Metrics for Physics.ForceLayout:coulombForce from force-layout-0.4.0.2

analyze184.0ms (5.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
9.4%	9.4%	90.5%	0.1%	0%	0%	0%	7
14.1%	14%	85.9%	0.1%	0%	0%	0%	8
24.2%	24.2%	75.7%	0.1%	0%	0%	0%	9
28.5%	28.5%	71.4%	0.1%	0%	0%	0%	10
35.7%	35.7%	64.2%	0.1%	0%	0%	0%	11
38.4%	38.3%	61.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample539.0ms (16.2%)

Samples

380.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-div: 74.0ms (46.7% of total)

ival-mult: 74.0ms (46.7% of total)

ival-true: 6.0ms (3.8% of total)

ival-assert: 5.0ms (3.2% of total)

Bogosity

preprocess93.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

499×	`fma-define`
444×	`times-frac`
134×	`fmm-def`
99×	`associate-r`
99×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	162
1	47	162
2	112	162
3	334	162
4	870	162
5	1566	162
6	1997	162
7	2143	162
8	2173	162
9	2217	162

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (neg.f64 x) (*.f64 y y))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y)))
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 (neg.f64 x) (*.f64 y y))
(/.f64 y (*.f64 x x))

Symmetry

(abs y)

(negabs x)

explain47.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
19	-	-	`(/.f64 x (*.f64 y y))`
0	-	-	`y`
0	-	-	`(*.f64 y y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (*.f64 y y))`	n/o	11	0
↳	`(*.f64 y y)`	overflow	59
`/.f64`	`(/.f64 x (*.f64 y y))`	n/u	8	0
↳	`(*.f64 y y)`	underflow	57

Confusion

	Predicted +	Predicted -
+	19	0
-	0	237

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	19	0	0
-	0	0	237

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	237
1	19

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

22.0ms

512×

valid

Compiler

Compiled 38 to 20 computations (47.4% saved)

Precisions

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

ival-div: 4.0ms (43.6% of total)

ival-mult: 4.0ms (43.6% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.8%	(/.f64 x (*.f64 y y))

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(/.f64 x (*.f64 y y))

Rules

1×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
1	11	43

Stop Event

1×

saturated

Calls

Call 1

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

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

localize14.0ms (0.4%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	92.8%	(/.f64 x (*.f64 y y))

Samples

10.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-div: 2.0ms (49.6% of total)

ival-mult: 2.0ms (49.6% of total)

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

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

series15.0ms (0.5%)

Counts

2 → 36

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	(/ x (* y y))
1.0ms	y	@	0	(/ x (* y y))
1.0ms	x	@	0	(/ x (* y y))
1.0ms	x	@	-inf	(/ x (* y y))
0.0ms	y	@	inf	(* y y)

rewrite241.0ms (7.2%)

Algorithm

1×	batch-egg-rewrite

Rules

436×	`log1p-expm1-u`
436×	`expm1-log1p-u`
419×	`add-exp-log`
408×	`unpow-prod-down`
405×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	93	29
2	1214	29

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

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

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

simplify121.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

360×	`prod-exp`
301×	`associate-r`
293×	`associate-/r/`
275×	`associate-/l/`
243×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	4294970525
1	457	4294970489
2	937	4294970447
3	3365	4294970447
4	7666	4294970447

Stop Event

1×	node limit

Counts

131 → 115

Calls

Call 1

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

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

eval15.0ms (0.4%)

Compiler: Compiled 1 280 to 325 computations (74.6% saved)

prune18.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	108	7	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	108	8	116

Accuracy

100.0%

Counts

116 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
▶	99.5%	(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
	92.7%	(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
▶	92.4%	(/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
✓	92.8%	(/.f64 x (*.f64 y y))
	96.8%	(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
▶	93.3%	(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
▶	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 143 to 98 computations (31.5% saved)

simplify17.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 (sqrt.f64 x) y)
✓	cost-diff	12736	(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
✓	cost-diff	0	(sqrt.f64 y)
✓	cost-diff	0	(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
✓	cost-diff	0	(/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(/.f64 y (/.f64 x y))
✓	cost-diff	6464	(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
✓	cost-diff	0	(pow.f64 y #s(literal -2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	128	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))

Rules

51×	`associate-r`
37×	`associate-l`
20×	`associate-/r*`
18×	`associate-/r/`
17×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	286
1	41	268
2	59	268
3	89	268
4	121	268
5	176	268
6	249	268
7	281	268

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(/.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
x
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
y
(/.f64 x y)
x
#s(literal -1 binary64)
(/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
x
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(sqrt.f64 y)
y
#s(literal 4 binary64)
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(/.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal 2 binary64)

localize85.0ms (2.6%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (sqrt.f64 x) y)
✓	accuracy	100.0%	(sqrt.f64 y)
✓	accuracy	99.2%	(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
✓	accuracy	92.8%	(/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.8%	(/.f64 y (/.f64 x y))
✓	accuracy	99.6%	(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
✓	accuracy	100.0%	(pow.f64 y #s(literal -2 binary64))
✓	accuracy	93.3%	(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))

Samples

49.0ms

256×

valid

Compiler

Compiled 77 to 22 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 17.0ms (49% of total)

ival-pow: 7.0ms (20.2% of total)

ival-sqrt: 4.0ms (11.5% of total)

ival-pow2: 4.0ms (11.5% of total)

ival-mult: 3.0ms (8.6% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

series20.0ms (0.6%)

