Metrics for AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A

analyze20.0ms (0.7%)

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 8 to 5 computations (37.5% saved)

Precisions

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

ival-div: 2.0ms (48% of total)

ival-add: 2.0ms (48% of total)

const: 0.0ms (0% of total)

sample1.3s (45.9%)

Results

933.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 264.0ms

ival-add: 127.0ms (48.1% of total)

ival-div: 126.0ms (47.7% of total)

const: 8.0ms (3% of total)

backward-pass: 4.0ms (1.5% of total)

Bogosity

preprocess69.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

227×	`fma-define`
138×	`fma-neg`
81×	`times-frac`
51×	`associate-l`
41×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	194
1	43	154
2	83	154
3	175	154
4	395	154
5	664	154
6	965	154
7	1086	154
8	1129	154
9	1157	154

Stop Event

1×

saturated

Calls

Call 1

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

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

explain63.0ms (2.2%)

FPErrors

Click to see full error table

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

Results

37.0ms

512×

256

valid

Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions

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

ival-div: 4.0ms (48.8% of total)

ival-add: 4.0ms (48.8% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize24.0ms (0.8%)

Localize:

Found 1 expressions with local error:

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

Results

18.0ms

256×

256

valid

Compiler

Compiled 13 to 5 computations (61.5% saved)

Precisions

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

ival-div: 2.0ms (48.9% of total)

ival-add: 2.0ms (48.9% of total)

const: 0.0ms (0% of total)

series5.0ms (0.2%)

Counts

1 → 24

Calls

Call 1

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

Outputs
#<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

6 calls:

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

rewrite264.0ms (9.3%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`log1p-expm1-u`
577×	`expm1-log1p-u`
494×	`unpow-prod-down`
473×	`prod-diff`
270×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	102	22
2	1517	22

Stop Event

1×	node limit

Counts

1 → 90

Calls

Call 1

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

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

simplify124.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-define`
563×	`associate-*r/`
305×	`distribute-lft-in`
279×	`distribute-rgt-in`
240×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	4730
1	781	4544
2	2535	4418

Stop Event

1×	node limit

Counts

114 → 136

Calls

Call 1

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

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

eval33.0ms (1.1%)

Compiler: Compiled 1858 to 865 computations (53.4% saved)

prune29.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	132	4	136
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	5	137

Accuracy

100.0%

Counts

137 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.0%	(/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
✓	100.0%	(/.f64 x (+.f64 x y))
▶	50.4%	(/.f64 x y)
▶	50.1%	(-.f64 #s(literal 1 binary64) (/.f64 y x))
▶	50.2%	#s(literal 1 binary64)

Compiler

Compiled 35 to 21 computations (40% saved)

localize165.0ms (5.8%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.9%	(/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
✓	99.7%	(/.f64 x (sqrt.f64 (+.f64 x y)))

Results

133.0ms	142×	256	valid
13.0ms	114×	256	invalid

Compiler

Compiled 46 to 13 computations (71.7% saved)

Precisions

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

ival-div: 8.0ms (60.9% of total)

ival-sqrt: 2.0ms (15.2% of total)

ival-sub: 1.0ms (7.6% of total)

ival-add: 1.0ms (7.6% of total)

const: 1.0ms (7.6% of total)

series10.0ms (0.4%)

Counts

2 → 48

Calls

Call 1

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

Outputs
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 x (+.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 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 3/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))))>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 x (+.f64 (.f64 #s(literal -5/16 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 #s(literal 3/8 binary64) (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 -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (pow.f64 y #s(literal 2 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 5 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.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 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 #s(literal -1 binary64) (.f64 x (+.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 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 #s(literal -1 binary64) (.f64 x (+.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 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #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 (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 -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 3/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))))>
#<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 -5/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) y)) (.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 y))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.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
2.0ms	x	@	-inf	(/ x (sqrt (+ x y)))
1.0ms	y	@	inf	(/ x (sqrt (+ x y)))
1.0ms	y	@	-inf	(/ x (sqrt (+ x y)))
1.0ms	x	@	0	(/ x (sqrt (+ x y)))
1.0ms	x	@	inf	(/ x (sqrt (+ x y)))

rewrite112.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

807×	`log1p-expm1-u`
807×	`expm1-log1p-u`
512×	`prod-diff`
412×	`log-prod`
169×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	147	48
2	2179	48

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

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

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

simplify111.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

356×	`div-sub`
320×	`unsub-neg`
304×	`fma-define`
296×	`associate-r`
288×	`neg-sub0`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	512	7958
1	1326	7664
2	5235	7606

