Metrics for Linear.Quaternion:$clog from linear-1.19.1.3

analyze28.0ms (0.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
66.7%	62.4%	31.2%	0.1%	0%	6.2%	0%	6
75%	65.6%	21.9%	0.1%	0%	12.5%	0%	7
80%	68.7%	17.2%	0.1%	0%	14%	0%	8
85.7%	70.2%	11.7%	0.1%	0%	18%	0%	9
88.9%	71.8%	9%	0.1%	0%	19.1%	0%	10
92.3%	72.6%	6%	0.1%	0%	21.3%	0%	11
94.1%	73.4%	4.6%	0.1%	0%	22%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions

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

Operation ival-sqrt, time spent: 5.0ms, 46.0% of total-time

Operation ival-mult, time spent: 3.0ms, 28.0% of total-time

Operation ival-add, time spent: 2.0ms, 18.0% of total-time

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

sample1.2s (29.3%)

Results

1.1s	8255×	256	valid
22.0ms	333×	256	invalid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 348.0ms

Operation ival-mult, time spent: 144.0ms, 41.0% of total-time

Operation ival-sqrt, time spent: 111.0ms, 32.0% of total-time

Operation ival-add, time spent: 85.0ms, 24.0% of total-time

Operation const, time spent: 9.0ms, 3.0% of total-time

Bogosity

preprocess147.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

110×	`fmm-def`
74×	`fma-define`
29×	`sub-neg`
18×	`associate--r+`
17×	`associate-+l-`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
87	-	-	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
0	-	-	`x`
0	-	-	`(*.f64 x x)`
0	-	-	`y`
0	-	-	`(+.f64 (*.f64 x x) y)`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	170
1	46	170
2	83	170
3	162	170
4	268	170
5	361	170
6	458	170
7	508	170
8	522	170
9	525	170

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
(sqrt.f64 (+.f64 (*.f64 x x) y))
(sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y))
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 y)))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y)))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 y))))
(sqrt.f64 (+.f64 (*.f64 y y) x))

Outputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
(sqrt.f64 (fma.f64 x x y))
(sqrt.f64 (+.f64 (*.f64 x x) y))
(sqrt.f64 (fma.f64 x x y))
(sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y))
(sqrt.f64 (fma.f64 x x y))
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 y)))
(sqrt.f64 (-.f64 (*.f64 x x) y))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y)))
(neg.f64 (sqrt.f64 (fma.f64 x x y)))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 y))))
(neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) y)))
(sqrt.f64 (+.f64 (*.f64 y y) x))
(sqrt.f64 (fma.f64 y y x))

Symmetry

(abs x)

Compiler

Compiled 46 to 17 computations (63% saved)

Precisions

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

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

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

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

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

eval0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.4%	(sqrt.f64 (+.f64 (*.f64 x x) y))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize35.0ms (0.9%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	68.4%	(sqrt.f64 (+.f64 (*.f64 x x) y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

Precisions

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

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

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

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

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

series5.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite228.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

507×	`log1p-expm1-u`
507×	`expm1-log1p-u`
495×	`prod-diff`
446×	`unpow-prod-down`
435×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	118	17
2	1457	17

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

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

simplify95.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

793×	`fma-define`
622×	`associate-r`
543×	`associate-l`
336×	`distribute-lft-neg-in`
297×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	249	3043
1	581	2953
2	1727	2921
3	6174	2901

Stop Event

1×	node limit

Counts

71 → 140

Calls

Call 1

Inputs
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(+.f64 (sqrt.f64 y) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(+.f64 (sqrt.f64 y) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 x (.f64 y (+.f64 (.f64 y (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 y)
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(+.f64 #s(literal 0 binary64) (hypot.f64 x (sqrt.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 1 binary64))
(*.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 (hypot.f64 x (sqrt.f64 y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (hypot.f64 x (sqrt.f64 y)))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) (sqrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64))) (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))) (pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 x (sqrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (fma.f64 x x y) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 2 binary64))
(fabs.f64 (hypot.f64 x (sqrt.f64 y)))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 y))))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 y))))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) #s(literal 1 binary64)))

