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

sample978.0ms (26.3%)

Results

747.0ms

8256×

256

valid

Precisions

Click to see histograms. Total time spent on operations: 240.0ms

Operation ival-sub, time spent: 93.0ms, 39.0% of total-time

Operation ival-sqrt, time spent: 72.0ms, 30.0% of total-time

Operation ival-fabs, time spent: 66.0ms, 27.0% of total-time

Operation const, time spent: 9.0ms, 4.0% of total-time

Bogosity

preprocess118.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

60×	`fma-neg`
21×	`sub-neg`
14×	`fma-define`
11×	`distribute-lft-neg-in`
11×	`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)

Results

45.0ms

512×

256

valid

Compiler

Compiled 41 to 17 computations (58.5% saved)

Precisions

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

Operation ival-sub, time spent: 4.0ms, 33.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 33.0% 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)

localize33.0ms (0.9%)

Localize:

Found 1 expressions with local error:

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

Results

24.0ms

256×

256

valid

Compiler

Compiled 17 to 6 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

Operation ival-sub, time spent: 2.0ms, 33.0% of total-time

Operation ival-fabs, time spent: 2.0ms, 33.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 33.0% 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	x	@	inf	(sqrt (fabs (- y x)))
0.0ms	y	@	0	(sqrt (fabs (- y x)))
0.0ms	y	@	-inf	(sqrt (fabs (- y x)))
0.0ms	y	@	inf	(sqrt (fabs (- y x)))
0.0ms	x	@	-inf	(sqrt (fabs (- y x)))

rewrite192.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`prod-diff`
518×	`log1p-expm1-u`
518×	`expm1-log1p-u`
441×	`pow1`
422×	`unpow-prod-down`

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)))

simplify99.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

679×	`unsub-neg`
378×	`associate-r`
344×	`distribute-lft-out`
332×	`distribute-lft-neg-out`
328×	`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))

eval15.0ms (0.4%)

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

prune9.0ms (0.2%)

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
▶	51.2%	(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
▶	100.0%	(sqrt.f64 (-.f64 y x))
▶	63.9%	(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize146.0ms (3.9%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	100.0%	(pow.f64 (-.f64 y x) #s(literal 3/2 binary64))
✓	79.9%	(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))

Results

91.0ms	131×	256	valid
31.0ms	125×	256	invalid

Compiler

Compiled 44 to 15 computations (65.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

Operation ival-pow, time spent: 17.0ms, 36.0% of total-time

Operation composed, time spent: 9.0ms, 19.0% of total-time

Operation ival-sqrt, time spent: 7.0ms, 15.0% of total-time

Operation ival-add, time spent: 3.0ms, 6.0% of total-time

Operation ival-mult, time spent: 3.0ms, 6.0% of total-time

Operation ival-cbrt, time spent: 2.0ms, 4.0% of total-time

Operation ival-sub, time spent: 2.0ms, 4.0% of total-time

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

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

series31.0ms (0.8%)

Counts

4 → 96

Calls

Call 1

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

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(cbrt (pow (- y x) 3/2))
2.0ms	x	@	0	(sqrt (+ (* (sqrt (neg x)) (sqrt (neg x))) (* (sqrt y) (sqrt y))))
2.0ms	x	@	inf	(pow (- y x) 3/2)
2.0ms	y	@	0	(pow (- y x) 3/2)
2.0ms	y	@	-inf	(cbrt (pow (- y x) 3/2))

rewrite92.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`prod-diff`
636×	`log1p-expm1-u`
636×	`expm1-log1p-u`
328×	`log-prod`
198×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	88
1	223	70
2	2630	70

Stop Event

1×	node limit

Counts

4 → 146

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
(pow.f64 (-.f64 y x) #s(literal 3/2 binary64))
(sqrt.f64 (-.f64 y x))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))

Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 y x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 y x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 y x)))))) (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 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(/.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 (hypot.f64 x (sqrt.f64 (*.f64 y x)))))
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 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 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 3/4 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 9/2 binary64)) #s(literal 1/9 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 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64)) #s(literal 2/3 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)))))
(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 (.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 y x)))) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 y x))) #s(literal 3/2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 y x) (sqrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 y x)) (+.f64 y x))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/4 binary64)))
(.f64 (.f64 (+.f64 y x) (cbrt.f64 (+.f64 y x))) (pow.f64 (+.f64 y x) #s(literal 1/6 binary64)))
(.f64 (.f64 (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 y x))) (+.f64 y x))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (+.f64 y x))) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 9/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 y x))))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal 9/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 y x))) #s(literal 3/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/4 binary64) (log.f64 (+.f64 y x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 y x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 y x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 y x)))))) (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 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(/.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 (hypot.f64 x (sqrt.f64 (*.f64 y x)))))
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 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 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 3/4 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 9/2 binary64)) #s(literal 1/9 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 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64)) #s(literal 2/3 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 (.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 y x)))) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 y x))) #s(literal 3/2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 y x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 y x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 y x)))))) (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 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(/.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 (hypot.f64 x (sqrt.f64 (*.f64 y x)))))
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 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 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 3/4 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 9/2 binary64)) #s(literal 1/9 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 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64)) #s(literal 2/3 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 (.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 y x)))) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 y x))) #s(literal 3/2 binary64)))

simplify196.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

649×	`times-frac`
557×	`associate-r`
533×	`fma-define`
482×	`*-commutative`
464×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	546	25769817712
1	1666	25769817001
2	6462	25769816662

Stop Event

1×	node limit

Counts

242 → 259

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) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 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))))
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(.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)))))))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal 9/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 y x))) #s(literal 3/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/4 binary64) (log.f64 (+.f64 y x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 y x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 y x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 y x)))))) (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 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(/.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 (hypot.f64 x (sqrt.f64 (*.f64 y x)))))
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 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 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 3/4 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 9/2 binary64)) #s(literal 1/9 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 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64)) #s(literal 2/3 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 (.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 y x)))) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 y x))) #s(literal 3/2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 y x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 y x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 y x)))))) (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 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(/.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 (hypot.f64 x (sqrt.f64 (*.f64 y x)))))
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 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 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 3/4 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 9/2 binary64)) #s(literal 1/9 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 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64)) #s(literal 2/3 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 (.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 y x)))) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 y x))) #s(literal 3/2 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 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (/.f64 y (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 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 (.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/8 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 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 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 y (fma.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 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 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))))
(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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(.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 -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 x #s(literal -1/2 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 (fma.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (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 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 y) (neg.f64 (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))))
(neg.f64 (.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)))) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))))
(neg.f64 (.f64 y (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))))
(.f64 y (neg.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))))))
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(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 y x)))
(sqrt.f64 (+.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 y x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 y x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 y x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))))
(+.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 x y))))))
(-.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 (sqrt.f64 (+.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x y))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x)))
(sqrt.f64 (+.f64 x y))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x y)))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (cbrt.f64 (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x y)))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) #s(literal 3 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 x y))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x y))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(/.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 (hypot.f64 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 (hypot.f64 x (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 x y)))))
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 x y))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 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 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x y)))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 3/4 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 9/2 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 9/2 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 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 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/4 binary64)) #s(literal 2/3 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)))
(sqrt.f64 (+.f64 x y))
(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 (.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 y x))) #s(literal 1/3 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))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 x y))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 y x)))) #s(literal 3/4 binary64)))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3/2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x y)))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 y x))) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 y x))) #s(literal 3/2 binary64)))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3/2 binary64))

eval153.0ms (4.1%)

Compiler: Compiled 7509 to 5882 computations (21.7% saved)

prune39.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	257	2	259
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	258	4	262

