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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample1.0s (48.4%)

Memory

65.3MiB live, 945.0MiB allocated; 200ms collecting garbage

Samples

701.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 309.0ms

ival-hypot: 307.0ms (99.4% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

preprocess501.0ms (23.2%)

Memory

-78.7MiB live, 73.1MiB allocated; 395ms 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
▶	55.9%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

Symmetry

(abs x)

(abs y)

(sort x y)

Compiler

Compiled 12 to 12 computations (0% saved)

series15.0ms (0.7%)

Memory

20.0MiB live, 20.0MiB 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	Expression
2.0ms	x	@	inf	((sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* x x) x (* y y) y)
1.0ms	x	@	0	((sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* x x) x (* y y) y)
1.0ms	x	@	-inf	((sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* x x) x (* y y) y)
1.0ms	y	@	inf	((sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* x x) x (* y y) y)
1.0ms	y	@	0	((sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* x x) x (* y y) y)

rewrite64.0ms (3%)

Memory

10.1MiB live, 56.2MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	46	23
0	480	17

Stop Event

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

Counts

6 → 189

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

eval45.0ms (2.1%)

Memory: 9.2MiB live, 52.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 422 to 508 computations (64.3% saved)

prune39.0ms (1.8%)

Memory

-27.3MiB live, 20.6MiB allocated; 24ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	209	4	213
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	210	4	214

Accuracy

100.0%

Counts

214 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 y x)
▶	55.9%	(sqrt.f64 (fma.f64 y y (*.f64 x x)))
▶	1.3%	#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) y))
▶	2.0%	#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) x))

Compiler

Compiled 26 to 26 computations (0% saved)

series17.0ms (0.8%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms 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	Expression
2.0ms	x	@	0	((sqrt (+ (* x x) (* y y))) (* -1 x) -1 x (sqrt (+ (* x x) (* y y))) (* -1 y) y (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (sqrt (+ (* y y) (* x x))))
2.0ms	x	@	inf	((sqrt (+ (* x x) (* y y))) (* -1 x) -1 x (sqrt (+ (* x x) (* y y))) (* -1 y) y (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (sqrt (+ (* y y) (* x x))))
2.0ms	x	@	-inf	((sqrt (+ (* x x) (* y y))) (* -1 x) -1 x (sqrt (+ (* x x) (* y y))) (* -1 y) y (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (sqrt (+ (* y y) (* x x))))
1.0ms	y	@	inf	((sqrt (+ (* x x) (* y y))) (* -1 x) -1 x (sqrt (+ (* x x) (* y y))) (* -1 y) y (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (sqrt (+ (* y y) (* x x))))
1.0ms	y	@	-inf	((sqrt (+ (* x x) (* y y))) (* -1 x) -1 x (sqrt (+ (* x x) (* y y))) (* -1 y) y (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (sqrt (+ (* y y) (* x x))))

rewrite78.0ms (3.6%)

Memory

4.2MiB live, 50.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	48
0	20	34
1	76	34
0	785	34

Stop Event

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

Counts

11 → 348

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

eval60.0ms (2.8%)

Memory: -29.6MiB live, 59.3MiB allocated; 23ms collecting garbage
Compiler: Compiled 1 811 to 614 computations (66.1% saved)

prune8.0ms (0.4%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	257	2	259
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	259	4	263

Accuracy

100.0%

Counts

263 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 y x)
✓	55.9%	(sqrt.f64 (fma.f64 y y (*.f64 x x)))
▶	1.3%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
▶	2.0%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))