Outputs
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))
(+.f64 (sqrt.f64 y) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(+.f64 (sqrt.f64 y) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64)))) (sqrt.f64 y))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))) (sqrt.f64 y))
(+.f64 (sqrt.f64 y) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
(+.f64 (sqrt.f64 y) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y))
(fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 y)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 x (.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
(.f64 x (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 x))
(-.f64 (.f64 #s(literal -1 binary64) (.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
(.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 x))
(.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))
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(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))) (sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 y) x))) (sqrt.f64 (pow.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64))) (sqrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64))) (sqrt.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 y) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 3 binary64)))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 y) x))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 y) x))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 y) x)) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 y) x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (fma.f64 x x y) #s(literal 1/2 binary64))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 3 binary64))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 2 binary64))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(fabs.f64 (hypot.f64 x (sqrt.f64 y)))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 y))))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(hypot.f64 (sqrt.f64 y) x)
(hypot.f64 x (sqrt.f64 y))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 y))))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 3 binary64)))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 1/3 binary64)))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 2 binary64)))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)

eval56.0ms (1.4%)

Compiler: Compiled 2606 to 1769 computations (32.1% saved)

prune22.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	136	4	140
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	136	5	141

Accuracy

100.0%

Counts

141 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.8%	(+.f64 x (.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1/2 binary64) x))))
▶	67.8%	(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
✓	68.4%	(sqrt.f64 (+.f64 (*.f64 x x) y))
▶	35.5%	(sqrt.f64 y)
▶	67.6%	x

Compiler

Compiled 35 to 24 computations (31.4% saved)

localize138.0ms (3.5%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.7%	(*.f64 y (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 53 to 29 computations (45.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

Operation ival-mult, time spent: 15.0ms, 49.0% of total-time

Operation ival-div, time spent: 9.0ms, 29.0% of total-time

Operation ival-add, time spent: 3.0ms, 10.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 6.0% of total-time

Operation const, time spent: 2.0ms, 6.0% of total-time

series4.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite69.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

419×	`log1p-expm1-u`
419×	`expm1-log1p-u`
402×	`add-exp-log`
390×	`add-log-exp`
386×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	95	19
2	1161	19

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

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

simplify73.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

480×	`associate-r`
475×	`distribute-lft-neg-out`
434×	`associate-l`
386×	`distribute-rgt-neg-out`
356×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	1322
1	204	1322
2	573	1304
3	4183	1304

Stop Event

1×	node limit

Counts

58 → 49

Calls

Call 1

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

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

eval16.0ms (0.4%)

Compiler: Compiled 701 to 501 computations (28.5% saved)

prune9.0ms (0.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	47	7	54

Accuracy

100.0%

Counts

54 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.8%	(+.f64 x (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 y #s(literal 1/2 binary64))))))
▶	67.8%	(+.f64 x (.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))))
✓	67.8%	(+.f64 x (.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1/2 binary64) x))))
✓	67.8%	(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
✓	68.4%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	35.5%	(sqrt.f64 y)
✓	67.6%	x

Compiler

Compiled 63 to 46 computations (27% saved)

localize414.0ms (10.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))
✓	60.5%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))

Compiler

Compiled 94 to 68 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

Operation ival-div, time spent: 103.0ms, 48.0% of total-time

Operation ival-mult, time spent: 76.0ms, 36.0% of total-time

Operation ival-add, time spent: 18.0ms, 8.0% of total-time

Operation ival-sub, time spent: 8.0ms, 4.0% of total-time

Operation const, time spent: 7.0ms, 3.0% of total-time

series9.0ms (0.2%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(- (+ 1 (/ (* y 1/2) x)) 1)
0.0ms	y	@	-inf	(- (+ 1 (/ (* y 1/2) x)) 1)
0.0ms	x	@	0	(- (+ 1 (/ (* y 1/2) x)) 1)
0.0ms	x	@	-inf	(- (+ 1 (/ (* y 1/2) x)) 1)
0.0ms	x	@	-inf	(/ 1 (/ x (* y 1/2)))

rewrite124.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

963×	`log1p-expm1-u`
963×	`expm1-log1p-u`
624×	`fma-define`
478×	`log-prod`
239×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	214	38
2	2962	38

