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

start0.0ms (0.0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze35.0ms (1.4%)

Memory

-11.7MiB live, 33.8MiB allocated; 9ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	0
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	1
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	2
50.0%	50.0%	50.0%	0.1%	0.0%	0.0%	0.0%	3
50.0%	50.0%	50.0%	0.1%	0.0%	0.0%	0.0%	4
62.5%	62.4%	37.5%	0.1%	0.0%	0.0%	0.0%	5
66.7%	62.4%	31.2%	0.1%	0.0%	6.2%	0.0%	6
75.0%	65.6%	21.9%	0.1%	0.0%	12.5%	0.0%	7
80.0%	68.7%	17.2%	0.1%	0.0%	14.0%	0.0%	8
85.7%	70.2%	11.7%	0.1%	0.0%	18.0%	0.0%	9
88.9%	71.8%	9.0%	0.1%	0.0%	19.1%	0.0%	10
92.3%	72.6%	6.0%	0.1%	0.0%	21.3%	0.0%	11
94.1%	73.4%	4.6%	0.1%	0.0%	22.0%	0.0%	12

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample821.0ms (33.7%)

Memory

3.5MiB live, 1 725.5MiB allocated; 414ms collecting garbage

Samples

507.0ms	8 256×	0	valid
15.0ms	333×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-mult!: 98.0ms (49.8% of total)

ival-sqrt: 74.0ms (37.6% of total)

ival-add!: 23.0ms (11.7% of total)

adjust: 2.0ms (1.0% of total)

Bogosity

preprocess72.0ms (2.9%)

Memory

-39.1MiB live, 81.6MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	38
1	51	38
2	141	38
3	304	38
4	764	38
5	3581	38

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.0%	(sqrt.f64 (+.f64 (*.f64 x x) y))

Symmetry

(abs x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample0.0ms (0.0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs

Outputs

series15.0ms (0.6%)

Memory

35.0MiB live, 35.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	735

Stop Event

1×	iter-limit

Counts

5 → 30

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
1.0ms	x	inf
1.0ms	x	-inf
1.0ms	x	0
1.0ms	y	inf
1.0ms	y	-inf

rewrite138.0ms (5.7%)

Memory

2.7MiB live, 189.2MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	37	16
2	108	16
3	363	16
4	789	16
5	3237	16
0	4817	14

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

5 → 258

Calls

Call 1

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

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

eval35.0ms (1.4%)

Memory: -26.0MiB live, 163.4MiB allocated; 14ms collecting garbage
Compiler: Compiled 5 212 to 1 069 computations (79.5% saved)

prune6.0ms (0.3%)

Memory

23.7MiB live, 23.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	278	6	284
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	279	6	285

Accuracy

100.0%

Counts

285 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.4%	(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x y))) (sqrt.f64 (sqrt.f64 (fma.f64 x x y))))
▶	71.0%	(sqrt.f64 (fma.f64 x x y))
▶	34.9%	(sqrt.f64 #s(approx (+ (* x x) y) y))
▶	34.8%	#s(approx (sqrt (+ (* x x) y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
	67.6%	#s(approx (sqrt (+ (* x x) y)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
▶	1.2%	#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))

Compiler

Compiled 134 to 96 computations (28.4% saved)

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
-1
1

Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series48.0ms (1.9%)

Memory

-23.3MiB live, 163.7MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	517	3161