Counts

13 → 200

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(/ x (pow (sqrt y) 4))
2.0ms	y	@	-inf	(sqrt y)
1.0ms	x	@	-inf	(/ x y)
1.0ms	x	@	-inf	(pow (/ (sqrt x) y) 2)
1.0ms	x	@	-inf	(/ (sqrt x) y)

rewrite243.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`log1p-expm1-u`
748×	`expm1-log1p-u`
700×	`log-prod`
188×	`expm1-undefine`
188×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	208
1	358	190
2	4446	190

Stop Event

1×	node limit

Counts

13 → 700

Calls

Call 1

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

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

simplify394.0ms (11.8%)

Algorithm

1×	egg-herbie

Rules

707×	`times-frac`
514×	`associate-r`
433×	`associate-l`
373×	`prod-exp`
281×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	811	20930
1	1567	19639
2	6950	19615

Stop Event

1×	node limit

Counts

900 → 479

Calls

Call 1

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

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

eval69.0ms (2.1%)

Compiler: Compiled 5 956 to 1 405 computations (76.4% saved)

prune89.0ms (2.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	530	4	534
Fresh	2	0	2
Picked	4	1	5
Done	0	1	1
Total	536	6	542

Accuracy

100.0%

Counts

542 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
▶	99.7%	(/.f64 (/.f64 x y) y)
▶	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	92.8%	(/.f64 x (*.f64 y y))
▶	99.5%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
▶	93.2%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)

Compiler

Compiled 50 to 33 computations (34% saved)

simplify88.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(/.f64 (/.f64 x y) y)
✓	cost-diff	0	(/.f64 y x)
	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(*.f64 (/.f64 y x) (neg.f64 y))
✓	cost-diff	192	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) y) y)
✓	cost-diff	128	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)

Rules

171×	`fma-define`
111×	`times-frac`
103×	`div-sub`
80×	`fmm-def`
55×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	259
1	41	259
2	81	235
3	141	235
4	302	235
5	526	235
6	907	235
7	1238	235
8	1284	235
9	1299	235
10	1304	235

Stop Event

1×

saturated

Calls

Call 1

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

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

localize122.0ms (3.7%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.7%	(/.f64 (/.f64 x y) y)
✓	accuracy	100.0%	(/.f64 y x)
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	99.8%	(*.f64 (/.f64 y x) (neg.f64 y))
✓	accuracy	99.6%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) y) y)
✓	accuracy	93.3%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)

Samples

97.0ms

256×

valid

Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 13.0ms (66.9% of total)

ival-mult: 4.0ms (20.6% of total)

ival-neg: 1.0ms (5.1% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

series7.0ms (0.2%)

Counts

8 → 144

Calls

Call 1

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

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

Calls

42 calls:

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

rewrite151.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`log1p-expm1-u`
932×	`expm1-log1p-u`
148×	`log1p-undefine`
117×	`frac-times`
115×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	178
1	293	122
2	4236	122

Stop Event

1×	node limit

Counts

8 → 424

Calls

Call 1

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

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

simplify259.0ms (7.8%)

Algorithm

1×	egg-herbie

Rules

663×	`fma-define`
460×	`fmm-def`
328×	`times-frac`
255×	`associate-/r*`
230×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	476	12967
1	965	11877
2	3724	11401
3	7640	11401

Stop Event

1×	node limit

Counts

568 → 293

Calls

Call 1

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

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

eval62.0ms (1.9%)

Compiler: Compiled 5 106 to 1 154 computations (77.4% saved)

prune142.0ms (4.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	470	0	470
Fresh	0	0	0
Picked	0	4	4
Done	0	2	2
Total	470	6	476

Accuracy

100.0%

Counts

476 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
✓	99.7%	(/.f64 (/.f64 x y) y)
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	92.8%	(/.f64 x (*.f64 y y))
✓	99.5%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
✓	93.2%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)

Compiler

Compiled 138 to 73 computations (47.1% saved)

regimes17.0ms (0.5%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(*.f64 y y)
4.0ms	x
4.0ms	y
4.0ms	(/.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(/.f64 x (*.f64 y y))`
99.7%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	y
1.0ms	x
1.0ms	(*.f64 y y)
1.0ms	(/.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
92.8%	1	`x`
92.8%	1	`y`
92.8%	1	`(/.f64 x (*.f64 y y))`
92.8%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness230.0ms (6.9%)

Rules

748×	`log1p-expm1-u`
748×	`expm1-log1p-u`
700×	`log-prod`
436×	`log1p-expm1-u`
436×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	93	29
2	1214	29
0	26	208
1	358	190
2	4446	190

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 45 to 22 computations (51.1% saved)

preprocess41.0ms (1.2%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 108 to 60 computations (44.4% saved)

Physics.ForceLayout:coulombForce from force-layout-0.4.0.2

analyze184.0ms (5.5%)

sample539.0ms (16.2%)

preprocess93.0ms (2.8%)

explain47.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.2%)

localize14.0ms (0.4%)

series15.0ms (0.5%)

rewrite241.0ms (7.2%)

simplify121.0ms (3.6%)

eval15.0ms (0.4%)

prune18.0ms (0.6%)

simplify17.0ms (0.5%)

localize85.0ms (2.6%)

series20.0ms (0.6%)

rewrite243.0ms (7.3%)

simplify394.0ms (11.8%)

eval69.0ms (2.1%)

prune89.0ms (2.7%)

simplify88.0ms (2.6%)

localize122.0ms (3.7%)

series7.0ms (0.2%)

rewrite151.0ms (4.5%)

simplify259.0ms (7.8%)

eval62.0ms (1.9%)

prune142.0ms (4.3%)

regimes17.0ms (0.5%)

regimes5.0ms (0.1%)

simplify2.0ms (0.1%)

soundness230.0ms (6.9%)

preprocess41.0ms (1.2%)

end0.0ms (0%)

Profiling