Details

analyze3.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample631.0ms (4.6%)

Results

621.0ms	8256×	body	256	valid
0.0ms	5×	body	256	infinite

Bogosity

preprocess251.0ms (1.8%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(sqrt.f64 (.f64 2 (.f64 x x)))

Outputs
(sqrt.f64 (.f64 2 (.f64 x x)))
(*.f64 (sqrt.f64 2) (fabs.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify76.0ms (0.6%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

Inputs
(sqrt.f64 (.f64 2 (.f64 x x)))

Outputs
(sqrt.f64 (.f64 2 (.f64 x x)))
(*.f64 (sqrt.f64 2) (fabs.f64 x))

eval1.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(*.f64 (sqrt.f64 2) (fabs.f64 x))
▶	30.0b	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (.f64 x x))
✓	28.9b	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series16.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(sqrt.f64 (.f64 2 (.f64 x x)))
1.0ms	x	@	inf	(sqrt.f64 (.f64 2 (.f64 x x)))
0.0ms	x	@	-inf	(sqrt.f64 (.f64 2 (.f64 x x)))
0.0ms	x	@	-inf	(.f64 2 (.f64 x x))
0.0ms	x	@	inf	(.f64 2 (.f64 x x))

Compiler

Compiled 670 to 550 computations (17.9% saved)

rewrite153.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

149×	`egg-rr`
79×	`egg-rr`

Counts

2 → 228

Calls

Call 1

Inputs
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 2 (.f64 x x))

Outputs
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Outputs

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pow.f64 (*.f64 (+.f64 x x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (*.f64 (+.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (+.f64 x x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)) 6))))))

simplify447.0ms (3.2%)

Algorithm

1×

egglog

Counts

252 → 302

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 (/.f64 1 x) -2))
(*.f64 2 (pow.f64 (/.f64 1 x) -2))
(*.f64 2 (pow.f64 (/.f64 1 x) -2))
(*.f64 2 (pow.f64 (/.f64 1 x) -2))
(*.f64 2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 2 (pow.f64 (/.f64 -1 x) -2))
(if (!=.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))))) 0) (/.f64 (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))) (/.f64 1 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))))))) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))) 0) (/.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 3/2)) (/.f64 1 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))))) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x)) (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))) 0) (/.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x))) (/.f64 1 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x)) (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))))) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))) 0) (/.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))))) (/.f64 1 (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))))) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 3/2)) 0) (/.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))) (/.f64 1 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 3/2)))) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) 0) (/.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) (/.f64 1 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))))) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) 0) (/.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (/.f64 1 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))))) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))) 0) (/.f64 (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))) (/.f64 1 (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))))) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 1 0) (.f64 (sqrt.f64 2) (fabs.f64 x)) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 0) (/.f64 1 (/.f64 1 (.f64 (sqrt.f64 2) (fabs.f64 x)))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 2 0) (.f64 (sqrt.f64 2) (fabs.f64 x)) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 -1 0) (.f64 (sqrt.f64 2) (fabs.f64 x)) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 0) (/.f64 1 (pow.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) -1)) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (+.f64 x x) x) 0) (/.f64 1 (pow.f64 (.f64 (+.f64 x x) x) -1/2)) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) -2)) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x))) 0) (/.f64 (cbrt.f64 (.f64 (.f64 (+.f64 x x) x) (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))))) (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x))))) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) 0) (/.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) (/.f64 1 (cbrt.f64 (.f64 (+.f64 x x) x)))) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x)) 0) (/.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x)))) (/.f64 1 (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x)))) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 4 x)) x) 2)) 0) (/.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))) (/.f64 1 (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 4 x)) x) 2)))) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 1/2) (.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (fabs.f64 x))) (.f64 1/2 (.f64 (sqrt.f64 2) (fabs.f64 x))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x))))
(.f64 (cbrt.f64 (.f64 (.f64 (+.f64 x x) x) (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))))) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x x) x))))
(.f64 1 (.f64 (sqrt.f64 2) (fabs.f64 x)))
(.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 1)
(.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))))) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)))))
(.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 3/2)) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x)) (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))) (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x))))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))) (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)) 3/2)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) (cbrt.f64 (*.f64 (+.f64 x x) x)))
(.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x))))
(.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x)))) (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x)))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))))) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x)))) (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 4 x)) x) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))))) (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 4 x)) x) 2))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) -1) -1)
(.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 (.f64 x (sqrt.f64 (sqrt.f64 2)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 x x))) (fabs.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 2))))
(.f64 (fabs.f64 (.f64 x (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 2))
(.f64 (fabs.f64 (.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 x x)))) (fabs.f64 (cbrt.f64 x)))
(.f64 (fabs.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (fabs.f64 (cbrt.f64 (*.f64 (+.f64 x x) x))))
(.f64 (fabs.f64 (cbrt.f64 x)) (fabs.f64 (.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 x x)))))
(.f64 (fabs.f64 (.f64 (sqrt.f64 2) (cbrt.f64 x))) (fabs.f64 (cbrt.f64 (*.f64 x x))))
(.f64 (fabs.f64 (.f64 x (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
(.f64 (cbrt.f64 (sqrt.f64 2)) (fabs.f64 (.f64 x (cbrt.f64 2))))
(.f64 (fabs.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 3/2))) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)))))
(.f64 (fabs.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))))) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)))))
(.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x)))) (fabs.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x)) (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))) (fabs.f64 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)) 3/2))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))) (fabs.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)))))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))) (fabs.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x))))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 (.f64 (+.f64 x x) x) (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))))) (fabs.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x x) x)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) (fabs.f64 (cbrt.f64 (*.f64 (+.f64 x x) x))))
(.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))))) (fabs.f64 (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 4 x)) x) 2))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 (+.f64 x x) x))) (cbrt.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x))))
(.f64 (fabs.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x))))) (fabs.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 2) 2)
(*.f64 (sqrt.f64 2) (fabs.f64 x))
(*.f64 (fabs.f64 x) (sqrt.f64 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))) (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 4 x)) x) 2)))
(/.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)) 1)
(/.f64 (.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) -1) -1)
(/.f64 (.f64 -1 (.f64 (sqrt.f64 2) (fabs.f64 x))) -1)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x))) -1)
(/.f64 (.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 2) 2)
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (fabs.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x))) 2)
(pow.f64 (*.f64 (+.f64 x x) x) 1/2)
(pow.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)))) 4)
(neg.f64 (.f64 -1 (.f64 (sqrt.f64 2) (fabs.f64 x))))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) -1))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)) 3))
(fabs.f64 (*.f64 (sqrt.f64 2) x))
(fabs.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 2 0) (.f64 (+.f64 x x) x) (.f64 (+.f64 x x) x))
(if (!=.f64 1 0) (.f64 (+.f64 x x) x) (.f64 (+.f64 x x) x))
(if (!=.f64 -1 0) (.f64 (+.f64 x x) x) (.f64 (+.f64 x x) x))
(if (!=.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 0) (/.f64 1 (pow.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) -2)) (*.f64 (+.f64 x x) x))
(if (!=.f64 (.f64 (sqrt.f64 2) x) 0) (/.f64 1 (pow.f64 (.f64 (sqrt.f64 2) x) -2)) (*.f64 (+.f64 x x) x))
(if (!=.f64 (.f64 (+.f64 x x) x) 0) (/.f64 1 (pow.f64 (.f64 (+.f64 x x) x) -1)) (*.f64 (+.f64 x x) x))
(+.f64 (.f64 (.f64 (+.f64 x x) x) 1/2) (.f64 (.f64 (+.f64 x x) x) 1/2))
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 (.f64 1/2 (.f64 (+.f64 x x) x)) (.f64 1/2 (.f64 (+.f64 x x) x)))
(.f64 (.f64 (+.f64 x x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (cbrt.f64 (.f64 8 x)) (.f64 (cbrt.f64 (.f64 x x)) x))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x x)))
(.f64 (cbrt.f64 x) (.f64 (.f64 (cbrt.f64 (.f64 x x)) x) 2))
(.f64 (.f64 (.f64 x (cbrt.f64 2)) (cbrt.f64 (.f64 (cbrt.f64 4) x))) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 4) x)) 2))
(.f64 (.f64 (.f64 x (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 4))) (.f64 (cbrt.f64 (cbrt.f64 16)) x))
(.f64 (.f64 (*.f64 x (cbrt.f64 2)) (cbrt.f64 (pow.f64 (+.f64 x x) 2))) (cbrt.f64 x))
(.f64 (.f64 (cbrt.f64 (.f64 8 (.f64 x x))) x) (cbrt.f64 x))
(.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 4 x)) x) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x)))) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x)))) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x))))
(.f64 (.f64 x (cbrt.f64 (cbrt.f64 x))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (.f64 8 (.f64 x x)))))
(.f64 (cbrt.f64 x) (.f64 x (cbrt.f64 (.f64 8 (.f64 x x)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x))) (.f64 (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 4 x)) x) 2)) (cbrt.f64 (.f64 (+.f64 x x) x)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x)) (.f64 (cbrt.f64 (.f64 4 x)) x))))
(.f64 (.f64 2 (cbrt.f64 (cbrt.f64 x))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x x)) x)))
(.f64 (cbrt.f64 x) (.f64 2 (.f64 (cbrt.f64 (.f64 x x)) x)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 4 x)) x))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x x) 2)) x)))
(.f64 (/.f64 (.f64 (+.f64 x x) x) -1) -1)
(.f64 (.f64 (.f64 x (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (.f64 (*.f64 x (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
(.f64 (.f64 (cbrt.f64 2) (.f64 x (cbrt.f64 (sqrt.f64 2)))) (.f64 (cbrt.f64 2) (*.f64 x (cbrt.f64 (sqrt.f64 2)))))
(.f64 (.f64 -1 (.f64 (sqrt.f64 2) x)) (.f64 -1 (*.f64 (sqrt.f64 2) x)))
(.f64 (.f64 -1 (.f64 (sqrt.f64 2) (fabs.f64 x))) (.f64 -1 (*.f64 (sqrt.f64 2) (fabs.f64 x))))
(.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 (sqrt.f64 2) (cbrt.f64 x))) (.f64 (cbrt.f64 (.f64 x x)) (*.f64 (sqrt.f64 2) (cbrt.f64 x))))
(.f64 (.f64 x (cbrt.f64 (.f64 8 x))) (cbrt.f64 (.f64 x x)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 x x) x) 2) (cbrt.f64 2))) (cbrt.f64 (.f64 (cbrt.f64 4) (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 x x) x) 2) (sqrt.f64 2))) (cbrt.f64 (.f64 (*.f64 x x) (sqrt.f64 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x x) 3) (*.f64 x x))) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (.f64 (.f64 x (cbrt.f64 (.f64 8 x))) (cbrt.f64 x)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) x))
(.f64 (cbrt.f64 (.f64 (.f64 x x) (sqrt.f64 2))) (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 (*.f64 (+.f64 x x) x) 2))))
(.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 3/2) (sqrt.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) (pow.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)) 3/2))
(.f64 (.f64 (+.f64 x x) x) 1)
(.f64 1 (.f64 (+.f64 x x) x))
(.f64 (.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) (cbrt.f64 (.f64 (+.f64 x x) x))) (cbrt.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) (.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) (cbrt.f64 (*.f64 (+.f64 x x) x))))
(.f64 (.f64 (*.f64 x x) (cbrt.f64 2)) (cbrt.f64 4))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 x (cbrt.f64 (.f64 8 x))))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) (*.f64 x x)))
(.f64 (cbrt.f64 (.f64 8 (.f64 x x))) (.f64 x (cbrt.f64 x)))
(.f64 (cbrt.f64 4) (.f64 (*.f64 x x) (cbrt.f64 2)))
(.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (.f64 8 (.f64 x x))))
(.f64 (.f64 (cbrt.f64 4) (*.f64 x x)) (cbrt.f64 2))
(.f64 (.f64 x (cbrt.f64 (+.f64 x x))) (cbrt.f64 (pow.f64 (+.f64 x x) 2)))
(.f64 (.f64 x (cbrt.f64 2)) (*.f64 (cbrt.f64 4) x))
(.f64 (.f64 (cbrt.f64 (.f64 4 x)) x) (cbrt.f64 (.f64 (+.f64 x x) x)))
(.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (.f64 x (cbrt.f64 (.f64 8 x))) (cbrt.f64 x)) (cbrt.f64 x))
(.f64 (.f64 (.f64 (.f64 x x) (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 4))) (cbrt.f64 (cbrt.f64 16)))
(.f64 (.f64 (.f64 x (cbrt.f64 (.f64 8 x))) (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(.f64 (cbrt.f64 (.f64 (.f64 8 (.f64 x x)) (.f64 x (cbrt.f64 x)))) (cbrt.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2)))
(.f64 (cbrt.f64 (+.f64 x x)) (.f64 (cbrt.f64 (pow.f64 (+.f64 x x) 2)) x))
(.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (.f64 (cbrt.f64 (.f64 4 x)) x))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (cbrt.f64 2) (.f64 (.f64 x x) (sqrt.f64 2))))
(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (.f64 (.f64 x x) (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2))))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (cbrt.f64 4) (.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 2)) (.f64 (cbrt.f64 (cbrt.f64 4)) (.f64 (cbrt.f64 4) (.f64 x x))))
(.f64 (cbrt.f64 (+.f64 x x)) (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 4 x)) x)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x)) (.f64 (cbrt.f64 (*.f64 4 x)) x)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (.f64 x (cbrt.f64 (.f64 8 x)))))
(.f64 (.f64 (.f64 x (cbrt.f64 2)) 1) (.f64 (cbrt.f64 4) x))
(.f64 (.f64 (cbrt.f64 4) x) (*.f64 x (cbrt.f64 2)))
(.f64 (.f64 (cbrt.f64 (.f64 8 (.f64 x x))) (.f64 x (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (.f64 x x))))
(.f64 (.f64 (cbrt.f64 (.f64 8 (.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (.f64 (pow.f64 x 3) (cbrt.f64 x))))
(.f64 (.f64 (cbrt.f64 (.f64 8 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2))) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 4 x)) x) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x)))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (.f64 (pow.f64 x 3) (cbrt.f64 x))) (cbrt.f64 (.f64 8 (.f64 x x)))))
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (.f64 (cbrt.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (.f64 8 (.f64 x x)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2)) (.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (cbrt.f64 (.f64 8 (.f64 x x)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (cbrt.f64 2)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x)) (.f64 (cbrt.f64 (.f64 4 x)) x))))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x x))) (.f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x)) (.f64 (cbrt.f64 (*.f64 4 x)) x))))
(.f64 (cbrt.f64 (cbrt.f64 2)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x)) (.f64 (cbrt.f64 (.f64 4 x)) x))))
(.f64 (cbrt.f64 4) (.f64 (cbrt.f64 (+.f64 x x)) (.f64 (cbrt.f64 (.f64 x x)) x)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 8 x))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 8 x))) 2) (.f64 (cbrt.f64 (.f64 x x)) x)))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 4 x)) x))))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x x))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x x))) 2) (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 4 x)) x))))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 4 x)) x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 8 x))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 4 x)) x))))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x x))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x x) 2))) (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 4 x)) x))))
(.f64 (cbrt.f64 (cbrt.f64 2)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 4) x)) (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 4 x)) x))))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (.f64 (cbrt.f64 (pow.f64 (+.f64 x x) 2)) x)))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x x))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x x))) 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x x) 2)) x)))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x x) 2)) x)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 8 x))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x x) 2)) x)))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x x))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x x) 2))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x x) 2)) x)))
(.f64 (cbrt.f64 (cbrt.f64 2)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 4) x)) (.f64 (cbrt.f64 (pow.f64 (+.f64 x x) 2)) x)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))))) (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)))))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) (pow.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x x) x)))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 2) (cbrt.f64 (cbrt.f64 (.f64 x x)))) 3) (.f64 x (cbrt.f64 x)))
(.f64 (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 4 x)) x)) (cbrt.f64 (+.f64 x x)))
(.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 x x) x) 2) (.f64 (*.f64 x x) (sqrt.f64 2)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 x x) x) 2) (.f64 (*.f64 x x) (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 (.f64 8 x)))) (cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 x x) x) 2) (cbrt.f64 (.f64 x x)))))
(.f64 (cbrt.f64 (.f64 (.f64 x x) (cbrt.f64 2))) (cbrt.f64 (.f64 (cbrt.f64 4) (pow.f64 (*.f64 (+.f64 x x) x) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x)) (.f64 (cbrt.f64 (.f64 4 x)) x)) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x x) x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 8 (.f64 x x)))) (cbrt.f64 (.f64 (.f64 x (cbrt.f64 x)) (pow.f64 (.f64 (+.f64 x x) x) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 x x) x) 2) (.f64 x (cbrt.f64 (.f64 8 x))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 x x) x) 2) (.f64 (*.f64 x x) (cbrt.f64 2)))) (cbrt.f64 (cbrt.f64 4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 x x) x) 2) (.f64 (sqrt.f64 2) x))) (cbrt.f64 (*.f64 (sqrt.f64 2) x)))
(.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (.f64 (.f64 (cbrt.f64 4) (.f64 x x)) (pow.f64 (*.f64 (+.f64 x x) x) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 x x) x) 2) (cbrt.f64 (.f64 x x)))) (cbrt.f64 (.f64 x (cbrt.f64 (.f64 8 x)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 x x) x) 2) (cbrt.f64 (.f64 8 (.f64 x x))))) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 x x) x) 2) (.f64 x (cbrt.f64 (.f64 8 x))))) (cbrt.f64 (cbrt.f64 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 x x) x) 2) (*.f64 (sqrt.f64 2) x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x))) 2) (.f64 (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 4 x)) x) 2)) (cbrt.f64 (.f64 (+.f64 x x) x)))))
(*.f64 (+.f64 x x) x)
(*.f64 x (+.f64 x x))
(.f64 (.f64 (*.f64 x x) (sqrt.f64 2)) (sqrt.f64 2))
(.f64 (sqrt.f64 2) (.f64 (*.f64 x x) (sqrt.f64 2)))
(.f64 (.f64 (.f64 (cbrt.f64 (.f64 4 x)) x) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x)))) (cbrt.f64 (.f64 (cbrt.f64 (*.f64 4 x)) x)))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x)) (.f64 (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 4 x)) x) 2)) (cbrt.f64 (*.f64 (+.f64 x x) x))))
(.f64 2 (.f64 x x))
(.f64 (.f64 x x) 2)
(.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 4 x)) x) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x)))) 1) (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x)))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (sqrt.f64 2))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (sqrt.f64 2))) 3) (sqrt.f64 2))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 x)) x)) (.f64 (.f64 (cbrt.f64 (.f64 4 x)) x) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x x) x)))))
(.f64 (cbrt.f64 (.f64 (.f64 (+.f64 x x) x) (.f64 (cbrt.f64 (.f64 4 x)) x))) (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (*.f64 4 x)) x) 2)))
(/.f64 (.f64 (.f64 (+.f64 x x) x) -1) -1)
(/.f64 (.f64 -1 (.f64 (+.f64 x x) x)) -1)
(/.f64 (neg.f64 (*.f64 (+.f64 x x) x)) -1)
(/.f64 (*.f64 (+.f64 x x) x) 1)
(/.f64 (.f64 (.f64 (*.f64 x x) (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 1/2))
(/.f64 (.f64 (cbrt.f64 4) (.f64 x x)) (cbrt.f64 1/2))
(/.f64 (pow.f64 (+.f64 x x) 2) 2)
(/.f64 (.f64 (.f64 x x) (sqrt.f64 2)) (sqrt.f64 1/2))
(/.f64 (*.f64 x x) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x x) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x))) 4)
(pow.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)) 2)
(pow.f64 (*.f64 (sqrt.f64 2) x) 2)
(pow.f64 (*.f64 (+.f64 x x) x) 1)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)) 6) 1/3)
(neg.f64 (.f64 -1 (.f64 (+.f64 x x) x)))
(neg.f64 (.f64 -2 (.f64 x x)))
(neg.f64 (.f64 (.f64 (+.f64 x x) x) -1))
(neg.f64 (.f64 (.f64 x x) -2))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)) 6))

