Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A

analyze93.0ms (3.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
28.6%	25%	62.4%	0.1%	0%	12.5%	0%	4
46.2%	37.5%	43.7%	0.1%	0%	18.7%	0%	5
52.2%	37.5%	34.3%	0.1%	0%	28.1%	0%	6
65.1%	43.7%	23.4%	0.1%	0%	32.8%	0%	7
70.9%	43.7%	18%	0.1%	0%	38.2%	0%	8
79.5%	46.8%	12.1%	0.1%	0%	41%	0%	9
83.6%	46.8%	9.2%	0.1%	0%	43.9%	0%	10
88.7%	48.4%	6.1%	0.1%	0%	45.4%	0%	11
91.3%	48.4%	4.6%	0.1%	0%	46.9%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sqrt: 3.0ms (55.2% of total)

ival-add: 2.0ms (36.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample652.0ms (22.7%)

Results

408.0ms	8256×	0	valid
21.0ms	512×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 221.0ms

ival-add: 131.0ms (59.2% of total)

ival-sqrt: 78.0ms (35.2% of total)

const: 10.0ms (4.5% of total)

backward-pass: 3.0ms (1.4% of total)

Bogosity

preprocess51.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

60×	`fma-neg`
22×	`fma-define`
20×	`sub-neg`
18×	`associate--r+`
12×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	135
1	33	127
2	51	127
3	75	127
4	150	127
5	202	127
6	271	127
7	299	127
8	305	127
9	306	127

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(sort x y)

explain44.0ms (1.5%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(+.f64 x y)`
-	-	`(sqrt.f64 (+.f64 x y))`
-	-	`y`

Results

30.0ms

512×

valid

Compiler

Compiled 30 to 14 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sqrt: 4.0ms (48.5% of total)

ival-add: 3.0ms (36.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (+.f64 x y))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize19.0ms (0.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x y))

Results

14.0ms

256×

valid

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 2.0ms (48.3% of total)

ival-sqrt: 2.0ms (48.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series7.0ms (0.2%)

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (sqrt.f64 (+.f64 x y))>

Outputs
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt (sqrt.f64 x)>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y))))>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))))>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 x)>
#<alt (+.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))>
#<alt (+.f64 (sqrt.f64 x) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (+.f64 (sqrt.f64 x) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) y)))))))>
#<alt (sqrt.f64 y)>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>

Calls

6 calls:

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

rewrite568.0ms (19.8%)

Algorithm

1×	batch-egg-rewrite

Rules

455×	`prod-diff`
450×	`log1p-expm1-u`
450×	`expm1-log1p-u`
426×	`add-exp-log`
386×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	96	17
2	1235	17

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x y))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 x y)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (+.f64 x y) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x y)))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (hypot.f64 x (sqrt.f64 (*.f64 y (-.f64 y x)))))
(pow.f64 (+.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x y))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 x y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x y)))))
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x y))))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 x y))) #s(literal 2 binary64)))

simplify102.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

962×	`fma-define`
552×	`associate-r`
513×	`associate-l`
463×	`distribute-lft-neg-in`
449×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	271	3464
1	646	3332
2	1893	3194
3	5954	3174

Stop Event

1×	node limit

Counts

70 → 145

Calls

Call 1

Inputs
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
(sqrt.f64 x)
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
(+.f64 (sqrt.f64 x) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(+.f64 (sqrt.f64 x) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) y)))))))
(sqrt.f64 y)
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x y))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 x y)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (+.f64 x y) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x y)))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (hypot.f64 x (sqrt.f64 (*.f64 y (-.f64 y x)))))
(pow.f64 (+.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x y))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 x y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x y)))))
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x y))))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 x y))) #s(literal 2 binary64)))

