Metrics for Data.Octree.Internal:octantDistance from Octree-0.5.4.2

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 10 to 5 computations (50% saved)

sample645.0ms (41.4%)

Memory

-9.1MiB live, 853.9MiB allocated; 312ms collecting garbage

Samples

456.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 253.0ms

ival-hypot: 252.0ms (99.5% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess48.0ms (3.1%)

Memory

-24.1MiB live, 72.4MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	50
1	62	50
2	157	50
3	226	50
4	520	50
5	2747	50

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.0%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

Symmetry

(abs x)

(abs y)

(sort x y)

Compiler

Compiled 16 to 12 computations (25% saved)

series15.0ms (0.9%)

Memory

43.8MiB live, 43.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	631

Stop Event

1×	iter-limit

Counts

6 → 29

Calls

Call 1

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

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

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	0

rewrite101.0ms (6.5%)

Memory

-24.2MiB live, 211.1MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	29	23
2	88	23
3	223	23
4	530	23
5	2765	23
0	4024	16

Stop Event

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

Counts

6 → 551

Calls

Call 1

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

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

eval96.0ms (6.2%)

Memory: -4.7MiB live, 179.2MiB allocated; 39ms collecting garbage
Compiler: Compiled 11 969 to 1 287 computations (89.2% saved)

prune10.0ms (0.6%)

Memory

27.0MiB live, 27.0MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	571	4	575
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	572	4	576

Accuracy

100.0%

Counts

576 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 y x)
▶	54.0%	(sqrt.f64 (fma.f64 y y (*.f64 x x)))
▶	1.1%	#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) y))
▶	1.8%	#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) x))

Compiler

Compiled 34 to 26 computations (23.5% saved)

series14.0ms (0.9%)

Memory

-23.4MiB live, 23.9MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	631

Stop Event

1×	iter-limit

Counts

11 → 29

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite115.0ms (7.4%)

Memory

-4.6MiB live, 183.9MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	48
0	20	34
1	48	34
2	133	33
3	403	33
4	1291	33
0	4538	33

Stop Event

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

Counts

11 → 370

Calls

Call 1

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

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

eval39.0ms (2.5%)

Memory: 51.1MiB live, 95.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 4 796 to 1 090 computations (77.3% saved)

prune12.0ms (0.8%)

Memory

-29.6MiB live, 19.1MiB allocated; 11ms collecting garbage

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	348	4	352
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	350	6	356

Accuracy

100.0%

Counts

356 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 y x)
✓	54.0%	(sqrt.f64 (fma.f64 y y (*.f64 x x)))
▶	1.1%	#s(approx (sqrt (+ (* x x) (* y y))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (neg.f64 y))))
▶	1.8%	#s(approx (sqrt (+ (* x x) (* y y))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (neg.f64 x))))
▶	1.1%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
▶	1.8%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))

Compiler

Compiled 62 to 48 computations (22.6% saved)

series10.0ms (0.6%)

Memory

22.3MiB live, 22.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	574

Stop Event

1×	iter-limit

Counts

14 → 26

Calls

Call 1

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

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

rewrite105.0ms (6.7%)

Memory

-12.0MiB live, 190.2MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	80
0	24	64
1	54	62
2	188	62
3	1306	62
0	4055	42

Stop Event

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

Counts

14 → 634

Calls

Call 1

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

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

eval75.0ms (4.8%)

Memory: -28.3MiB live, 159.1MiB allocated; 26ms collecting garbage
Compiler: Compiled 13 778 to 1 890 computations (86.3% saved)

prune13.0ms (0.8%)

Memory

31.8MiB live, 31.8MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	648	2	650
Fresh	0	0	0
Picked	2	2	4
Done	0	2	2
Total	650	6	656

Accuracy

100.0%

Counts

656 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 y x)
✓	54.0%	(sqrt.f64 (fma.f64 y y (*.f64 x x)))
▶	1.1%	#s(approx (sqrt (+ (* x x) (* y y))) (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal -2 binary64)))
▶	1.8%	#s(approx (sqrt (+ (* x x) (* y y))) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64)))
✓	1.1%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
✓	1.8%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))

Compiler

Compiled 60 to 46 computations (23.3% saved)

series9.0ms (0.6%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	578

Stop Event

1×	iter-limit

Counts

10 → 26

Calls

Call 1

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

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

rewrite87.0ms (5.6%)

Memory

-46.8MiB live, 145.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
0	18	48
1	44	40
2	116	36
3	252	36
4	701	36
5	3854	36
0	4008	26

Stop Event

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

Counts

10 → 62

Calls

Call 1

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

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

eval8.0ms (0.5%)

Memory: 20.1MiB live, 20.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 462 to 265 computations (81.9% saved)

prune4.0ms (0.3%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	76	6	82

Accuracy

100.0%

Counts

82 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 y x)
✓	54.0%	(sqrt.f64 (fma.f64 y y (*.f64 x x)))
✓	1.1%	#s(approx (sqrt (+ (* x x) (* y y))) (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal -2 binary64)))
✓	1.8%	#s(approx (sqrt (+ (* x x) (* y y))) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64)))
✓	1.1%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
✓	1.8%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))

Compiler

Compiled 60 to 46 computations (23.3% saved)

regimes63.0ms (4%)

Memory

1.4MiB live, 138.4MiB allocated; 9ms collecting garbage

Accuracy

Total -0.4b remaining (-0.5%)

Threshold costs -0.4b (-0.5%)

Counts

8 → 1

10 → 1

11 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

Outputs
(hypot.f64 y x)

Calls

18 calls:

6.0ms	x
5.0ms	x
3.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
3.0ms	y
3.0ms	y

Results

Accuracy	Segments	Branch
1.8%	1	`y`
1.8%	1	`(*.f64 y y)`
1.8%	1	`(+.f64 (.f64 x x) (.f64 y y))`
1.8%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))`
1.8%	1	`(*.f64 x x)`
1.8%	1	`x`
54.0%	1	`(*.f64 y y)`
54.0%	1	`(*.f64 x x)`
54.0%	1	`(+.f64 (.f64 x x) (.f64 y y))`
54.0%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))`
54.0%	1	`x`
54.0%	1	`y`
100.0%	1	`(*.f64 y y)`
100.0%	1	`(*.f64 x x)`
100.0%	1	`(+.f64 (.f64 x x) (.f64 y y))`
100.0%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 191 to 100 computations (47.6% saved)

derivations64.0ms (4.1%)

Memory

-23.3MiB live, 74.4MiB allocated; 12ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 21 to 12 computations (42.9% saved)

preprocess27.0ms (1.7%)

Memory

43.2MiB live, 43.2MiB allocated; 0ms collecting garbage

Remove

(abs y)

(abs x)

Compiler

Compiled 177 to 130 computations (26.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample645.0ms (41.4%)

preprocess48.0ms (3.1%)

series15.0ms (0.9%)

rewrite101.0ms (6.5%)

eval96.0ms (6.2%)

prune10.0ms (0.6%)

series14.0ms (0.9%)

rewrite115.0ms (7.4%)

eval39.0ms (2.5%)

prune12.0ms (0.8%)

series10.0ms (0.6%)

rewrite105.0ms (6.7%)

eval75.0ms (4.8%)

prune13.0ms (0.8%)

series9.0ms (0.6%)

rewrite87.0ms (5.6%)

eval8.0ms (0.5%)

prune4.0ms (0.3%)

regimes63.0ms (4%)

derivations64.0ms (4.1%)

preprocess27.0ms (1.7%)

end0.0ms (0%)

Profiling