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

analyze24.0ms (0.6%)

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: 8.0ms

ival-mult: 3.0ms (35.8% of total)

ival-sqrt: 3.0ms (35.8% of total)

ival-add: 2.0ms (23.9% of total)

const: 0.0ms (0% of total)

sample1.1s (26.7%)

Results

809.0ms	8256×	0	valid
16.0ms	319×	0	invalid

Precisions

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

ival-mult: 85.0ms (38.5% of total)

ival-sqrt: 75.0ms (33.9% of total)

ival-add: 50.0ms (22.6% of total)

const: 8.0ms (3.6% of total)

backward-pass: 4.0ms (1.8% of total)

Bogosity

preprocess59.0ms (1.4%)

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)

explain68.0ms (1.6%)

FPErrors

Click to see full error table

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

Results

40.0ms

512×

256

valid

Compiler

Compiled 46 to 17 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 4.0ms (33.4% of total)

ival-sqrt: 4.0ms (33.4% of total)

ival-add: 3.0ms (25.1% 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
▶	70.2%	(sqrt.f64 (fma.f64 x x y))
▶	70.1%	(sqrt.f64 (+.f64 (*.f64 x x) y))

Compiler

Compiled 15 to 9 computations (40% saved)

localize47.0ms (1.1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	70.2%	(sqrt.f64 (fma.f64 x x y))
✓	100.0%	(+.f64 (*.f64 x x) y)
✓	70.2%	(sqrt.f64 (+.f64 (*.f64 x x) y))

Results

28.0ms

256×

256

valid

Compiler

Compiled 30 to 8 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

composed: 4.0ms (27.6% of total)

ival-mult: 4.0ms (27.6% of total)

ival-sqrt: 4.0ms (27.6% of total)

ival-add: 3.0ms (20.7% of total)

const: 0.0ms (0% of total)

series10.0ms (0.3%)

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))

rewrite212.0ms (5.1%)

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)))

simplify262.0ms (6.3%)

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)

eval76.0ms (1.8%)

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

prune35.0ms (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
▶	63.4%	(+.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)))))
▶	66.1%	(+.f64 x (.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1/2 binary64) x))))
▶	66.1%	(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
✓	70.1%	(sqrt.f64 (+.f64 (*.f64 x x) y))
▶	36.8%	(sqrt.f64 y)
▶	65.6%	x

Compiler

Compiled 100 to 71 computations (29% saved)

localize233.0ms (5.6%)

Localize:

Found 4 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)))))
✓	96.6%	(.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))))
✓	94.5%	(/.f64 y (pow.f64 x #s(literal 3 binary64)))
✓	99.8%	(*.f64 y (/.f64 #s(literal 1/2 binary64) x))

Results

71.0ms	135×	256	valid
56.0ms	95×	256	invalid
55.0ms	26×	256	infinite

Compiler

Compiled 127 to 82 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-div: 61.0ms (44.6% of total)

ival-mult: 31.0ms (22.7% of total)

ival-pow: 31.0ms (22.7% of total)

ival-add: 8.0ms (5.9% of total)

const: 4.0ms (2.9% of total)

ival-sqrt: 2.0ms (1.5% of total)

series21.0ms (0.5%)

Counts

4 → 67

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 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 -1/8 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

24 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(/ y (pow x 3))
1.0ms	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))))

rewrite164.0ms (4%)

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	137
1	312	133
2	4245	133

Stop Event

1×	node limit

Counts

4 → 197

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 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))
(/.f64 (+.f64 (pow.f64 (.f64 y (.f64 (.f64 y (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 y (.f64 (.f64 y (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64))) (.f64 y (.f64 (.f64 y (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64))) (-.f64 (pow.f64 (/.f64 y (.f64 x #s(literal 2 binary64))) #s(literal 2 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 (.f64 y (.f64 (.f64 y (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64))) (.f64 y (.f64 (.f64 y (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64)))) (pow.f64 (/.f64 y (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (.f64 y (pow.f64 x #s(literal -3 binary64))) (.f64 y #s(literal -1/8 binary64)) (neg.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 y (fma.f64 (pow.f64 (.f64 y (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal -1/512 binary64) (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 y (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64))) (pow.f64 (.f64 (*.f64 y (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 y (-.f64 (pow.f64 (.f64 (.f64 y (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 (.f64 (*.f64 y (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 y (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal -1/512 binary64) (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/8 binary64))) y) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 y (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64))) (pow.f64 (.f64 (*.f64 y (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 y (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) y) (-.f64 (.f64 (*.f64 y (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(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 1 binary64))
(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 3 binary64))
(pow.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)))) #s(literal 2 binary64))
(pow.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 3 binary64)) #s(literal 1/3 binary64))
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(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))

simplify179.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

499×	`associate-*r/`
424×	`associate-/r*`
334×	`associate-*l/`
278×	`cancel-sign-sub-inv`
273×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	482	13858
1	1121	13604
2	3072	12748