Stop Event

1×	node limit

Counts

2 → 279

Calls

Call 1

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

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

simplify216.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

656×	`times-frac`
477×	`distribute-lft-in`
439×	`distribute-rgt-in`
293×	`cancel-sign-sub-inv`
281×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	8279
1	673	8149
2	1989	8113

Stop Event

1×	node limit

Counts

327 → 180

Calls

Call 1

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

Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
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(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))

eval121.0ms (3%)

Compiler: Compiled 3237 to 2221 computations (31.4% saved)

prune32.0ms (0.8%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	177	3	180
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	178	9	187

Accuracy

100.0%

Counts

187 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.8%	(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y))))
▶	67.8%	(+.f64 x (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 2 binary64) y)))))
▶	67.8%	(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))))
✓	67.8%	(+.f64 x (.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))))
✓	67.8%	(+.f64 x (.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1/2 binary64) x))))
✓	67.8%	(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
✓	68.4%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	35.5%	(sqrt.f64 y)
✓	67.6%	x

Compiler

Compiled 87 to 64 computations (26.4% saved)

localize208.0ms (5.2%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y))
✓	99.7%	(*.f64 x (/.f64 #s(literal 2 binary64) y))
✓	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
✓	99.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 x y))

Compiler

Compiled 107 to 70 computations (34.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

Operation ival-div, time spent: 49.0ms, 64.0% of total-time

Operation ival-mult, time spent: 19.0ms, 25.0% of total-time

Operation ival-add, time spent: 4.0ms, 5.0% of total-time

Operation const, time spent: 4.0ms, 5.0% of total-time

series7.0ms (0.2%)

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(* x (/ 2 y))
1.0ms	x	@	0	(* x (/ 2 y))
0.0ms	x	@	-inf	(* x (/ 2 y))
0.0ms	x	@	inf	(* x (/ 2 y))
0.0ms	y	@	inf	(* x (/ 2 y))

rewrite123.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`log1p-expm1-u`
954×	`expm1-log1p-u`
554×	`log-prod`
152×	`expm1-undefine`
152×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	234	76
2	3140	76

Stop Event

1×	node limit

Counts

4 → 230

Calls

Call 1

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

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

simplify300.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

626×	`cube-prod`
593×	`exp-prod`
533×	`fmm-def`
459×	`times-frac`
417×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	245	7614
1	552	7554
2	1703	7434
3	5963	7320

Stop Event

1×	node limit

Counts

326 → 131

Calls

Call 1

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

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

eval89.0ms (2.2%)

Compiler: Compiled 1989 to 1456 computations (26.8% saved)

prune90.0ms (2.2%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	128	3	131
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	128	12	140

Accuracy

100.0%

Counts

140 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.8%	(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y))))
	67.8%	(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) x)))))
	67.8%	(+.f64 x (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
✓	67.8%	(+.f64 x (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 2 binary64) y)))))
✓	67.8%	(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))))
✓	67.8%	(+.f64 x (.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))))
	67.8%	(+.f64 x (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)))))
✓	67.8%	(+.f64 x (.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1/2 binary64) x))))
✓	67.8%	(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
✓	68.4%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	35.5%	(sqrt.f64 y)
✓	67.6%	x

Compiler

Compiled 253 to 186 computations (26.5% saved)

regimes39.0ms (1%)

Counts

13 → 2

Calls

Call 1

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

Outputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
x

Calls

5 calls:

9.0ms	(+.f64 (*.f64 x x) y)
8.0ms	y
8.0ms	x
6.0ms	(*.f64 x x)
6.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))

Results

Accuracy	Segments	Branch
100.0%	2	`x`
85.7%	2	`y`
100.0%	2	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
100.0%	2	`(+.f64 (*.f64 x x) y)`
100.0%	2	`(*.f64 x x)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes9.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
89.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes41.0ms (1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

37.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
67.8%	1	`y`
67.8%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
67.6%	1	`y`
67.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.3688522590561003e+236	4.3828729044946155e+236

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch19.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.723116141251895e-9	3.767418931883508e-5

Results

15.0ms	127×	256	valid
2.0ms	22×	256	invalid
0.0ms	1×	256	valid

Compiler

Compiled 133 to 97 computations (27.1% saved)

Precisions

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

Operation ival-sqrt, time spent: 3.0ms, 52.0% of total-time

Operation ival-add, time spent: 1.0ms, 17.0% of total-time

Operation ival-mult, time spent: 1.0ms, 17.0% of total-time

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	131
1	28	131

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 x x) #s(literal 400000000000000021266407865063859614241355783009804038934278919481755660891686623783800171653972196361028867272500483758518017805522146154926768652360816155067966815893368940537990027350513329249418551341165922688449477222814365526261760 binary64)) (sqrt.f64 (+.f64 (.f64 x x) y)) x)
(if (<=.f64 x #s(literal 4382356096103031/75557863725914323419136 binary64)) (sqrt.f64 y) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
x

Outputs
(if (<=.f64 (.f64 x x) #s(literal 400000000000000021266407865063859614241355783009804038934278919481755660891686623783800171653972196361028867272500483758518017805522146154926768652360816155067966815893368940537990027350513329249418551341165922688449477222814365526261760 binary64)) (sqrt.f64 (+.f64 (.f64 x x) y)) x)
(if (<=.f64 x #s(literal 4382356096103031/75557863725914323419136 binary64)) (sqrt.f64 y) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
x

Compiler

Compiled 42 to 26 computations (38.1% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess63.0ms (1.6%)

Compiler: Compiled 240 to 134 computations (44.2% saved)

Iter	Nodes	Cost
0	23	170
1	46	170
2	83	170
3	162	170
4	268	170
5	361	170
6	458	170
7	508	170
8	522	170
9	525	170

Iter	Nodes	Cost
0	23	170
1	46	170
2	83	170
3	162	170
4	268	170
5	361	170
6	458	170
7	508	170
8	522	170
9	525	170

analyze28.0ms (0.7%)

sample1.2s (29.3%)

preprocess147.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize35.0ms (0.9%)

series5.0ms (0.1%)

rewrite228.0ms (5.7%)

simplify95.0ms (2.4%)

eval56.0ms (1.4%)

prune22.0ms (0.5%)

localize138.0ms (3.5%)

series4.0ms (0.1%)

rewrite69.0ms (1.7%)

simplify73.0ms (1.8%)

eval16.0ms (0.4%)

prune9.0ms (0.2%)

localize414.0ms (10.3%)

series9.0ms (0.2%)

rewrite124.0ms (3.1%)

simplify216.0ms (5.4%)

eval121.0ms (3%)

prune32.0ms (0.8%)

localize208.0ms (5.2%)

series7.0ms (0.2%)

rewrite123.0ms (3.1%)

simplify300.0ms (7.5%)

eval89.0ms (2.2%)

prune90.0ms (2.2%)

regimes39.0ms (1%)

regimes9.0ms (0.2%)

regimes41.0ms (1%)

regimes2.0ms (0.1%)

bsearch0.0ms (0%)

bsearch19.0ms (0.5%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess63.0ms (1.6%)

Profiling

Iter	Nodes	Cost
0	23	170
1	46	170
2	83	170
3	162	170
4	268	170
5	361	170
6	458	170
7	508	170
8	522	170
9	525	170