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

start0.0ms (0.0%)

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

analyze17.0ms (0.9%)

Memory

37.5MiB live, 37.5MiB allocated; 0ms 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)

sample667.0ms (34.8%)

Memory

37.6MiB live, 1 256.4MiB allocated; 239ms collecting garbage

Samples

406.0ms	8 256×	0	valid
54.0ms	320×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-sqrt: 99.0ms (51.4% of total)

ival-mult!: 68.0ms (35.3% of total)

ival-add!: 24.0ms (12.5% of total)

adjust: 2.0ms (1.0% of total)

Bogosity

preprocess83.0ms (4.3%)

Memory

-45.5MiB live, 50.5MiB allocated; 71ms 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
▶	68.3%	(sqrt.f64 (+.f64 (*.f64 x x) y))

Symmetry

(abs x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series14.0ms (0.7%)

Memory

37.7MiB live, 37.7MiB 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
(sqrt.f64 (+.f64 (*.f64 x x) y))
(+.f64 (*.f64 x x) y)
(*.f64 x x)
x
y

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

Calls

6 calls:

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

rewrite141.0ms (7.4%)

Memory

-33.8MiB live, 202.9MiB allocated; 39ms 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
(sqrt.f64 (+.f64 (*.f64 x x) y))
(+.f64 (*.f64 x x) y)
(*.f64 x x)
x
y

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

eval31.0ms (1.6%)

Memory: 41.0MiB live, 86.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 5 211 to 1 067 computations (79.5% saved)

prune8.0ms (0.4%)

Memory

-22.3MiB live, 23.2MiB allocated; 3ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	279	5	284
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	280	5	285

Accuracy

100.0%

Counts

285 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.4%	(sqrt.f64 (fma.f64 x x y))
▶	33.8%	(sqrt.f64 #s(approx (+ (* x x) y) y))
▶	33.7%	#s(approx (sqrt (+ (* x x) y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
▶	68.8%	#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 108 to 84 computations (22.2% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1
1/2
2
-1

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

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series27.0ms (1.4%)

Memory

-0.6MiB live, 49.2MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	1011

Stop Event

1×	iter-limit

Counts

22 → 46

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
3.0ms	y	inf
3.0ms	y	-inf
2.0ms	x	0
2.0ms	y	0
1.0ms	x	inf

rewrite136.0ms (7.1%)

Memory

38.5MiB live, 269.5MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	117
0	36	115
1	126	115
2	460	107
3	2046	107
0	4674	104

Stop Event

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

Counts

22 → 979

Calls

Call 1

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

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

eval255.0ms (13.3%)

Memory: -58.3MiB live, 341.0MiB allocated; 205ms collecting garbage
Compiler: Compiled 21 786 to 4 575 computations (79.0% saved)

prune20.0ms (1.0%)

Memory

7.5MiB live, 53.7MiB allocated; 5ms collecting garbage

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1 005	4	1 009
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 008	6	1 014

Accuracy

100.0%

Counts

1 014 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.4%	(sqrt.f64 (fma.f64 x x y))
▶	35.5%	(sqrt.f64 (fabs.f64 #s(approx (+ (* x x) y) y)))
✓	33.8%	(sqrt.f64 #s(approx (+ (* x x) y) y))
▶	68.6%	#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))
▶	3.7%	#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 75 to 58 computations (22.7% saved)

sample0.0ms (0.0%)

Memory

1.2MiB live, 1.2MiB 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)

series18.0ms (0.9%)

Memory

32.1MiB live, 32.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	1038

Stop Event

1×	iter-limit

Counts

16 → 47

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite221.0ms (11.6%)

Memory

-1.8MiB live, 319.3MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	132
0	31	132
1	119	132
2	440	124
3	1907	124
0	5340	113

Stop Event

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

Counts

16 → 242

Calls

Call 1

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

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

eval50.0ms (2.6%)

Memory: 11.6MiB live, 97.4MiB allocated; 21ms collecting garbage
Compiler: Compiled 7 064 to 1 063 computations (85.0% saved)

prune7.0ms (0.4%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	275	0	275
Fresh	0	0	0
Picked	0	4	4
Done	0	2	2
Total	275	6	281

Accuracy

100.0%

Counts

281 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.4%	(sqrt.f64 (fma.f64 x x y))
✓	35.5%	(sqrt.f64 (fabs.f64 #s(approx (+ (* x x) y) y)))
✓	33.8%	(sqrt.f64 #s(approx (+ (* x x) y) y))
✓	68.6%	#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))
✓	3.7%	#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 75 to 58 computations (22.7% saved)

regimes93.0ms (4.9%)

Memory

-52.8MiB live, 152.5MiB allocated; 62ms collecting garbage

Counts

1 → 1

3 → 1

4 → 2

6 → 2

10 → 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 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:

7.0ms	(*.f64 x x)
4.0ms	y
4.0ms	x
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
1.2%	1	`y`
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	`x`
33.8%	1	`(+.f64 (*.f64 x x) y)`
33.8%	1	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
33.8%	1	`y`
33.8%	1	`(*.f64 x x)`
33.8%	1	`x`
89.5%	2	`(*.f64 x x)`
89.5%	2	`x`
89.6%	2	`(*.f64 x x)`
75.1%	2	`(+.f64 (*.f64 x x) y)`
75.1%	2	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
89.6%	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`
83.3%	2	`y`

Compiler

Compiled 189 to 114 computations (39.7% saved)

bsearch6.0ms (0.3%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.7365833866996e+106	4.105187153451371e+106

Samples

3.0ms

80×

valid

Compiler

Compiled 134 to 120 computations (10.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-sqrt: 1.0ms (82.3% of total)

adjust: 0.0ms (0.0% of total)

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

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

bsearch5.0ms (0.3%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	3.7299347520776285e-67	6.95381176765891e-67

Samples

2.0ms

64×

valid

Compiler

Compiled 125 to 110 computations (12.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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)

bsearch17.0ms (0.9%)

Memory

-25.3MiB live, 23.5MiB allocated; 13ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.811586797665845e-72	2.523875429687543e-69

Samples

12.0ms

128×

valid

Compiler

Compiled 233 to 202 computations (13.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sqrt: 1.0ms (51.7% of total)

ival-mult!: 1.0ms (51.7% of total)

adjust: 0.0ms (0.0% of total)

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

derivations55.0ms (2.8%)

Memory

1.4MiB live, 92.1MiB allocated; 11ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 111 to 33 computations (70.3% saved)

preprocess44.0ms (2.3%)

Memory: 28.6MiB live, 129.2MiB allocated; 10ms collecting garbage
Compiler: Compiled 360 to 198 computations (45.0% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze17.0ms (0.9%)

sample667.0ms (34.8%)

preprocess83.0ms (4.3%)

sample0.0ms (0.0%)

series14.0ms (0.7%)

rewrite141.0ms (7.4%)

eval31.0ms (1.6%)

prune8.0ms (0.4%)

sample0.0ms (0.0%)

series27.0ms (1.4%)

rewrite136.0ms (7.1%)

eval255.0ms (13.3%)

prune20.0ms (1.0%)

sample0.0ms (0.0%)

series18.0ms (0.9%)

rewrite221.0ms (11.6%)

eval50.0ms (2.6%)

prune7.0ms (0.4%)

regimes93.0ms (4.9%)

bsearch6.0ms (0.3%)

bsearch5.0ms (0.3%)

bsearch17.0ms (0.9%)

derivations55.0ms (2.8%)

preprocess44.0ms (2.3%)

end0.0ms (0.0%)

Profiling