Outputs
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))
(+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(+.f64 (sqrt.f64 y) (.f64 x (fma.f64 #s(literal -1/8 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 y))
(fma.f64 x (fma.f64 x (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y))
(+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
(+.f64 (sqrt.f64 y) (.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x #s(literal 1/16 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 x (fma.f64 x (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))) (sqrt.f64 y))
(fma.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y))
(sqrt.f64 x)
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 x (fma.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64))))))
(.f64 x (fma.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(.f64 x (fma.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 y (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))))))
(.f64 x (+.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 y (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))))))
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(.f64 y (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(neg.f64 (.f64 y (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))) (neg.f64 y))
(.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (neg.f64 y))
(.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (neg.f64 y))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 y x))))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x y))) #s(literal 1 binary64))
(sqrt.f64 (+.f64 y x))
(*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64))
(sqrt.f64 (+.f64 y x))
(*.f64 (sqrt.f64 (+.f64 x y)) (log.f64 (E.f64)))
(sqrt.f64 (+.f64 y x))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 y x))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 y x)))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 y x)))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(sqrt.f64 (+.f64 y x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (+.f64 x y) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 5/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 y x))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 5/6 binary64))) (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 y x)))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 y x)))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 5/4 binary64))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x y)))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (hypot.f64 x (sqrt.f64 (*.f64 y (-.f64 y x)))))
(pow.f64 (+.f64 x y) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 y x))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64))
(sqrt.f64 (+.f64 y x))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 y x)))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3/2 binary64))
(sqrt.f64 (+.f64 y x))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (+.f64 y x))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 (+.f64 y x))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (+.f64 y x))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x y))))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 y x))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 y x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 y x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 y x)))))
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 y x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 y x))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)))
(sqrt.f64 (+.f64 y x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 y x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(sqrt.f64 (+.f64 y x))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(sqrt.f64 (+.f64 y x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 y x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 y x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 y x)))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 x y))) #s(literal 1/3 binary64)))
(sqrt.f64 (+.f64 y x))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 x y))) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 y x))

eval43.0ms (1.5%)

Compiler: Compiled 3021 to 2192 computations (27.4% saved)

prune20.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	142	4	146

Accuracy

100.0%

Counts

146 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
▶	99.3%	(+.f64 (sqrt.f64 y) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
✓	100.0%	(sqrt.f64 (+.f64 x y))
▶	98.2%	(sqrt.f64 y)

Compiler

Compiled 32 to 24 computations (25% saved)

localize100.0ms (3.5%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f64 (+.f64 x y) #s(literal 1/4 binary64))
✓	99.2%	(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	100.0%	(+.f64 (sqrt.f64 y) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
✓	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
✓	99.6%	(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))

Results

78.0ms

256×

valid

Compiler

Compiled 63 to 37 computations (41.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-pow: 20.0ms (36.8% of total)

ival-mult: 10.0ms (18.4% of total)

ival-div: 9.0ms (16.5% of total)

ival-sqrt: 9.0ms (16.5% of total)

ival-add: 3.0ms (5.5% of total)

const: 2.0ms (3.7% of total)

backward-pass: 0.0ms (0% of total)

series30.0ms (1.1%)

Counts

6 → 81

Calls

Call 1

Inputs
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (+.f64 (sqrt.f64 y) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))>

Outputs
#<alt (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (/.f64 (+.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 y)))) y)>
#<alt (/.f64 (+.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 y)))) y)>
#<alt (/.f64 (+.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 y)))) y)>
#<alt (sqrt.f64 y)>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (sqrt.f64 y)>
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#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))) y)))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64))))) y)) (.f64 #s(literal -1/4 binary64) (.f64 x (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))))) y)))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 #s(literal -1/384 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 3 binary64)))))) y)) (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)) (.f64 #s(literal -1/4 binary64) (.f64 x (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))))) y)))>

Calls

33 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	(sqrt (/ 1 y))
1.0ms	y	@	-inf	(pow (pow (+ x y) 1/4) 2)
1.0ms	x	@	inf	(pow (+ x y) 1/4)
1.0ms	x	@	0	(* x (sqrt (/ 1 y)))
1.0ms	y	@	-inf	(pow (+ x y) 1/4)

rewrite270.0ms (9.4%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`log1p-expm1-u`
755×	`expm1-log1p-u`
614×	`log-prod`
474×	`fma-define`
249×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	146
1	271	118
2	3477	118

Stop Event

1×	node limit

Counts

6 → 184

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (sqrt.f64 y) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 x y) #s(literal 1/4 binary64))