Compiler

Compiled 24 to 24 computations (0% saved)

series11.0ms (0.5%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	558

Stop Event

1×	iter-limit

Counts

6 → 24

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

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 (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 (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	Expression
1.0ms	x	@	-inf	((sqrt (+ (* x x) (* y y))) (neg x) x (sqrt (+ (* x x) (* y y))) (neg y) y)
1.0ms	y	@	-inf	((sqrt (+ (* x x) (* y y))) (neg x) x (sqrt (+ (* x x) (* y y))) (neg y) y)
1.0ms	x	@	inf	((sqrt (+ (* x x) (* y y))) (neg x) x (sqrt (+ (* x x) (* y y))) (neg y) y)
1.0ms	y	@	inf	((sqrt (+ (* x x) (* y y))) (neg x) x (sqrt (+ (* x x) (* y y))) (neg y) y)
0.0ms	x	@	0	((sqrt (+ (* x x) (* y y))) (neg x) x (sqrt (+ (* x x) (* y y))) (neg y) y)

rewrite69.0ms (3.2%)

Memory

-13.2MiB live, 39.6MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
0	12	28
1	46	28
0	480	18

Stop Event

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

Counts

6 → 6

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

Outputs
#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

eval3.0ms (0.1%)

Memory: 4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 357 to 129 computations (63.9% saved)

prune3.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	24	4	28

Accuracy

100.0%

Counts

28 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 y x)
✓	55.9%	(sqrt.f64 (fma.f64 y y (*.f64 x x)))
✓	1.3%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
✓	2.0%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))

Compiler

Compiled 51 to 46 computations (9.8% saved)

regimes69.0ms (3.2%)

Memory

-11.8MiB live, 33.7MiB allocated; 9ms collecting garbage

Counts

7 → 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))
(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

6 calls:

49.0ms	(+.f64 (.f64 x x) (.f64 y y))
4.0ms	(*.f64 y y)
4.0ms	(*.f64 x x)
4.0ms	x
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

Results

Accuracy	Segments	Branch
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 17 to 21 computations (-23.5% saved)

regimes25.0ms (1.2%)

Memory

-12.5MiB live, 33.2MiB allocated; 5ms collecting garbage

Counts

6 → 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))
(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)))

Calls

6 calls:

6.0ms	(*.f64 y y)
6.0ms	x
4.0ms	y
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
3.0ms	(+.f64 (.f64 x x) (.f64 y y))

Results

Accuracy	Segments	Branch
55.9%	1	`(*.f64 y y)`
55.9%	1	`(*.f64 x x)`
55.9%	1	`(+.f64 (.f64 x x) (.f64 y y))`
55.9%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))`
55.9%	1	`x`
55.9%	1	`y`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes11.0ms (0.5%)

Memory

23.1MiB live, 23.1MiB allocated; 0ms collecting garbage

Accuracy

Total -0.5b remaining (-0.7%)

Threshold costs -0.5b (-0.7%)

Counts

4 → 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))

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

Calls

6 calls:

2.0ms	x
2.0ms	y
2.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
2.0ms	(+.f64 (.f64 x x) (.f64 y y))
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
2.0%	1	`(*.f64 x x)`
2.0%	1	`x`
2.0%	1	`y`
2.0%	1	`(*.f64 y y)`
2.0%	1	`(+.f64 (.f64 x x) (.f64 y y))`
2.0%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

derivations40.0ms (1.8%)

Memory

-21.6MiB live, 24.6MiB allocated; 4ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 12 to 12 computations (0% saved)

preprocess60.0ms (2.8%)

Memory

38.3MiB live, 91.8MiB allocated; 6ms collecting garbage

Remove

(abs y)

(abs x)

Compiler

Compiled 130 to 130 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (48.4%)

preprocess501.0ms (23.2%)

series15.0ms (0.7%)

rewrite64.0ms (3%)

eval45.0ms (2.1%)

prune39.0ms (1.8%)

series17.0ms (0.8%)

rewrite78.0ms (3.6%)

eval60.0ms (2.8%)

prune8.0ms (0.4%)

series11.0ms (0.5%)

rewrite69.0ms (3.2%)

eval3.0ms (0.1%)

prune3.0ms (0.1%)

regimes69.0ms (3.2%)

regimes25.0ms (1.2%)

regimes11.0ms (0.5%)

derivations40.0ms (1.8%)

preprocess60.0ms (2.8%)

end0.0ms (0%)

Profiling