Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C

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

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-fabs, time spent: 0.0ms, 0.0% of total-time

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

Operation ival-sqrt, time spent: 0.0ms, 0.0% of total-time

sample807.0ms (20.6%)

Results

760.0ms	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

Operation ival-sqrt, time spent: 82.0ms, 43.0% of total-time

Operation ival-sub, time spent: 64.0ms, 34.0% of total-time

Operation ival-fabs, time spent: 34.0ms, 18.0% of total-time

Operation const, time spent: 9.0ms, 5.0% of total-time

Bogosity

preprocess101.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

120×	`fma-neg`
42×	`sub-neg`
28×	`fma-define`
22×	`distribute-lft-neg-in`
22×	`cancel-sign-sub-inv`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
-	-	`x`
-	-	`(-.f64 x y)`
-	-	`(fabs.f64 (-.f64 x y))`
-	-	`y`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	171
1	43	155
2	85	155
3	172	155
4	242	155
5	273	155
6	279	155

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y)))
(sqrt.f64 (fabs.f64 (-.f64 x (neg.f64 y))))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y))))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 x (neg.f64 y)))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))

Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y)))
(sqrt.f64 (fabs.f64 (+.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 x (neg.f64 y))))
(sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y)))
(sqrt.f64 (fabs.f64 (+.f64 x y)))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y))))
(neg.f64 (sqrt.f64 (fabs.f64 (+.f64 x y))))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 x (neg.f64 y)))))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y))))
(neg.f64 (sqrt.f64 (fabs.f64 (+.f64 x y))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))

Symmetry

(sort x y)

Compiler

Compiled 41 to 17 computations (58.5% saved)

Precisions

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

Operation ival-sqrt, time spent: 5.0ms, 42.0% of total-time

Operation ival-sub, time spent: 4.0ms, 34.0% of total-time

Operation ival-fabs, time spent: 3.0ms, 25.0% of total-time

Operation const, time spent: 1.0ms, 8.0% of total-time

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (fabs.f64 (-.f64 y x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize29.0ms (0.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 y x)))

Compiler

Compiled 17 to 6 computations (64.7% saved)

Precisions

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

Operation ival-sub, time spent: 2.0ms, 44.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 44.0% of total-time

Operation ival-fabs, time spent: 0.0ms, 0.0% of total-time

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

series3.0ms (0.1%)

Counts

1 → 8

Calls

Call 1

Inputs
#<alt (sqrt.f64 (fabs.f64 (-.f64 y x)))>

Outputs
#<alt (sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))>
#<alt (sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))>
#<alt (sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))>
#<alt (sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))>
#<alt (sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))>
#<alt (sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))>
#<alt (sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))>
#<alt (sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(sqrt (fabs (- y x)))
0.0ms	x	@	inf	(sqrt (fabs (- y x)))
0.0ms	y	@	0	(sqrt (fabs (- y x)))
0.0ms	y	@	inf	(sqrt (fabs (- y x)))
0.0ms	x	@	-inf	(sqrt (fabs (- y x)))

rewrite192.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1132×	`prod-diff`
844×	`unpow-prod-down`
518×	`log1p-expm1-u`
518×	`expm1-log1p-u`
462×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	120	17
2	1625	17

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 y x)))

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

simplify97.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1358×	`unsub-neg`
756×	`associate-r`
688×	`distribute-lft-out`
664×	`distribute-lft-neg-out`
656×	`associate-+r-`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	165	1765
1	286	1733
2	462	1605
3	1046	1605
4	3220	1589
5	5377	1589

Stop Event

1×	node limit

Counts

57 → 67

Calls

Call 1

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

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

eval16.0ms (0.4%)

Compiler: Compiled 709 to 374 computations (47.2% saved)

prune22.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	3	68

Accuracy

100.0%

Counts

68 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
▶	99.3%	(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64))))
▶	100.0%	(sqrt.f64 (-.f64 y x))