Accuracy

100.0%

Counts

262 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.8%	(+.f64 (sqrt.f64 y) (.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
✓	100.0%	(sqrt.f64 (-.f64 y x))
▶	52.4%	(sqrt.f64 y)
✓	63.9%	(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))

Compiler

Compiled 31 to 23 computations (25.8% saved)

localize348.0ms (9.4%)

Localize:

Found 3 expressions with local error:

New

Accuracy

Program

✓

100.0%

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

✓

99.9%

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

✓

99.7%

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

Results

57.0ms	192×	256	valid
258.0ms	64×	256	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 286.0ms

Operation ival-div, time spent: 256.0ms, 90.0% of total-time

Operation ival-sqrt, time spent: 14.0ms, 5.0% of total-time

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

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

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

series11.0ms (0.3%)

Counts

3 → 52

Calls

Call 1

Inputs

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

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

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

Outputs
#<alt (.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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 (/.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 (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

15 calls:

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

rewrite103.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

833×	`log1p-expm1-u`
833×	`expm1-log1p-u`
451×	`log-prod`
326×	`fma-define`
175×	`pow-to-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	85
1	191	65
2	2399	65

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

Inputs

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

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

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

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

simplify140.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

633×	`fma-define`
509×	`prod-exp`
335×	`cube-prod`
323×	`times-frac`
296×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	4294974296
1	690	4294973342
2	1859	4294972988
3	6192	4294972988

Stop Event

1×	node limit

Counts

186 → 188

Calls

Call 1

Inputs
(.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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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))))
(.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))))
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(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)))) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y)) (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 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 y) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y)))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y)) #s(literal 1 binary64) (sqrt.f64 y))
(fma.f64 (sqrt.f64 y) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y)))
(fma.f64 (pow.f64 y #s(literal 1/6 binary64)) (cbrt.f64 y) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (.f64 (pow.f64 y #s(literal -1/6 binary64)) (.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 y))
(fma.f64 (cbrt.f64 (/.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y))) (pow.f64 (cbrt.f64 (/.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y))) #s(literal 2 binary64)) (sqrt.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y))) (sqrt.f64 y))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) x)) (pow.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 #s(literal -1/2 binary64) x) (sqrt.f64 y)))
(fma.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 y))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y)))
(fma.f64 (sqrt.f64 (/.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y))) (sqrt.f64 (/.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y))) (sqrt.f64 y))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) x)) (.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) x)) (pow.f64 y #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 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y)))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (pow.f64 y #s(literal -1/6 binary64)) (sqrt.f64 y))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)) (sqrt.f64 y))
(fma.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) x (sqrt.f64 y))
(fma.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 y))
(fma.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 y))

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

eval51.0ms (1.4%)

Compiler: Compiled 2799 to 1637 computations (41.5% saved)

prune28.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	187	1	188
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	188	4	192

Accuracy

100.0%

Counts

192 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.8%	(+.f64 (sqrt.f64 y) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y)))
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	52.4%	(sqrt.f64 y)
✓	63.9%	(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))

Compiler

Compiled 29 to 20 computations (31% saved)

localize46.0ms (1.2%)

Localize:

Found 2 expressions with local error:

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

Results

25.0ms	186×	256	valid
6.0ms	64×	256	invalid
1.0ms	6×	256	infinite

Compiler

Compiled 26 to 14 computations (46.2% saved)

Precisions

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

Operation ival-mult, time spent: 6.0ms, 42.0% of total-time

Operation ival-div, time spent: 4.0ms, 28.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 14.0% of total-time

Operation ival-add, time spent: 1.0ms, 7.0% of total-time

Operation const, time spent: 1.0ms, 7.0% of total-time

series5.0ms (0.1%)

