Metrics for Linear.Quaternion:$clog from linear-1.19.1.3

analyze23.0ms (0.5%)

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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
66.7%	62.4%	31.2%	0.1%	0%	6.2%	0%	6
75%	65.6%	21.9%	0.1%	0%	12.5%	0%	7
80%	68.7%	17.2%	0.1%	0%	14%	0%	8
85.7%	70.2%	11.7%	0.1%	0%	18%	0%	9
88.9%	71.8%	9%	0.1%	0%	19.1%	0%	10
92.3%	72.6%	6%	0.1%	0%	21.3%	0%	11
94.1%	73.4%	4.6%	0.1%	0%	22%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (44.6% of total)

ival-sqrt: 3.0ms (33.4% of total)

ival-add: 2.0ms (22.3% of total)

const: 0.0ms (0% of total)

sample929.0ms (19%)

Results

672.0ms	8256×	0	valid
16.0ms	357×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 245.0ms

ival-sqrt: 90.0ms (36.8% of total)

ival-mult: 86.0ms (35.2% of total)

ival-add: 58.0ms (23.7% of total)

const: 8.0ms (3.3% of total)

backward-pass: 3.0ms (1.2% of total)

Bogosity

preprocess56.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

110×	`fma-neg`
78×	`fma-define`
30×	`sub-neg`
18×	`associate--r+`
17×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	170
1	46	170
2	83	170
3	162	170
4	268	170
5	361	170
6	458	170
7	512	170
8	526	170
9	529	170

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs x)

explain70.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
85	-	-	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
0	-	-	`x`
0	-	-	`(*.f64 x x)`
0	-	-	`y`
0	-	-	`(+.f64 (*.f64 x x) y)`

Results

47.0ms

512×

256

valid

Compiler

Compiled 46 to 17 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sqrt: 5.0ms (38.8% of total)

ival-mult: 4.0ms (31% of total)

ival-add: 3.0ms (23.3% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.1%	(sqrt.f64 (fma.f64 x x y))
▶	69.1%	(sqrt.f64 (+.f64 (*.f64 x x) y))

Compiler

Compiled 15 to 9 computations (40% saved)

localize40.0ms (0.8%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	69.1%	(sqrt.f64 (fma.f64 x x y))
✓	100.0%	(+.f64 (*.f64 x x) y)
✓	69.1%	(sqrt.f64 (+.f64 (*.f64 x x) y))

Results

29.0ms

256×

256

valid

Compiler

Compiled 30 to 8 computations (73.3% saved)

Precisions

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

composed: 5.0ms (30.8% of total)

ival-add: 4.0ms (24.6% of total)

ival-mult: 4.0ms (24.6% of total)

ival-sqrt: 4.0ms (24.6% of total)

const: 0.0ms (0% of total)

series10.0ms (0.2%)

Counts

3 → 72

Calls

Call 1

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

Outputs
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (sqrt.f64 y) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (+.f64 (sqrt.f64 y) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 x (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 x (.f64 y (+.f64 (.f64 y (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (sqrt.f64 y)>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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 4 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 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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 (pow.f64 x #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 -1/8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 4 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 (pow.f64 x #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 -1/8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 4 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 6 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 (pow.f64 x #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 y>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt y>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (sqrt.f64 y) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (+.f64 (sqrt.f64 y) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 x (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 x (.f64 y (+.f64 (.f64 y (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (sqrt.f64 y)>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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 4 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 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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 (pow.f64 x #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 -1/8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 4 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 (pow.f64 x #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 -1/8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 4 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 6 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 (pow.f64 x #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))))))))>

Calls

18 calls:

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

rewrite290.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`log1p-expm1-u`
509×	`expm1-log1p-u`
495×	`prod-diff`
446×	`unpow-prod-down`
433×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	62
1	128	52
2	1465	52

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

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

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

simplify154.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

397×	`fma-neg`
357×	`distribute-lft-in`
350×	`distribute-rgt-in`
340×	`*-commutative`
301×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	385	8711
1	859	8489
2	2371	8408
3	5878	8364

Stop Event

1×	node limit

Counts

239 → 239

Calls

Call 1

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

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

eval85.0ms (1.7%)

