify0.0ms (0%)

soundness0.0ms (0%)

end15.0ms (0.3%)

Profiling