Metrics for Linear.Projection:inversePerspective from linear-1.19.1.3, C

analyze30.0ms (0.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

Operation ival-mult, time spent: 5.0ms, 48.0% of total-time

Operation ival-add, time spent: 3.0ms, 29.0% of total-time

Operation ival-div, time spent: 2.0ms, 19.0% of total-time

Operation const, time spent: 1.0ms, 10.0% of total-time

sample1.2s (21.6%)

Results

966.0ms	8253×	256	valid
0.0ms	2×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 339.0ms

Operation ival-mult, time spent: 163.0ms, 48.0% of total-time

Operation ival-div, time spent: 82.0ms, 24.0% of total-time

Operation ival-add, time spent: 80.0ms, 24.0% of total-time

Operation const, time spent: 14.0ms, 4.0% of total-time

Bogosity

preprocess204.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

895×	`div-sub`
416×	`distribute-rgt-in`
416×	`distribute-lft-in`
309×	`sub-neg`
289×	`fma-neg`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
70	-	2	(-7.67759279119129e-36 1.6400190819687129e-288)	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
0	-	0	-	`x`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`(+.f64 x y)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	283
1	74	259
2	222	259
3	874	235
4	2917	193
5	7016	193

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(sort x y)

Results

70.0ms	511×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 63 to 35 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

Operation ival-mult, time spent: 22.0ms, 68.0% of total-time

Operation ival-div, time spent: 4.0ms, 12.0% of total-time

Operation ival-add, time spent: 4.0ms, 12.0% of total-time

Operation const, time spent: 2.0ms, 6.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 29 to 21 computations (27.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.2%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	100.0%	(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize97.0ms (1.7%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	74.2%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	100.0%	(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) y))

Results

70.0ms	255×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 51 to 32 computations (37.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

Operation ival-mult, time spent: 21.0ms, 50.0% of total-time

Operation ival-div, time spent: 11.0ms, 26.0% of total-time

Operation ival-sub, time spent: 6.0ms, 14.0% of total-time

Operation ival-add, time spent: 2.0ms, 5.0% of total-time

Operation const, time spent: 2.0ms, 5.0% of total-time

series10.0ms (0.2%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite798.0ms (13.9%)

Algorithm

1×	batch-egg-rewrite

Rules

859×	`log1p-expm1-u`
859×	`expm1-log1p-u`
495×	`fma-define`
214×	`fma-neg`
120×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	62
1	261	50
2	4525	50

Stop Event

1×	node limit

Counts

2 → 505

Calls

Call 1

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

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

simplify507.0ms (8.8%)

Algorithm

1×	egg-herbie

Rules

820×	`fma-define`
292×	`cancel-sign-sub-inv`
256×	`distribute-lft-in`
240×	`distribute-rgt-in`
223×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	475	32518
1	1141	27077
2	3488	23613

Stop Event

1×	node limit

Counts

553 → 359

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
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(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 x #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (+.f64 x y) (.f64 #s(literal -2 binary64) (.f64 x y))))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) y) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 x #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (+.f64 x y) (.f64 #s(literal -2 binary64) (.f64 x y))))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) y) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 x #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (+.f64 x y) (.f64 #s(literal -2 binary64) (.f64 x y))))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 (+.f64 x y) (*.f64 x y)) #s(literal 2 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 (+.f64 x y) (*.f64 x y)) #s(literal 2 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 (+.f64 x y) (*.f64 x y)) #s(literal 2 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 (+.f64 x y) (*.f64 x y)) #s(literal 2 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (.f64 x (.f64 y #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 (+.f64 x y) (*.f64 x y)) #s(literal 2 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (.f64 x (.f64 y #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 (+.f64 x y) (*.f64 x y)) #s(literal 2 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (.f64 x (.f64 y #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 (+.f64 x y) (*.f64 x y)) #s(literal 2 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (.f64 x (.f64 y #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 (+.f64 x y) (*.f64 x y)) #s(literal 2 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))

eval137.0ms (2.4%)

