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

analyze16.0ms (1.0%)

Memory

29.9MiB live, 29.9MiB 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)

sample666.0ms (40.6%)

Memory

34.1MiB live, 1 158.3MiB allocated; 205ms collecting garbage

Samples

424.0ms	8 256×	0	valid
33.0ms	351×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-sqrt: 68.0ms (41.0% of total)

ival-mult!: 53.0ms (32.0% of total)

ival-add!: 43.0ms (25.9% of total)

adjust: 2.0ms (1.2% of total)

Bogosity

preprocess41.0ms (2.5%)

Memory

-37.4MiB live, 54.9MiB allocated; 6ms 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
▶	70.9%	(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 (0.9%)

Memory

37.6MiB live, 37.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	735

Stop Event

1×	iter-limit

Counts

5 → 30

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite181.0ms (11.0%)

Memory

-27.1MiB live, 217.2MiB allocated; 79ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 258

Calls

Call 1

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

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

eval34.0ms (2.1%)

Memory: 10.6MiB live, 102.0MiB allocated; 8ms collecting garbage
Compiler: Compiled 5 212 to 1 069 computations (79.5% saved)

prune6.0ms (0.3%)

Memory

22.0MiB live, 22.0MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	280	4	284
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	281	4	285

Accuracy

100.0%

Counts

285 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.9%	(sqrt.f64 (fma.f64 x x y))
▶	35.2%	(sqrt.f64 #s(approx (+ (* x x) y) y))
▶	67.8%	#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)))))))
▶	1.3%	#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))

Compiler

Compiled 41 to 32 computations (22.0% saved)

sample0.0ms (0.0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
-1
1
1/2
2

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

series20.0ms (1.2%)

Memory

1.1MiB live, 47.4MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	984

Stop Event

1×	iter-limit

Counts

18 → 43

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (* -1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (/ y (pow x 2)) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(approx (* 1/2 (/ y (pow x 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x))
#s(approx (+ (* 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) (*.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 (+ 1 (* 1/2 (/ y (pow x 2)))) (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 x y))))
#s(approx (+ (* 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 (+ 1 (* 1/2 (/ y (pow x 2)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* 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	x	0
3.0ms	y	-inf
2.0ms	y	inf
1.0ms	x	inf
1.0ms	x	-inf

rewrite149.0ms (9.1%)

Memory

-4.3MiB live, 282.8MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	92
0	29	90
1	107	90
2	404	82
3	1918	82
0	4334	79

Stop Event

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

Counts

18 → 816

Calls

Call 1

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

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

eval179.0ms (10.9%)

Memory: -24.5MiB live, 182.1MiB allocated; 158ms collecting garbage
Compiler: Compiled 18 701 to 3 866 computations (79.3% saved)

prune17.0ms (1.1%)

Memory

-6.5MiB live, 39.7MiB allocated; 3ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	843	2	845
Fresh	0	0	0
Picked	4	0	4
Done	-2	2	0
Total	845	4	849

Accuracy

100.0%

Counts

849 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.9%	(sqrt.f64 (fma.f64 x x y))
✓	35.2%	(sqrt.f64 #s(approx (+ (* x x) y) y))
▶	67.8%	#s(approx (sqrt (+ (* x x) y)) (.f64 x #s(approx (+ 1 ( 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
▶	1.3%	#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))

Compiler

Compiled 42 to 33 computations (21.4% saved)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series11.0ms (0.7%)

Memory

24.6MiB live, 24.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	177	903

Stop Event

1×	iter-limit

Counts

7 → 36

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite117.0ms (7.1%)

Memory

-15.8MiB live, 174.9MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	57
0	19	57
1	87	57
2	297	57
3	1227	57
0	4005	52

Stop Event

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

Counts

7 → 8

Calls

Call 1

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

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

eval4.0ms (0.3%)

Memory: 7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 087 to 203 computations (81.3% saved)

prune2.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	2	0	2
Done	-2	4	2
Total	39	4	43

Accuracy

100.0%

Counts

43 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.9%	(sqrt.f64 (fma.f64 x x y))
✓	35.2%	(sqrt.f64 #s(approx (+ (* x x) y) y))
✓	67.8%	#s(approx (sqrt (+ (* x x) y)) (.f64 x #s(approx (+ 1 ( 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
✓	1.3%	#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes63.0ms (3.9%)

Memory

-12.0MiB live, 130.5MiB allocated; 18ms collecting garbage

Counts

1 → 1

3 → 1

4 → 2

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

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

Calls

19 calls:

11.0ms	x
10.0ms	x
5.0ms	(+.f64 (*.f64 x x) y)
3.0ms	y
3.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))

Results

Accuracy	Segments	Branch
1.3%	1	`y`
1.3%	1	`x`
1.3%	1	`(*.f64 x x)`
1.3%	1	`(+.f64 (*.f64 x x) y)`
1.3%	1	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
35.2%	1	`(+.f64 (*.f64 x x) y)`
35.2%	1	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
35.2%	1	`y`
35.2%	1	`(*.f64 x x)`
35.2%	1	`x`
88.7%	2	`(*.f64 x x)`
75.8%	4	`(+.f64 (*.f64 x x) y)`
75.8%	4	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
88.7%	2	`x`
100.0%	2	`(*.f64 x x)`
100.0%	2	`(+.f64 (*.f64 x x) y)`
100.0%	2	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
100.0%	2	`x`
86.5%	2	`y`

Compiler

Compiled 139 to 98 computations (29.5% saved)

bsearch10.0ms (0.6%)

Memory

-22.8MiB live, 23.4MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	2.987968985201313e+122	2.1831914501944277e+124

Samples

3.0ms

96×

valid

Compiler

Compiled 159 to 142 computations (10.7% saved)

Precisions

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

ival-sqrt: 1.0ms (70.3% of total)

ival-mult!: 1.0ms (70.3% of total)

adjust: 0.0ms (0.0% of total)

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

bsearch9.0ms (0.5%)

Memory

33.1MiB live, 33.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.711899883235978e-43	7.69667498124443e-42

Samples

4.0ms

112×

valid

Compiler

Compiled 205 to 178 computations (13.2% saved)

Precisions

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

ival-sqrt: 1.0ms (59.4% of total)

ival-mult!: 1.0ms (59.4% of total)

adjust: 0.0ms (0.0% of total)

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

derivations63.0ms (3.8%)

Memory

-29.8MiB live, 65.9MiB allocated; 12ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 78 to 28 computations (64.1% saved)

preprocess36.0ms (2.2%)

Memory: 27.4MiB live, 118.3MiB allocated; 11ms collecting garbage
Compiler: Compiled 254 to 149 computations (41.3% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze16.0ms (1.0%)

sample666.0ms (40.6%)

preprocess41.0ms (2.5%)

sample0.0ms (0.0%)

series14.0ms (0.9%)

rewrite181.0ms (11.0%)

eval34.0ms (2.1%)

prune6.0ms (0.3%)

sample0.0ms (0.0%)

series20.0ms (1.2%)

rewrite149.0ms (9.1%)

eval179.0ms (10.9%)

prune17.0ms (1.1%)

sample0.0ms (0.0%)

series11.0ms (0.7%)

rewrite117.0ms (7.1%)

eval4.0ms (0.3%)

prune2.0ms (0.1%)

regimes63.0ms (3.9%)

bsearch10.0ms (0.6%)

bsearch9.0ms (0.5%)

derivations63.0ms (3.8%)

preprocess36.0ms (2.2%)

end0.0ms (0.0%)

Profiling