Compiler: Compiled 3913 to 2477 computations (36.7% saved)

prune39.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	234	5	239
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	235	6	241

Accuracy

100.0%

Counts

241 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.9%	(+.f64 x (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
▶	67.8%	(+.f64 x (.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1/2 binary64) x))))
▶	67.8%	(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
✓	69.1%	(sqrt.f64 (+.f64 (*.f64 x x) y))
▶	34.7%	(sqrt.f64 y)
▶	67.4%	x

Compiler

Compiled 100 to 71 computations (29% saved)

localize278.0ms (5.7%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 x (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓	100.0%	(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	97.0%	(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
✓	95.0%	(/.f64 y (pow.f64 x #s(literal 3 binary64)))
✓	99.8%	(*.f64 y (/.f64 #s(literal 1/2 binary64) x))

Results

138.0ms	139×	256	valid
48.0ms	94×	256	invalid
14.0ms	23×	256	infinite

Compiler

Compiled 127 to 82 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-div: 93.0ms (56.3% of total)

ival-mult: 35.0ms (21.2% of total)

ival-pow: 24.0ms (14.5% of total)

ival-add: 7.0ms (4.2% of total)

const: 4.0ms (2.4% of total)

ival-sqrt: 2.0ms (1.2% of total)

series23.0ms (0.5%)

Counts

5 → 88

Calls

Call 1

Inputs
#<alt (*.f64 y (/.f64 #s(literal 1/2 binary64) x))>
#<alt (/.f64 y (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 x (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>

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

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x)))))
2.0ms	x	@	-inf	(/ y (pow x 3))
1.0ms	y	@	0	(* y (/ 1/2 x))
1.0ms	y	@	0	(/ y (pow x 3))
1.0ms	y	@	0	(* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x))))

rewrite184.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

935×	`log1p-expm1-u`
935×	`expm1-log1p-u`
698×	`fma-define`
319×	`fma-neg`
124×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	173
1	312	169
2	4245	169

Stop Event

1×	node limit

Counts

5 → 260

Calls

Call 1

Inputs
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (pow.f64 x #s(literal 3 binary64)))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))

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

simplify262.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

421×	`cancel-sign-sub-inv`
380×	`distribute-lft-in`
348×	`distribute-lft-neg-in`
333×	`distribute-rgt-neg-in`
265×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	616	17968
1	1454	17370
2	4079	16984

Stop Event

1×	node limit

Counts

348 → 396

Calls

Call 1

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

Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
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(fma.f64 y (fma.f64 y (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (.f64 (/.f64 (sqrt.f64 (.f64 y #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 y)) (.f64 (/.f64 (sqrt.f64 (.f64 y #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 y)) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (/.f64 (sqrt.f64 (.f64 y #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (.f64 y (/.f64 (sqrt.f64 (*.f64 y #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (/.f64 (sqrt.f64 (.f64 y #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (.f64 y (/.f64 (sqrt.f64 (*.f64 y #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) (.f64 (.f64 (sqrt.f64 (.f64 y #s(literal -1/8 binary64))) (sqrt.f64 (.f64 y #s(literal -1/8 binary64)))) (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 (.f64 y #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 (.f64 y #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (/.f64 (sqrt.f64 (.f64 y #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (.f64 y (/.f64 (sqrt.f64 (*.f64 y #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (/.f64 (sqrt.f64 (.f64 y #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (.f64 y (/.f64 (sqrt.f64 (*.f64 y #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) (.f64 (.f64 (sqrt.f64 (.f64 y #s(literal -1/8 binary64))) (sqrt.f64 (.f64 y #s(literal -1/8 binary64)))) (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 (fma.f64 y (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 y (fma.f64 y (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (.f64 y (sqrt.f64 (fma.f64 y (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (fma.f64 y (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 y (fma.f64 y (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (.f64 (fma.f64 y (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y) x)
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (.f64 (cbrt.f64 y) (fma.f64 y (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (.f64 (fma.f64 y (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 y (fma.f64 y (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (.f64 (.f64 (*.f64 y (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (.f64 (cbrt.f64 y) (.f64 y (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3 binary64))))) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (.f64 y (.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (cbrt.f64 y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (.f64 (.f64 (cbrt.f64 y) y) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))
(fma.f64 (.f64 (.f64 (*.f64 y (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 y (fma.f64 y (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (.f64 y (.f64 y (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/8 binary64) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 y (fma.f64 y (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (.f64 y (pow.f64 (/.f64 (cbrt.f64 (.f64 y #s(literal -1/8 binary64))) x) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 y #s(literal -1/8 binary64))) x) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 (.f64 y #s(literal -1/8 binary64))) x) #s(literal 2 binary64)) (.f64 y (/.f64 (cbrt.f64 (*.f64 y #s(literal -1/8 binary64))) x)) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) (.f64 y (pow.f64 (/.f64 (cbrt.f64 (.f64 y #s(literal -1/8 binary64))) x) #s(literal 3 binary64))))
(fma.f64 (.f64 y (/.f64 (sqrt.f64 (.f64 y #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (/.f64 (sqrt.f64 (*.f64 y #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (/.f64 (sqrt.f64 (.f64 y #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (.f64 y (/.f64 (sqrt.f64 (*.f64 y #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (/.f64 (sqrt.f64 (.f64 y #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (.f64 y (/.f64 (sqrt.f64 (*.f64 y #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) (.f64 (.f64 (sqrt.f64 (.f64 y #s(literal -1/8 binary64))) (sqrt.f64 (.f64 y #s(literal -1/8 binary64)))) (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))))