Stop Event

1×	iter-limit

Counts

16 → 81

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (+ (* x x) y) y)
#s(approx (+ (* x x) y) (+.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))))
#s(approx (sqrt (+ (* x x) 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)) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (* -1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (sqrt (+ (* x x) y))) (sqrt.f64 (sqrt.f64 y)))
#s(approx (sqrt (sqrt (+ (* x x) y))) (+.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (+.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64)))))) (sqrt.f64 (sqrt.f64 y))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (+.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (sqrt.f64 (sqrt.f64 y))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64))))))) (sqrt.f64 (sqrt.f64 y))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))))))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64))))
#s(approx (+ (* x x) y) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* x x) y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* x x) y)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) y)) (.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))))))))
#s(approx (sqrt (+ (* x x) y)) (.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)))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/4 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/4 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (*.f64 (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 5 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (.f64 (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 5 binary64))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) y)) (.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))))))))
#s(approx (sqrt (+ (* x x) y)) (.f64 #s(literal -1 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)))))))))
#s(approx (sqrt (+ (* x x) y)) (.f64 #s(literal -1 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))))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/4 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (pow.f64 x #s(literal 3 binary64))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))) (pow.f64 x #s(literal 3 binary64))))))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) y)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) y))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 y (fma.f64 y (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (/ 1 y) (/.f64 #s(literal 1 binary64) y))
#s(approx (sqrt (/ 1 y)) (/.f64 (sqrt.f64 y) y))
#s(approx (sqrt (sqrt (+ (* x x) y))) (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 y (.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))) (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (.f64 y (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (fma.f64 y (fma.f64 y (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (fma.f64 y (fma.f64 y (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (+ (* x x) y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (sqrt (+ (* x x) 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)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
#s(approx (sqrt (+ (* x x) y)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ (* x x) y)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (sqrt (/ 1 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
#s(approx (sqrt (sqrt (+ (* x x) y))) (*.f64 y (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 y (+.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 y (+.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 5 binary64)) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 y (+.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 5 binary64)) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 3 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)))))))))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 2 binary64))))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 2 binary64))))))))
#s(approx (+ (* x x) y) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) y)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (+ (* x x) y)) (.f64 #s(literal -1 binary64) (.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)) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ (* x x) y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (sqrt (+ (* x x) y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (pow.f64 y #s(literal 3 binary64))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))) (pow.f64 y #s(literal 3 binary64))))))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) #s(literal 2 binary64)))))

Calls

6 calls:

Time	Variable	Point
4.0ms	y	0
3.0ms	x	-inf
3.0ms	y	-inf
3.0ms	x	0
2.0ms	y	inf

rewrite157.0ms (6.4%)

Memory

32.9MiB live, 416.3MiB allocated; 68ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	82
0	29	72
1	83	72
2	277	72
3	1208	72
0	4036	72

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

16 → 738

Calls

Call 1

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

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

eval140.0ms (5.7%)

Memory: -7.1MiB live, 323.9MiB allocated; 42ms collecting garbage
Compiler: Compiled 26 657 to 3 404 computations (87.2% saved)

prune58.0ms (2.4%)

Memory

-0.8MiB live, 89.9MiB allocated; 7ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	977	4	981
Fresh	0	1	1
Picked	5	0	5
Done	-4	4	0
Total	978	9	987

Accuracy

100.0%

Counts

987 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.4%	(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x y))) (sqrt.f64 (sqrt.f64 (fma.f64 x x y))))
▶	66.4%	(.f64 #s(approx (sqrt (sqrt (+ ( x x) y))) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (sqrt (sqrt (+ ( x x) y))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
✓	71.0%	(sqrt.f64 (fma.f64 x x y))
▶	36.9%	(sqrt.f64 (fabs.f64 #s(approx (+ (* x x) y) y)))
✓	34.9%	(sqrt.f64 #s(approx (+ (* x x) y) y))
▶	34.6%	#s(approx (sqrt (+ (* x x) y)) (.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 y #s(literal 2 binary64))))))
✓	34.8%	#s(approx (sqrt (+ (* x x) y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
▶	67.6%	#s(approx (sqrt (+ (* x x) y)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
▶	1.2%	#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))

Compiler

Compiled 201 to 130 computations (35.3% saved)

sample0.0ms (0.0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
1/2
2
(sqrt 2)

Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series138.0ms (5.7%)

Memory

-10.9MiB live, 158.7MiB allocated; 90ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	597	3627