Compiler: Compiled 6959 to 4568 computations (34.4% saved)

prune66.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	354	5	359
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	356	5	361

Accuracy

100.0%

Counts

361 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.0%	(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y #s(literal 2 binary64)))
▶	52.7%	(/.f64 #s(literal 1/2 binary64) y)
▶	48.1%	(/.f64 #s(literal 1/2 binary64) x)
▶	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
▶	40.1%	(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 y #s(literal 2 binary64))))

Compiler

Compiled 94 to 62 computations (34% saved)

localize127.0ms (2.2%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x y))
✓	99.9%	(/.f64 (sqrt.f64 (+.f64 x y)) x)
✓	99.8%	(/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 y #s(literal 2 binary64)))
✓	93.0%	(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 y #s(literal 2 binary64))))
✓	100.0%	(/.f64 (+.f64 x y) x)
✓	89.0%	(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y #s(literal 2 binary64)))
✓	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Results

42.0ms	135×	256	invalid
38.0ms	120×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 94 to 39 computations (58.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

Operation ival-div, time spent: 22.0ms, 55.0% of total-time

Operation ival-mult, time spent: 11.0ms, 27.0% of total-time

Operation ival-add, time spent: 3.0ms, 7.0% of total-time

Operation const, time spent: 3.0ms, 7.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 5.0% of total-time

series35.0ms (0.6%)

Counts

7 → 165

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/ (sqrt (+ x y)) (* y 2))
4.0ms	y	@	0	(+ (/ 1/2 y) (/ 1/2 x))
3.0ms	x	@	-inf	(/ (sqrt (+ x y)) x)
2.0ms	x	@	0	(/ (sqrt (+ x y)) (* y 2))
2.0ms	y	@	-inf	(/ (sqrt (+ x y)) (* y 2))

rewrite377.0ms (6.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1273×	`log1p-expm1-u`
285×	`expm1-log1p-u`
152×	`add-exp-log`
152×	`add-log-exp`
152×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	196
1	333	196
2	5759	196

Stop Event

1×	node limit

Counts

7 → 365

Calls

Call 1

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

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

simplify210.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

846×	`times-frac`
528×	`fma-define`
493×	`associate-/r*`
391×	`associate-*r/`
342×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1045	21894
1	2849	20477

Stop Event

1×	node limit

Counts

530 → 588

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 y x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 y x)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 y x)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (.f64 #s(literal 1/32 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))))
(.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) y)) (+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))))))
(.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) y)) (+.f64 (.f64 #s(literal 1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))))))
(.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))))))))
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(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) (.f64 y x)))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) (.f64 y x)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) (*.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (+.f64 y x)))
(*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)))
(.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))) (cbrt.f64 (/.f64 (+.f64 y x) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))))
(.f64 (cbrt.f64 (/.f64 (+.f64 y x) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(.f64 (cbrt.f64 (+.f64 y x)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (.f64 y #s(literal 2 binary64))))
(.f64 (cbrt.f64 (+.f64 y x)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (.f64 y #s(literal 2 binary64))))
(.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (.f64 y #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) y) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) y) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) y))
(.f64 (/.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (.f64 y #s(literal 2 binary64))))
(.f64 (/.f64 (cbrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(.f64 (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) y) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) y))
(.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (.f64 y #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 y x)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (*.f64 y #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) (*.f64 y #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (+.f64 y x) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) x))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)) (cbrt.f64 (/.f64 (+.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 y x) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)))
(*.f64 (cbrt.f64 (+.f64 y x)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) x))
(.f64 (cbrt.f64 (+.f64 y x)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) x))
(.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 (+.f64 y x) x)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) x))
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) x))
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)))
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (cbrt.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 y x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) x))
(sqrt.f64 (/.f64 (+.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 y x)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (+.f64 y x)))
(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x y)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 y x)))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 y x))))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))

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

eval389.0ms (6.8%)

Compiler: Compiled 15977 to 9050 computations (43.4% saved)

prune593.0ms (10.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	671	1	672
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	673	4	677