Stop Event

1×	node limit

Counts

264 → 290

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

eval117.0ms (2.8%)

Compiler: Compiled 6170 to 4223 computations (31.6% saved)

prune43.0ms (1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	289	1	290
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	289	7	296

Accuracy

100.0%

Counts

296 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.4%	(+.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)))))
▶	66.1%	(+.f64 x (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 y #s(literal 1/2 binary64))))))
✓	66.1%	(+.f64 x (.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1/2 binary64) x))))
✓	66.1%	(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
✓	70.1%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	36.8%	(sqrt.f64 y)
✓	65.6%	x

Compiler

Compiled 67 to 48 computations (28.4% saved)

localize67.0ms (1.6%)

Localize:

Found 2 expressions with local error:

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

Results

46.0ms	230×	256	valid
5.0ms	26×	256	infinite

Compiler

Compiled 42 to 30 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 15.0ms (50.2% of total)

ival-mult: 13.0ms (43.5% of total)

ival-add: 1.0ms (3.3% of total)

const: 1.0ms (3.3% of total)

series5.0ms (0.1%)

Counts

2 → 48

Calls

Call 1

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

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))>

Calls

12 calls:

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

rewrite98.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`unpow-prod-down`
608×	`log1p-expm1-u`
608×	`expm1-log1p-u`
357×	`log-prod`
184×	`pow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	127	38
2	1714	38

Stop Event

1×	node limit

Counts

2 → 231

Calls

Call 1

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

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

simplify168.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

851×	`exp-prod`
578×	`cube-prod`
576×	`fma-neg`
441×	`associate-/l*`
381×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	546	4294973748
1	1061	4294973706
2	2466	4294973622
3	5801	4294973598

Stop Event

1×	node limit

Counts

279 → 280

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

eval102.0ms (2.5%)

Compiler: Compiled 5071 to 3720 computations (26.6% saved)

prune61.0ms (1.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	279	1	280
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	280	7	287

Accuracy

100.0%

Counts

287 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.4%	(+.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)))))
▶	66.1%	(+.f64 x (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) y) x))))
✓	66.1%	(+.f64 x (.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1/2 binary64) x))))
✓	66.1%	(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
✓	70.1%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	36.8%	(sqrt.f64 y)
✓	65.6%	x

Compiler

Compiled 67 to 48 computations (28.4% saved)

localize178.0ms (4.3%)

Localize:

Found 2 expressions with local error:

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

Results

153.0ms	230×	256	valid
5.0ms	26×	256	infinite

Compiler

Compiled 42 to 30 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 17.0ms (55.9% of total)

ival-mult: 11.0ms (36.2% of total)

ival-add: 1.0ms (3.3% of total)

const: 1.0ms (3.3% of total)

series3.0ms (0.1%)

Counts

2 → 48

Calls

Call 1

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

Calls

12 calls:

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

rewrite90.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`unpow-prod-down`
549×	`log1p-expm1-u`
549×	`expm1-log1p-u`
478×	`pow1`
306×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	128	38
2	1611	38

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

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

simplify157.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

581×	`exp-prod`
500×	`cube-prod`
455×	`associate-r`
454×	`fma-neg`
359×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	4136
1	625	4094
2	1352	4022
3	5403	4022

Stop Event

1×	node limit

Counts

166 → 179

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

Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x (/.f64 #s(literal 2 binary64) y))
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eval68.0ms (1.6%)

Compiler: Compiled 2900 to 2120 computations (26.9% saved)

prune35.0ms (0.8%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	179	7	186

Accuracy

100.0%

Counts

186 → 7

Alt Table

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Status	Accuracy	Program
✓	63.4%	(+.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)))))
✓	66.1%	(+.f64 x (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) y) x))))
✓	66.1%	(+.f64 x (.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1/2 binary64) x))))
✓	66.1%	(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
✓	70.1%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	36.8%	(sqrt.f64 y)
✓	65.6%	x