Stop Event

1×	iter-limit

Counts

27 → 109

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (/ y (pow x 2)) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(approx (* 1/2 (/ y (pow x 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x))
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))))
#s(approx (sqrt (+ (* x x) 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)) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (+ (* x x) y) y)
#s(approx (+ (* x x) y) (+.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(approx (fabs (+ (* x x) y)) (fabs.f64 (+.f64 y (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (fabs (+ (* x x) y))) (sqrt.f64 (fabs.f64 (+.f64 y (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))
#s(approx (sqrt (sqrt (+ (* x x) y))) (sqrt.f64 (sqrt.f64 y)))
#s(approx (sqrt (sqrt (+ (* x x) y))) (+.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (+.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64)))))) (sqrt.f64 (sqrt.f64 y))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (+.f64 (sqrt.f64 (sqrt.f64 y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (sqrt.f64 (sqrt.f64 y))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64))))))) (sqrt.f64 (sqrt.f64 y))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))))))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) y)) (.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))))))))
#s(approx (sqrt (+ (* x x) y)) (.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)))))))))
#s(approx (+ (* x x) y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (* x (sqrt (/ 1 x))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/4 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/4 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (*.f64 (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 5 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (.f64 (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 5 binary64))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) y)) (.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))))))))
#s(approx (sqrt (+ (* x x) y)) (.f64 #s(literal -1 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)))))))))
#s(approx (sqrt (+ (* x x) y)) (.f64 #s(literal -1 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))))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/4 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/4 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (pow.f64 x #s(literal 3 binary64))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))) (pow.f64 x #s(literal 3 binary64))))))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) y)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) y))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 y (fma.f64 y (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* y 2) (*.f64 #s(literal 2 binary64) y))
#s(approx (sqrt (* y 2)) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))
#s(approx (/ (sqrt 2) (sqrt (* y 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))
#s(approx (* y (/ (sqrt 2) (sqrt (* y 2)))) (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) y))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 y (.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))) (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (.f64 y (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (fma.f64 y (fma.f64 y (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (fma.f64 y (fma.f64 y (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 x y))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (sqrt (+ (* x x) 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)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
#s(approx (sqrt (+ (* x x) y)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ (* x x) y)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (+ (* x x) y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
#s(approx (sqrt (* y 2)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 2 binary64) y))))
#s(approx (/ (sqrt 2) (sqrt (* y 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 2 binary64) y)))))
#s(approx (* y (/ (sqrt 2) (sqrt (* y 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) y))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (*.f64 y (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 y (+.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 y (+.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 5 binary64)) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 y (+.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 5 binary64)) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 3 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)))))))))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 2 binary64))))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 2 binary64))))))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (sqrt (+ (* x x) y)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (+ (* x x) y)) (.f64 #s(literal -1 binary64) (.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)) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ (* x x) y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (sqrt (+ (* x x) y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))))
#s(approx (+ (* x x) y) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64)))))
#s(approx (fabs (+ (* x x) y)) (fabs.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) y))))
#s(approx (sqrt (fabs (+ (* x x) y))) (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) y)))))
#s(approx (sqrt (* y 2)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 2 binary64) y)))))
#s(approx (/ (sqrt 2) (sqrt (* y 2))) (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 y (sqrt.f64 (/.f64 #s(literal 2 binary64) y))))))
#s(approx (* y (/ (sqrt 2) (sqrt (* y 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) y)))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (pow.f64 y #s(literal 3 binary64))))))))
#s(approx (sqrt (sqrt (+ (* x x) y))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))) (pow.f64 y #s(literal 3 binary64))))))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))) #s(literal 2 binary64)))))

Calls

6 calls:

Time	Variable	Point
7.0ms	y	0
4.0ms	y	-inf
3.0ms	y	inf
2.0ms	x	-inf
2.0ms	x	0

rewrite208.0ms (8.5%)

Memory

-23.7MiB live, 405.0MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	190
0	48	174
1	167	168
2	603	160
3	2530	160
0	4379	149

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

27 → 833

Calls

Call 1

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

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

eval101.0ms (4.1%)

Memory: 16.1MiB live, 297.1MiB allocated; 44ms collecting garbage
Compiler: Compiled 26 816 to 4 239 computations (84.2% saved)

prune25.0ms (1.0%)