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (sqrt.f64 2) (fabs.f64 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 (sqrt.f64 2) (fabs.f64 x))
1.0ms	x	@	0	(*.f64 (sqrt.f64 2) (fabs.f64 x))
1.0ms	x	@	-inf	(*.f64 (sqrt.f64 2) (fabs.f64 x))

Compiler

Compiled 10 to 10 computations (0% saved)

rewrite209.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

151× egg-rr

Counts

1 → 151

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) (fabs.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 1/2 (/.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (.f64 (sqrt.f64 2) (fabs.f64 x)) (/.f64 (.f64 (sqrt.f64 8) (fabs.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 4))) 0) (/.f64 (cbrt.f64 (.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) (cbrt.f64 (.f64 (.f64 x x) 2)))) (/.f64 1 (cbrt.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 4))))) (.f64 (sqrt.f64 2) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (pow.f64 2 1/12) (.f64 (cbrt.f64 2) (fabs.f64 x))) 0) (/.f64 (pow.f64 2 1/12) (/.f64 1 (.f64 (pow.f64 2 1/12) (.f64 (cbrt.f64 2) (fabs.f64 x))))) (.f64 (sqrt.f64 2) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 0) (/.f64 1 (/.f64 1 (.f64 (sqrt.f64 2) (fabs.f64 x)))) (.f64 (sqrt.f64 2) (fabs.f64 x)))))) (#(struct:change 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Outputs

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

simplify730.0ms (5.3%)

Algorithm

1×

egglog

Counts

151 → 221

Calls

Call 1

Inputs
(fma.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 1/2 (/.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) 4))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (fabs.f64 x)) (/.f64 (.f64 (sqrt.f64 8) (fabs.f64 x)) 4))
(if (!=.f64 (cbrt.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 4))) 0) (/.f64 (cbrt.f64 (.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) (cbrt.f64 (.f64 (.f64 x x) 2)))) (/.f64 1 (cbrt.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 4))))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (pow.f64 2 1/12) (.f64 (cbrt.f64 2) (fabs.f64 x))) 0) (/.f64 (pow.f64 2 1/12) (/.f64 1 (.f64 (pow.f64 2 1/12) (.f64 (cbrt.f64 2) (fabs.f64 x))))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 0) (/.f64 1 (/.f64 1 (.f64 (sqrt.f64 2) (fabs.f64 x)))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 2)) 0) (.f64 (sqrt.f64 2) (fabs.f64 x)) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (pow.f64 2 1/8) (.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))) 0) (/.f64 (pow.f64 2 1/8) (/.f64 1 (.f64 (pow.f64 2 1/8) (.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 0) (/.f64 (.f64 (.f64 (sqrt.f64 2) (fabs.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (.f64 x x)))) (/.f64 1 (cbrt.f64 (.f64 x (cbrt.f64 x))))) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (pow.f64 2 1/8) 0) (/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 1/8)) (/.f64 1 (pow.f64 2 1/8))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (cbrt.f64 2) (fabs.f64 x)) 0) (/.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 (.f64 (cbrt.f64 2) (fabs.f64 x)))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
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(if (!=.f64 (cbrt.f64 (.f64 x x)) 0) (/.f64 (.f64 (sqrt.f64 2) (fabs.f64 (cbrt.f64 x))) (/.f64 1 (cbrt.f64 (.f64 x x)))) (.f64 (sqrt.f64 2) (fabs.f64 x)))
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(if (!=.f64 (/.f64 (.f64 (sqrt.f64 8) (fabs.f64 x)) 4) 0) (/.f64 2 (/.f64 1 (/.f64 (.f64 (sqrt.f64 8) (fabs.f64 x)) 4))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 2)) 0) (/.f64 (fabs.f64 (cbrt.f64 x)) (/.f64 1 (.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (cbrt.f64 (cbrt.f64 2)) (.f64 (cbrt.f64 2) (fabs.f64 x))) 0) (/.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (/.f64 1 (.f64 (cbrt.f64 (cbrt.f64 2)) (.f64 (cbrt.f64 2) (fabs.f64 x))))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (fabs.f64 x) 0) (/.f64 (sqrt.f64 2) (/.f64 1 (fabs.f64 x))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
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(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) (sqrt.f64 (sqrt.f64 1/8))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 8)))
(/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 1/2)))
(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) (sqrt.f64 1/2)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) (pow.f64 2 (neg.f64 5/6))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) (cbrt.f64 (sqrt.f64 1/2))) (pow.f64 2 5/6))
(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) (cbrt.f64 1/4)) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 1/12)) (cbrt.f64 (sqrt.f64 1/2)))
(/.f64 (*.f64 (cbrt.f64 2) (fabs.f64 x)) (cbrt.f64 (sqrt.f64 1/2)))
(/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 8)) 2)
(/.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)) 1)
(neg.f64 (.f64 -1 (.f64 (sqrt.f64 2) (fabs.f64 x))))
(neg.f64 (.f64 -2 (/.f64 (.f64 (sqrt.f64 8) (fabs.f64 x)) 4)))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) -1))
(neg.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) -1/2))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)) 3))

Outputs
(fma.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 1/2 (/.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) 4))
(fma.f64 (sqrt.f64 1/2) (fabs.f64 x) (.f64 (.f64 1/4 (fabs.f64 x)) (sqrt.f64 8)))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (fabs.f64 x)) (/.f64 (.f64 (sqrt.f64 8) (fabs.f64 x)) 4))
(fma.f64 (sqrt.f64 1/2) (fabs.f64 x) (.f64 (.f64 1/4 (fabs.f64 x)) (sqrt.f64 8)))
(if (!=.f64 (cbrt.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 4))) 0) (/.f64 (cbrt.f64 (.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) (cbrt.f64 (.f64 (.f64 x x) 2)))) (/.f64 1 (cbrt.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 4))))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (cbrt.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 4))) 0) (cbrt.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (fabs.f64 x) (cbrt.f64 (.f64 x (+.f64 x x))))) (/.f64 1 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 4))))) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (.f64 (pow.f64 2 1/12) (.f64 (cbrt.f64 2) (fabs.f64 x))) 0) (/.f64 (pow.f64 2 1/12) (/.f64 1 (.f64 (pow.f64 2 1/12) (.f64 (cbrt.f64 2) (fabs.f64 x))))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (pow.f64 2 (+.f64 1/12 1/3)) (fabs.f64 x)) 0) (/.f64 (pow.f64 2 1/12) (/.f64 (/.f64 (cbrt.f64 1/2) (fabs.f64 x)) (pow.f64 2 1/12))) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 0) (/.f64 1 (/.f64 1 (.f64 (sqrt.f64 2) (fabs.f64 x)))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (fabs.f64 x) (sqrt.f64 2)) 0) (pow.f64 (/.f64 (sqrt.f64 1/2) (fabs.f64 x)) -1) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 2)) 0) (.f64 (sqrt.f64 2) (fabs.f64 x)) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 2)) 0) (.f64 (fabs.f64 x) (sqrt.f64 2)) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (.f64 (pow.f64 2 1/8) (.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))) 0) (/.f64 (pow.f64 2 1/8) (/.f64 1 (.f64 (pow.f64 2 1/8) (.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (fabs.f64 x) (pow.f64 2 (.f64 1/8 3))) 0) (/.f64 (pow.f64 2 1/8) (/.f64 (pow.f64 2 -1/8) (.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 0) (/.f64 (.f64 (.f64 (sqrt.f64 2) (fabs.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (.f64 x x)))) (/.f64 1 (cbrt.f64 (.f64 x (cbrt.f64 x))))) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 0) (/.f64 (.f64 (.f64 (sqrt.f64 2) (fabs.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (/.f64 1 (.f64 x (cbrt.f64 x))))) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (pow.f64 2 1/8) 0) (/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 1/8)) (/.f64 1 (pow.f64 2 1/8))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (pow.f64 2 1/8) 0) (.f64 (fabs.f64 x) (sqrt.f64 2)) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (.f64 (cbrt.f64 2) (fabs.f64 x)) 0) (/.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 (.f64 (cbrt.f64 2) (fabs.f64 x)))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (cbrt.f64 2) (fabs.f64 x)) 0) (/.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (cbrt.f64 1/2) (fabs.f64 x))) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))) 0) (/.f64 (cbrt.f64 2) (/.f64 1 (.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))) 0) (/.f64 (cbrt.f64 2) (/.f64 1 (.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))) (*.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (sqrt.f64 2) 0) (/.f64 (fabs.f64 x) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (sqrt.f64 2) 0) (.f64 (fabs.f64 x) (sqrt.f64 2)) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (cbrt.f64 (.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 4)) (.f64 (sqrt.f64 2) (fabs.f64 x)))) 0) (/.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (cbrt.f64 (.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 4)) (.f64 (sqrt.f64 2) (fabs.f64 x)))))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (cbrt.f64 (.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 4)) (.f64 (fabs.f64 x) (sqrt.f64 2)))) 0) (cbrt.f64 (/.f64 (cbrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 4)) (.f64 (fabs.f64 x) (sqrt.f64 2)))))) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x x) 2))) (cbrt.f64 (.f64 (.f64 x x) 2))) 0) (/.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)))) (/.f64 1 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x x) 2))) (cbrt.f64 (.f64 (.f64 x x) 2))))) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 x (+.f64 x x))) (.f64 x (+.f64 x x)))) 0) (cbrt.f64 (/.f64 (cbrt.f64 (.f64 (fabs.f64 x) (sqrt.f64 2))) (/.f64 1 (.f64 (cbrt.f64 (.f64 x (+.f64 x x))) (.f64 x (+.f64 x x)))))) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (cbrt.f64 (.f64 x x)) 0) (/.f64 (.f64 (sqrt.f64 2) (fabs.f64 (cbrt.f64 x))) (/.f64 1 (cbrt.f64 (.f64 x x)))) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (cbrt.f64 (.f64 x x)) 0) (/.f64 (.f64 (sqrt.f64 2) (fabs.f64 (cbrt.f64 x))) (cbrt.f64 (/.f64 1 (.f64 x x)))) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))) 0) (/.f64 (sqrt.f64 (sqrt.f64 2)) (/.f64 1 (.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))) 0) (/.f64 (sqrt.f64 (sqrt.f64 2)) (/.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (sqrt.f64 2)))) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (.f64 (sqrt.f64 2) (fabs.f64 (cbrt.f64 x))) 0) (/.f64 (cbrt.f64 (.f64 x x)) (/.f64 1 (.f64 (sqrt.f64 2) (fabs.f64 (cbrt.f64 x))))) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (sqrt.f64 2) (fabs.f64 (cbrt.f64 x))) 0) (/.f64 (cbrt.f64 (.f64 x x)) (/.f64 (sqrt.f64 1/2) (fabs.f64 (cbrt.f64 x)))) (*.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (/.f64 (.f64 (sqrt.f64 8) (fabs.f64 x)) 4) 0) (/.f64 2 (/.f64 1 (/.f64 (.f64 (sqrt.f64 8) (fabs.f64 x)) 4))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (.f64 1/4 (fabs.f64 x)) (sqrt.f64 8)) 0) (/.f64 2 (/.f64 4 (.f64 (fabs.f64 x) (sqrt.f64 8)))) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 2)) 0) (/.f64 (fabs.f64 (cbrt.f64 x)) (/.f64 1 (.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 2)) 0) (/.f64 (fabs.f64 (cbrt.f64 x)) (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (sqrt.f64 1/2))) (*.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (.f64 (cbrt.f64 (cbrt.f64 2)) (.f64 (cbrt.f64 2) (fabs.f64 x))) 0) (/.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (/.f64 1 (.f64 (cbrt.f64 (cbrt.f64 2)) (.f64 (cbrt.f64 2) (fabs.f64 x))))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 2)) (fabs.f64 x)) 0) (/.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (.f64 (cbrt.f64 (cbrt.f64 1/2)) (/.f64 (cbrt.f64 1/2) (fabs.f64 x)))) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (fabs.f64 x) 0) (/.f64 (sqrt.f64 2) (/.f64 1 (fabs.f64 x))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (fabs.f64 x) 0) (/.f64 (sqrt.f64 2) (/.f64 1 (fabs.f64 x))) (*.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x x) 2))) 0) (/.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) 2) (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))))) (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x x) 2))))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x x)))) 0) (cbrt.f64 (/.f64 (.f64 (.f64 x (+.f64 x x)) (cbrt.f64 (.f64 (fabs.f64 x) (sqrt.f64 2)))) (cbrt.f64 (/.f64 1 (.f64 x (+.f64 x x)))))) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))) 0) (/.f64 (pow.f64 2 1/12) (/.f64 1 (.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))) 0) (/.f64 (pow.f64 2 1/12) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (cbrt.f64 (.f64 (.f64 x x) 2)) 0) (/.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) (/.f64 1 (cbrt.f64 (.f64 (.f64 x x) 2)))) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (cbrt.f64 (.f64 x (+.f64 x x))) 0) (cbrt.f64 (/.f64 (.f64 (fabs.f64 x) (sqrt.f64 2)) (/.f64 1 (.f64 x (+.f64 x x))))) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 2))) 0) (/.f64 (cbrt.f64 (fabs.f64 (cbrt.f64 x))) (/.f64 1 (.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 2))))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (.f64 x x))) (sqrt.f64 2)) 0) (/.f64 (cbrt.f64 (fabs.f64 (cbrt.f64 x))) (/.f64 1 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (.f64 x x))) (sqrt.f64 2)))) (*.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (cbrt.f64 (cbrt.f64 4)) 0) (/.f64 (.f64 (.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 1/4))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (cbrt.f64 (cbrt.f64 4)) 0) (.f64 (fabs.f64 x) (/.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 1/4)))) (*.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))) 0) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 2)) (/.f64 1 (cbrt.f64 (.f64 (sqrt.f64 2) (fabs.f64 x))))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (cbrt.f64 (.f64 (fabs.f64 x) (sqrt.f64 2))) 0) (cbrt.f64 (/.f64 (.f64 x (+.f64 x x)) (/.f64 (sqrt.f64 1/2) (fabs.f64 x)))) (*.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 4 0) (.f64 (sqrt.f64 2) (fabs.f64 x)) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 4 0) (.f64 (fabs.f64 x) (sqrt.f64 2)) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 -1 0) (.f64 (sqrt.f64 2) (fabs.f64 x)) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 -1 0) (.f64 (fabs.f64 x) (sqrt.f64 2)) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (cbrt.f64 4) 0) (.f64 (/.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) (cbrt.f64 4)) (cbrt.f64 4)) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (cbrt.f64 4) 0) (.f64 (.f64 (fabs.f64 x) (sqrt.f64 2)) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 2 0) (.f64 (sqrt.f64 2) (fabs.f64 x)) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 2 0) (.f64 (fabs.f64 x) (sqrt.f64 2)) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 -4 0) (.f64 (sqrt.f64 2) (fabs.f64 x)) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 -4 0) (.f64 (fabs.f64 x) (sqrt.f64 2)) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 -2 0) (.f64 (/.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) -2) -2) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 -2 0) (.f64 (neg.f64 (.f64 (fabs.f64 x) (sqrt.f64 1/2))) -2) (*.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (sqrt.f64 2) 0) (.f64 (sqrt.f64 2) (fabs.f64 x)) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (sqrt.f64 2) 0) (.f64 (fabs.f64 x) (sqrt.f64 2)) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (sqrt.f64 8) 0) (.f64 (/.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) (sqrt.f64 8)) (sqrt.f64 8)) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (sqrt.f64 8) 0) (/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 2)) (sqrt.f64 8)) (sqrt.f64 8)) (*.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (.f64 (sqrt.f64 2) (cbrt.f64 4)) 0) (.f64 (/.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) (.f64 (sqrt.f64 2) (cbrt.f64 4))) (.f64 (sqrt.f64 2) (cbrt.f64 4))) (.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (.f64 (sqrt.f64 2) (cbrt.f64 4)) 0) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 2 2)) (.f64 (fabs.f64 x) (cbrt.f64 1/4))) (sqrt.f64 2)) (cbrt.f64 4)) (.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (neg.f64 (sqrt.f64 8)) 0) (.f64 (/.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) (neg.f64 (sqrt.f64 8))) (neg.f64 (sqrt.f64 8))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (neg.f64 (sqrt.f64 8)) 0) (/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 2)) (sqrt.f64 8)) (sqrt.f64 8)) (*.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (neg.f64 (pow.f64 4 5/6)) 0) (.f64 (/.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) (neg.f64 (pow.f64 4 5/6))) (neg.f64 (pow.f64 4 5/6))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (neg.f64 (pow.f64 4 5/6)) 0) (/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 2)) (pow.f64 4 5/6)) (pow.f64 4 5/6)) (*.f64 (fabs.f64 x) (sqrt.f64 2)))
(if (!=.f64 (cbrt.f64 16) 0) (.f64 (/.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) (cbrt.f64 16)) (cbrt.f64 16)) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
(if (!=.f64 (cbrt.f64 16) 0) (/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 2)) (cbrt.f64 16)) (cbrt.f64 16)) (*.f64 (fabs.f64 x) (sqrt.f64 2)))
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(.f64 (.f64 (cbrt.f64 (cbrt.f64 2)) (*.f64 (cbrt.f64 2) (fabs.f64 x))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 2)) (fabs.f64 x)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))) (pow.f64 2 1/12))
(.f64 (.f64 (*.f64 (pow.f64 2 1/12) (cbrt.f64 (sqrt.f64 2))) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 2)))
(.f64 (cbrt.f64 (cbrt.f64 4)) (.f64 (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 2))))
(.f64 (fabs.f64 x) (/.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 1/4))))
(.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))) (.f64 (pow.f64 2 1/12) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 2)))
(.f64 (.f64 (.f64 (pow.f64 2 1/12) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (cbrt.f64 2))) (.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))
(.f64 (.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))) 2) (sqrt.f64 (sqrt.f64 1/8)))
(.f64 (fabs.f64 x) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) 4)) (sqrt.f64 (sqrt.f64 1/8))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 4) 4)
(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 2)) -4) -4)
(.f64 (/.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) -4) -4)
(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 2)) -4) -4)
(.f64 (/.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 1/4) 1/4)
(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 2)) -4) -4)
(.f64 8 (pow.f64 (.f64 1/2 (cbrt.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)))) 3))
(.f64 (.f64 8 1/8) (*.f64 (fabs.f64 x) (sqrt.f64 2)))
(.f64 (pow.f64 2 1/12) (cbrt.f64 (.f64 (.f64 (.f64 x x) 2) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))))
(.f64 (pow.f64 2 1/12) (cbrt.f64 (.f64 (.f64 (fabs.f64 x) (.f64 x x)) (sqrt.f64 (*.f64 (sqrt.f64 2) 4)))))
(.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) 2) (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x (+.f64 x x)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2))) (fabs.f64 x)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 2) (fabs.f64 x)) (.f64 (*.f64 x x) 2))))
(cbrt.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (cbrt.f64 2) (.f64 (fabs.f64 x) (.f64 x (+.f64 x x))))))
(*.f64 (sqrt.f64 2) (fabs.f64 x))
(*.f64 (fabs.f64 x) (sqrt.f64 2))
(*.f64 (fabs.f64 x) (sqrt.f64 2))
(.f64 (.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(*.f64 (fabs.f64 x) (sqrt.f64 2))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (cbrt.f64 2) (fabs.f64 x)))
(*.f64 (fabs.f64 x) (sqrt.f64 2))
(.f64 (cbrt.f64 2) (.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (fabs.f64 x) (sqrt.f64 2))
(.f64 (.f64 (cbrt.f64 2) (fabs.f64 x)) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (fabs.f64 x) (sqrt.f64 2))
(.f64 (.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 1/12)) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 (pow.f64 2 1/12) (cbrt.f64 (sqrt.f64 2))) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 2)))
(.f64 2 (/.f64 (.f64 (sqrt.f64 8) (fabs.f64 x)) 4))
(.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) 1/2)
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 1/12)))
(.f64 (.f64 (*.f64 (pow.f64 2 1/12) (cbrt.f64 (sqrt.f64 2))) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 2)))
(.f64 (/.f64 (.f64 (sqrt.f64 8) (fabs.f64 x)) 4) 2)
(.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) 1/2)
(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))))
(.f64 (fabs.f64 x) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) 4)) (sqrt.f64 (sqrt.f64 1/8))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) (sqrt.f64 2)) (sqrt.f64 2))
(.f64 (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 2 2))) (sqrt.f64 2))
(.f64 (/.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) 4) 2)
(.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) 1/2)
(.f64 2 (/.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) 4))
(.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) 1/2)
(.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (.f64 (fabs.f64 x) (.f64 (.f64 x x) 2))))
(cbrt.f64 (.f64 (.f64 (fabs.f64 x) (*.f64 x (+.f64 x x))) (sqrt.f64 2)))
(.f64 1 (.f64 (sqrt.f64 2) (fabs.f64 x)))
(*.f64 (fabs.f64 x) (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) 1)
(*.f64 (fabs.f64 x) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) 2) 4)
(.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) 1/2)
(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) (neg.f64 (sqrt.f64 1/2))) (neg.f64 (sqrt.f64 2)))
(.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) 1/2)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x))) -1)
(*.f64 (fabs.f64 x) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) -1) -2)
(.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) 1/2)
(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) (cbrt.f64 1/2)) (cbrt.f64 4))
(.f64 (.f64 (*.f64 (fabs.f64 x) (sqrt.f64 8)) (cbrt.f64 1/2)) (cbrt.f64 1/4))
(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) (sqrt.f64 (sqrt.f64 1/8))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (fabs.f64 x) (sqrt.f64 (.f64 8 (sqrt.f64 1/8)))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 8)))
(/.f64 (.f64 (fabs.f64 x) (sqrt.f64 (.f64 8 (sqrt.f64 1/2)))) (sqrt.f64 (sqrt.f64 8)))
(/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 1/2)))
(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) (sqrt.f64 1/2)) (sqrt.f64 2))
(.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) 1/2)
(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) (pow.f64 2 (neg.f64 5/6))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) (*.f64 (pow.f64 2 -5/6) (cbrt.f64 (sqrt.f64 1/2))))
(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) (cbrt.f64 (sqrt.f64 1/2))) (pow.f64 2 5/6))
(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) (cbrt.f64 1/4)) (cbrt.f64 2))
(.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) 1/2)
(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 1/12)) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 (pow.f64 2 1/12) (cbrt.f64 (sqrt.f64 2))) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (cbrt.f64 2) (fabs.f64 x)) (cbrt.f64 (sqrt.f64 1/2)))
(*.f64 (fabs.f64 x) (sqrt.f64 2))
(/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 8)) 2)
(.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) 1/2)
(/.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)) 1)
(*.f64 (fabs.f64 x) (sqrt.f64 2))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x))) 3)
(*.f64 (fabs.f64 x) (sqrt.f64 2))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)) 3) 1/3)
(*.f64 (fabs.f64 x) (sqrt.f64 2))
(pow.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)) 1)
(*.f64 (fabs.f64 x) (sqrt.f64 2))
(neg.f64 (.f64 -1 (.f64 (sqrt.f64 2) (fabs.f64 x))))
(*.f64 (fabs.f64 x) (sqrt.f64 2))
(neg.f64 (.f64 -2 (/.f64 (.f64 (sqrt.f64 8) (fabs.f64 x)) 4)))
(.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) 1/2)
(neg.f64 (.f64 (.f64 (sqrt.f64 2) (fabs.f64 x)) -1))
(*.f64 (fabs.f64 x) (sqrt.f64 2))
(neg.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) -1/2))
(.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) 1/2)
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fabs.f64 x)) 3))
(*.f64 (fabs.f64 x) (sqrt.f64 2))