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (sqrt.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 y)))) (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sqrt.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sqrt.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sqrt.f64 y)))) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 y))
(pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (sqrt.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (sqrt.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64)))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 x (sqrt.f64 y))))
(exp.f64 (log.f64 (/.f64 x (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal -1/2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal -1/2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal -1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal -1/2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal -1/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 y)))
(pow.f64 y #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 y #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x (sqrt.f64 y)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x (sqrt.f64 y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x (sqrt.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x (sqrt.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x (sqrt.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y))
(/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 y))
(pow.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x (sqrt.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)))) #s(literal 1 binary64))
(-.f64 (/.f64 y (+.f64 (sqrt.f64 y) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y))))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)))
(*.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))))
(.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 y))) y)))
(.f64 (-.f64 y (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 y))) y) (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 y) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y)))) (-.f64 y (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 y))) y))
(/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) (-.f64 y (.f64 (.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 y (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 y) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 y))) y)))
(/.f64 (neg.f64 (-.f64 y (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))))) (neg.f64 (+.f64 (sqrt.f64 y) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))) y) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 y))))
(pow.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))) (exp.f64 (sqrt.f64 y))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y)))))
(log.f64 (.f64 (exp.f64 (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x (sqrt.f64 y)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))))
(exp.f64 (log.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 y))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)) (sqrt.f64 y))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 y) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y))
(fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (sqrt.f64 y))
(fma.f64 (sqrt.f64 y) #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))) (sqrt.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) #s(literal 1/2 binary64)) (sqrt.f64 y))
(fma.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))) (sqrt.f64 y))
(fma.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))) (*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))) #s(literal 1/2 binary64)) (sqrt.f64 y))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x (sqrt.f64 y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (sqrt.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y))
(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y)))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (pow.f64 (+.f64 x y) #s(literal 1/8 binary64)) (.f64 (pow.f64 (+.f64 x y) #s(literal 1/8 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/8 binary64))) (pow.f64 (+.f64 x y) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x y)))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (hypot.f64 x (sqrt.f64 (*.f64 y (-.f64 y x)))))
(sqrt.f64 (+.f64 x y))
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 x y)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x y))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/8 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (sqrt.f64 (+.f64 x y)))
(fabs.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 x y))))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 x y))) #s(literal 1 binary64)))

simplify245.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

606×	`times-frac`
510×	`associate-r`
472×	`associate-l`
447×	`fma-define`
332×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	708	12936
1	1693	11970
2	5757	10740

Stop Event

1×	node limit

Counts

265 → 373

Calls

Call 1

Inputs
(.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(/.f64 (+.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 y)))) y)
(/.f64 (+.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 y)))) y)
(/.f64 (+.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 y)))) y)
(sqrt.f64 y)
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(sqrt.f64 y)
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
(sqrt.f64 x)
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
(+.f64 (sqrt.f64 x) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(+.f64 (sqrt.f64 x) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) y)))))))
(sqrt.f64 y)
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
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(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))))
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(pow.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x (sqrt.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)))) #s(literal 1 binary64))
(-.f64 (/.f64 y (+.f64 (sqrt.f64 y) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y))))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)))
(*.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))))
(.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 y))) y)))
(.f64 (-.f64 y (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 y))) y) (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 y) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y)))) (-.f64 y (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 y))) y))
(/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) (-.f64 y (.f64 (.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 y (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 y) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 y))) y)))
(/.f64 (neg.f64 (-.f64 y (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))))) (neg.f64 (+.f64 (sqrt.f64 y) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))) y) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 y))))
(pow.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))) (exp.f64 (sqrt.f64 y))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y)))))
(log.f64 (.f64 (exp.f64 (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x (sqrt.f64 y)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))))
(exp.f64 (log.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 y))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)) (sqrt.f64 y))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 y) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y))
(fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (sqrt.f64 y))
(fma.f64 (sqrt.f64 y) #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))) (sqrt.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) #s(literal 1/2 binary64)) (sqrt.f64 y))
(fma.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64))) (sqrt.f64 y))
(fma.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))) (*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))) #s(literal 1/2 binary64)) (sqrt.f64 y))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x (sqrt.f64 y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (sqrt.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y))
(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y)))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (pow.f64 (+.f64 x y) #s(literal 1/8 binary64)) (.f64 (pow.f64 (+.f64 x y) #s(literal 1/8 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/8 binary64))) (pow.f64 (+.f64 x y) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x y)))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (hypot.f64 x (sqrt.f64 (*.f64 y (-.f64 y x)))))
(sqrt.f64 (+.f64 x y))
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 x y)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x y))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/8 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (sqrt.f64 (+.f64 x y)))
(fabs.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 x y))))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 x y))) #s(literal 1 binary64)))