Compiler

Compiled 29 to 20 computations (31% saved)

localize144.0ms (3.7%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
✓	100.0%	(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
✓	99.9%	(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)))
✓	99.9%	(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
✓	99.7%	(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64))))
✓	100.0%	(sqrt.f64 (-.f64 y x))

Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

Operation ival-pow, time spent: 48.0ms, 55.0% of total-time

Operation ival-sqrt, time spent: 20.0ms, 23.0% of total-time

Operation composed, time spent: 8.0ms, 9.0% of total-time

Operation ival-mult, time spent: 5.0ms, 6.0% of total-time

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

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

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

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

series123.0ms (3.1%)

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (sqrt.f64 (-.f64 y x))>
#<alt (*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64))))>
#<alt (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))>
#<alt (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)))>
#<alt (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))>
#<alt (hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))>

Outputs
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 y)>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal -1/8 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal -1/16 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
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#<alt (sqrt.f64 y)>
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#<alt (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64))>
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#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 2 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) y))) x)) (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 y #s(literal 3 binary64))))))) (.f64 (pow.f64 (.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 2 binary64)))))) x)) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) y))) x)) (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (.f64 #s(literal 1/2 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 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 y)>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>

Calls

36 calls:

Time	Variable		Point	Expression
52.0ms	y	@	0	(* (sqrt (pow (- y x) 1/4)) (sqrt (pow (- y x) 3/4)))
10.0ms	x	@	0	(* (sqrt (pow (- y x) 1/4)) (sqrt (pow (- y x) 3/4)))
8.0ms	x	@	-inf	(pow (- y x) 1/4)
4.0ms	y	@	-inf	(* (sqrt (pow (- y x) 1/4)) (sqrt (pow (- y x) 3/4)))
3.0ms	y	@	0	(sqrt (pow (- y x) 3/4))

rewrite113.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1520×	`prod-diff`
816×	`log1p-expm1-u`
816×	`expm1-log1p-u`
524×	`fma-define`
292×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	108
1	290	108
2	3384	108

Stop Event

1×	node limit

Counts

6 → 177

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 y x))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64))))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))

Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 y x)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (+.f64 y x)))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))) (pow.f64 (+.f64 y x) #s(literal 3/8 binary64))))
(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(.f64 (pow.f64 (+.f64 y x) #s(literal 3/16 binary64)) (.f64 (pow.f64 (+.f64 y x) #s(literal 3/16 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(.f64 (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)) (.f64 (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/8 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 y x)))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/16 binary64))) (pow.f64 (+.f64 y x) #s(literal 3/16 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/16 binary64))) (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)))
(/.f64 (+.f64 y x) (sqrt.f64 (+.f64 y x)))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 y x)))))
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(fabs.f64 (sqrt.f64 (+.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 y x)))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 y x))))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 y x)))) #s(literal 1 binary64))
(/.f64 (+.f64 y x) (sqrt.f64 (+.f64 y x)))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 y x)))))
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 (+.f64 y x))
(fabs.f64 (sqrt.f64 (+.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 y x)))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 y x))))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 1/8 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))))
(pow.f64 (+.f64 y x) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)) #s(literal 2 binary64))
(fabs.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(exp.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 y x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/8 binary64) (log.f64 (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 3/16 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/16 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 3/8 binary64)) (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 3/8 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 3/8 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/16 binary64))) (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)))
(pow.f64 (+.f64 y x) #s(literal 3/8 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 9/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/16 binary64)) #s(literal 2 binary64))
(fabs.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 9/8 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64))))
(exp.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 3/8 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/4 binary64) (log.f64 (+.f64 y x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/8 binary64) (log.f64 (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 3/16 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/16 binary64)))
(.f64 (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)) (.f64 (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 y x))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x)))))
(.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(sqrt.f64 (sqrt.f64 (+.f64 y x)))
(fabs.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 y x))))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 y x)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (+.f64 y x)))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))) (pow.f64 (+.f64 y x) #s(literal 3/8 binary64))))
(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(.f64 (pow.f64 (+.f64 y x) #s(literal 3/16 binary64)) (.f64 (pow.f64 (+.f64 y x) #s(literal 3/16 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(.f64 (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)) (.f64 (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/8 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 y x)))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/16 binary64))) (pow.f64 (+.f64 y x) #s(literal 3/16 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/16 binary64))) (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)))
(/.f64 (+.f64 y x) (sqrt.f64 (+.f64 y x)))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 y x)))))
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 (+.f64 y x))
(fabs.f64 (sqrt.f64 (+.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 y x)))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 y x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))

simplify283.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

1322×	`distribute-rgt-in`
1322×	`distribute-lft-in`
874×	`*-commutative`
644×	`+-commutative`
590×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1030	21607
1	3103	20680
2	7659	20572