eval163.0ms (1.2%)

Compiler: Compiled 9656 to 6099 computations (36.8% saved)

prune104.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	516	7	523
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	517	8	525

Error

Counts

525 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.8b	(if (!=.f64 (.f64 (+.f64 x x) x) 0) (/.f64 1 (pow.f64 (.f64 (+.f64 x x) x) -1/2)) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
	0.4b	(if (!=.f64 (sqrt.f64 2) 0) (/.f64 (fabs.f64 x) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
▶	0.4b	(if (!=.f64 (fabs.f64 x) 0) (/.f64 (sqrt.f64 2) (/.f64 1 (fabs.f64 x))) (*.f64 (sqrt.f64 2) (fabs.f64 x)))
	0.7b	(/.f64 (.f64 (.f64 (fabs.f64 x) (sqrt.f64 8)) (cbrt.f64 1/4)) (cbrt.f64 2))
▶	32.4b	(*.f64 (sqrt.f64 2) x)
▶	30.1b	(sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2)))
✓	30.0b	(sqrt.f64 (.f64 2 (.f64 x x)))
▶	30.5b	(neg.f64 (*.f64 (sqrt.f64 2) x))

Compiler

Compiled 185 to 141 computations (23.8% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (sqrt.f64 2) (/.f64 1 (fabs.f64 x)))
	0.5b	(*.f64 (sqrt.f64 2) (fabs.f64 x))

Compiler

Compiled 46 to 30 computations (34.8% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (sqrt.f64 2) (/.f64 1 (fabs.f64 x)))
0.0ms	x	@	inf	(/.f64 (sqrt.f64 2) (/.f64 1 (fabs.f64 x)))
0.0ms	x	@	-inf	(/.f64 (sqrt.f64 2) (/.f64 1 (fabs.f64 x)))

Compiler

Compiled 310 to 195 computations (37.1% saved)

rewrite129.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

109× egg-rr

Counts

1 → 109

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 2) (/.f64 1 (fabs.f64 x)))

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

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simplify454.0ms (3.3%)

Algorithm

1×

egglog

Counts

121 → 118

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (sqrt.f64 2) x)
1.0ms	x	@	-inf	(*.f64 (sqrt.f64 2) x)
1.0ms	x	@	inf	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 10 to 10 computations (0% saved)

rewrite108.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

99× egg-rr

Counts

1 → 99

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)

Outputs
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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (cbrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 2) x) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 x (sqrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 x (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 8) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 8) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) (cbrt.f64 4))) (*.f64 (sqrt.f64 2) (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (*.f64 (sqrt.f64 2) x)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 2) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) x) (pow.f64 4 5/6)) (pow.f64 4 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 8) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 4 5/6) (*.f64 (sqrt.f64 2) x)) (pow.f64 4 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 (sqrt.f64 2) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 8)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -2 (*.f64 (sqrt.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sqrt.f64 2) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sqrt.f64 8) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 8)))))))

simplify422.0ms (3.1%)

Algorithm

1×

egglog

Counts

99 → 115

Calls

Call 1

Inputs
(fma.f64 (.f64 (sqrt.f64 2) x) 1/2 (.f64 (sqrt.f64 1/2) x))
(fma.f64 1/2 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (+.f64 (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x)) (-.f64 (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x)) (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) x) 3) (pow.f64 (.f64 (sqrt.f64 1/2) x) 3)) (+.f64 (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x)) (-.f64 (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x)) (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x))))) (*.f64 (sqrt.f64 2) x))
(if (!=.f64 (.f64 (sqrt.f64 1/2) x) 0) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) x) 3) (pow.f64 (.f64 (sqrt.f64 1/2) x) 3)) (+.f64 (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x)) (-.f64 (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x)) (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x))))) (*.f64 (sqrt.f64 2) x))
(if (!=.f64 (.f64 (sqrt.f64 2) x) 0) (/.f64 1 (pow.f64 (.f64 (sqrt.f64 2) x) -1)) (*.f64 (sqrt.f64 2) x))
(if (!=.f64 (-.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x)) 0) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x)) (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x))) (-.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x))) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x))
(+.f64 (.f64 (.f64 (sqrt.f64 8) x) 1/4) (.f64 (.f64 (sqrt.f64 8) x) 1/4))
(+.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 1/2 x)) (.f64 (sqrt.f64 2) (.f64 1/2 x)))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 8) x)) (.f64 1/4 (.f64 (sqrt.f64 8) x)))
(.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)))) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x x) x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (cbrt.f64 (.f64 (.f64 (+.f64 x x) x) (cbrt.f64 (*.f64 (+.f64 x x) x)))))
(.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 (sqrt.f64 8) (*.f64 x x)))))
(.f64 (.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 1/8)) (pow.f64 2 1/8))
(.f64 (pow.f64 2 1/8) (.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 1/8)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (.f64 (cbrt.f64 (cbrt.f64 2)) (*.f64 (cbrt.f64 2) x)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x))) (.f64 (sqrt.f64 2) x))))
(.f64 (.f64 (sqrt.f64 2) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (sqrt.f64 2) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (.f64 (sqrt.f64 2) x))) (cbrt.f64 (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x)))))
(.f64 (.f64 (.f64 (sqrt.f64 2) (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x)))) (cbrt.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (.f64 (sqrt.f64 2) x))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 (sqrt.f64 8) (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x))) (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)))))
(.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x))) (.f64 (sqrt.f64 2) x))) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 2)) (*.f64 (cbrt.f64 2) x)) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(.f64 (cbrt.f64 (.f64 (.f64 (+.f64 x x) x) (cbrt.f64 (.f64 (+.f64 x x) x)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (.f64 (.f64 (sqrt.f64 2) (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x)))))
(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)))) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))
(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x))))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x))))))
(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)))) 1) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))
(.f64 (.f64 (sqrt.f64 2) (cbrt.f64 (cbrt.f64 x))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (*.f64 x x))))
(.f64 (.f64 (sqrt.f64 2) (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (.f64 (*.f64 x (cbrt.f64 x)) x)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 (.f64 x x))))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(.f64 (.f64 1 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))))) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x))) (.f64 (sqrt.f64 2) x)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x))) (*.f64 (sqrt.f64 2) x)))))
(.f64 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (cbrt.f64 x))) (.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (sqrt.f64 2)))
(.f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (*.f64 x x))) (sqrt.f64 2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (.f64 (*.f64 x (cbrt.f64 x)) x)) (sqrt.f64 2)))
(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (.f64 (*.f64 x (cbrt.f64 x)) (sqrt.f64 8))))
(.f64 8 (pow.f64 (.f64 1/2 (cbrt.f64 (*.f64 (sqrt.f64 2) x))) 3))
(.f64 (cbrt.f64 x) (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (sqrt.f64 2))) 3))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 2)))
(.f64 (.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 2)) (cbrt.f64 x))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (cbrt.f64 (*.f64 (+.f64 x x) x)))
(.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (*.f64 (sqrt.f64 2) x)))
(.f64 (.f64 (*.f64 x (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))
(.f64 (cbrt.f64 (.f64 (*.f64 (sqrt.f64 8) x) x)) (cbrt.f64 x))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) (.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 x (sqrt.f64 (sqrt.f64 2)))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 2) x)))
(.f64 2 (.f64 (sqrt.f64 1/2) x))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 x (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 2) x)) (cbrt.f64 (sqrt.f64 (sqrt.f64 2))))
(.f64 (.f64 (sqrt.f64 1/2) x) 2)
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (*.f64 (sqrt.f64 8) x) x)))
(.f64 (cbrt.f64 (cbrt.f64 4)) (.f64 (*.f64 x (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 2))))
(.f64 (sqrt.f64 8) (.f64 1/2 x))
(.f64 (.f64 1 (.f64 (.f64 x (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 2)))) (cbrt.f64 (cbrt.f64 4)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) x) -4) -4)
(.f64 (/.f64 (.f64 (sqrt.f64 2) x) 1/4) 1/4)
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (cbrt.f64 2) x))
(.f64 (.f64 (cbrt.f64 2) x) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(.f64 (.f64 x (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 x (sqrt.f64 (sqrt.f64 2))))
(.f64 (cbrt.f64 2) (.f64 x (cbrt.f64 (sqrt.f64 2))))
(.f64 (.f64 (sqrt.f64 8) x) 1/2)
(.f64 1 (.f64 (sqrt.f64 2) x))
(.f64 (.f64 (sqrt.f64 2) x) 1)
(.f64 1/2 (.f64 (sqrt.f64 8) x))
(.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) 1/2)
(*.f64 (+.f64 x x) (sqrt.f64 1/2))
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (cbrt.f64 4))) (.f64 (sqrt.f64 2) (cbrt.f64 4)))
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) -4) -4)
(/.f64 (.f64 -4 (.f64 (sqrt.f64 2) x)) -4)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 2) x)) -1)
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) (pow.f64 4 5/6)) (pow.f64 4 5/6))
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) -2) -2)
(/.f64 (*.f64 (sqrt.f64 8) x) 2)
(/.f64 (.f64 (pow.f64 4 5/6) (.f64 (sqrt.f64 2) x)) (pow.f64 4 5/6))
(/.f64 (.f64 -2 (.f64 (sqrt.f64 2) x)) -2)
(/.f64 (*.f64 (sqrt.f64 2) x) 1)
(/.f64 (+.f64 x x) (sqrt.f64 2))
(/.f64 (*.f64 x (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 1/2))
(pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 8)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
(pow.f64 (*.f64 (sqrt.f64 2) x) 1)
(neg.f64 (.f64 -2 (.f64 (sqrt.f64 1/2) x)))
(neg.f64 (.f64 -1 (.f64 (sqrt.f64 2) x)))
(neg.f64 (.f64 (.f64 (sqrt.f64 2) x) -1))
(neg.f64 (.f64 (.f64 (sqrt.f64 8) x) -1/2))
(cbrt.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 8)))