Outputs
(.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 x (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(neg.f64 (/.f64 x (sqrt.f64 y)))
(.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 x (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(neg.f64 (/.f64 x (sqrt.f64 y)))
(.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 x (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(neg.f64 (/.f64 x (sqrt.f64 y)))
(.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 x (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
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(.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 y) x)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 y) x)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 y) x)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(fma.f64 (fabs.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 y)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(fma.f64 (fabs.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 y)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x (sqrt.f64 y))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 y) x)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 y) x)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (sqrt.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 y) x)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 y) x)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 y) x)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x y)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 x y))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(sqrt.f64 (+.f64 x y))
(*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64))
(sqrt.f64 (+.f64 x y))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y)))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))) (.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y)))
(.f64 (pow.f64 (+.f64 x y) #s(literal 1/8 binary64)) (.f64 (pow.f64 (+.f64 x y) #s(literal 1/8 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(sqrt.f64 (+.f64 x y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x y))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/8 binary64))) (pow.f64 (+.f64 x y) #s(literal 1/8 binary64)))
(sqrt.f64 (+.f64 x y))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x y))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))) (.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x y)))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (hypot.f64 x (sqrt.f64 (*.f64 y (-.f64 y x)))))
(sqrt.f64 (+.f64 x y))
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 x y))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 x y))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 3 binary64)))
(sqrt.f64 (+.f64 x y))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x y))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(sqrt.f64 (+.f64 x y))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(sqrt.f64 (+.f64 x y))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 x y))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 1 binary64)))
(sqrt.f64 (+.f64 x y))
(+.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(pow.f64 (+.f64 x y) #s(literal 1/4 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(pow.f64 (+.f64 x y) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 x y) #s(literal 1/4 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/8 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/8 binary64)))
(pow.f64 (+.f64 x y) #s(literal 1/4 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(pow.f64 (+.f64 x y) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1/4 binary64)))
(pow.f64 (+.f64 x y) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (sqrt.f64 (+.f64 x y)))
(pow.f64 (+.f64 x y) #s(literal 1/4 binary64))
(fabs.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(pow.f64 (+.f64 x y) #s(literal 1/4 binary64))
(log.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(pow.f64 (+.f64 x y) #s(literal 1/4 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))))
(pow.f64 (+.f64 x y) #s(literal 1/4 binary64))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(pow.f64 (+.f64 x y) #s(literal 1/4 binary64))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 x y))))
(pow.f64 (+.f64 x y) #s(literal 1/4 binary64))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 x y))) #s(literal 1 binary64)))
(pow.f64 (+.f64 x y) #s(literal 1/4 binary64))

eval112.0ms (3.9%)

Compiler: Compiled 7644 to 5247 computations (31.4% saved)

prune56.0ms (1.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	372	1	373
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	373	4	377

Accuracy

100.0%

Counts

377 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
▶	99.3%	(+.f64 (sqrt.f64 y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y)))
✓	100.0%	(sqrt.f64 (+.f64 x y))
✓	98.2%	(sqrt.f64 y)

Compiler

Compiled 30 to 21 computations (30% saved)

localize36.0ms (1.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (sqrt.f64 y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y)))
✓	99.7%	(/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y))

Results

27.0ms

256×

valid

Compiler

Compiled 26 to 14 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 5.0ms (31.7% of total)

ival-div: 4.0ms (25.4% of total)

ival-add: 3.0ms (19% of total)

ival-sqrt: 2.0ms (12.7% of total)

const: 1.0ms (6.3% of total)

backward-pass: 0.0ms (0% of total)

series5.0ms (0.2%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y))>
#<alt (+.f64 (sqrt.f64 y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y)))>

Outputs
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (/.f64 (+.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 y)))) y)>
#<alt (/.f64 (+.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 y)))) y)>
#<alt (/.f64 (+.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 y)))) y)>
#<alt (sqrt.f64 y)>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (sqrt.f64 y) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (sqrt.f64 y) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))>

Calls

12 calls:

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

rewrite106.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

767×	`log1p-expm1-u`
767×	`expm1-log1p-u`
398×	`log-prod`
290×	`fma-define`
179×	`pow2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	59
1	144	55
2	2082	55