Stop Event

1×	node limit

Counts

321 → 445

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(sqrt.f64 y)
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal -1/8 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))
(+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal -1/16 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
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(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 9/8 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64))))
(exp.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 3/8 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/4 binary64) (log.f64 (+.f64 y x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/8 binary64) (log.f64 (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 3/16 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/16 binary64)))
(.f64 (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)) (.f64 (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 y x))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x)))))
(.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(sqrt.f64 (sqrt.f64 (+.f64 y x)))
(fabs.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 y x))))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 y x)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (+.f64 y x)))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))) (pow.f64 (+.f64 y x) #s(literal 3/8 binary64))))
(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(.f64 (pow.f64 (+.f64 y x) #s(literal 3/16 binary64)) (.f64 (pow.f64 (+.f64 y x) #s(literal 3/16 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(.f64 (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)) (.f64 (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/8 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 y x)))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/16 binary64))) (pow.f64 (+.f64 y x) #s(literal 3/16 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))))
(.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 3/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/16 binary64))) (pow.f64 (+.f64 y x) #s(literal 1/16 binary64)))
(/.f64 (+.f64 y x) (sqrt.f64 (+.f64 y x)))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 y x)))))
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 (+.f64 y x))
(fabs.f64 (sqrt.f64 (+.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 y x)))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 y x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))

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

eval435.0ms (11.1%)

Compiler: Compiled 16544 to 12563 computations (24.1% saved)

prune69.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	443	2	445
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	444	4	448

Accuracy

100.0%

Counts

448 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.5%	(+.f64 (sqrt.f64 y) (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
✓	99.3%	(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64))))
✓	100.0%	(sqrt.f64 (-.f64 y x))
▶	48.3%	(sqrt.f64 y)

Compiler

Compiled 38 to 27 computations (28.9% saved)

localize107.0ms (2.7%)

Localize:

Found 3 expressions with local error:

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

New

Accuracy

Program

✓

100.0%

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

✓

99.8%

(sqrt.f64 (/.f64 #s(literal 1 binary64) y))

✓

99.8%

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

Compiler

Compiled 44 to 28 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

Operation ival-div, time spent: 41.0ms, 64.0% of total-time

Operation ival-mult, time spent: 10.0ms, 16.0% of total-time

Operation ival-sqrt, time spent: 9.0ms, 14.0% of total-time

Operation const, time spent: 2.0ms, 3.0% of total-time

Operation ival-add, time spent: 1.0ms, 2.0% of total-time

series62.0ms (1.6%)

Counts

3 → 29

Calls

Call 1

Inputs

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

#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>

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

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

Calls

15 calls:

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

rewrite106.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`log-prod`
833×	`log1p-expm1-u`
833×	`expm1-log1p-u`
644×	`fma-define`
348×	`pow-to-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	79
1	191	59
2	2401	59

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

Inputs

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

(sqrt.f64 (/.f64 #s(literal 1 binary64) y))

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

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

simplify130.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1606×	`fma-neg`
894×	`fma-define`
636×	`prod-exp`
606×	`times-frac`
466×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	341	4294973875
1	690	4294973023
2	1728	4294972321
3	5346	4294972189

Stop Event

1×	node limit

Counts

164 → 182

Calls

Call 1

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

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

eval92.0ms (2.4%)

Compiler: Compiled 2636 to 1484 computations (43.7% saved)

prune32.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	182	4	186

Accuracy

100.0%

Counts

186 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.5%	(+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y))))
✓	99.3%	(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64))))
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	48.3%	(sqrt.f64 y)