Outputs
(fma.f64 (.f64 (sqrt.f64 2) x) 1/2 (.f64 (sqrt.f64 1/2) x))
(*.f64 (sqrt.f64 2) x)
(fma.f64 1/2 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 1/2) x))
(*.f64 (sqrt.f64 2) x)
(if (!=.f64 (+.f64 (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x)) (-.f64 (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x)) (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) x) 3) (pow.f64 (.f64 (sqrt.f64 1/2) x) 3)) (+.f64 (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x)) (-.f64 (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x)) (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x))))) (*.f64 (sqrt.f64 2) x))
(if (!=.f64 (.f64 1/2 (.f64 x x)) 0) (/.f64 (.f64 2 (.f64 (sqrt.f64 1/8) (pow.f64 x 3))) (.f64 1/2 (.f64 x x))) (*.f64 (sqrt.f64 2) x))
(if (!=.f64 (.f64 (sqrt.f64 1/2) x) 0) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) x) 3) (pow.f64 (.f64 (sqrt.f64 1/2) x) 3)) (+.f64 (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x)) (-.f64 (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x)) (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x))))) (*.f64 (sqrt.f64 2) x))
(if (!=.f64 (.f64 (sqrt.f64 1/2) x) 0) (/.f64 (.f64 2 (.f64 (sqrt.f64 1/8) (pow.f64 x 3))) (.f64 1/2 (.f64 x x))) (.f64 (sqrt.f64 2) x))
(if (!=.f64 (.f64 (sqrt.f64 2) x) 0) (/.f64 1 (pow.f64 (.f64 (sqrt.f64 2) x) -1)) (*.f64 (sqrt.f64 2) x))
(if (!=.f64 (.f64 (sqrt.f64 2) x) 0) (pow.f64 (/.f64 (sqrt.f64 1/2) x) -1) (.f64 (sqrt.f64 2) x))
(if (!=.f64 (-.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x)) 0) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x)) (.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x))) (-.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x))) (*.f64 (sqrt.f64 2) x))
(if (!=.f64 0 0) 0 (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (.f64 (sqrt.f64 8) x) 1/4) (.f64 (.f64 (sqrt.f64 8) x) 1/4))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 (sqrt.f64 2) (.f64 1/2 x)) (.f64 (sqrt.f64 2) (.f64 1/2 x)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 8) x)) (.f64 1/4 (.f64 (sqrt.f64 8) x)))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)))) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x x) x))))
(cbrt.f64 (.f64 (.f64 (+.f64 x x) x) (cbrt.f64 (.f64 (.f64 (*.f64 (+.f64 x x) x) x) (sqrt.f64 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (cbrt.f64 (.f64 (.f64 (+.f64 x x) x) (cbrt.f64 (*.f64 (+.f64 x x) x)))))
(cbrt.f64 (.f64 (.f64 (+.f64 x x) x) (cbrt.f64 (.f64 (.f64 (*.f64 (+.f64 x x) x) x) (sqrt.f64 2)))))
(.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 (sqrt.f64 8) (*.f64 x x)))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 1/8)) (pow.f64 2 1/8))
(*.f64 (sqrt.f64 2) x)
(.f64 (pow.f64 2 1/8) (.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 1/8)))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (.f64 (cbrt.f64 (cbrt.f64 2)) (*.f64 (cbrt.f64 2) x)))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x))) (.f64 (sqrt.f64 2) x))))
(cbrt.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (sqrt.f64 2)) x) (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x)))))
(.f64 (.f64 (sqrt.f64 2) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (sqrt.f64 2) (cbrt.f64 x)))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (.f64 (sqrt.f64 2) x))) (cbrt.f64 (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x)))))
(cbrt.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (sqrt.f64 2)) x) (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x)))))
(.f64 (.f64 (.f64 (sqrt.f64 2) (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(.f64 (sqrt.f64 2) (cbrt.f64 (.f64 (.f64 x (cbrt.f64 (.f64 x x))) (*.f64 x (cbrt.f64 x)))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x)))) (cbrt.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (.f64 (sqrt.f64 2) x))))
(cbrt.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (sqrt.f64 2)) x) (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x)))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 (sqrt.f64 8) (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x))) (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)))))
(cbrt.f64 (.f64 (.f64 (+.f64 x x) x) (cbrt.f64 (.f64 (.f64 (*.f64 (+.f64 x x) x) x) (sqrt.f64 2)))))
(.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x))) (.f64 (sqrt.f64 2) x))) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x))))
(cbrt.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (sqrt.f64 2)) x) (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x)))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 2)) (*.f64 (cbrt.f64 2) x)) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (.f64 (.f64 (+.f64 x x) x) (cbrt.f64 (.f64 (+.f64 x x) x)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))
(cbrt.f64 (.f64 (.f64 (+.f64 x x) x) (cbrt.f64 (.f64 (.f64 (*.f64 (+.f64 x x) x) x) (sqrt.f64 2)))))
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (.f64 (.f64 (sqrt.f64 2) (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x)))))
(.f64 (sqrt.f64 2) (cbrt.f64 (.f64 (.f64 x (cbrt.f64 (.f64 x x))) (*.f64 x (cbrt.f64 x)))))
(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)))) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x))))
(.f64 (cbrt.f64 (.f64 (.f64 (+.f64 x x) x) (cbrt.f64 (.f64 (sqrt.f64 2) x)))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 x x) 2))))
(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x))))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x))))))
(cbrt.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x)))) (.f64 (.f64 (+.f64 x x) x) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (sqrt.f64 2)) x)))))
(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)))) 1) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x))))
(cbrt.f64 (.f64 (.f64 (+.f64 x x) x) (cbrt.f64 (.f64 (.f64 (*.f64 (+.f64 x x) x) x) (sqrt.f64 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) (cbrt.f64 (cbrt.f64 x))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (*.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (.f64 (*.f64 x (cbrt.f64 x)) x)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 (.f64 x x))))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(.f64 (sqrt.f64 2) (cbrt.f64 (.f64 (.f64 x (cbrt.f64 (.f64 x x))) (*.f64 x (cbrt.f64 x)))))
(.f64 (.f64 1 (.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))))) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x))))
(cbrt.f64 (.f64 (.f64 (+.f64 x x) x) (cbrt.f64 (.f64 (.f64 (*.f64 (+.f64 x x) x) x) (sqrt.f64 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x))) (.f64 (sqrt.f64 2) x)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x x) 2))) (cbrt.f64 (.f64 (.f64 (.f64 (cbrt.f64 4) (*.f64 x (cbrt.f64 x))) (sqrt.f64 2)) x)))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x x) x)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x))) (*.f64 (sqrt.f64 2) x)))))
(cbrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x)))) (.f64 (.f64 (.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 x))) (sqrt.f64 2)) x)) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x x) x)))))
(.f64 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (cbrt.f64 x))) (.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (*.f64 x x))) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (.f64 (*.f64 x (cbrt.f64 x)) x)) (sqrt.f64 2)))
(cbrt.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 (*.f64 x (cbrt.f64 x)) x) (sqrt.f64 8))))
(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (.f64 (*.f64 x (cbrt.f64 x)) (sqrt.f64 8))))
(cbrt.f64 (.f64 (.f64 x (cbrt.f64 (.f64 x x))) (.f64 (*.f64 x (cbrt.f64 x)) (sqrt.f64 8))))
(.f64 8 (pow.f64 (.f64 1/2 (cbrt.f64 (*.f64 (sqrt.f64 2) x))) 3))
(.f64 8 (.f64 (*.f64 1/8 x) (sqrt.f64 2)))
(.f64 (cbrt.f64 x) (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (sqrt.f64 2))) 3))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 2)) (cbrt.f64 x))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) x)) (cbrt.f64 (*.f64 (+.f64 x x) x)))
(cbrt.f64 (.f64 (.f64 (*.f64 (+.f64 x x) x) x) (sqrt.f64 2)))
(.f64 (cbrt.f64 (.f64 (+.f64 x x) x)) (cbrt.f64 (*.f64 (sqrt.f64 2) x)))
(cbrt.f64 (.f64 (.f64 (*.f64 (+.f64 x x) x) x) (sqrt.f64 2)))
(.f64 (.f64 (*.f64 x (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (.f64 (*.f64 (sqrt.f64 8) x) x)) (cbrt.f64 x))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) (.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 x (sqrt.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 2) x)))
(*.f64 (sqrt.f64 2) x)
(.f64 2 (.f64 (sqrt.f64 1/2) x))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 x (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 2) x)) (cbrt.f64 (sqrt.f64 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 1/2) x) 2)
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (*.f64 (sqrt.f64 8) x) x)))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (cbrt.f64 4)) (.f64 (*.f64 x (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 8) (.f64 1/2 x))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 1 (.f64 (.f64 x (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 2)))) (cbrt.f64 (cbrt.f64 4)))
(*.f64 (sqrt.f64 2) x)
(.f64 (/.f64 (.f64 (sqrt.f64 2) x) -4) -4)
(*.f64 (sqrt.f64 2) x)
(.f64 (/.f64 (.f64 (sqrt.f64 2) x) 1/4) 1/4)
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (cbrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (cbrt.f64 2) x) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 x (sqrt.f64 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 2) (.f64 x (cbrt.f64 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 8) x) 1/2)
(*.f64 (sqrt.f64 2) x)
(.f64 1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) x) 1)
(*.f64 (sqrt.f64 2) x)
(.f64 1/2 (.f64 (sqrt.f64 8) x))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) 1/2)
(*.f64 (sqrt.f64 2) x)
(*.f64 (+.f64 x x) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (cbrt.f64 4))) (.f64 (sqrt.f64 2) (cbrt.f64 4)))
(.f64 (.f64 (sqrt.f64 2) x) (/.f64 (cbrt.f64 4) (cbrt.f64 4)))
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) -4) -4)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 -4 (.f64 (sqrt.f64 2) x)) -4)
(*.f64 (sqrt.f64 2) x)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 2) x)) -1)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) (pow.f64 4 5/6)) (pow.f64 4 5/6))
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) -2) -2)
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (sqrt.f64 8) x) 2)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (pow.f64 4 5/6) (.f64 (sqrt.f64 2) x)) (pow.f64 4 5/6))
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 -2 (.f64 (sqrt.f64 2) x)) -2)
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (sqrt.f64 2) x) 1)
(*.f64 (sqrt.f64 2) x)
(/.f64 (+.f64 x x) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 x (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 1/2))
(*.f64 (sqrt.f64 2) x)
(pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 8)) 1/3)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (*.f64 (sqrt.f64 2) x) 1)
(*.f64 (sqrt.f64 2) x)
(neg.f64 (.f64 -2 (.f64 (sqrt.f64 1/2) x)))
(*.f64 (sqrt.f64 2) x)
(neg.f64 (.f64 -1 (.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) x)
(neg.f64 (.f64 (.f64 (sqrt.f64 2) x) -1))
(*.f64 (sqrt.f64 2) x)
(neg.f64 (.f64 (.f64 (sqrt.f64 8) x) -1/2))
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 8)))
(*.f64 (sqrt.f64 2) x)

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.5b	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize32.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 2 (pow.f64 (/.f64 1 x) -2))
✓	0.3b	(pow.f64 (/.f64 1 x) -2)
✓	28.9b	(sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2)))

Compiler

Compiled 28 to 23 computations (17.9% saved)

series23.0ms (0.2%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2)))
2.0ms	x	@	0	(sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2)))
1.0ms	x	@	inf	(sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2)))
0.0ms	x	@	inf	(*.f64 2 (pow.f64 (/.f64 1 x) -2))
0.0ms	x	@	0	(pow.f64 (/.f64 1 x) -2)

Compiler

Compiled 690 to 550 computations (20.3% saved)

rewrite265.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

121×	`egg-rr`
85×	`egg-rr`
52×	`egg-rr`

Counts

3 → 258

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2)))
(pow.f64 (/.f64 1 x) -2)
(*.f64 2 (pow.f64 (/.f64 1 x) -2))

Outputs

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

simplify637.0ms (4.6%)

Algorithm

1×

egglog

Counts

286 → 345

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 (/.f64 -1 x) -2)
(pow.f64 (/.f64 -1 x) -2)
(pow.f64 (/.f64 -1 x) -2)
(pow.f64 (/.f64 -1 x) -2)
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 2 (pow.f64 (/.f64 -1 x) -2))
(if (!=.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 0) (pow.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) -1) (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3)) (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3)) 0) (/.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))) (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3)) (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3)))) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) 0) (/.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) -1/2)) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 4/3)) 0) (/.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))) (/.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 4/3)))) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 -1 0) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))) 0) (/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))))) (/.f64 1 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))))) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 4/3) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))) 0) (/.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3)) (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 4/3) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))))) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))) 0) (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))) (/.f64 1 (neg.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))))) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3)) 0) (/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))))) (/.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3)))) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) 0) (/.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))))) (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) 3/2) 0) (/.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))) (/.f64 1 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) 3/2))) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))))) 0) (/.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))))))) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) 0) (/.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3) (/.f64 1 (cbrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))))) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))) 0) (/.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))) (/.f64 1 (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))))) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3) 0) (/.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) (/.f64 1 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3))) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))) 0) (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) 3/2) (/.f64 1 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))))) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 2 0) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2) -1/2)) (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)) 0) (/.f64 1 (pow.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)) -1/2)) (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) -2)) (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) -3)) (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 3) -1/3)) (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 1 0) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(+.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) 0) (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 1/2) (.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 1/2))
(+.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) (.f64 (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))) 0))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 0) (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))
(+.f64 (.f64 0 (neg.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))) (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))
(+.f64 (.f64 1/2 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) (.f64 1/2 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))))
(+.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) (.f64 0 (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2)))))
(+.f64 (.f64 0 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2)))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) (pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3))
(.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3) (cbrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2)))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))))) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2)))) 3/2))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))) (.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2)))))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3)) (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 4/3) (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))))
(.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))) (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))) 4/3)))
(.f64 1 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 1)
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(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) 2) (cbrt.f64 (*.f64 4 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) 2) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2))) 2) (*.f64 2 (pow.f64 (/.f64 1 x) -2)))))
(.f64 (cbrt.f64 (.f64 (.f64 4 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) (cbrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) 2) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2)))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 4 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2))) (.f64 2 (pow.f64 (/.f64 1 x) -2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2))) 2)))
(.f64 (.f64 (*.f64 2 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) -1) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2))))
(.f64 (.f64 (.f64 2 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)))) (cbrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)))))
(.f64 (.f64 (.f64 2 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) (.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) 2))
(.f64 (.f64 (*.f64 2 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) 2))
(.f64 (.f64 (*.f64 2 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) (.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)))) (.f64 2 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2)) (*.f64 2 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)))))
(.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) (.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) (*.f64 2 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)))) (+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) 2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2)) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) 2) (+.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)))) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) (pow.f64 (pow.f64 (/.f64 1 x) -2) 2))) (+.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)))))
(.f64 (.f64 2 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) (cbrt.f64 (*.f64 4 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2))))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2))) (cbrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))
(.f64 (.f64 (*.f64 (pow.f64 (/.f64 1 x) -2) (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 4))) (cbrt.f64 (cbrt.f64 16)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)) (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 1 x) -2)))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) (.f64 2 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))))
(.f64 (.f64 (*.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (*.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2))))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (cbrt.f64 2) (*.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2))))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (*.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 (sqrt.f64 2))))
(.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (cbrt.f64 2)) (cbrt.f64 4))
(.f64 (cbrt.f64 4) (.f64 (pow.f64 (/.f64 1 x) -2) (cbrt.f64 2)))
(.f64 (cbrt.f64 (.f64 (*.f64 8 (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2)))
(.f64 1 (.f64 2 (pow.f64 (/.f64 1 x) -2)))
(.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)) 1)
(.f64 (neg.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) -1)
(.f64 -1 (neg.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(.f64 -1 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2))) (*.f64 2 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)))) (cbrt.f64 (.f64 (.f64 8 (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2)) (cbrt.f64 (.f64 (*.f64 8 (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2)) (+.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)))) (cbrt.f64 (*.f64 (pow.f64 (/.f64 1 x) -2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2))))))
(.f64 -1 (pow.f64 (cbrt.f64 (neg.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 (cbrt.f64 2))) 3) (cbrt.f64 4))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) 2) (cbrt.f64 2)) 3))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) (-.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)))) (.f64 2 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 (.f64 (*.f64 4 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2)))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 x) -2)))
(.f64 (.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 2))
(.f64 (.f64 (*.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(.f64 (neg.f64 (.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 x) -2))) (cbrt.f64 -2))
(.f64 (cbrt.f64 (cbrt.f64 2)) (.f64 (cbrt.f64 (cbrt.f64 4)) (*.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 x) -2))))
(.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2)) (sqrt.f64 2))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2)))
(*.f64 (neg.f64 (pow.f64 (/.f64 1 x) -2)) -2)
(*.f64 2 (pow.f64 (/.f64 1 x) -2))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(.f64 (/.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)) 2) 2)
(/.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2)) 1)
(/.f64 (.f64 (neg.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 1) -1)
(/.f64 (*.f64 (pow.f64 (/.f64 1 x) -2) -2) -1)
(/.f64 (neg.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))) -1)
(/.f64 (*.f64 -2 (pow.f64 (/.f64 1 x) -2)) -1)
(/.f64 (pow.f64 (/.f64 1 x) -2) 1/2)
(/.f64 (*.f64 (pow.f64 (/.f64 1 x) -2) 4) 2)
(/.f64 (*.f64 4 (pow.f64 (/.f64 1 x) -2)) 2)
(pow.f64 (*.f64 8 (pow.f64 (pow.f64 (/.f64 1 x) -2) 3)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))) 3)
(pow.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2)) 1)
(neg.f64 (neg.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))
(neg.f64 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2)))
(neg.f64 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2))) (.f64 2 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)))))
(neg.f64 (.f64 (cbrt.f64 -4) (.f64 (pow.f64 (/.f64 1 x) -2) (cbrt.f64 2))))
(neg.f64 (*.f64 -2 (pow.f64 (/.f64 1 x) -2)))
(neg.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2))))
(neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 1 x) -2)) 2))
(neg.f64 (.f64 (cbrt.f64 -2) (.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 x) -2))))
(neg.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)))))
(neg.f64 (.f64 (.f64 2 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)))))
(neg.f64 (.f64 (cbrt.f64 (.f64 4 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2))) (cbrt.f64 (neg.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))))
(neg.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 x) -2))) (cbrt.f64 2)))
(neg.f64 (.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (cbrt.f64 2)) (cbrt.f64 -4)))
(neg.f64 (.f64 (neg.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 1))
(neg.f64 (*.f64 (pow.f64 (/.f64 1 x) -2) -2))
(neg.f64 (.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2)) (neg.f64 (sqrt.f64 2))))
(neg.f64 (*.f64 2 (neg.f64 (pow.f64 (/.f64 1 x) -2))))
(neg.f64 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 -2)))
(neg.f64 (.f64 (.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 -2)))
(neg.f64 (pow.f64 (cbrt.f64 (neg.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2)))) 3))
(cbrt.f64 (*.f64 8 (pow.f64 (pow.f64 (/.f64 1 x) -2) 3)))

Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 (/.f64 -1 x) -2)
(pow.f64 (/.f64 -1 x) -2)
(pow.f64 (/.f64 -1 x) -2)
(pow.f64 (/.f64 -1 x) -2)
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(*.f64 2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 2 (pow.f64 (/.f64 -1 x) -2))
(if (!=.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 0) (pow.f64 (/.f64 1 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) -1) (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (sqrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) 2)) 0) (pow.f64 (/.f64 1 (sqrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) 2))) -1) (sqrt.f64 (*.f64 (pow.f64 (/.f64 1 x) -2) 2)))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3)) (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3)) 0) (/.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))) (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3)) (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3)))) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2/3)) (pow.f64 (sqrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2/3)) 0) (/.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) 2)))) (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2/3)) (pow.f64 (sqrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2/3)))) (sqrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) 2)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) 0) (/.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) -1/2)) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) 2))) 0) (/.f64 (sqrt.f64 (sqrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) 2))) (pow.f64 (sqrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) 2)) -1/2)) (sqrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) 2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 4/3)) 0) (/.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 2/3) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))) (/.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 4/3)))) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) 2)) 4/3)) 0) (/.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2/3) (sqrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) 2)))) (/.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) 2)) 4/3)))) (sqrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) 2)))
(if (!=.f64 -1 0) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) (sqrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(if (!=.f64 -1 0) (sqrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) 2)) (sqrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) 2)))
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(.f64 (.f64 2 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(.f64 (cbrt.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) (cbrt.f64 (*.f64 4 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2))))
(cbrt.f64 (.f64 (.f64 4 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) (*.f64 (pow.f64 (/.f64 1 x) -2) 2)))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2))) (cbrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))
(cbrt.f64 (.f64 (.f64 4 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) (*.f64 (pow.f64 (/.f64 1 x) -2) 2)))
(.f64 (.f64 (*.f64 (pow.f64 (/.f64 1 x) -2) (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 4))) (cbrt.f64 (cbrt.f64 16)))
(.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (cbrt.f64 2)) (*.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (cbrt.f64 16))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)) (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 1 x) -2)))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) (.f64 2 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(.f64 (.f64 (*.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (*.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (cbrt.f64 2) (*.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2))))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (*.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 (sqrt.f64 2))))
(.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (cbrt.f64 2)) (cbrt.f64 4))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (/.f64 1 x) -2))
(.f64 (cbrt.f64 4) (.f64 (pow.f64 (/.f64 1 x) -2) (cbrt.f64 2)))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (/.f64 1 x) -2))
(.f64 (cbrt.f64 (.f64 (*.f64 8 (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2)))
(cbrt.f64 (.f64 (.f64 (*.f64 8 (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2))) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2)))
(.f64 1 (.f64 2 (pow.f64 (/.f64 1 x) -2)))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)) 1)
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(.f64 (neg.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) -1)
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(.f64 -1 (neg.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(.f64 -1 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2))) (*.f64 2 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)))))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)))) (cbrt.f64 (.f64 (.f64 8 (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (cbrt.f64 (pow.f64 (/.f64 1 x) -2)))) (cbrt.f64 (.f64 (.f64 8 (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2)) (cbrt.f64 (.f64 (*.f64 8 (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)))))
(cbrt.f64 (.f64 (.f64 (*.f64 8 (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2))) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2)) (+.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)))) (cbrt.f64 (*.f64 (pow.f64 (/.f64 1 x) -2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2)) (.f64 2 (cbrt.f64 (*.f64 (pow.f64 (/.f64 1 x) -2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2))))))
(.f64 -1 (pow.f64 (cbrt.f64 (neg.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)))) 3))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 (cbrt.f64 2))) 3) (cbrt.f64 4))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (/.f64 1 x) -2))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) 2) (cbrt.f64 2)) 3))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) (-.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)))) (.f64 2 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 0) (.f64 2 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 (.f64 (*.f64 4 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (.f64 4 (*.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2) 2))))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 x) -2)))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (/.f64 1 x) -2))
(.f64 (.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 2))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (/.f64 1 x) -2))
(.f64 (.f64 (*.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (*.f64 (sqrt.f64 2) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 2))
(.f64 (neg.f64 (.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 x) -2))) (cbrt.f64 -2))
(neg.f64 (.f64 (.f64 (cbrt.f64 -2) (cbrt.f64 4)) (pow.f64 (/.f64 1 x) -2)))
(.f64 (cbrt.f64 (cbrt.f64 2)) (.f64 (cbrt.f64 (cbrt.f64 4)) (*.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 x) -2))))
(.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2)) (sqrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2)))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(*.f64 (neg.f64 (pow.f64 (/.f64 1 x) -2)) -2)
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(*.f64 2 (pow.f64 (/.f64 1 x) -2))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(.f64 (/.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2)) 2) 2)
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(/.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2)) 1)
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(/.f64 (.f64 (neg.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 1) -1)
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(/.f64 (*.f64 (pow.f64 (/.f64 1 x) -2) -2) -1)
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(/.f64 (neg.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))) -1)
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(/.f64 (*.f64 -2 (pow.f64 (/.f64 1 x) -2)) -1)
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(/.f64 (pow.f64 (/.f64 1 x) -2) 1/2)
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(/.f64 (*.f64 (pow.f64 (/.f64 1 x) -2) 4) 2)
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(/.f64 (*.f64 4 (pow.f64 (/.f64 1 x) -2)) 2)
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(pow.f64 (*.f64 8 (pow.f64 (pow.f64 (/.f64 1 x) -2) 3)) 1/3)
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))) 3)
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(pow.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2)) 1)
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(neg.f64 (neg.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(neg.f64 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2)))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(neg.f64 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2))) (.f64 2 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)))))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(neg.f64 (.f64 (cbrt.f64 -4) (.f64 (pow.f64 (/.f64 1 x) -2) (cbrt.f64 2))))
(neg.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (.f64 (cbrt.f64 2) (cbrt.f64 -4))))
(neg.f64 (*.f64 -2 (pow.f64 (/.f64 1 x) -2)))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(neg.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2))))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 1 x) -2)) 2))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(neg.f64 (.f64 (cbrt.f64 -2) (.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 x) -2))))
(neg.f64 (.f64 (.f64 (cbrt.f64 -2) (cbrt.f64 4)) (pow.f64 (/.f64 1 x) -2)))
(neg.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) 2) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) -2)))))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(neg.f64 (.f64 (.f64 2 (cbrt.f64 (pow.f64 (/.f64 1 x) -2))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)))))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(neg.f64 (.f64 (cbrt.f64 (.f64 4 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2))) (cbrt.f64 (neg.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2))))))
(neg.f64 (cbrt.f64 (.f64 (.f64 4 (pow.f64 (pow.f64 (/.f64 1 x) -2) 2)) (*.f64 -2 (pow.f64 (/.f64 1 x) -2)))))
(neg.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 x) -2))) (cbrt.f64 2)))
(.f64 (neg.f64 (.f64 (cbrt.f64 4) (neg.f64 (pow.f64 (/.f64 1 x) -2)))) (cbrt.f64 2))
(neg.f64 (.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (cbrt.f64 2)) (cbrt.f64 -4)))
(neg.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (.f64 (cbrt.f64 2) (cbrt.f64 -4))))
(neg.f64 (.f64 (neg.f64 (.f64 2 (pow.f64 (/.f64 1 x) -2))) 1))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(neg.f64 (*.f64 (pow.f64 (/.f64 1 x) -2) -2))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(neg.f64 (.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2)) (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(neg.f64 (*.f64 2 (neg.f64 (pow.f64 (/.f64 1 x) -2))))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(neg.f64 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 -2)))
(.f64 (neg.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (*.f64 (sqrt.f64 2) (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 -2))
(neg.f64 (.f64 (.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 x) -2)) (cbrt.f64 -2)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -2) (cbrt.f64 4)) (pow.f64 (/.f64 1 x) -2)))
(neg.f64 (pow.f64 (cbrt.f64 (neg.f64 (*.f64 2 (pow.f64 (/.f64 1 x) -2)))) 3))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)
(cbrt.f64 (*.f64 8 (pow.f64 (pow.f64 (/.f64 1 x) -2) 3)))
(*.f64 (pow.f64 (/.f64 1 x) -2) 2)

localize74.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(!=.f64 (*.f64 (+.f64 x x) x) 0)
✓	0.3b	(/.f64 1 (pow.f64 (*.f64 (+.f64 x x) x) -1/2))
	0.5b	(*.f64 (sqrt.f64 2) (fabs.f64 x))
✓	28.9b	(pow.f64 (*.f64 (+.f64 x x) x) -1/2)

Compiler

Compiled 68 to 31 computations (54.4% saved)

series102.0ms (0.7%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	x	@	0	(pow.f64 (*.f64 (+.f64 x x) x) -1/2)
11.0ms	x	@	inf	(pow.f64 (*.f64 (+.f64 x x) x) -1/2)
1.0ms	x	@	0	(/.f64 1 (pow.f64 (*.f64 (+.f64 x x) x) -1/2))
1.0ms	x	@	inf	(/.f64 1 (pow.f64 (*.f64 (+.f64 x x) x) -1/2))
1.0ms	x	@	-inf	(pow.f64 (*.f64 (+.f64 x x) x) -1/2)

Compiler

Compiled 1990 to 1775 computations (10.8% saved)

rewrite111.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

49×	`egg-rr`
29×	`egg-rr`
1×	`egg-rr`

Counts

3 → 79

Calls

Call 1

Inputs
(pow.f64 (*.f64 (+.f64 x x) x) -1/2)
(/.f64 1 (pow.f64 (*.f64 (+.f64 x x) x) -1/2))
(!=.f64 (*.f64 (+.f64 x x) x) 0)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x !=.f64 (*.f64 (+.f64 x x) x) 0)))))

simplify397.0ms (2.9%)

Algorithm

1×

egglog

Counts

107 → 107

Calls

Call 1

Inputs
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x)))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x)))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x)))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x)))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -2 (log.f64 (/.f64 1 x))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -2 (log.f64 (/.f64 1 x))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -2 (log.f64 (/.f64 1 x))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -2 (log.f64 (/.f64 1 x))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -2 (log.f64 (/.f64 -1 x))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -2 (log.f64 (/.f64 -1 x))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -2 (log.f64 (/.f64 -1 x))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -2 (log.f64 (/.f64 -1 x))))))
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x))))))
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x))))))
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x))))))
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x))))))
(!=.f64 (*.f64 2 (pow.f64 x 2)) 0)
(!=.f64 (*.f64 2 (pow.f64 x 2)) 0)
(!=.f64 (*.f64 2 (pow.f64 x 2)) 0)
(!=.f64 (*.f64 2 (pow.f64 x 2)) 0)
(!=.f64 (/.f64 2 (pow.f64 (/.f64 1 x) 2)) 0)
(!=.f64 (/.f64 2 (pow.f64 (/.f64 1 x) 2)) 0)
(!=.f64 (/.f64 2 (pow.f64 (/.f64 1 x) 2)) 0)
(!=.f64 (/.f64 2 (pow.f64 (/.f64 1 x) 2)) 0)
(!=.f64 (/.f64 2 (pow.f64 (/.f64 -1 x) 2)) 0)
(!=.f64 (/.f64 2 (pow.f64 (/.f64 -1 x) 2)) 0)
(!=.f64 (/.f64 2 (pow.f64 (/.f64 -1 x) 2)) 0)
(!=.f64 (/.f64 2 (pow.f64 (/.f64 -1 x) 2)) 0)
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1))) (pow.f64 (.f64 (+.f64 x x) x) -1/2))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1) 2))) (pow.f64 (.f64 (+.f64 x x) x) -1/2))
(if (!=.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) 0) (/.f64 1 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1)) (pow.f64 (*.f64 (+.f64 x x) x) -1/2))
(if (!=.f64 1 0) (pow.f64 (.f64 (+.f64 x x) x) -1/2) (pow.f64 (.f64 (+.f64 x x) x) -1/2))
(-.f64 0 (neg.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2))) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2))) 2) 2))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2))) 2) (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2))) 2) 2) (cbrt.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2))))
(.f64 (cbrt.f64 (neg.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) 2))))
(.f64 -1 (/.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2)) -1) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) 2)) -1))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) 2)) -1) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2)) -1))
(.f64 (/.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1) -1)
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) 2)))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) 2)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2)))
(.f64 1 (pow.f64 (.f64 (+.f64 x x) x) -1/2))
(.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) 1)
(.f64 (neg.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2)) -1)
(.f64 -1 (neg.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2)))
(/.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) 1)
(/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1) -1)
(/.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2)) -1)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) 3) 1/3)
(pow.f64 (*.f64 (+.f64 x x) x) -1/2)
(pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2)) 3)
(neg.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) 3))
(if (!=.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) 0) (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1) (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1))
(if (!=.f64 (.f64 (+.f64 x x) x) 0) (hypot.f64 x x) (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1)) 0) (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1)))) (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1))
(if (!=.f64 -1 0) (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1) (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1))
(if (!=.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1) 0) (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1) -1)) (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2)) 0) (pow.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2)) -3) (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1))
(if (!=.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) 3) 0) (pow.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) 3) -1/3) (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1))
(if (!=.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1))) 2) 0) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1))) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1))) 2))) (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1))
(if (!=.f64 1 0) (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1) (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1))
(-.f64 (/.f64 0 (neg.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2))) (/.f64 -1 (pow.f64 (.f64 (+.f64 x x) x) -1/2)))
(-.f64 0 (/.f64 -1 (pow.f64 (*.f64 (+.f64 x x) x) -1/2)))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1)) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1))) 2) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1) 2))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1)) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2))) 2) 2)))
(.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1))) 1) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1))) 2) (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) 2))))
(.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1))) (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2))) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1))) 2) (cbrt.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2))))
(.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2))) (/.f64 1 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) 2)))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1) 2)) (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1))) 2) 2) (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2))) 2)) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2))) 2) 2)))
(.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2))) (/.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) 2))))
(.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) 2))) (/.f64 -1 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2))))
(.f64 (/.f64 1 (cbrt.f64 (neg.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2)))) (/.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) 2))))
(.f64 -1 (/.f64 -1 (pow.f64 (.f64 (+.f64 x x) x) -1/2)))
(.f64 1 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1) 1)
(.f64 (.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1) -1) -1)
(.f64 -1 (.f64 (/.f64 -1 (pow.f64 (*.f64 (+.f64 x x) x) -1/2)) 1))
(.f64 (/.f64 -1 (pow.f64 (.f64 (+.f64 x x) x) -1/2)) -1)
(/.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1) 2)) -1) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2))))
(/.f64 (.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1) 2))) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2))) 2) 2))
(/.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1)) (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) 2)))
(/.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1) 2)) (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2)))
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) 2))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) 2))))
(/.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1) 1)
(/.f64 1 (pow.f64 (*.f64 (+.f64 x x) x) -1/2))
(/.f64 -1 (/.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1))
(/.f64 -1 (neg.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2)))
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) 3) -1) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1)) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1)
(neg.f64 (/.f64 -1 (pow.f64 (*.f64 (+.f64 x x) x) -1/2)))
(neg.f64 (.f64 (/.f64 -1 (pow.f64 (.f64 (+.f64 x x) x) -1/2)) 1))
(neg.f64 (.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1) -1))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) 3) -1))
(!=.f64 (*.f64 (+.f64 x x) x) 0)

Outputs
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x)))))
(pow.f64 (exp.f64 -1/2) (fma.f64 (log.f64 x) 2 (log.f64 2)))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x)))))
(pow.f64 (exp.f64 -1/2) (fma.f64 (log.f64 x) 2 (log.f64 2)))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x)))))
(pow.f64 (exp.f64 -1/2) (fma.f64 (log.f64 x) 2 (log.f64 2)))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x)))))
(pow.f64 (exp.f64 -1/2) (fma.f64 (log.f64 x) 2 (log.f64 2)))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -2 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -2 (log.f64 (/.f64 1 x)) (log.f64 2)))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -2 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -2 (log.f64 (/.f64 1 x)) (log.f64 2)))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -2 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -2 (log.f64 (/.f64 1 x)) (log.f64 2)))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -2 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -2 (log.f64 (/.f64 1 x)) (log.f64 2)))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -2 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 -1/2) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 2)))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -2 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 -1/2) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 2)))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -2 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 -1/2) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 2)))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -2 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 -1/2) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 2)))
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x))))))
(exp.f64 (*.f64 1/2 (fma.f64 (log.f64 x) 2 (log.f64 2))))
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x))))))
(exp.f64 (*.f64 1/2 (fma.f64 (log.f64 x) 2 (log.f64 2))))
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x))))))
(exp.f64 (*.f64 1/2 (fma.f64 (log.f64 x) 2 (log.f64 2))))
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x))))))
(exp.f64 (*.f64 1/2 (fma.f64 (log.f64 x) 2 (log.f64 2))))
(!=.f64 (*.f64 2 (pow.f64 x 2)) 0)
(!=.f64 (.f64 2 (.f64 x x)) 0)
(!=.f64 (*.f64 2 (pow.f64 x 2)) 0)
(!=.f64 (.f64 2 (.f64 x x)) 0)
(!=.f64 (*.f64 2 (pow.f64 x 2)) 0)
(!=.f64 (.f64 2 (.f64 x x)) 0)
(!=.f64 (*.f64 2 (pow.f64 x 2)) 0)
(!=.f64 (.f64 2 (.f64 x x)) 0)
(!=.f64 (/.f64 2 (pow.f64 (/.f64 1 x) 2)) 0)
(!=.f64 (/.f64 2 (/.f64 (/.f64 1 x) x)) 0)
(!=.f64 (/.f64 2 (pow.f64 (/.f64 1 x) 2)) 0)
(!=.f64 (/.f64 2 (/.f64 (/.f64 1 x) x)) 0)
(!=.f64 (/.f64 2 (pow.f64 (/.f64 1 x) 2)) 0)
(!=.f64 (/.f64 2 (/.f64 (/.f64 1 x) x)) 0)
(!=.f64 (/.f64 2 (pow.f64 (/.f64 1 x) 2)) 0)
(!=.f64 (/.f64 2 (/.f64 (/.f64 1 x) x)) 0)
(!=.f64 (/.f64 2 (pow.f64 (/.f64 -1 x) 2)) 0)
(!=.f64 (/.f64 2 (/.f64 (/.f64 1 x) x)) 0)
(!=.f64 (/.f64 2 (pow.f64 (/.f64 -1 x) 2)) 0)
(!=.f64 (/.f64 2 (/.f64 (/.f64 1 x) x)) 0)
(!=.f64 (/.f64 2 (pow.f64 (/.f64 -1 x) 2)) 0)
(!=.f64 (/.f64 2 (/.f64 (/.f64 1 x) x)) 0)
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(pow.f64 (pow.f64 (.f64 2 (.f64 x x)) -1/2) -1)
(/.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1) 1)
(pow.f64 (pow.f64 (.f64 2 (.f64 x x)) -1/2) -1)
(/.f64 1 (pow.f64 (*.f64 (+.f64 x x) x) -1/2))
(pow.f64 (pow.f64 (.f64 2 (.f64 x x)) -1/2) -1)
(/.f64 -1 (/.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1))
(pow.f64 (pow.f64 (.f64 2 (.f64 x x)) -1/2) -1)
(/.f64 -1 (neg.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2)))
(pow.f64 (pow.f64 (.f64 2 (.f64 x x)) -1/2) -1)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) 3) -1) 1/3)
(pow.f64 (pow.f64 (.f64 2 (.f64 x x)) -1/2) -1)
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1)) 3)
(pow.f64 (pow.f64 (.f64 2 (.f64 x x)) -1/2) -1)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1) 1)
(pow.f64 (pow.f64 (.f64 2 (.f64 x x)) -1/2) -1)
(pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1)
(pow.f64 (pow.f64 (.f64 2 (.f64 x x)) -1/2) -1)
(neg.f64 (/.f64 -1 (pow.f64 (*.f64 (+.f64 x x) x) -1/2)))
(pow.f64 (pow.f64 (.f64 2 (.f64 x x)) -1/2) -1)
(neg.f64 (.f64 (/.f64 -1 (pow.f64 (.f64 (+.f64 x x) x) -1/2)) 1))
(pow.f64 (pow.f64 (.f64 2 (.f64 x x)) -1/2) -1)
(neg.f64 (.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1) -1))
(pow.f64 (pow.f64 (.f64 2 (.f64 x x)) -1/2) -1)
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) 3) -1))
(pow.f64 (pow.f64 (.f64 2 (.f64 x x)) -1/2) -1)
(!=.f64 (*.f64 (+.f64 x x) x) 0)
(!=.f64 (.f64 2 (.f64 x x)) 0)

eval1.7s (12.6%)

Compiler: Compiled 33542 to 23175 computations (30.9% saved)

prune304.0ms (2.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1239	3	1242
Fresh	2	0	2
Picked	1	0	1
Done	2	3	5
Total	1244	6	1250

Error

Counts

1250 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(if (!=.f64 (.f64 (+.f64 x x) x) 0) (if (!=.f64 (.f64 (+.f64 x x) x) 0) (hypot.f64 x x) (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1)) (.f64 (sqrt.f64 2) (fabs.f64 x)))
▶	32.5b	(/.f64 (+.f64 x x) (sqrt.f64 2))
✓	32.4b	(*.f64 (sqrt.f64 2) x)
✓	30.0b	(sqrt.f64 (.f64 2 (.f64 x x)))
▶	30.4b	(neg.f64 (/.f64 (+.f64 x x) (sqrt.f64 2)))
✓	30.5b	(neg.f64 (*.f64 (sqrt.f64 2) x))

Compiler

Compiled 67 to 43 computations (35.8% saved)

localize21.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (+.f64 x x) (sqrt.f64 2))

Compiler

Compiled 21 to 12 computations (42.9% saved)

series8.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 (+.f64 x x) (sqrt.f64 2))
1.0ms	x	@	-inf	(/.f64 (+.f64 x x) (sqrt.f64 2))
1.0ms	x	@	inf	(/.f64 (+.f64 x x) (sqrt.f64 2))

Compiler

Compiled 370 to 310 computations (16.2% saved)

rewrite100.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

153× egg-rr

Counts

1 → 153

Calls

Call 1

Inputs
(/.f64 (+.f64 x x) (sqrt.f64 2))

Outputs

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

simplify510.0ms (3.7%)

Algorithm

1×

egglog

Counts

165 → 176

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.4b	(/.f64 (+.f64 x x) (sqrt.f64 2))

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(!=.f64 (*.f64 (+.f64 x x) x) 0)
✓	0.3b	(pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1)
	0.5b	(*.f64 (sqrt.f64 2) (fabs.f64 x))
	28.9b	(pow.f64 (*.f64 (+.f64 x x) x) -1/2)

Compiler

Compiled 102 to 42 computations (58.8% saved)

series11.0ms (0.1%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1)
0.0ms	x	@	inf	(pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1)
0.0ms	x	@	-inf	(pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) -1/2) -1)