eval338.0ms (6.9%)

Compiler: Compiled 8551 to 5859 computations (31.5% saved)

prune123.0ms (2.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	393	3	396
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	395	7	402

Accuracy

100.0%

Counts

402 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.3%	(+.f64 x (.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))) x)))
▶	67.8%	(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
▶	67.8%	(+.f64 x (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 y #s(literal 1/2 binary64))))))
✓	67.8%	(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
✓	69.1%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	34.7%	(sqrt.f64 y)
✓	67.4%	x

Compiler

Compiled 63 to 44 computations (30.2% saved)

localize235.0ms (4.8%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 x (.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))) x)))
✓	100.0%	(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))) x)
✓	96.9%	(.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))) x))
✓	88.5%	(/.f64 y (pow.f64 x #s(literal 2 binary64)))
	99.7%	(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
✓	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))

Results

176.0ms	233×	256	valid
11.0ms	23×	256	infinite

Compiler

Compiled 128 to 87 computations (32% saved)

Precisions

Click to see histograms. Total time spent on operations: 148.0ms

ival-mult: 82.0ms (55.3% of total)

ival-div: 35.0ms (23.6% of total)

ival-pow: 19.0ms (12.8% of total)

ival-add: 9.0ms (6.1% of total)

const: 4.0ms (2.7% of total)

series19.0ms (0.4%)

Counts

5 → 93

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))>
#<alt (/.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (+.f64 x (.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))) x)))>

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

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ (+ 1/2 (* -1/8 (/ y (pow x 2)))) x)
2.0ms	x	@	0	(/ y (pow x 2))
1.0ms	y	@	0	(* y (/ (+ 1/2 (* -1/8 (/ y (pow x 2)))) x))
1.0ms	y	@	-inf	(* y (/ (+ 1/2 (* -1/8 (/ y (pow x 2)))) x))
1.0ms	y	@	inf	(/ y (pow x 2))

rewrite171.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1077×	`log1p-expm1-u`
983×	`expm1-log1p-u`
135×	`add-exp-log`
135×	`add-log-exp`
134×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	191
1	309	169
2	4619	169

Stop Event

1×	node limit

Counts

5 → 184

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))
(/.f64 y (pow.f64 x #s(literal 2 binary64)))
(.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))) x)
(+.f64 x (.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))) x)))

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

simplify150.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

854×	`fma-define`
427×	`distribute-lft-in`
258×	`cancel-sign-sub-inv`
241×	`distribute-lft-neg-in`
232×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	484	11392
1	1109	10902
2	3286	10843

Stop Event

1×	node limit

Counts

277 → 283

Calls

Call 1

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

Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 y (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 y (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 y (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
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(fma.f64 (/.f64 y x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 y #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) x)

eval205.0ms (4.2%)

Compiler: Compiled 5578 to 3830 computations (31.3% saved)

prune50.0ms (1%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	312	3	315
Fresh	0	0	0
Picked	2	1	3
Done	0	4	4
Total	314	8	322