Memory

11.3MiB live, 57.8MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	919	2	921
Fresh	0	0	0
Picked	5	0	5
Done	0	4	4
Total	924	6	930

Accuracy

100.0%

Counts

930 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.4%	(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x y))) (sqrt.f64 (sqrt.f64 (fma.f64 x x y))))
✓	71.0%	(sqrt.f64 (fma.f64 x x y))
✓	34.9%	(sqrt.f64 #s(approx (+ (* x x) y) y))
▶	67.2%	#s(approx (sqrt (+ (* x x) y)) (.f64 x #s(approx (+ 1 ( 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
✓	1.2%	#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
▶	3.5%	#s(approx (sqrt (+ (* x x) y)) #s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))

Compiler

Compiled 79 to 57 computations (27.8% saved)

sample0.0ms (0.0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/2
1

Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series19.0ms (0.8%)

Memory

4.3MiB live, 49.9MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	916

Stop Event

1×	iter-limit

Counts

11 → 38

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
5.0ms	y	-inf
2.0ms	x	0
1.0ms	y	inf
1.0ms	x	-inf
1.0ms	x	inf

rewrite200.0ms (8.2%)

Memory

-6.5MiB live, 319.1MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	97
0	23	97
1	106	97
2	406	89
3	1770	89
0	4877	82