Compiler

Compiled 138 to 94 computations (31.9% saved)

regimes109.0ms (2.6%)

Counts

9 → 2

Calls

Call 1

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

Calls

5 calls:

82.0ms	y
9.0ms	x
8.0ms	(+.f64 (*.f64 x x) y)
5.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
4.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	2	`x`
86.4%	2	`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)

regimes20.0ms (0.5%)

Counts

8 → 2

Calls

Call 1

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

Calls

4 calls:

6.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
5.0ms	x
4.0ms	(+.f64 (*.f64 x x) y)
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	2	`x`
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 23 to 14 computations (39.1% saved)

regimes8.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
92.1%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
66.1%	1	`y`
66.1%	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	y
0.0ms	x

Results

Accuracy	Segments	Branch
65.6%	1	`y`
65.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.875584981961528e+199	1.3868890735713415e+203

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.875584981961528e+199	1.3868890735713415e+203

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch55.0ms (1.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
54.0ms	6.70240251782681e-74	1.4607068856617517e-64

Results

45.0ms	144×	0	valid
2.0ms	51×	0	invalid

Compiler

Compiled 148 to 108 computations (27% saved)

Precisions

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

ival-mult: 2.0ms (45.5% of total)

ival-add: 1.0ms (22.8% of total)

ival-sqrt: 1.0ms (22.8% of total)

const: 0.0ms (0% of total)

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	178
1	32	178

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (*.f64 x x) #s(literal 49999999999999998486656110625518082973725163772751181324120875475173424217777037767098169202353125934013756207986941204091067867184139242319692520523619938935511795533394990905590906653083564427444224 binary64)) (sqrt.f64 (fma.f64 x x y)) x)
(if (<=.f64 (.f64 x x) #s(literal 49999999999999998486656110625518082973725163772751181324120875475173424217777037767098169202353125934013756207986941204091067867184139242319692520523619938935511795533394990905590906653083564427444224 binary64)) (sqrt.f64 (+.f64 (.f64 x x) y)) x)
(if (<=.f64 x #s(literal 315683694986681/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 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 49999999999999998486656110625518082973725163772751181324120875475173424217777037767098169202353125934013756207986941204091067867184139242319692520523619938935511795533394990905590906653083564427444224 binary64)) (sqrt.f64 (fma.f64 x x y)) x)
(if (<=.f64 (.f64 x x) #s(literal 49999999999999998486656110625518082973725163772751181324120875475173424217777037767098169202353125934013756207986941204091067867184139242319692520523619938935511795533394990905590906653083564427444224 binary64)) (sqrt.f64 (+.f64 (.f64 x x) y)) x)
(if (<=.f64 x #s(literal 315683694986681/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 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

soundness169.0ms (4.1%)

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×	done
1×	saturated

Compiler

Compiled 61 to 31 computations (49.2% saved)

preprocess83.0ms (2%)

Compiler: Compiled 258 to 144 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

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

analyze24.0ms (0.6%)

sample1.1s (26.7%)

preprocess59.0ms (1.4%)

explain68.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize47.0ms (1.1%)

series10.0ms (0.3%)

rewrite212.0ms (5.1%)

simplify262.0ms (6.3%)

eval76.0ms (1.8%)

prune35.0ms (0.8%)

localize233.0ms (5.6%)

series21.0ms (0.5%)

rewrite164.0ms (4%)

simplify179.0ms (4.3%)

eval117.0ms (2.8%)

prune43.0ms (1%)

localize67.0ms (1.6%)

series5.0ms (0.1%)

rewrite98.0ms (2.4%)

simplify168.0ms (4.1%)

eval102.0ms (2.5%)

prune61.0ms (1.5%)

localize178.0ms (4.3%)

series3.0ms (0.1%)

rewrite90.0ms (2.2%)

simplify157.0ms (3.8%)

eval68.0ms (1.6%)

prune35.0ms (0.8%)

regimes109.0ms (2.6%)

regimes20.0ms (0.5%)

regimes8.0ms (0.2%)

regimes4.0ms (0.1%)

regimes1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch55.0ms (1.3%)

simplify6.0ms (0.1%)

soundness169.0ms (4.1%)

preprocess83.0ms (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

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