Compiler

Compiled 810 to 735 computations (9.3% saved)

rewrite268.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1063× egg-rr

Counts

1 → 1062

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 0)))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 -1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 -2 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 2 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 3/2 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 -1 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 1 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 -3 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/2 -2 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -3) (cbrt.f64 9) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 3 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 -3 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 1/2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 1/3 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 -1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 -2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 27 -27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 27) (sqrt.f64 27) -27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 27)) (neg.f64 (sqrt.f64 27)) -27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 27 1 -27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 9 -27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 3 -27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 -2 -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 4 -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (+.f64 (cbrt.f64 9) 1) (cbrt.f64 3)) (+.f64 (cbrt.f64 3) 1) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 2 -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 16) (cbrt.f64 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 1 -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 4) (cbrt.f64 16) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (+.f64 1 (cbrt.f64 9)) (cbrt.f64 3)) (+.f64 (cbrt.f64 3) 1) -4)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 2 0) 0 0)))) 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0 (cbrt.f64 (cbrt.f64 1/16)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 1/2) 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 3/2 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 -1/4) 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (cbrt.f64 (cbrt.f64 1/16)) (cbrt.f64 1/2)) 0) (/.f64 (cbrt.f64 (cbrt.f64 1/4)) (/.f64 0 (*.f64 (cbrt.f64 (cbrt.f64 1/16)) (cbrt.f64 1/2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (cbrt.f64 -1/4)) 0) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/64 -1/2))) (/.f64 0 (cbrt.f64 (cbrt.f64 -1/4)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1/3 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (cbrt.f64 1/4)) 0) (/.f64 (*.f64 (cbrt.f64 -1/4) (cbrt.f64 (cbrt.f64 -1/2))) (/.f64 0 (cbrt.f64 (cbrt.f64 1/4)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (sqrt.f64 1/2)) 0) (/.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 0 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0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 -9) 0) (*.f64 (/.f64 0 (cbrt.f64 -1/3)) (cbrt.f64 -9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1/3 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1/4 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1/8 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 8 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 4 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 13 0) (*.f64 (/.f64 0 -26) 13) 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -3/2 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 9 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 3) 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 2) 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 1/2) 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -6 0) 0 0)))) (#(struct:change #<rule egg-rr> 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0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 9) 0) (/.f64 0 (+.f64 (cbrt.f64 81) (+.f64 (cbrt.f64 81) (cbrt.f64 81)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 1/4 (+.f64 1/4 1/4)) 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 81 (+.f64 81 81)) 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 1/9 (+.f64 1/9 1/9)) 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 36 (+.f64 36 36)) 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 9/4 (+.f64 9/4 9/4)) 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 729 (+.f64 729 729)) 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 16 (+.f64 16 16)) 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (cbrt.f64 81) (+.f64 (cbrt.f64 81) (cbrt.f64 81))) 0) (/.f64 0 (+.f64 (cbrt.f64 81) (+.f64 (cbrt.f64 81) (cbrt.f64 81)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (cbrt.f64 9) (*.f64 2 (cbrt.f64 9))) 0) 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 1 (pow.f64 0 -3/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 1 (pow.f64 0 -1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (pow.f64 0 -1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (pow.f64 0 -3/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (pow.f64 0 -1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (pow.f64 0 -12) 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (pow.f64 0 -2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (pow.f64 0 (neg.f64 3/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 3)) (sqrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 3) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 (sqrt.f64 (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 (sqrt.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 (cbrt.f64 -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 (cbrt.f64 (cbrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 (cbrt.f64 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 (cbrt.f64 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 (cbrt.f64 (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 (cbrt.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (cbrt.f64 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sqrt.f64 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (cbrt.f64 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 12)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 (*.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 (*.f64 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 (*.f64 2 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 (*.f64 2 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 (/.f64 1/6 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 (/.f64 2/3 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 0 (/.f64 3/4 2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 0)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 0)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 0 81))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 0 36))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 0 16))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 0)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 27/8 0))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 0 27/8))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 0)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 0)))))

simplify661.0ms (4.8%)

Algorithm

1×

egglog

Counts

1066 → 1092

Calls

Call 1

Inputs
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x))))))
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x))))))
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x))))))
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x))))))
0
(fma.f64 1 0 0)
(fma.f64 0 0 0)
(fma.f64 -1 0 0)
(fma.f64 0 1 0)
(fma.f64 2 0 0)
(fma.f64 1 1 -1)
(fma.f64 -1 -1 -1)
(fma.f64 0 -1 0)
(fma.f64 4 0 0)
(fma.f64 0 3 0)
(fma.f64 0 -2 0)
(fma.f64 0 2 0)
(fma.f64 3 0 0)
(fma.f64 -2 0 0)
(fma.f64 -2 3/2 3)
(fma.f64 3 -1 3)
(fma.f64 -3 1 3)
(fma.f64 1 -3 3)
(fma.f64 3/2 -2 3)
(fma.f64 (cbrt.f64 -3) (cbrt.f64 9) 3)
(fma.f64 -1 3 3)
(fma.f64 1/3 -3 1)
(fma.f64 -2 1/2 1)
(fma.f64 -3 1/3 1)
(fma.f64 1 -1 1)
(fma.f64 1/2 -2 1)
(fma.f64 -1 1 1)
(fma.f64 1 27 -27)
(fma.f64 (sqrt.f64 27) (sqrt.f64 27) -27)
(fma.f64 (neg.f64 (sqrt.f64 27)) (neg.f64 (sqrt.f64 27)) -27)
(fma.f64 27 1 -27)
(fma.f64 3 9 -27)
(fma.f64 9 3 -27)
(fma.f64 -2 -2 -4)
(fma.f64 1 4 -4)
(fma.f64 (-.f64 (+.f64 (cbrt.f64 9) 1) (cbrt.f64 3)) (+.f64 (cbrt.f64 3) 1) -4)
(fma.f64 2 2 -4)
(fma.f64 (cbrt.f64 16) (cbrt.f64 4) -4)
(fma.f64 4 1 -4)
(fma.f64 (cbrt.f64 4) (cbrt.f64 16) -4)
(fma.f64 (-.f64 (+.f64 1 (cbrt.f64 9)) (cbrt.f64 3)) (+.f64 (cbrt.f64 3) 1) -4)
(if (!=.f64 -1 0) 0 0)
(if (!=.f64 1 0) 0 0)
(if (!=.f64 2 0) 0 0)
(if (!=.f64 (cbrt.f64 2) 0) 0 0)
(if (!=.f64 -2 0) 0 0)
(if (!=.f64 6 0) 0 0)
(if (!=.f64 3 0) 0 0)
(if (!=.f64 27 0) 0 0)
(if (!=.f64 (cbrt.f64 (pow.f64 1/4 4/3)) 0) (/.f64 (cbrt.f64 (cbrt.f64 1/2)) (/.f64 0 (cbrt.f64 (pow.f64 1/4 4/3)))) 0)
(if (!=.f64 (cbrt.f64 -1/2) 0) (/.f64 (cbrt.f64 -1/4) 0) 0)
(if (!=.f64 (neg.f64 (cbrt.f64 (cbrt.f64 1/16))) 0) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 -1/8 1/4))) (/.f64 0 (neg.f64 (cbrt.f64 (cbrt.f64 1/16))))) 0)
(if (!=.f64 1/2 0) 0 0)
(if (!=.f64 (cbrt.f64 (cbrt.f64 1/16)) 0) (/.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 (cbrt.f64 -1/4))) (/.f64 0 (cbrt.f64 (cbrt.f64 1/16)))) 0)
(if (!=.f64 (sqrt.f64 1/2) 0) 0 0)
(if (!=.f64 3/2 0) 0 0)
(if (!=.f64 (cbrt.f64 -1/4) 0) 0 0)
(if (!=.f64 (.f64 (cbrt.f64 (cbrt.f64 1/16)) (cbrt.f64 1/2)) 0) (/.f64 (cbrt.f64 (cbrt.f64 1/4)) (/.f64 0 (.f64 (cbrt.f64 (cbrt.f64 1/16)) (cbrt.f64 1/2)))) 0)
(if (!=.f64 (cbrt.f64 (cbrt.f64 -1/4)) 0) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/64 -1/2))) (/.f64 0 (cbrt.f64 (cbrt.f64 -1/4)))) 0)
(if (!=.f64 1/3 0) 0 0)
(if (!=.f64 (cbrt.f64 (cbrt.f64 1/4)) 0) (/.f64 (*.f64 (cbrt.f64 -1/4) (cbrt.f64 (cbrt.f64 -1/2))) (/.f64 0 (cbrt.f64 (cbrt.f64 1/4)))) 0)
(if (!=.f64 (neg.f64 (sqrt.f64 1/2)) 0) (/.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 0 (neg.f64 (sqrt.f64 1/2)))) 0)
(if (!=.f64 (cbrt.f64 1/2) 0) (/.f64 (cbrt.f64 1/4) 0) 0)
(if (!=.f64 (cbrt.f64 (.f64 (cbrt.f64 1/16) -1/2)) 0) (/.f64 (cbrt.f64 (cbrt.f64 -1/4)) (/.f64 0 (cbrt.f64 (.f64 (cbrt.f64 1/16) -1/2)))) 0)
(if (!=.f64 -1/2 0) 0 0)
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 1/4 4/3))) 0) (/.f64 (cbrt.f64 (cbrt.f64 -1/2)) (/.f64 0 (neg.f64 (cbrt.f64 (pow.f64 1/4 4/3))))) 0)
(if (!=.f64 (cbrt.f64 1/4) 0) 0 0)
(if (!=.f64 -3 0) 0 0)
(if (!=.f64 (cbrt.f64 9) 0) 0 0)
(if (!=.f64 (neg.f64 (sqrt.f64 3)) 0) (*.f64 (/.f64 0 (neg.f64 (sqrt.f64 1/3))) (neg.f64 (sqrt.f64 3))) 0)
(if (!=.f64 (sqrt.f64 3) 0) 0 0)
(if (!=.f64 (cbrt.f64 -9) 0) (*.f64 (/.f64 0 (cbrt.f64 -1/3)) (cbrt.f64 -9)) 0)
(if (!=.f64 -1/3 0) 0 0)
(if (!=.f64 1/4 0) 0 0)
(if (!=.f64 1/8 0) 0 0)
(if (!=.f64 8 0) 0 0)
(if (!=.f64 4 0) 0 0)
(if (!=.f64 13 0) (*.f64 (/.f64 0 -26) 13) 0)
(if (!=.f64 -3/2 0) 0 0)
(if (!=.f64 9 0) 0 0)
(if (!=.f64 (cbrt.f64 3) 0) 0 0)
(if (!=.f64 (sqrt.f64 2) 0) 0 0)
(if (!=.f64 (cbrt.f64 1/2) 0) 0 0)
(if (!=.f64 -6 0) 0 0)
(if (!=.f64 -4 0) 0 0)
(if (!=.f64 (.f64 2 (sqrt.f64 3)) 0) (/.f64 0 (.f64 2 (sqrt.f64 3))) 0)
(if (!=.f64 (neg.f64 (.f64 2 (sqrt.f64 3))) 0) (/.f64 0 (neg.f64 (.f64 2 (sqrt.f64 3)))) 0)
(if (!=.f64 18 0) 0 0)
(if (!=.f64 (+.f64 -1/3 -1/3) 0) (/.f64 0 (+.f64 -1/3 -1/3)) 0)
(if (!=.f64 12 0) 0 0)
(if (!=.f64 2/3 0) 0 0)
(if (!=.f64 54 0) 0 0)
(if (!=.f64 (.f64 2 (cbrt.f64 9)) 0) (/.f64 (-.f64 (cbrt.f64 81) (cbrt.f64 81)) (.f64 2 (cbrt.f64 9))) 0)
(if (!=.f64 (.f64 2 (cbrt.f64 3)) 0) (/.f64 0 (.f64 2 (cbrt.f64 3))) 0)
(if (!=.f64 (neg.f64 (sqrt.f64 3)) 0) 0 0)
(if (!=.f64 (cbrt.f64 9) 0) (/.f64 0 (+.f64 (cbrt.f64 81) (+.f64 (cbrt.f64 81) (cbrt.f64 81)))) 0)
(if (!=.f64 (+.f64 1/4 (+.f64 1/4 1/4)) 0) 0 0)
(if (!=.f64 (+.f64 81 (+.f64 81 81)) 0) 0 0)
(if (!=.f64 (+.f64 1/9 (+.f64 1/9 1/9)) 0) 0 0)
(if (!=.f64 (+.f64 36 (+.f64 36 36)) 0) 0 0)
(if (!=.f64 (+.f64 9/4 (+.f64 9/4 9/4)) 0) 0 0)
(if (!=.f64 (+.f64 729 (+.f64 729 729)) 0) 0 0)
(if (!=.f64 (+.f64 16 (+.f64 16 16)) 0) 0 0)
(if (!=.f64 0 0) 0 0)
(if (!=.f64 (+.f64 (cbrt.f64 81) (+.f64 (cbrt.f64 81) (cbrt.f64 81))) 0) (/.f64 0 (+.f64 (cbrt.f64 81) (+.f64 (cbrt.f64 81) (cbrt.f64 81)))) 0)
(if (!=.f64 (+.f64 (cbrt.f64 9) (*.f64 2 (cbrt.f64 9))) 0) 0 0)
(if (!=.f64 0 0) (/.f64 1 (pow.f64 0 -3/2)) 0)
(if (!=.f64 0 0) (/.f64 1 (pow.f64 0 -1/3)) 0)
(if (!=.f64 0 0) (pow.f64 0 -1/3) 0)
(if (!=.f64 0 0) (pow.f64 0 -3/2) 0)
(if (!=.f64 0 0) 1 0)
(if (!=.f64 0 0) (pow.f64 0 -1/6) 0)
(if (!=.f64 0 0) (pow.f64 0 -12) 0)
(if (!=.f64 0 0) (pow.f64 0 -2/3) 0)
(if (!=.f64 0 0) (pow.f64 0 (neg.f64 3/4)) 0)
(+.f64 (neg.f64 (sqrt.f64 3)) (sqrt.f64 3))
(+.f64 (sqrt.f64 3) (neg.f64 (sqrt.f64 3)))
(+.f64 2 -2)
(+.f64 -2 2)
(+.f64 -1 1)
(+.f64 1 -1)
(+.f64 -3 3)
(+.f64 3 -3)
(+.f64 -1/2 1/2)
(+.f64 6 -6)
(+.f64 4 -4)
(+.f64 9 -9)
(+.f64 8 -8)
(+.f64 3/2 -3/2)
(+.f64 1/2 -1/2)
(+.f64 1/3 -1/3)
(+.f64 -1/3 1/3)
(+.f64 -3/2 3/2)
(+.f64 -9 9)
(+.f64 -4 4)
(+.f64 -6 6)
(+.f64 -5/2 5/2)
(+.f64 (cbrt.f64 3) (cbrt.f64 -3))
(+.f64 27 -27)
(+.f64 (cbrt.f64 9) (cbrt.f64 -9))
(+.f64 (log.f64 1/3) (log.f64 3))
(+.f64 (log.f64 1/2) (log.f64 2))
(+.f64 (log.f64 2) (log.f64 1/2))
(+.f64 (log.f64 3) (log.f64 1/3))
(+.f64 0 0)
(-.f64 0 0)
(-.f64 (neg.f64 (sqrt.f64 3)) (neg.f64 (sqrt.f64 3)))
(-.f64 (cbrt.f64 9) (cbrt.f64 9))
(-.f64 (sqrt.f64 3) (sqrt.f64 3))
(-.f64 (cbrt.f64 3) (cbrt.f64 3))
(-.f64 27 27)
(-.f64 9 9)
(-.f64 6 6)
(-.f64 4 4)
(-.f64 -2 -2)
(-.f64 -1 -1)
(-.f64 1 1)
(-.f64 3 3)
(-.f64 2 2)
(-.f64 -1/3 -1/3)
(-.f64 -1/2 -1/2)
(-.f64 1/3 1/3)
(-.f64 1/2 1/2)
(-.f64 -3 -3)
(-.f64 3/2 3/2)
(-.f64 8 8)
(-.f64 (-.f64 9 8) 1)
(-.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))
(-.f64 (sqrt.f64 1/3) (sqrt.f64 1/3))
(-.f64 (sqrt.f64 1/2) (sqrt.f64 1/2))
(-.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
(-.f64 (cbrt.f64 2) (cbrt.f64 2))
(-.f64 0 (/.f64 5/2 0))
(-.f64 0 (/.f64 -3/2 0))
(-.f64 -2/3 -2/3)
(-.f64 1/9 1/9)
(-.f64 1/8 1/8)
(-.f64 2/3 2/3)
(-.f64 1/6 1/6)
(-.f64 1/4 1/4)
(-.f64 1/27 1/27)
(-.f64 -6 -6)
(-.f64 (/.f64 -3 9) (/.f64 -3 9))
(-.f64 (/.f64 -3 (cbrt.f64 3)) (/.f64 -3 (cbrt.f64 3)))
(-.f64 (/.f64 -3 8) (/.f64 -3 8))
(-.f64 -3/2 -3/2)
(-.f64 (/.f64 -3 (sqrt.f64 2)) (/.f64 -3 (sqrt.f64 2)))
(-.f64 -9 -9)
(-.f64 (/.f64 -3 4) (/.f64 -3 4))
(-.f64 (/.f64 -3 27) (/.f64 -3 27))
(-.f64 (/.f64 -3 (sqrt.f64 3)) (/.f64 -3 (sqrt.f64 3)))
(-.f64 (/.f64 -3 (cbrt.f64 2)) (/.f64 -3 (cbrt.f64 2)))
(-.f64 (/.f64 -3 (cbrt.f64 1/2)) (/.f64 -3 (cbrt.f64 1/2)))
(-.f64 (/.f64 1/2 -3) (/.f64 1/2 -3))
(-.f64 (/.f64 1/2 -3/2) (/.f64 1/2 -3/2))
(-.f64 (/.f64 1/2 9) (/.f64 1/2 9))
(-.f64 (/.f64 1/2 (cbrt.f64 3)) (/.f64 1/2 (cbrt.f64 3)))
(-.f64 -1/4 -1/4)
(-.f64 (/.f64 1/2 8) (/.f64 1/2 8))
(-.f64 (log.f64 1/2) (log.f64 1/2))
(-.f64 (log.f64 2) (log.f64 2))
(-.f64 (log.f64 3) (log.f64 3))
(-.f64 (log.f64 7) (log.f64 7))
(*.f64 0 0)
(*.f64 (cbrt.f64 (sqrt.f64 2)) 0)
(*.f64 (cbrt.f64 (cbrt.f64 2)) 0)
(*.f64 (cbrt.f64 -2) 0)
(*.f64 (cbrt.f64 2) 0)
(*.f64 0 (cbrt.f64 2))
(*.f64 -1 0)
(*.f64 0 -1)
(*.f64 0 (sqrt.f64 2))
(*.f64 0 (cbrt.f64 4))
(*.f64 (sqrt.f64 2) 0)
(*.f64 (cbrt.f64 4) 0)
(*.f64 8 0)
(*.f64 512 0)
(*.f64 0 8)
(*.f64 0 3)
(*.f64 0 1)
(*.f64 -2 0)
(*.f64 4 0)
(*.f64 0 4)
(*.f64 1 0)
(*.f64 0 2)
(*.f64 2 0)
(*.f64 0 -2)
(*.f64 3 0)
(*.f64 1/2 0)
(*.f64 0 1/3)
(*.f64 0 1/2)
(*.f64 0 9)
(*.f64 0 -3)
(*.f64 0 7)
(*.f64 3/2 0)
(*.f64 9 0)
(*.f64 -3 0)
(*.f64 -1/2 0)
(*.f64 (neg.f64 (sqrt.f64 2)) 0)
(*.f64 0 (neg.f64 (sqrt.f64 2)))
(*.f64 0 (cbrt.f64 -4))
(*.f64 -4 0)
(*.f64 (cbrt.f64 16) 0)
(*.f64 0 64)
(*.f64 64 0)
(*.f64 (neg.f64 (sqrt.f64 3)) 0)
(*.f64 (sqrt.f64 3) 0)
(*.f64 (sqrt.f64 1/2) 0)
(*.f64 (sqrt.f64 8) 0)
(*.f64 0 (neg.f64 (sqrt.f64 3)))
(*.f64 0 (sqrt.f64 3))
(.f64 (neg.f64 (.f64 2 (sqrt.f64 3))) 0)
(.f64 0 (neg.f64 (.f64 2 (sqrt.f64 3))))
(.f64 0 (.f64 2 (sqrt.f64 3)))
(.f64 (.f64 2 (sqrt.f64 3)) 0)
(*.f64 0 (cbrt.f64 -2))
(*.f64 0 27)
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(/.f64 (+.f64 (.f64 -2 (exp.f64 3)) (.f64 2 (exp.f64 3))) (*.f64 2 (exp.f64 3)))
(/.f64 (+.f64 (exp.f64 3) (.f64 -1 (exp.f64 3))) (.f64 -1 (exp.f64 3)))
(/.f64 (+.f64 (.f64 2 (exp.f64 3)) (.f64 -2 (exp.f64 3))) (*.f64 -2 (exp.f64 3)))
(/.f64 (+.f64 (*.f64 -1 (exp.f64 3)) (exp.f64 3)) (exp.f64 3))
(/.f64 (-.f64 (.f64 7 7) (.f64 7 7)) (*.f64 7 7))
(/.f64 (-.f64 (.f64 7 2) (.f64 7 2)) (*.f64 7 2))
(/.f64 (-.f64 (.f64 7 -1/2) (.f64 7 -1/2)) (*.f64 7 -1/2))
(/.f64 (-.f64 7/2 7/2) 7/2)
(/.f64 (-.f64 (.f64 7 (exp.f64 -1)) (.f64 7 (exp.f64 -1))) (*.f64 7 (exp.f64 -1)))
(/.f64 (-.f64 (.f64 7 (E.f64)) (.f64 7 (E.f64))) (*.f64 7 (E.f64)))
(/.f64 (-.f64 (.f64 7 (exp.f64 3)) (.f64 7 (exp.f64 3))) (*.f64 7 (exp.f64 3)))
(/.f64 (-.f64 (.f64 7 3) (.f64 7 3)) (*.f64 7 3))
(/.f64 (-.f64 (.f64 7 -1) (.f64 7 -1)) (*.f64 7 -1))
(/.f64 (-.f64 (.f64 2 7) (.f64 2 7)) (*.f64 2 7))
(/.f64 (-.f64 (.f64 2 (exp.f64 -1)) (.f64 2 (exp.f64 -1))) (*.f64 2 (exp.f64 -1)))
(/.f64 (-.f64 (.f64 2 (E.f64)) (.f64 2 (E.f64))) (*.f64 2 (E.f64)))
(/.f64 (-.f64 (.f64 2 (exp.f64 3)) (.f64 2 (exp.f64 3))) (*.f64 2 (exp.f64 3)))
(/.f64 (-.f64 (.f64 -1/2 7) (.f64 -1/2 7)) (*.f64 -1/2 7))
(/.f64 (-.f64 (.f64 -1/2 (exp.f64 -1)) (.f64 -1/2 (exp.f64 -1))) (*.f64 -1/2 (exp.f64 -1)))
(/.f64 (-.f64 (.f64 -1/2 (E.f64)) (.f64 -1/2 (E.f64))) (*.f64 -1/2 (E.f64)))
(/.f64 (-.f64 (.f64 -1/2 (exp.f64 3)) (.f64 -1/2 (exp.f64 3))) (*.f64 -1/2 (exp.f64 3)))
(/.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/2 (exp.f64 -1))) (*.f64 1/2 (exp.f64 -1)))
(/.f64 (-.f64 (.f64 1/2 (E.f64)) (.f64 1/2 (E.f64))) (*.f64 1/2 (E.f64)))
(/.f64 (-.f64 (.f64 1/2 (exp.f64 3)) (.f64 1/2 (exp.f64 3))) (*.f64 1/2 (exp.f64 3)))
(/.f64 (-.f64 (.f64 (exp.f64 -1) 7) (.f64 (exp.f64 -1) 7)) (*.f64 (exp.f64 -1) 7))
(/.f64 (-.f64 (.f64 (exp.f64 -1) 2) (.f64 (exp.f64 -1) 2)) (*.f64 (exp.f64 -1) 2))
(/.f64 (-.f64 (.f64 (exp.f64 -1) -1/2) (.f64 (exp.f64 -1) -1/2)) (*.f64 (exp.f64 -1) -1/2))
(/.f64 (-.f64 (.f64 (exp.f64 -1) 1/2) (.f64 (exp.f64 -1) 1/2)) (*.f64 (exp.f64 -1) 1/2))
(/.f64 (-.f64 (exp.f64 -2) (exp.f64 -2)) (exp.f64 -2))
(/.f64 (-.f64 (exp.f64 2) (exp.f64 2)) (exp.f64 2))
(/.f64 (-.f64 (.f64 (exp.f64 -1) 3) (.f64 (exp.f64 -1) 3)) (*.f64 (exp.f64 -1) 3))
(/.f64 (-.f64 (.f64 (exp.f64 -1) -1) (.f64 (exp.f64 -1) -1)) (*.f64 (exp.f64 -1) -1))
(/.f64 (-.f64 (.f64 (E.f64) 7) (.f64 (E.f64) 7)) (*.f64 (E.f64) 7))
(/.f64 (-.f64 (.f64 (E.f64) 2) (.f64 (E.f64) 2)) (*.f64 (E.f64) 2))
(/.f64 (-.f64 (.f64 (E.f64) -1/2) (.f64 (E.f64) -1/2)) (*.f64 (E.f64) -1/2))
(/.f64 (-.f64 (.f64 (E.f64) 1/2) (.f64 (E.f64) 1/2)) (*.f64 (E.f64) 1/2))
(/.f64 (-.f64 (.f64 (E.f64) (exp.f64 3)) (.f64 (E.f64) (exp.f64 3))) (*.f64 (E.f64) (exp.f64 3)))
(/.f64 (-.f64 (.f64 (E.f64) 3) (.f64 (E.f64) 3)) (*.f64 (E.f64) 3))
(/.f64 (-.f64 (.f64 (E.f64) -1) (.f64 (E.f64) -1)) (*.f64 (E.f64) -1))
(/.f64 (-.f64 (.f64 (exp.f64 3) 7) (.f64 (exp.f64 3) 7)) (*.f64 (exp.f64 3) 7))
(/.f64 (-.f64 (.f64 (exp.f64 3) 2) (.f64 (exp.f64 3) 2)) (*.f64 (exp.f64 3) 2))
(/.f64 (-.f64 (.f64 (exp.f64 3) -1/2) (.f64 (exp.f64 3) -1/2)) (*.f64 (exp.f64 3) -1/2))
(/.f64 (-.f64 (.f64 (exp.f64 3) 1/2) (.f64 (exp.f64 3) 1/2)) (*.f64 (exp.f64 3) 1/2))
(/.f64 (-.f64 (.f64 (exp.f64 3) (E.f64)) (.f64 (exp.f64 3) (E.f64))) (*.f64 (exp.f64 3) (E.f64)))
(/.f64 (-.f64 (.f64 (exp.f64 3) (exp.f64 3)) (.f64 (exp.f64 3) (exp.f64 3))) (*.f64 (exp.f64 3) (exp.f64 3)))
(/.f64 (-.f64 (.f64 (exp.f64 3) 3) (.f64 (exp.f64 3) 3)) (*.f64 (exp.f64 3) 3))
(/.f64 (-.f64 (.f64 (exp.f64 3) -1) (.f64 (exp.f64 3) -1)) (*.f64 (exp.f64 3) -1))
(/.f64 (-.f64 (.f64 3 7) (.f64 3 7)) (*.f64 3 7))
(/.f64 (-.f64 (.f64 3 (exp.f64 -1)) (.f64 3 (exp.f64 -1))) (*.f64 3 (exp.f64 -1)))
(/.f64 (-.f64 (.f64 3 (E.f64)) (.f64 3 (E.f64))) (*.f64 3 (E.f64)))
(/.f64 (-.f64 (.f64 3 (exp.f64 3)) (.f64 3 (exp.f64 3))) (*.f64 3 (exp.f64 3)))
(/.f64 (-.f64 (.f64 -1 7) (.f64 -1 7)) (*.f64 -1 7))
(/.f64 (-.f64 (.f64 -1 (exp.f64 -1)) (.f64 -1 (exp.f64 -1))) (*.f64 -1 (exp.f64 -1)))
(/.f64 (-.f64 (.f64 -1 (E.f64)) (.f64 -1 (E.f64))) (*.f64 -1 (E.f64)))
(/.f64 (-.f64 (.f64 -1 (exp.f64 3)) (.f64 -1 (exp.f64 3))) (*.f64 -1 (exp.f64 3)))
(/.f64 (*.f64 -2 (cbrt.f64 -2)) 0)
(/.f64 (*.f64 2 (cbrt.f64 -2)) 0)
(/.f64 (*.f64 1/2 (cbrt.f64 -2)) 0)
(/.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 -2)) 0)
(/.f64 0 (*.f64 -3 (cbrt.f64 1/2)))
(/.f64 0 (*.f64 -3/2 (cbrt.f64 1/2)))
(/.f64 0 (cbrt.f64 1/16))
(/.f64 0 (*.f64 9 (cbrt.f64 1/2)))
(/.f64 0 (*.f64 (cbrt.f64 3) (cbrt.f64 1/2)))
(/.f64 0 (*.f64 -2 (cbrt.f64 1/2)))
(/.f64 0 (*.f64 8 (cbrt.f64 1/2)))
(/.f64 0 (*.f64 3/2 (cbrt.f64 1/2)))
(/.f64 0 (*.f64 6 (cbrt.f64 1/2)))
(/.f64 0 (*.f64 2 (cbrt.f64 1/2)))
(/.f64 0 (*.f64 (sqrt.f64 2) (cbrt.f64 1/2)))
(/.f64 0 (neg.f64 (cbrt.f64 1/16)))
(/.f64 0 (*.f64 3 (cbrt.f64 1/2)))
(/.f64 0 (*.f64 1/3 (cbrt.f64 1/2)))
(/.f64 0 (*.f64 4 (cbrt.f64 1/2)))
(/.f64 0 (*.f64 27 (cbrt.f64 1/2)))
(/.f64 0 (*.f64 (sqrt.f64 3) (cbrt.f64 1/2)))
(/.f64 (*.f64 -2 (cbrt.f64 2)) 0)
(/.f64 (*.f64 2 (cbrt.f64 2)) 0)
(/.f64 (*.f64 1/2 (cbrt.f64 2)) 0)
(/.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 2)) 0)
(/.f64 -18 0)
(/.f64 18 0)
(/.f64 9/2 0)
(/.f64 (*.f64 (cbrt.f64 1/2) 9) 0)
(/.f64 (*.f64 (sqrt.f64 1/2) 9) 0)
(/.f64 -9 0)
(/.f64 -6 0)
(/.f64 0 1/6)
(/.f64 0 (*.f64 (cbrt.f64 3) 1/3))
(/.f64 0 (*.f64 8 1/3))
(/.f64 0 (*.f64 (sqrt.f64 2) 1/3))
(/.f64 0 (*.f64 -1/2 1/3))
(/.f64 0 4/3)
(/.f64 0 (*.f64 (cbrt.f64 2) 1/3))
(/.f64 (*.f64 (cbrt.f64 1/2) 3) 0)
(/.f64 (*.f64 (sqrt.f64 1/2) 3) 0)
(/.f64 (*.f64 -2 (sqrt.f64 2)) 0)
(/.f64 0 (sqrt.f64 (cbrt.f64 3)))
(/.f64 0 (sqrt.f64 3/2))
(/.f64 0 (sqrt.f64 6))
(/.f64 0 (sqrt.f64 (sqrt.f64 2)))
(/.f64 (sqrt.f64 (sqrt.f64 1/2)) 0)
(/.f64 0 (sqrt.f64 (sqrt.f64 3)))
(/.f64 0 (sqrt.f64 (cbrt.f64 2)))
(/.f64 0 (cbrt.f64 -3/2))
(/.f64 0 (cbrt.f64 (cbrt.f64 3)))
(/.f64 0 (cbrt.f64 3/2))
(/.f64 0 (cbrt.f64 6))
(/.f64 0 (cbrt.f64 (sqrt.f64 2)))
(/.f64 0 (cbrt.f64 (sqrt.f64 3)))
(/.f64 0 (cbrt.f64 (cbrt.f64 2)))
(/.f64 (cbrt.f64 (cbrt.f64 1/2)) 0)
(/.f64 (cbrt.f64 (sqrt.f64 1/2)) 0)
(/.f64 (cbrt.f64 (cbrt.f64 4)) 0)
(pow.f64 0 1/3)
(pow.f64 0 -1)
(pow.f64 0 -1/2)
(pow.f64 0 3)
(pow.f64 0 1)
(pow.f64 0 1/2)
(pow.f64 0 2)
(pow.f64 0 6)
(pow.f64 0 3/2)
(pow.f64 0 -2)
(pow.f64 0 2/3)
(pow.f64 0 4)
(pow.f64 0 12)
(pow.f64 0 1/6)
(pow.f64 0 3/4)
(pow.f64 0 1/4)
(pow.f64 0 (*.f64 2 1/6))
(pow.f64 0 (*.f64 2 12))
(pow.f64 0 (*.f64 2 2/3))
(pow.f64 0 -4)
(pow.f64 0 (*.f64 2 3/4))
(pow.f64 0 8)
(pow.f64 0 (/.f64 1/6 2))
(pow.f64 0 1/8)
(pow.f64 0 (/.f64 2/3 2))
(pow.f64 0 -1/4)
(pow.f64 0 (/.f64 3/4 2))
(hypot.f64 0 0)
(neg.f64 0)
(sqrt.f64 0)
(sqrt.f64 (/.f64 0 81))
(sqrt.f64 (/.f64 0 36))
(sqrt.f64 (/.f64 0 16))
(cbrt.f64 0)
(cbrt.f64 (*.f64 27/8 0))
(cbrt.f64 (*.f64 0 27/8))
(fabs.f64 0)
(log.f64 1)
(expm1.f64 0)
(log1p.f64 0)