Stop Event

1×	node limit

Counts

172 → 209

Calls

Call 1

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

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

eval110.0ms (3.9%)

Compiler: Compiled 3899 to 1889 computations (51.6% saved)

prune30.0ms (1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	209	5	214

Accuracy

100.0%

Counts

214 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.0%	(/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
✓	100.0%	(/.f64 x (+.f64 x y))
✓	50.4%	(/.f64 x y)
✓	50.1%	(-.f64 #s(literal 1 binary64) (/.f64 y x))
✓	50.2%	#s(literal 1 binary64)

Compiler

Compiled 62 to 33 computations (46.8% saved)

regimes6.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes49.0ms (1.7%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

44.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
77.6%	5	`x`
78.1%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
77.9%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

0.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
50.2%	1	`x`
50.2%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch28.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.678544706819037e+55	3.98367104721605e+60
14.0ms	-3.333384619011789e+23	-104903601921804030.0

Results

17.0ms

272×

valid

Compiler

Compiled 250 to 178 computations (28.8% saved)

Precisions

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

ival-div: 3.0ms (56.7% of total)

ival-add: 2.0ms (37.8% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	7.678544706819037e+55	3.98367104721605e+60
15.0ms	-3.333384619011789e+23	-104903601921804030.0

Results

17.0ms

272×

valid

Compiler

Compiled 182 to 144 computations (20.9% saved)

Precisions

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

ival-div: 2.0ms (46.6% of total)

ival-add: 2.0ms (46.6% of total)

const: 0.0ms (0% of total)

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

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative`
4×	`sub-neg`
4×	`if-if-or-not`
3×	`1-exp`
3×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	131
1	45	131
2	53	131
3	59	131
4	64	131
5	66	131

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))
(if (<=.f64 y #s(literal -105000000000000000 binary64)) (/.f64 x y) (if (<=.f64 y #s(literal 160000000000000001637610723265368183940870210165195931648 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y)))
(if (<=.f64 y #s(literal -290000000000000000 binary64)) (/.f64 x y) (if (<=.f64 y #s(literal 120000000000000006672725913184041553369646376532188332032 binary64)) #s(literal 1 binary64) (/.f64 x y)))
#s(literal 1 binary64)

Outputs
(/.f64 x (+.f64 x y))
(if (<=.f64 y #s(literal -105000000000000000 binary64)) (/.f64 x y) (if (<=.f64 y #s(literal 160000000000000001637610723265368183940870210165195931648 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y)))
(if (or (<=.f64 y #s(literal -105000000000000000 binary64)) (not (<=.f64 y #s(literal 160000000000000001637610723265368183940870210165195931648 binary64)))) (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(if (<=.f64 y #s(literal -290000000000000000 binary64)) (/.f64 x y) (if (<=.f64 y #s(literal 120000000000000006672725913184041553369646376532188332032 binary64)) #s(literal 1 binary64) (/.f64 x y)))
(if (or (<=.f64 y #s(literal -290000000000000000 binary64)) (not (<=.f64 y #s(literal 120000000000000006672725913184041553369646376532188332032 binary64)))) (/.f64 x y) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness165.0ms (5.8%)

Rules

626×	`fma-define`
563×	`associate-*r/`
305×	`distribute-lft-in`
279×	`distribute-rgt-in`
240×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	4730
1	781	4544
2	2535	4418

Stop Event

1×	done
1×	node limit

Compiler

Compiled 58 to 36 computations (37.9% saved)

preprocess84.0ms (2.9%)

Compiler: Compiled 90 to 56 computations (37.8% saved)

AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A

analyze20.0ms (0.7%)

sample1.3s (45.9%)

preprocess69.0ms (2.4%)

explain63.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize24.0ms (0.8%)

series5.0ms (0.2%)

rewrite264.0ms (9.3%)

simplify124.0ms (4.4%)

eval33.0ms (1.1%)

prune29.0ms (1%)

localize165.0ms (5.8%)

series10.0ms (0.4%)

rewrite112.0ms (3.9%)

simplify111.0ms (3.9%)

eval110.0ms (3.9%)

prune30.0ms (1%)

regimes6.0ms (0.2%)

regimes49.0ms (1.7%)

regimes4.0ms (0.1%)

regimes1.0ms (0%)

bsearch28.0ms (1%)

bsearch28.0ms (1%)

simplify6.0ms (0.2%)

soundness165.0ms (5.8%)

preprocess84.0ms (2.9%)

end0.0ms (0%)

Profiling