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

analyze20.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
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: 7.0ms

ival-sqrt: 4.0ms (59.7% of total)

ival-add: 2.0ms (29.9% of total)

const: 0.0ms (0% of total)

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

sample763.0ms (42.5%)

Results

461.0ms	8256×	0	valid
90.0ms	501×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 201.0ms

ival-add: 104.0ms (51.9% of total)

ival-sqrt: 86.0ms (42.9% of total)

const: 7.0ms (3.5% of total)

backward-pass: 3.0ms (1.5% of total)

Bogosity

preprocess49.0ms (2.7%)

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)

explain43.0ms (2.4%)

FPErrors

Click to see full error table

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

Results

29.0ms

512×

valid

Compiler

Compiled 30 to 14 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sqrt: 10.0ms (67.2% of total)

ival-add: 4.0ms (26.9% 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)

localize26.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(sqrt.f64 (+.f64 x y))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(sqrt.f64 (+.f64 x y))

Rules

1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	11	38

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(sqrt.f64 (+.f64 x y))
(+.f64 x y)
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 (52.4% of total)

ival-sqrt: 2.0ms (52.4% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.5%)

Counts

2 → 42

Calls

Call 1

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

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(sqrt (+ x y))
1.0ms	x	@	-inf	(sqrt (+ x y))
1.0ms	y	@	-inf	(sqrt (+ x y))
1.0ms	y	@	inf	(sqrt (+ x y))
1.0ms	x	@	inf	(sqrt (+ x y))

rewrite227.0ms (12.6%)

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	30
1	96	30
2	1235	30

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

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

simplify128.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

593×	`fma-neg`
439×	`distribute-lft-in`
427×	`distribute-rgt-in`
370×	`*-commutative`
251×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	392	5969
1	909	5561
2	2573	5187
3	6200	5175

Stop Event

1×	node limit

Counts

149 → 235

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

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

eval184.0ms (10.2%)

Compiler: Compiled 3896 to 802 computations (79.4% saved)

prune36.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	234	2	236

Accuracy

100.0%

Counts

236 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x y))
▶	98.4%	(sqrt.f64 y)

Compiler

Compiled 10 to 7 computations (30% saved)

localize21.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 y)
✓	accuracy	100.0%	(sqrt.f64 y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 y)
y

Outputs
(sqrt.f64 y)
y

Results

9.0ms

256×

valid

Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sqrt: 2.0ms (86.6% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

1 → 4

Calls

Call 1

Inputs
#<alt (sqrt.f64 y)>

Outputs
#<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 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(sqrt y)
1.0ms	y	@	inf	(sqrt y)
0.0ms	y	@	0	(sqrt y)

rewrite122.0ms (6.8%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`log1p-expm1-u`
811×	`expm1-log1p-u`
673×	`fma-define`
332×	`fma-neg`
179×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	45	8
2	427	8
3	4414	8

Stop Event

1×	node limit

Counts

1 → 61

Calls

Call 1

Inputs
(sqrt.f64 y)

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

simplify109.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

520×	`fma-neg`
487×	`sub-neg`
402×	`div-sub`
392×	`unswap-sqr`
346×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	2018
1	274	1318
2	492	1211
3	1627	1195
4	5154	1195

Stop Event

1×	node limit

Counts

65 → 80

Calls

Call 1

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

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

eval10.0ms (0.5%)

Compiler: Compiled 725 to 187 computations (74.2% saved)

prune11.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	80	2	82

Accuracy

100.0%

Counts

82 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x y))
✓	98.4%	(sqrt.f64 y)

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes6.0ms (0.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	(sqrt.f64 (+.f64 x y))
2.0ms	y
2.0ms	(+.f64 x y)
2.0ms	x

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)

regimes4.0ms (0.2%)

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:

3.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (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)

preprocess22.0ms (1.2%)

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

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

analyze20.0ms (1.1%)

sample763.0ms (42.5%)

preprocess49.0ms (2.7%)

explain43.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize26.0ms (1.4%)

series9.0ms (0.5%)

rewrite227.0ms (12.6%)

simplify128.0ms (7.1%)

eval184.0ms (10.2%)

prune36.0ms (2%)

localize21.0ms (1.2%)

series2.0ms (0.1%)

rewrite122.0ms (6.8%)

simplify109.0ms (6.1%)

eval10.0ms (0.5%)

prune11.0ms (0.6%)

regimes6.0ms (0.4%)

regimes4.0ms (0.2%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

preprocess22.0ms (1.2%)

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