Accuracy

100.0%

Counts

322 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.8%	(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
▶	66.3%	(+.f64 x (.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))) x)))
✓	67.8%	(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
▶	67.8%	(+.f64 x (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (.f64 x (/.f64 #s(literal 2 binary64) y))))))
✓	67.8%	(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
✓	69.1%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	34.7%	(sqrt.f64 y)
✓	67.4%	x

Compiler

Compiled 75 to 52 computations (30.7% saved)

localize400.0ms (8.2%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	99.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
✓	100.0%	(+.f64 x (.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))) x)))
✓	100.0%	(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))) x)
✓	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
✓	96.9%	(.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))) x))
✓	99.7%	(*.f64 x (/.f64 #s(literal 2 binary64) y))
✓	99.4%	(/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))

Results

334.0ms	233×	256	valid
12.0ms	23×	256	infinite

Compiler

Compiled 154 to 94 computations (39% saved)

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-div: 142.0ms (72% of total)

ival-mult: 39.0ms (19.8% of total)

ival-add: 9.0ms (4.6% of total)

const: 4.0ms (2% of total)

ival-neg: 4.0ms (2% of total)

series14.0ms (0.3%)

Counts

7 → 168

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 x (/.f64 #s(literal 2 binary64) y))>
#<alt (.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))) x))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))) x)>
#<alt (+.f64 x (.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))) x)))>
#<alt (/.f64 #s(literal 1/2 binary64) (/.f64 x y))>

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

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* x (/ 2 y))
1.0ms	x	@	0	(* x (/ 2 y))
0.0ms	x	@	-inf	(* x (/ 2 y))
0.0ms	x	@	inf	(* x (/ 2 y))
0.0ms	x	@	0	(/ -1 (* x (/ 2 y)))

rewrite195.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1255×	`log1p-expm1-u`
321×	`expm1-log1p-u`
175×	`associate-r`
165×	`add-exp-log`
165×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	241
1	385	211
2	5684	211

Stop Event

1×	node limit

Counts

7 → 221

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))) x)
(+.f64 x (.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))) x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))

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

simplify177.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

361×	`distribute-lft-neg-in`
350×	`distribute-lft-neg-out`
334×	`distribute-rgt-neg-in`
288×	`distribute-rgt-neg-out`
251×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	543	13293
1	1233	13129
2	3952	13064

Stop Event

1×	node limit

Counts

389 → 321

Calls

Call 1

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

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

eval113.0ms (2.3%)

Compiler: Compiled 5789 to 3925 computations (32.2% saved)

prune95.0ms (1.9%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	319	2	321
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	320	9	329

Accuracy

100.0%

Counts

329 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.8%	(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
	66.3%	(+.f64 x (.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 y x) x))) x)))
✓	67.8%	(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
	67.8%	(+.f64 x (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x #s(literal 2 binary64))))))))
✓	67.8%	(+.f64 x (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (.f64 x (/.f64 #s(literal 2 binary64) y))))))
✓	67.8%	(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
✓	69.1%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	34.7%	(sqrt.f64 y)
✓	67.4%	x

Compiler

Compiled 236 to 157 computations (33.5% saved)

regimes55.0ms (1.1%)

Counts

15 → 2

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 x (.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 x (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 y #s(literal 1/2 binary64))))))
(+.f64 x (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (.f64 x (/.f64 #s(literal 2 binary64) y))))))
(+.f64 x (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x #s(literal 2 binary64))))))))
(+.f64 x (.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 y x) x))) x)))
(+.f64 x (.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))) x)))
(sqrt.f64 y)
(sqrt.f64 (+.f64 (*.f64 x x) y))
(+.f64 x (.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))) x)))
(+.f64 x (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (fma.f64 x x y))

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

Calls

5 calls:

17.0ms	y
12.0ms	(+.f64 (*.f64 x x) y)
9.0ms	x
8.0ms	(*.f64 x x)
7.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))