Stop Event

1×	node limit

Counts

2 → 133

Calls

Call 1

Inputs
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y))
(+.f64 (sqrt.f64 y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y)))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)))
(.f64 #s(literal 1/2 binary64) (.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) #s(literal 1 binary64))
(.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(.f64 (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (cbrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y)))
(.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y)) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(.f64 (sqrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 y))))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) x)
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/6 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 x (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 y)) (/.f64 x (pow.f64 y #s(literal 1/6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 y)) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (/.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/6 binary64))))
(pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) #s(literal 3 binary64))
(pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 y) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 y) (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))) #s(literal 1 binary64))
(-.f64 (/.f64 y (-.f64 (sqrt.f64 y) (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y) (-.f64 (sqrt.f64 y) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))))
(*.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(.f64 (fma.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y)) y)))
(.f64 (-.f64 y (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 y) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y)) y) (fma.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 y) (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 y (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y))))
(/.f64 (fma.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y)) y))
(/.f64 (fma.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y) (-.f64 y (.f64 (sqrt.f64 y) (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))))
(/.f64 (-.f64 y (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y)) (-.f64 (sqrt.f64 y) (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y)) y)))
(/.f64 (neg.f64 (-.f64 y (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y))) (neg.f64 (-.f64 (sqrt.f64 y) (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))))
(/.f64 (-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y) y) (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y)))
(pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y)) y) (fma.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 y) (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 y (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))))
(log.f64 (.f64 (exp.f64 (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))) (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) (exp.f64 (sqrt.f64 y))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y)))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(exp.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))) #s(literal 2 binary64)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y))
(fma.f64 (sqrt.f64 y) #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(fma.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) #s(literal 1 binary64) (sqrt.f64 y))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 y) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y))
(fma.f64 (pow.f64 y #s(literal 1/6 binary64)) (cbrt.f64 y) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(fma.f64 (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (cbrt.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y)) (sqrt.f64 y))
(fma.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y)) (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y))
(fma.f64 (cbrt.f64 y) (pow.f64 y #s(literal 1/6 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(fma.f64 (sqrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 y))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) x (sqrt.f64 y))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (/.f64 x (cbrt.f64 y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 y)) (/.f64 x (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 y)) (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (/.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))

simplify203.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

858×	`fma-define`
585×	`times-frac`
311×	`*-commutative`
297×	`associate-/l*`
277×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	7251
1	713	7127
2	2040	6655
3	7993	6655

Stop Event

1×	node limit

Counts

181 → 186

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(/.f64 (+.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 y)))) y)
(/.f64 (+.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 y)))) y)
(/.f64 (+.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 y)))) y)
(sqrt.f64 y)
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(+.f64 (sqrt.f64 y) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(+.f64 (sqrt.f64 y) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)))
(.f64 #s(literal 1/2 binary64) (.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) #s(literal 1 binary64))
(.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(.f64 (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (cbrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y)))
(.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y)) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(.f64 (sqrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 y))))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) x)
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/6 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 x (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 y)) (/.f64 x (pow.f64 y #s(literal 1/6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 y)) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (/.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)))
(.f64 (/.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/6 binary64))))
(pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) #s(literal 3 binary64))
(pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 y) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 y) (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))) #s(literal 1 binary64))
(-.f64 (/.f64 y (-.f64 (sqrt.f64 y) (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y) (-.f64 (sqrt.f64 y) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))))
(*.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(.f64 (fma.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y)) y)))
(.f64 (-.f64 y (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 y) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y)) y) (fma.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 y) (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 y (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y))))
(/.f64 (fma.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y)) y))
(/.f64 (fma.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y) (-.f64 y (.f64 (sqrt.f64 y) (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))))
(/.f64 (-.f64 y (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y)) (-.f64 (sqrt.f64 y) (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y)) y)))
(/.f64 (neg.f64 (-.f64 y (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y))) (neg.f64 (-.f64 (sqrt.f64 y) (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))))
(/.f64 (-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y) y) (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y)))
(pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (-.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y)) y) (fma.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 y) (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (-.f64 y (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))))
(log.f64 (.f64 (exp.f64 (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))) (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) (exp.f64 (sqrt.f64 y))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y)))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(exp.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))) #s(literal 2 binary64)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y))
(fma.f64 (sqrt.f64 y) #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(fma.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) #s(literal 1 binary64) (sqrt.f64 y))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 y) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y))
(fma.f64 (pow.f64 y #s(literal 1/6 binary64)) (cbrt.f64 y) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(fma.f64 (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (cbrt.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y)) (sqrt.f64 y))
(fma.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y)) (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y))
(fma.f64 (cbrt.f64 y) (pow.f64 y #s(literal 1/6 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(fma.f64 (sqrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 y))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) x (sqrt.f64 y))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (/.f64 x (cbrt.f64 y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 y)) (/.f64 x (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 y)) (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (/.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) x))
(/.f64 (+.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 y)))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 y)) (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) y)
(/.f64 (+.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 y)))) y)
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(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(fma.f64 (sqrt.f64 y) #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) #s(literal 1 binary64) (sqrt.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 y) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (pow.f64 y #s(literal 1/6 binary64)) (cbrt.f64 y) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(fma.f64 (cbrt.f64 y) (pow.f64 y #s(literal 1/6 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)))
(fma.f64 (cbrt.f64 y) (pow.f64 y #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y))))
(fma.f64 (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (cbrt.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y)) (sqrt.f64 y))
(fma.f64 (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) y))) (sqrt.f64 y))
(fma.f64 (cbrt.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) y))) (sqrt.f64 y))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) y))) (sqrt.f64 y))
(fma.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) y)) (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 y))
(fma.f64 (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) y))) (sqrt.f64 y))
(fma.f64 (cbrt.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) y))) (sqrt.f64 y))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) y))) (sqrt.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (cbrt.f64 y) (pow.f64 y #s(literal 1/6 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(fma.f64 (pow.f64 y #s(literal 1/6 binary64)) (cbrt.f64 y) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(fma.f64 (cbrt.f64 y) (pow.f64 y #s(literal 1/6 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)))
(fma.f64 (cbrt.f64 y) (pow.f64 y #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y))))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (sqrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) (sqrt.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) x (sqrt.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (/.f64 x (cbrt.f64 y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))
(fma.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 y)) (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 y)) (/.f64 x (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 x (cbrt.f64 y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))
(fma.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 y)) (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 x (cbrt.f64 y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))
(fma.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 y)) (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 y)) (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 y)) (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 y))
(fma.f64 (cbrt.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 y)) (sqrt.f64 y))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 y)) (sqrt.f64 y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (/.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (/.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 x (cbrt.f64 y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))
(fma.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 y)) (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))

