Metrics for Numeric.Interval.Internal:scale from intervals-0.7.1, B

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-div: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

sample787.0ms (57%)

Results

488.0ms	7209×	0	valid
71.0ms	1047×	0	infinite

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-mult: 83.0ms (49.1% of total)

ival-div: 69.0ms (40.8% of total)

const: 13.0ms (7.7% of total)

backward-pass: 4.0ms (2.4% of total)

Bogosity

preprocess64.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

161×	`fma-define`
58×	`fma-neg`
44×	`distribute-lft-neg-in`
30×	`associate-l`
27×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	141
1	46	141
2	101	133
3	215	133
4	412	133
5	612	133
6	642	133

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(negabs x)

(negabs y)

(sort x y)

explain57.0ms (4.1%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 x y)`
-	-	`x`
-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
-	-	`y`
-	-	`#s(literal 2 binary64)`

Results

35.0ms	454×	256	valid
4.0ms	58×	256	infinite

Compiler

Compiled 35 to 19 computations (45.7% saved)

Precisions

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

ival-mult: 4.0ms (45% of total)

ival-div: 3.0ms (33.8% of total)

const: 1.0ms (11.3% of total)

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize42.0ms (3%)

Localize:

Found 2 expressions with local error:

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

Results

27.0ms	227×	256	valid
4.0ms	29×	256	infinite

Compiler

Compiled 25 to 13 computations (48% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (66.4% of total)

ival-div: 2.0ms (19% of total)

const: 2.0ms (19% of total)

series6.0ms (0.4%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite214.0ms (15.5%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`unpow-prod-down`
511×	`log1p-expm1-u`
511×	`expm1-log1p-u`
432×	`pow1`
329×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	139	38
2	1447	38

Stop Event

1×	node limit

Counts

2 → 154

Calls

Call 1

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

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

simplify88.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

629×	`fma-neg`
476×	`distribute-lft-neg-in`
396×	`distribute-rgt-neg-in`
380×	`unswap-sqr`
366×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	5082
1	417	4998
2	1012	4974
3	3012	4974

Stop Event

1×	node limit

Counts

202 → 91

Calls

Call 1

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

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

eval25.0ms (1.8%)

Compiler: Compiled 975 to 620 computations (36.4% saved)

prune13.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	91	2	93

Accuracy

100.0%

Counts

93 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes6.0ms (0.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x
1.0ms	y
1.0ms	(/.f64 (*.f64 x y) #s(literal 2 binary64))
1.0ms	(*.f64 x y)

Results

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes1.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

0.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	16	38

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness43.0ms (3.1%)

Rules

161×	`fma-define`
58×	`fma-neg`
44×	`distribute-lft-neg-in`
30×	`associate-l`
27×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	141
1	46	141
2	101	133
3	215	133
4	412	133
5	612	133
6	642	133

Stop Event

1×	done
1×	saturated

Compiler

Compiled 103 to 67 computations (35% saved)

preprocess32.0ms (2.4%)

Remove

(sort x y)

(negabs y)

(negabs x)

Compiler

Compiled 164 to 116 computations (29.3% saved)

Numeric.Interval.Internal:scale from intervals-0.7.1, B

analyze0.0ms (0%)

sample787.0ms (57%)

preprocess64.0ms (4.6%)

explain57.0ms (4.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize42.0ms (3%)

series6.0ms (0.4%)

rewrite214.0ms (15.5%)

simplify88.0ms (6.4%)

eval25.0ms (1.8%)

prune13.0ms (0.9%)

regimes6.0ms (0.4%)

regimes1.0ms (0.1%)

simplify2.0ms (0.2%)

soundness43.0ms (3.1%)

preprocess32.0ms (2.4%)

end0.0ms (0%)

Profiling