Results

Accuracy	Segments	Branch
100.0%	2	`x`
87.9%	4	`y`
100.0%	2	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
100.0%	2	`(+.f64 (*.f64 x x) y)`
100.0%	2	`(*.f64 x x)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes8.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 x (.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 x (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 y #s(literal 1/2 binary64))))))
(+.f64 x (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (.f64 x (/.f64 #s(literal 2 binary64) y))))))
(+.f64 x (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x #s(literal 2 binary64))))))))
(+.f64 x (.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 y x) x))) x)))
(+.f64 x (.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))) x)))
(sqrt.f64 y)

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
89.0%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 x (.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 x (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 y #s(literal 1/2 binary64))))))
(+.f64 x (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (.f64 x (/.f64 #s(literal 2 binary64) y))))))
(+.f64 x (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x #s(literal 2 binary64))))))))
(+.f64 x (.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 y x) x))) x)))
(+.f64 x (.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))) x)))

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
67.8%	1	`y`
67.8%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

0.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
67.4%	1	`y`
67.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.759200031386832e+245	9.242725266476759e+248

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch19.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.8124424712701522e-90	3.991029907233388e-86

Results

11.0ms	128×	0	valid
2.0ms	36×	0	invalid

Compiler

Compiled 133 to 97 computations (27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (53.2% of total)

ival-mult: 1.0ms (17.7% of total)

ival-sqrt: 1.0ms (17.7% of total)

const: 0.0ms (0% of total)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	131
1	28	131

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 x x) #s(literal 1000000000000000068586051851782051496707094173312964986690823395758019319873877212752887919376339615844485246833229637697374894798906086114728229966183096349571541470619505010400634769445777943389257468521053221467463131958534128550160206370177024 binary64)) (sqrt.f64 (+.f64 (.f64 x x) y)) x)
(if (<=.f64 x #s(literal 2575706453504475/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (sqrt.f64 y) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
x

Outputs
(if (<=.f64 (.f64 x x) #s(literal 1000000000000000068586051851782051496707094173312964986690823395758019319873877212752887919376339615844485246833229637697374894798906086114728229966183096349571541470619505010400634769445777943389257468521053221467463131958534128550160206370177024 binary64)) (sqrt.f64 (+.f64 (.f64 x x) y)) x)
(if (<=.f64 x #s(literal 2575706453504475/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (sqrt.f64 y) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
x

soundness4.0ms (0.1%)

Stop Event

1×

fuel

Compiler

Compiled 36 to 19 computations (47.2% saved)

preprocess60.0ms (1.2%)

Compiler: Compiled 240 to 134 computations (44.2% saved)

Iter	Nodes	Cost
0	23	170
1	46	170
2	83	170
3	162	170
4	268	170
5	361	170
6	458	170
7	512	170
8	526	170
9	529	170

Iter	Nodes	Cost
0	23	170
1	46	170
2	83	170
3	162	170
4	268	170
5	361	170
6	458	170
7	512	170
8	526	170
9	529	170

analyze23.0ms (0.5%)

sample929.0ms (19%)

preprocess56.0ms (1.2%)

explain70.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize40.0ms (0.8%)

series10.0ms (0.2%)

rewrite290.0ms (5.9%)

simplify154.0ms (3.2%)

eval85.0ms (1.7%)

prune39.0ms (0.8%)

localize278.0ms (5.7%)

series23.0ms (0.5%)

rewrite184.0ms (3.8%)

simplify262.0ms (5.4%)

eval338.0ms (6.9%)

prune123.0ms (2.5%)

localize235.0ms (4.8%)

series19.0ms (0.4%)

rewrite171.0ms (3.5%)

simplify150.0ms (3.1%)

eval205.0ms (4.2%)

prune50.0ms (1%)

localize400.0ms (8.2%)

series14.0ms (0.3%)

rewrite195.0ms (4%)

simplify177.0ms (3.6%)

eval113.0ms (2.3%)

prune95.0ms (1.9%)

regimes55.0ms (1.1%)

regimes8.0ms (0.2%)

regimes7.0ms (0.1%)

regimes1.0ms (0%)

bsearch0.0ms (0%)

bsearch19.0ms (0.4%)

simplify4.0ms (0.1%)

soundness4.0ms (0.1%)

preprocess60.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	170
1	46	170
2	83	170
3	162	170
4	268	170
5	361	170
6	458	170
7	512	170
8	526	170
9	529	170