Accuracy

100.0%

Counts

677 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.9%	(/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x (+.f64 y x)))
✓	52.7%	(/.f64 #s(literal 1/2 binary64) y)
✓	48.1%	(/.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize44.0ms (0.8%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 y x))
✓	89.9%	(/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x (+.f64 y x)))

Results

31.0ms	255×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 26 to 11 computations (57.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

Operation ival-div, time spent: 8.0ms, 76.0% of total-time

Operation ival-add, time spent: 2.0ms, 19.0% of total-time

Operation const, time spent: 1.0ms, 10.0% of total-time

series8.0ms (0.1%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/ x (+ y x))
0.0ms	x	@	0	(/ x (+ y x))
0.0ms	y	@	inf	(/ x (+ y x))
0.0ms	y	@	-inf	(/ x (+ y x))
0.0ms	x	@	inf	(/ x (+ y x))

rewrite105.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`log1p-expm1-u`
996×	`expm1-log1p-u`
500×	`prod-diff`
173×	`fma-define`
144×	`expm1-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	160	59
2	2629	59

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

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

simplify96.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

583×	`fma-define`
335×	`distribute-lft-in`
323×	`distribute-rgt-in`
211×	`distribute-lft-neg-in`
207×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	344	4616
1	896	4496
2	2779	4157

Stop Event

1×	node limit

Counts

145 → 158

Calls

Call 1

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

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

eval47.0ms (0.8%)

Compiler: Compiled 2540 to 1386 computations (45.4% saved)

prune31.0ms (0.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	158	4	162

Accuracy

100.0%

Counts

162 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.9%	(/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x (+.f64 y x)))
✓	52.7%	(/.f64 #s(literal 1/2 binary64) y)
✓	48.1%	(/.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 96 to 60 computations (37.5% saved)

regimes10.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
3.0ms	x
2.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes5.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
84.0%	4	`x`
85.1%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
48.1%	1	`x`
48.1%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	6.287876787584868e-87	5.081110278165301e-86

Results

8.0ms	95×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 88 to 71 computations (19.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

Operation ival-div, time spent: 1.0ms, 30.0% of total-time

Operation ival-add, time spent: 1.0ms, 30.0% of total-time

Operation ival-mult, time spent: 1.0ms, 30.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	67
1	18	67

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal 3499601159652819/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

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

Outputs

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

(if (<=.f64 y #s(literal 3499601159652819/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

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

Compiler

Compiled 26 to 20 computations (23.1% saved)

soundness510.0ms (8.9%)

Rules

895×	`div-sub`
820×	`fma-define`
416×	`distribute-rgt-in`
416×	`distribute-lft-in`
309×	`sub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	283
1	74	259
2	222	259
3	874	235
4	2917	193
5	7016	193
0	475	32518
1	1141	27077
2	3488	23613

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 353 to 250 computations (29.2% saved)

end0.0ms (0%)

preprocess44.0ms (0.8%)

Remove: (sort x y)
Compiler: Compiled 138 to 102 computations (26.1% saved)

analyze30.0ms (0.5%)

sample1.2s (21.6%)

preprocess204.0ms (3.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize97.0ms (1.7%)

series10.0ms (0.2%)

rewrite798.0ms (13.9%)

simplify507.0ms (8.8%)

eval137.0ms (2.4%)

prune66.0ms (1.1%)

localize127.0ms (2.2%)

series35.0ms (0.6%)

rewrite377.0ms (6.6%)

simplify210.0ms (3.7%)

eval389.0ms (6.8%)

prune593.0ms (10.3%)

localize44.0ms (0.8%)

series8.0ms (0.1%)

rewrite105.0ms (1.8%)

simplify96.0ms (1.7%)

eval47.0ms (0.8%)

prune31.0ms (0.5%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch13.0ms (0.2%)

simplify6.0ms (0.1%)

soundness510.0ms (8.9%)

end0.0ms (0%)

preprocess44.0ms (0.8%)

Profiling