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

11 → 165

Calls

Call 1

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

Outputs
x
y
#s(literal 1/2 binary64)
(.f64 (.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x)
(.f64 (.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))) y)
(.f64 (.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(.f64 (neg.f64 y) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(.f64 (/.f64 y (.f64 x x)) x)
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(.f64 x (/.f64 y (.f64 x x)))
(/.f64 (neg.f64 (*.f64 x (/.f64 y (fabs.f64 x)))) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (*.f64 x (/.f64 (neg.f64 y) x))) x)
(/.f64 (neg.f64 (.f64 x (neg.f64 y))) (.f64 x x))
(/.f64 (neg.f64 (*.f64 x (/.f64 y x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 x y)) (.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (*.f64 (/.f64 y (fabs.f64 x)) x)) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) x)) x)
(/.f64 (neg.f64 (.f64 (neg.f64 y) x)) (.f64 x x))
(/.f64 (neg.f64 (*.f64 (/.f64 y x) x)) (neg.f64 x))
(/.f64 (neg.f64 (.f64 y x)) (.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64))) x)
(/.f64 (neg.f64 (*.f64 y #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) y)) x)
(/.f64 (neg.f64 (/.f64 y #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 x (/.f64 y (fabs.f64 x))) (fabs.f64 x))
(/.f64 (*.f64 x (/.f64 (neg.f64 y) x)) (neg.f64 x))
(/.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 x) x))
(/.f64 (*.f64 x (/.f64 y x)) x)
(/.f64 (.f64 x y) (.f64 x x))
(/.f64 (*.f64 (/.f64 y (fabs.f64 x)) x) (fabs.f64 x))
(/.f64 (*.f64 (/.f64 (neg.f64 y) x) x) (neg.f64 x))
(/.f64 (.f64 (neg.f64 y) x) (.f64 (neg.f64 x) x))
(/.f64 (*.f64 (/.f64 y x) x) x)
(/.f64 (.f64 y x) (.f64 x x))
(/.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 x))
(/.f64 (/.f64 y #s(literal 1 binary64)) x)
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 y x)
(neg.f64 (.f64 (/.f64 y (.f64 (neg.f64 x) x)) x))
(neg.f64 (.f64 x (/.f64 y (.f64 (neg.f64 x) x))))
(neg.f64 (/.f64 (neg.f64 y) x))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) y)
(.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (fabs.f64 x))) (/.f64 y (fabs.f64 x)))
(.f64 (.f64 x (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (neg.f64 y) x))
(.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 x y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(.f64 (/.f64 (neg.f64 x) (fabs.f64 x)) (/.f64 (.f64 #s(literal -1/2 binary64) y) (fabs.f64 x)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) y) (fabs.f64 x)) (/.f64 (neg.f64 x) (fabs.f64 x)))
(.f64 (copysign.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 y (fabs.f64 x))))
(.f64 (/.f64 (neg.f64 x) x) (.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(.f64 (/.f64 x x) (.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y (*.f64 x x)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (fabs.f64 x))) (copysign.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 (neg.f64 x) x))
(.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (.f64 (/.f64 y (fabs.f64 x)) x))
(.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (/.f64 (neg.f64 y) x) x))
(.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (/.f64 y x) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
(.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) (/.f64 x x))
(.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 1/2 binary64) y) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(.f64 (neg.f64 y) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) x)))
(.f64 (neg.f64 y) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)) x)
(.f64 (/.f64 y (.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(.f64 y (.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(.f64 x (.f64 #s(literal 1 binary64) (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64))))
(.f64 x (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y (fabs.f64 x)))) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 y) x))) x)
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 y))) (*.f64 x x))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y (fabs.f64 x))))) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 y x)))) x)
(/.f64 (neg.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y))) (*.f64 x x))
(/.f64 (neg.f64 (.f64 x (.f64 (/.f64 y x) #s(literal 1/2 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (fabs.f64 x))) x)) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) x)) x)
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) x)) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (/.f64 y (fabs.f64 x)) (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (.f64 (/.f64 (neg.f64 y) x) (.f64 #s(literal 1/2 binary64) x))) x)
(/.f64 (neg.f64 (.f64 (neg.f64 y) (.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))
(/.f64 (neg.f64 (.f64 (/.f64 y x) (.f64 #s(literal 1/2 binary64) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (neg.f64 (fabs.f64 x)))) (neg.f64 (neg.f64 (fabs.f64 x))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (neg.f64 x))) x)
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) x)) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x))) (*.f64 x x))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y (fabs.f64 x))) (fabs.f64 x))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 y) x)) (neg.f64 x))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 y)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y x)) x)
(/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y (fabs.f64 x)))) (fabs.f64 x))
(/.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 y x))) (neg.f64 x))
(/.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 x (.f64 (/.f64 y x) #s(literal 1/2 binary64))) x)
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (fabs.f64 x))) x) (fabs.f64 x))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) x) (neg.f64 x))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) x) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) x) x)
(/.f64 (.f64 (/.f64 y (fabs.f64 x)) (.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x))
(/.f64 (.f64 (/.f64 (neg.f64 y) x) (.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
(/.f64 (.f64 (neg.f64 y) (.f64 #s(literal 1/2 binary64) x)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (/.f64 y x) (.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) x) x)
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) x)
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (*.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* x x) y)) #s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 (/.f64 y x) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))
(.f64 (.f64 #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(.f64 #s(approx (+ 1 ( 1/2 (/ y (pow x 2)))) #s(literal 1 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64)) x))
(.f64 x (.f64 #s(literal 1 binary64) #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
(.f64 x #s(approx (+ 1 ( 1/2 (/ y (pow x 2)))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) y)) (.f64 #s(approx (+ 1 ( 1/2 (/ y (pow x 2)))) #s(literal 1 binary64)) x))

eval24.0ms (1.0%)

Memory: 1.8MiB live, 48.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 5 540 to 849 computations (84.7% saved)

prune5.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	0	0
Picked	2	0	2
Done	-2	6	4
Total	194	6	200

Accuracy

100.0%

Counts

200 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.4%	(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x y))) (sqrt.f64 (sqrt.f64 (fma.f64 x x y))))
✓	71.0%	(sqrt.f64 (fma.f64 x x y))
✓	34.9%	(sqrt.f64 #s(approx (+ (* x x) y) y))
✓	67.2%	#s(approx (sqrt (+ (* x x) y)) (.f64 x #s(approx (+ 1 ( 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
✓	1.2%	#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
✓	3.5%	#s(approx (sqrt (+ (* x x) y)) #s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))