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize75.0ms (1.9%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

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

Operation ival-mult, time spent: 4.0ms, 40.0% of total-time

Operation ival-div, time spent: 2.0ms, 20.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 20.0% of total-time

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

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

series4.0ms (0.1%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite154.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1978×	`prod-diff`
758×	`log-prod`
754×	`log1p-expm1-u`
754×	`expm1-log1p-u`
544×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	145	49
2	2043	49

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

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

simplify125.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1194×	`distribute-lft-neg-in`
968×	`fma-define`
606×	`exp-prod`
570×	`times-frac`
546×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	270	5576
1	585	5432
2	1545	5116
3	5415	5010

Stop Event

1×	node limit

Counts

145 → 147

Calls

Call 1

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

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

eval45.0ms (1.2%)

Compiler: Compiled 2207 to 1090 computations (50.6% saved)

prune34.0ms (0.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	147	4	151

Accuracy

100.0%

Counts

151 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.5%	(+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y))))
✓	99.3%	(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64))))
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	48.3%	(sqrt.f64 y)

Compiler

Compiled 93 to 55 computations (40.9% saved)

regimes28.0ms (0.7%)

Counts

8 → 1

Calls

Call 1

Inputs
(sqrt.f64 y)
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y))))
(+.f64 (sqrt.f64 y) (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64))))

Outputs
(sqrt.f64 (-.f64 y x))

Calls

5 calls:

7.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
6.0ms	y
6.0ms	(-.f64 x y)
5.0ms	(fabs.f64 (-.f64 x y))
5.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
100.0%	1	`(fabs.f64 (-.f64 x y))`
100.0%	1	`(-.f64 x y)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 y)

Outputs
(sqrt.f64 y)

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
48.3%	1	`x`
48.3%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg`
4×	`+-commutative`
2×	`*-commutative`
2×	`neg-sub0`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	13	25
2	18	25
3	20	25
4	21	25

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 y x))
(sqrt.f64 y)

Outputs
(sqrt.f64 (-.f64 y x))
(sqrt.f64 y)

Compiler

Compiled 10 to 7 computations (30% saved)

soundness373.0ms (9.5%)

Rules

1358×	`unsub-neg`
1132×	`prod-diff`
844×	`unpow-prod-down`
756×	`associate-r`
688×	`distribute-lft-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	171
1	43	155
2	85	155
3	172	155
4	242	155
5	273	155
6	279	155
0	165	1765
1	286	1733
2	462	1605
3	1046	1605
4	3220	1589
5	5377	1589
0	11	21
1	120	17
2	1625	17

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 104 to 42 computations (59.6% saved)

end0.0ms (0%)

preprocess99.0ms (2.5%)

Compiler: Compiled 66 to 44 computations (33.3% saved)

analyze0.0ms (0%)

sample807.0ms (20.6%)

preprocess101.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize29.0ms (0.7%)

series3.0ms (0.1%)

rewrite192.0ms (4.9%)

simplify97.0ms (2.5%)

eval16.0ms (0.4%)

prune22.0ms (0.6%)

localize144.0ms (3.7%)

series123.0ms (3.1%)

rewrite113.0ms (2.9%)

simplify283.0ms (7.2%)

eval435.0ms (11.1%)

prune69.0ms (1.8%)

localize107.0ms (2.7%)

series62.0ms (1.6%)

rewrite106.0ms (2.7%)

simplify130.0ms (3.3%)

eval92.0ms (2.4%)

prune32.0ms (0.8%)

localize75.0ms (1.9%)

series4.0ms (0.1%)

rewrite154.0ms (3.9%)

simplify125.0ms (3.2%)

eval45.0ms (1.2%)

prune34.0ms (0.9%)

regimes28.0ms (0.7%)

regimes3.0ms (0.1%)

simplify4.0ms (0.1%)

soundness373.0ms (9.5%)

end0.0ms (0%)

preprocess99.0ms (2.5%)

Profiling