Counts

2 → 48

Calls

Call 1

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

Outputs
#<alt (.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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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	(+ (sqrt y) (/ (* -1/2 x) (sqrt y)))
1.0ms	y	@	-inf	(/ (* -1/2 x) (sqrt y))
0.0ms	x	@	0	(/ (* -1/2 x) (sqrt y))
0.0ms	x	@	-inf	(+ (sqrt y) (/ (* -1/2 x) (sqrt y)))
0.0ms	y	@	inf	(+ (sqrt y) (/ (* -1/2 x) (sqrt y)))

rewrite101.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

778×	`log1p-expm1-u`
778×	`expm1-log1p-u`
407×	`log-prod`
285×	`fma-define`
181×	`pow2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	59
1	145	55
2	2109	55

Stop Event

1×	node limit

Counts

2 → 130

Calls

Call 1

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

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

simplify185.0ms (5%)

Algorithm

1×	egg-herbie

Rules

895×	`fma-define`
393×	`times-frac`
368×	`exp-prod`
320×	`cube-prod`
295×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	311	7184
1	686	6984
2	1959	6562
3	7168	6562

Stop Event

1×	node limit

Counts

178 → 176

Calls

Call 1

Inputs
(.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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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))))
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(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y))
(fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64) (sqrt.f64 y))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (cbrt.f64 y)) (/.f64 x (pow.f64 y #s(literal 1/6 binary64))) (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 x #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (/.f64 x (cbrt.f64 y)) (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 y)) (cbrt.f64 (/.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y))) (sqrt.f64 y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) x)) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y))
(fma.f64 (/.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 (/.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) x)) (pow.f64 y #s(literal 1/6 binary64))) (sqrt.f64 y))

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

eval54.0ms (1.5%)

Compiler: Compiled 2674 to 1529 computations (42.8% saved)

prune30.0ms (0.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	176	4	180

Accuracy

100.0%

Counts

180 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.8%	(+.f64 (sqrt.f64 y) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y)))
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	52.4%	(sqrt.f64 y)
✓	63.9%	(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))

Compiler

Compiled 79 to 47 computations (40.5% saved)

regimes79.0ms (2.1%)

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

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

Calls

5 calls:

66.0ms	(-.f64 x y)
4.0ms	y
3.0ms	(fabs.f64 (-.f64 x y))
3.0ms	x
3.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))

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)

regimes1.0ms (0%)

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:

0.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
52.4%	1	`x`
52.4%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

saturated

Calls

Call 1

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

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

soundness387.0ms (10.4%)

Rules

679×	`unsub-neg`
566×	`prod-diff`
518×	`log1p-expm1-u`
518×	`expm1-log1p-u`
441×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	done
1×	saturated
1×	node limit
1×	node limit

Compiler

Compiled 269 to 113 computations (58% saved)

preprocess45.0ms (1.2%)

Compiler: Compiled 54 to 36 computations (33.3% saved)

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

analyze0.0ms (0%)

sample978.0ms (26.3%)

preprocess118.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize33.0ms (0.9%)

series3.0ms (0.1%)

rewrite192.0ms (5.2%)

simplify99.0ms (2.7%)

eval15.0ms (0.4%)

prune9.0ms (0.2%)

localize146.0ms (3.9%)

series31.0ms (0.8%)

rewrite92.0ms (2.5%)

simplify196.0ms (5.3%)

eval153.0ms (4.1%)

prune39.0ms (1.1%)

localize348.0ms (9.4%)

series11.0ms (0.3%)

rewrite103.0ms (2.8%)

simplify140.0ms (3.7%)

eval51.0ms (1.4%)

prune28.0ms (0.7%)

localize46.0ms (1.2%)

series5.0ms (0.1%)

rewrite101.0ms (2.7%)

simplify185.0ms (5%)

eval54.0ms (1.5%)

prune30.0ms (0.8%)

regimes79.0ms (2.1%)

regimes1.0ms (0%)

simplify2.0ms (0.1%)

soundness387.0ms (10.4%)

preprocess45.0ms (1.2%)

end0.0ms (0%)

Profiling