Outputs
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x))))))
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x))))))
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x))))))
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 2 (log.f64 x))))))
0
(fma.f64 1 0 0)
(fma.f64 0 0 0)
(fma.f64 -1 0 0)
(fma.f64 0 1 0)
(fma.f64 2 0 0)
(fma.f64 1 1 -1)
(fma.f64 -1 -1 -1)
(fma.f64 0 -1 0)
(fma.f64 4 0 0)
(fma.f64 0 3 0)
(fma.f64 0 -2 0)
(fma.f64 0 2 0)
(fma.f64 3 0 0)
(fma.f64 -2 0 0)
(fma.f64 -2 3/2 3)
(fma.f64 3 -1 3)
(fma.f64 -3 1 3)
(fma.f64 1 -3 3)
(fma.f64 3/2 -2 3)
(fma.f64 (cbrt.f64 -3) (cbrt.f64 9) 3)
(fma.f64 -1 3 3)
(fma.f64 1/3 -3 1)
(fma.f64 -2 1/2 1)
(fma.f64 -3 1/3 1)
(fma.f64 1 -1 1)
(fma.f64 1/2 -2 1)
(fma.f64 -1 1 1)
(fma.f64 1 27 -27)
(fma.f64 (sqrt.f64 27) (sqrt.f64 27) -27)
(fma.f64 (neg.f64 (sqrt.f64 27)) (neg.f64 (sqrt.f64 27)) -27)
(fma.f64 27 1 -27)
(fma.f64 3 9 -27)
(fma.f64 9 3 -27)
(fma.f64 -2 -2 -4)
(fma.f64 1 4 -4)
(fma.f64 (-.f64 (+.f64 (cbrt.f64 9) 1) (cbrt.f64 3)) (+.f64 (cbrt.f64 3) 1) -4)
(fma.f64 2 2 -4)
(fma.f64 (cbrt.f64 16) (cbrt.f64 4) -4)
(fma.f64 4 1 -4)
(fma.f64 (cbrt.f64 4) (cbrt.f64 16) -4)
(fma.f64 (-.f64 (+.f64 1 (cbrt.f64 9)) (cbrt.f64 3)) (+.f64 (cbrt.f64 3) 1) -4)
(if (!=.f64 -1 0) 0 0)
(if (!=.f64 1 0) 0 0)
(if (!=.f64 2 0) 0 0)
(if (!=.f64 (cbrt.f64 2) 0) 0 0)
(if (!=.f64 -2 0) 0 0)
(if (!=.f64 6 0) 0 0)
(if (!=.f64 3 0) 0 0)
(if (!=.f64 27 0) 0 0)
(if (!=.f64 (cbrt.f64 (pow.f64 1/4 4/3)) 0) (/.f64 (cbrt.f64 (cbrt.f64 1/2)) (/.f64 0 (cbrt.f64 (pow.f64 1/4 4/3)))) 0)
(if (!=.f64 (cbrt.f64 -1/2) 0) (/.f64 (cbrt.f64 -1/4) 0) 0)
(if (!=.f64 (neg.f64 (cbrt.f64 (cbrt.f64 1/16))) 0) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 -1/8 1/4))) (/.f64 0 (neg.f64 (cbrt.f64 (cbrt.f64 1/16))))) 0)
(if (!=.f64 (neg.f64 (cbrt.f64 (cbrt.f64 1/16))) 0) (/.f64 (cbrt.f64 (cbrt.f64 -1/32)) (/.f64 0 (neg.f64 (cbrt.f64 (cbrt.f64 1/16))))) 0)
(if (!=.f64 1/2 0) 0 0)
(if (!=.f64 (cbrt.f64 (cbrt.f64 1/16)) 0) (/.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 (cbrt.f64 -1/4))) (/.f64 0 (cbrt.f64 (cbrt.f64 1/16)))) 0)
(if (!=.f64 (sqrt.f64 1/2) 0) 0 0)
(if (!=.f64 3/2 0) 0 0)
(if (!=.f64 (cbrt.f64 -1/4) 0) 0 0)
(if (!=.f64 (.f64 (cbrt.f64 (cbrt.f64 1/16)) (cbrt.f64 1/2)) 0) (/.f64 (cbrt.f64 (cbrt.f64 1/4)) (/.f64 0 (.f64 (cbrt.f64 (cbrt.f64 1/16)) (cbrt.f64 1/2)))) 0)
(if (!=.f64 (cbrt.f64 (cbrt.f64 -1/4)) 0) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/64 -1/2))) (/.f64 0 (cbrt.f64 (cbrt.f64 -1/4)))) 0)
(if (!=.f64 (cbrt.f64 (cbrt.f64 -1/4)) 0) (/.f64 (cbrt.f64 (cbrt.f64 -1/128)) (/.f64 0 (cbrt.f64 (cbrt.f64 -1/4)))) 0)
(if (!=.f64 1/3 0) 0 0)
(if (!=.f64 (cbrt.f64 (cbrt.f64 1/4)) 0) (/.f64 (*.f64 (cbrt.f64 -1/4) (cbrt.f64 (cbrt.f64 -1/2))) (/.f64 0 (cbrt.f64 (cbrt.f64 1/4)))) 0)
(if (!=.f64 (neg.f64 (sqrt.f64 1/2)) 0) (/.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 0 (neg.f64 (sqrt.f64 1/2)))) 0)
(if (!=.f64 (cbrt.f64 1/2) 0) (/.f64 (cbrt.f64 1/4) 0) 0)
(if (!=.f64 (cbrt.f64 (.f64 (cbrt.f64 1/16) -1/2)) 0) (/.f64 (cbrt.f64 (cbrt.f64 -1/4)) (/.f64 0 (cbrt.f64 (.f64 (cbrt.f64 1/16) -1/2)))) 0)
(if (!=.f64 -1/2 0) 0 0)
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 1/4 4/3))) 0) (/.f64 (cbrt.f64 (cbrt.f64 -1/2)) (/.f64 0 (neg.f64 (cbrt.f64 (pow.f64 1/4 4/3))))) 0)
(if (!=.f64 (cbrt.f64 1/4) 0) 0 0)
(if (!=.f64 -3 0) 0 0)
(if (!=.f64 (cbrt.f64 9) 0) 0 0)
(if (!=.f64 (neg.f64 (sqrt.f64 3)) 0) (*.f64 (/.f64 0 (neg.f64 (sqrt.f64 1/3))) (neg.f64 (sqrt.f64 3))) 0)
(if (!=.f64 (sqrt.f64 3) 0) 0 0)
(if (!=.f64 (cbrt.f64 -9) 0) (*.f64 (/.f64 0 (cbrt.f64 -1/3)) (cbrt.f64 -9)) 0)
(if (!=.f64 -1/3 0) 0 0)
(if (!=.f64 1/4 0) 0 0)
(if (!=.f64 1/8 0) 0 0)
(if (!=.f64 8 0) 0 0)
(if (!=.f64 4 0) 0 0)
(if (!=.f64 13 0) (*.f64 (/.f64 0 -26) 13) 0)
(if (!=.f64 13 0) 0 0)
(if (!=.f64 -3/2 0) 0 0)
(if (!=.f64 9 0) 0 0)
(if (!=.f64 (cbrt.f64 3) 0) 0 0)
(if (!=.f64 (sqrt.f64 2) 0) 0 0)
(if (!=.f64 (cbrt.f64 1/2) 0) 0 0)
(if (!=.f64 -6 0) 0 0)
(if (!=.f64 -4 0) 0 0)
(if (!=.f64 (.f64 2 (sqrt.f64 3)) 0) (/.f64 0 (.f64 2 (sqrt.f64 3))) 0)
(if (!=.f64 (neg.f64 (.f64 2 (sqrt.f64 3))) 0) (/.f64 0 (neg.f64 (.f64 2 (sqrt.f64 3)))) 0)
(if (!=.f64 18 0) 0 0)
(if (!=.f64 (+.f64 -1/3 -1/3) 0) (/.f64 0 (+.f64 -1/3 -1/3)) 0)
(if (!=.f64 -2/3 0) 0 0)
(if (!=.f64 12 0) 0 0)
(if (!=.f64 2/3 0) 0 0)
(if (!=.f64 54 0) 0 0)
(if (!=.f64 (.f64 2 (cbrt.f64 9)) 0) (/.f64 (-.f64 (cbrt.f64 81) (cbrt.f64 81)) (.f64 2 (cbrt.f64 9))) 0)
(if (!=.f64 (.f64 2 (cbrt.f64 3)) 0) (/.f64 0 (.f64 2 (cbrt.f64 3))) 0)
(if (!=.f64 (neg.f64 (sqrt.f64 3)) 0) 0 0)
(if (!=.f64 (cbrt.f64 9) 0) (/.f64 0 (+.f64 (cbrt.f64 81) (+.f64 (cbrt.f64 81) (cbrt.f64 81)))) 0)
(if (!=.f64 (+.f64 1/4 (+.f64 1/4 1/4)) 0) 0 0)
(if (!=.f64 3/4 0) 0 0)
(if (!=.f64 (+.f64 81 (+.f64 81 81)) 0) 0 0)
(if (!=.f64 243 0) 0 0)
(if (!=.f64 (+.f64 1/9 (+.f64 1/9 1/9)) 0) 0 0)
(if (!=.f64 1/3 0) 0 0)
(if (!=.f64 (+.f64 36 (+.f64 36 36)) 0) 0 0)
(if (!=.f64 108 0) 0 0)
(if (!=.f64 (+.f64 9/4 (+.f64 9/4 9/4)) 0) 0 0)
(if (!=.f64 27/4 0) 0 0)
(if (!=.f64 (+.f64 729 (+.f64 729 729)) 0) 0 0)
(if (!=.f64 2187 0) 0 0)
(if (!=.f64 (+.f64 16 (+.f64 16 16)) 0) 0 0)
(if (!=.f64 48 0) 0 0)
(if (!=.f64 0 0) 0 0)
(if (!=.f64 (+.f64 (cbrt.f64 81) (+.f64 (cbrt.f64 81) (cbrt.f64 81))) 0) (/.f64 0 (+.f64 (cbrt.f64 81) (+.f64 (cbrt.f64 81) (cbrt.f64 81)))) 0)
(if (!=.f64 (+.f64 (cbrt.f64 9) (*.f64 2 (cbrt.f64 9))) 0) 0 0)
(if (!=.f64 0 0) (/.f64 1 (pow.f64 0 -3/2)) 0)
(if (!=.f64 0 0) (/.f64 1 (pow.f64 0 -1/3)) 0)
(if (!=.f64 0 0) (pow.f64 0 -1/3) 0)
(if (!=.f64 0 0) (pow.f64 0 -3/2) 0)
(if (!=.f64 0 0) 1 0)
(if (!=.f64 0 0) (pow.f64 0 -1/6) 0)
(if (!=.f64 0 0) (pow.f64 0 -12) 0)
(if (!=.f64 0 0) (pow.f64 0 -2/3) 0)
(if (!=.f64 0 0) (pow.f64 0 (neg.f64 3/4)) 0)
(if (!=.f64 0 0) (pow.f64 0 -3/4) 0)
(+.f64 (neg.f64 (sqrt.f64 3)) (sqrt.f64 3))
(+.f64 (sqrt.f64 3) (neg.f64 (sqrt.f64 3)))
(+.f64 2 -2)
0
(+.f64 -2 2)
0
(+.f64 -1 1)
0
(+.f64 1 -1)
0
(+.f64 -3 3)
0
(+.f64 3 -3)
0
(+.f64 -1/2 1/2)
0
(+.f64 6 -6)
0
(+.f64 4 -4)
0
(+.f64 9 -9)
0
(+.f64 8 -8)
0
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(pow.f64 0 2)
0
(pow.f64 0 6)
0
(pow.f64 0 3/2)
0
(pow.f64 0 -2)
(pow.f64 0 2/3)
0
(pow.f64 0 4)
0
(pow.f64 0 12)
0
(pow.f64 0 1/6)
0
(pow.f64 0 3/4)
0
(pow.f64 0 1/4)
0
(pow.f64 0 (*.f64 2 1/6))
0
(pow.f64 0 (*.f64 2 12))
0
(pow.f64 0 (*.f64 2 2/3))
0
(pow.f64 0 -4)
(pow.f64 0 (*.f64 2 3/4))
0
(pow.f64 0 8)
0
(pow.f64 0 (/.f64 1/6 2))
0
(pow.f64 0 1/8)
0
(pow.f64 0 (/.f64 2/3 2))
0
(pow.f64 0 -1/4)
(pow.f64 0 (/.f64 3/4 2))
0
(hypot.f64 0 0)
(neg.f64 0)
0
(sqrt.f64 0)
(sqrt.f64 (/.f64 0 81))
(sqrt.f64 0)
(sqrt.f64 (/.f64 0 36))
(sqrt.f64 0)
(sqrt.f64 (/.f64 0 16))
(sqrt.f64 0)
(cbrt.f64 0)
(cbrt.f64 (*.f64 27/8 0))
(cbrt.f64 0)
(cbrt.f64 (*.f64 0 27/8))
(cbrt.f64 0)
(fabs.f64 0)
0
(log.f64 1)
0
(expm1.f64 0)
(log1p.f64 0)