eval37.0ms (1.3%)

Compiler: Compiled 2837 to 1679 computations (40.8% saved)

prune27.0ms (0.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	186	4	190

Accuracy

100.0%

Counts

190 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	99.3%	(+.f64 (sqrt.f64 y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y)))
✓	100.0%	(sqrt.f64 (+.f64 x y))
✓	98.2%	(sqrt.f64 y)

Compiler

Compiled 65 to 41 computations (36.9% saved)

regimes14.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

Inputs
(sqrt.f64 y)
(sqrt.f64 (+.f64 x y))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(+.f64 (sqrt.f64 y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 y) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))

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

Calls

4 calls:

5.0ms	x
3.0ms	(+.f64 x y)
3.0ms	(sqrt.f64 (+.f64 x y))
3.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(sqrt.f64 (+.f64 x y))`
100.0%	1	`(+.f64 x y)`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 y)

Outputs
(sqrt.f64 y)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	12	25

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness0.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 8 to 5 computations (37.5% saved)

preprocess24.0ms (0.8%)

Remove: (sort x y)
Compiler: Compiled 64 to 42 computations (34.4% saved)

Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A

analyze93.0ms (3.2%)

sample652.0ms (22.7%)

preprocess51.0ms (1.8%)

explain44.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize19.0ms (0.7%)

series7.0ms (0.2%)

rewrite568.0ms (19.8%)

simplify102.0ms (3.5%)

eval43.0ms (1.5%)

prune20.0ms (0.7%)

localize100.0ms (3.5%)

series30.0ms (1.1%)

rewrite270.0ms (9.4%)

simplify245.0ms (8.5%)

eval112.0ms (3.9%)

prune56.0ms (1.9%)

localize36.0ms (1.3%)

series5.0ms (0.2%)

rewrite106.0ms (3.7%)

simplify203.0ms (7.1%)

eval37.0ms (1.3%)

prune27.0ms (0.9%)

regimes14.0ms (0.5%)

regimes3.0ms (0.1%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

preprocess24.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	135
1	33	127
2	51	127
3	75	127
4	150	127
5	202	127
6	271	127
7	299	127
8	305	127
9	306	127

Iter	Nodes	Cost
0	20	135
1	33	127
2	51	127
3	75	127
4	150	127
5	202	127
6	271	127
7	299	127
8	305	127
9	306	127

Iter	Nodes	Cost
0	20	135
1	33	127
2	51	127
3	75	127
4	150	127
5	202	127
6	271	127
7	299	127
8	305	127
9	306	127