Compiler

Compiled 79 to 57 computations (27.8% saved)

regimes66.0ms (2.7%)

Memory

-17.4MiB live, 223.4MiB allocated; 18ms collecting garbage

Counts

1 → 1

3 → 1

4 → 2

6 → 2

13 → 2

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))

Outputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))

Call 2

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

Outputs
(sqrt.f64 #s(approx (+ (* x x) y) y))

Call 3

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

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

Call 4

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

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

Call 5

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

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

Calls

21 calls:

11.0ms	(*.f64 x x)
6.0ms	x
5.0ms	x
4.0ms	y
4.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))

Results

Accuracy	Segments	Branch
1.2%	1	`(*.f64 x x)`
1.2%	1	`(+.f64 (*.f64 x x) y)`
1.2%	1	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
1.2%	1	`y`
1.2%	1	`x`
34.9%	1	`(+.f64 (*.f64 x x) y)`
34.9%	1	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
34.9%	1	`y`
34.9%	1	`(*.f64 x x)`
34.9%	1	`x`
91.6%	2	`(*.f64 x x)`
91.6%	2	`x`
91.7%	2	`(*.f64 x x)`
72.9%	2	`(+.f64 (*.f64 x x) y)`
72.9%	2	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
91.7%	2	`x`
100.0%	2	`(*.f64 x x)`
100.0%	2	`(+.f64 (*.f64 x x) y)`
100.0%	2	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
100.0%	2	`x`
87.9%	2	`y`

Compiler

Compiled 247 to 128 computations (48.2% saved)

bsearch2.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	5.269069190022753e+110	3.7237364479233265e+112

Samples

1.0ms

16×

valid

Compiler

Compiled 34 to 32 computations (5.9% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

ival-add!: 0.0ms (0.0% of total)

ival-sqrt: 0.0ms (0.0% of total)

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

bsearch25.0ms (1.0%)

Memory

-6.7MiB live, 52.5MiB allocated; 22ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	2.9591528919427282e-30	9.377581186869355e-28

Samples

18.0ms

128×

valid

Compiler

Compiled 241 to 210 computations (12.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult!: 14.0ms (93.6% of total)

ival-sqrt: 1.0ms (6.7% of total)

adjust: 0.0ms (0.0% of total)

ival-add!: 0.0ms (0.0% of total)

bsearch1.0ms (0.0%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.9591528919427282e-30	9.377581186869355e-28

Compiler

Compiled 233 to 202 computations (13.3% saved)

derivations47.0ms (1.9%)

Memory

27.4MiB live, 117.4MiB allocated; 8ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 111 to 31 computations (72.1% saved)

preprocess54.0ms (2.2%)

Memory: -6.4MiB live, 128.7MiB allocated; 42ms collecting garbage
Compiler: Compiled 360 to 196 computations (45.6% saved)

end0.0ms (0.0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

start0.0ms (0.0%)

analyze35.0ms (1.4%)

sample821.0ms (33.7%)

preprocess72.0ms (2.9%)

sample0.0ms (0.0%)

series15.0ms (0.6%)

rewrite138.0ms (5.7%)

eval35.0ms (1.4%)

prune6.0ms (0.3%)

sample0.0ms (0.0%)

series48.0ms (1.9%)

rewrite157.0ms (6.4%)

eval140.0ms (5.7%)

prune58.0ms (2.4%)

sample0.0ms (0.0%)

series138.0ms (5.7%)

rewrite208.0ms (8.5%)

eval101.0ms (4.1%)

prune25.0ms (1.0%)

sample0.0ms (0.0%)

series19.0ms (0.8%)

rewrite200.0ms (8.2%)

eval24.0ms (1.0%)

prune5.0ms (0.2%)

regimes66.0ms (2.7%)

bsearch2.0ms (0.1%)

bsearch25.0ms (1.0%)

bsearch1.0ms (0.0%)

derivations47.0ms (1.9%)

preprocess54.0ms (2.2%)

end0.0ms (0.0%)

Profiling