eval964.0ms (7%)

Compiler: Compiled 51185 to 26898 computations (47.4% saved)

prune656.0ms (4.8%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1715	2	1717
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	1716	7	1723

Error

Counts

1723 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.5b	(/.f64 (+.f64 x x) (sqrt.f64 2))
✓	32.4b	(*.f64 (sqrt.f64 2) x)
✓	30.0b	(sqrt.f64 (.f64 2 (.f64 x x)))
▶	30.4b	(neg.f64 (if (!=.f64 x 0) (/.f64 (sqrt.f64 2) (/.f64 1 x)) (*.f64 (sqrt.f64 2) x)))
▶	30.4b	(neg.f64 (if (!=.f64 x 0) (/.f64 2 (/.f64 (sqrt.f64 2) x)) (*.f64 (+.f64 x x) (sqrt.f64 1/2))))
✓	30.4b	(neg.f64 (/.f64 (+.f64 x x) (sqrt.f64 2)))
✓	30.5b	(neg.f64 (*.f64 (sqrt.f64 2) x))

Compiler

Compiled 67 to 52 computations (22.4% saved)

localize25.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 2 (/.f64 (sqrt.f64 2) x))
✓	0.5b	(*.f64 (+.f64 x x) (sqrt.f64 1/2))
✓	0.5b	(/.f64 (sqrt.f64 2) x)

Compiler

Compiled 64 to 45 computations (29.7% saved)

series12.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (+.f64 x x) (sqrt.f64 1/2))
1.0ms	x	@	inf	(*.f64 (+.f64 x x) (sqrt.f64 1/2))
0.0ms	x	@	-inf	(/.f64 (sqrt.f64 2) x)
0.0ms	x	@	-inf	(*.f64 (+.f64 x x) (sqrt.f64 1/2))
0.0ms	x	@	0	(/.f64 (sqrt.f64 2) x)

Compiler

Compiled 730 to 610 computations (16.4% saved)

rewrite133.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

163×	`egg-rr`
122×	`egg-rr`
112×	`egg-rr`

Counts

3 → 397

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 2) x)
(*.f64 (+.f64 x x) (sqrt.f64 1/2))
(/.f64 2 (/.f64 (sqrt.f64 2) x))

Outputs

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

simplify679.0ms (4.9%)

Algorithm

1×

egglog

Counts

421 → 539

Calls

Call 1

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

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

localize34.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (sqrt.f64 2) (/.f64 1 x))
	0.5b	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 52 to 41 computations (21.2% saved)

series5.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (sqrt.f64 2) (/.f64 1 x))
0.0ms	x	@	-inf	(/.f64 (sqrt.f64 2) (/.f64 1 x))
0.0ms	x	@	inf	(/.f64 (sqrt.f64 2) (/.f64 1 x))

Compiler

Compiled 250 to 190 computations (24% saved)

rewrite100.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

111× egg-rr

Counts

1 → 111

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 2) (/.f64 1 x))

Outputs

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

simplify435.0ms (3.2%)

Algorithm

1×

egglog

Counts

123 → 129

Calls

Call 1

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

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

eval664.0ms (4.8%)

Compiler: Compiled 19574 to 14795 computations (24.4% saved)

prune304.0ms (2.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	783	0	783
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	783	7	790

Error

Counts

790 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.5b	(/.f64 (+.f64 x x) (sqrt.f64 2))
✓	32.4b	(*.f64 (sqrt.f64 2) x)
✓	30.0b	(sqrt.f64 (.f64 2 (.f64 x x)))
✓	30.4b	(neg.f64 (if (!=.f64 x 0) (/.f64 (sqrt.f64 2) (/.f64 1 x)) (*.f64 (sqrt.f64 2) x)))
✓	30.4b	(neg.f64 (if (!=.f64 x 0) (/.f64 2 (/.f64 (sqrt.f64 2) x)) (*.f64 (+.f64 x x) (sqrt.f64 1/2))))
✓	30.4b	(neg.f64 (/.f64 (+.f64 x x) (sqrt.f64 2)))
✓	30.5b	(neg.f64 (*.f64 (sqrt.f64 2) x))

Compiler

Compiled 67 to 52 computations (22.4% saved)

regimes58.0ms (0.4%)

Counts

14 → 1

Calls

Call 1

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

Outputs
(if (!=.f64 (.f64 (+.f64 x x) x) 0) (if (!=.f64 (.f64 (+.f64 x x) x) 0) (hypot.f64 x x) (pow.f64 (pow.f64 (.f64 (+.f64 x x) x) -1/2) -1)) (.f64 (sqrt.f64 2) (fabs.f64 x)))

Calls

4 calls:

18.0ms	x
13.0ms	(*.f64 x x)
10.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
10.0ms	(.f64 2 (.f64 x x))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(sqrt.f64 (.f64 2 (.f64 x x)))`
0.1b	1	`(.f64 2 (.f64 x x))`
0.1b	1	`(*.f64 x x)`

Compiler

Compiled 191 to 123 computations (35.6% saved)

regimes51.0ms (0.4%)

Counts

10 → 1

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 2) (fabs.f64 x))

Calls

4 calls:

17.0ms	x
11.0ms	(.f64 2 (.f64 x x))
8.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
8.0ms	(*.f64 x x)

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`(sqrt.f64 (.f64 2 (.f64 x x)))`
0.5b	1	`(.f64 2 (.f64 x x))`
0.5b	1	`(*.f64 x x)`

Compiler

Compiled 115 to 78 computations (32.2% saved)

regimes109.0ms (0.8%)

Counts

7 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(neg.f64 (*.f64 (sqrt.f64 2) x))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 (+.f64 x x) (sqrt.f64 2))
(neg.f64 (/.f64 (+.f64 x x) (sqrt.f64 2)))
(neg.f64 (if (!=.f64 x 0) (/.f64 2 (/.f64 (sqrt.f64 2) x)) (*.f64 (+.f64 x x) (sqrt.f64 1/2))))
(neg.f64 (if (!=.f64 x 0) (/.f64 (sqrt.f64 2) (/.f64 1 x)) (*.f64 (sqrt.f64 2) x)))

Outputs
(neg.f64 (/.f64 (+.f64 x x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)

Calls

4 calls:

38.0ms	(*.f64 x x)
25.0ms	(.f64 2 (.f64 x x))
24.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
18.0ms	x

Results

Error	Segments	Branch
0.4b	2	`x`
14.8b	3	`(sqrt.f64 (.f64 2 (.f64 x x)))`
14.8b	3	`(.f64 2 (.f64 x x))`
14.8b	3	`(*.f64 x x)`

Compiler

Compiled 80 to 56 computations (30% saved)

bsearch35.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
34.0ms	-4.975486754634035e-307	6.910722567793633e-307

Results

29.0ms

128×

body

256

valid

Compiler

Compiled 131 to 104 computations (20.6% saved)

regimes126.0ms (0.9%)

Accuracy

Total -62.0b remaining (-13686.7%)

Threshold costs -62.0b (-13686.7%)

Counts

4 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(neg.f64 (*.f64 (sqrt.f64 2) x))
(sqrt.f64 (.f64 2 (.f64 x x)))
(/.f64 (+.f64 x x) (sqrt.f64 2))

Outputs
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)

Calls

4 calls:

74.0ms	(*.f64 x x)
18.0ms	(.f64 2 (.f64 x x))
17.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
14.0ms	x

Results

Error	Segments	Branch
0.5b	2	`x`
14.8b	3	`(sqrt.f64 (.f64 2 (.f64 x x)))`
14.8b	3	`(.f64 2 (.f64 x x))`
14.8b	3	`(*.f64 x x)`

Compiler

Compiled 41 to 28 computations (31.7% saved)

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	-4.975486754634035e-307	6.910722567793633e-307

Results

23.0ms

128×

body

256

valid

Compiler

Compiled 115 to 96 computations (16.5% saved)

simplify5.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 75 to 50 computations (33.3% saved)

soundness0.0ms (0%)

end84.0ms (0.6%)

Compiler: Compiled 71 to 44 computations (38% saved)

Details

analyze3.0ms (0%)

sample631.0ms (4.6%)

preprocess251.0ms (1.8%)

simplify76.0ms (0.6%)

eval1.0ms (0%)

prune2.0ms (0%)

localize11.0ms (0.1%)

series16.0ms (0.1%)

rewrite153.0ms (1.1%)

simplify447.0ms (3.2%)

localize11.0ms (0.1%)

series3.0ms (0%)

rewrite209.0ms (1.5%)

simplify730.0ms (5.3%)

eval163.0ms (1.2%)

prune104.0ms (0.8%)

localize17.0ms (0.1%)

series3.0ms (0%)

rewrite129.0ms (0.9%)

simplify454.0ms (3.3%)

localize9.0ms (0.1%)

series2.0ms (0%)

rewrite108.0ms (0.8%)

simplify422.0ms (3.1%)

localize14.0ms (0.1%)

localize32.0ms (0.2%)

series23.0ms (0.2%)

rewrite265.0ms (1.9%)

simplify637.0ms (4.6%)

localize74.0ms (0.5%)

series102.0ms (0.7%)

rewrite111.0ms (0.8%)

simplify397.0ms (2.9%)

eval1.7s (12.6%)

prune304.0ms (2.2%)

localize21.0ms (0.1%)

series8.0ms (0.1%)

rewrite100.0ms (0.7%)

simplify510.0ms (3.7%)

localize7.0ms (0.1%)

localize36.0ms (0.3%)

series11.0ms (0.1%)

rewrite268.0ms (1.9%)

simplify661.0ms (4.8%)

eval964.0ms (7%)

prune656.0ms (4.8%)

localize25.0ms (0.2%)

series12.0ms (0.1%)

rewrite133.0ms (1%)

simplify679.0ms (4.9%)

localize34.0ms (0.2%)

series5.0ms (0%)

rewrite100.0ms (0.7%)

simplify435.0ms (3.2%)

eval664.0ms (4.8%)

prune304.0ms (2.2%)

regimes58.0ms (0.4%)

regimes51.0ms (0.4%)

regimes109.0ms (0.8%)

bsearch35.0ms (0.3%)

regimes126.0ms (0.9%)

bsearch27.0ms (0.2%)

simplify5.0ms (0%)

soundness0.0ms (0%)

end84.0ms (0.6%)

Profiling