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

1.0MiB live, 1.0MiB 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)

sample624.0ms (25.2%)

Memory

28.8MiB live, 1 024.0MiB allocated; 280ms collecting garbage

Samples

393.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-hypot: 188.0ms (99.3% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

preprocess80.0ms (3.2%)

Memory

-28.4MiB live, 65.8MiB allocated; 33ms 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
▶	55.1%	(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)

series14.0ms (0.6%)

Memory

21.3MiB live, 21.3MiB 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
1.0ms	x	@	inf	((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	x	@	0	((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	@	-inf	((sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* x x) x (* y y) y)

rewrite209.0ms (8.5%)

Memory

-0.7MiB live, 232.1MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	46	23
2	164	23
3	482	23
4	1052	23
5	4829	23
0	8266	16

Stop Event

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

Counts

6 → 922

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

eval104.0ms (4.2%)

Memory: 27.4MiB live, 166.8MiB allocated; 22ms collecting garbage
Compiler: Compiled 10 091 to 2 496 computations (75.3% saved)

prune17.0ms (0.7%)

Memory

-12.4MiB live, 33.2MiB allocated; 4ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	942	4	946
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	943	4	947

Accuracy

100.0%

Counts

947 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 y x)
▶	55.1%	(sqrt.f64 (fma.f64 x x (*.f64 y y)))
▶	1.2%	#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) y))
▶	1.9%	#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) x))

Compiler

Compiled 26 to 26 computations (0% saved)

series10.0ms (0.4%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	634

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 x x (*.f64 y y)))
(fma.f64 x x (*.f64 y y))
(*.f64 y y)
(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 (+ (* 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 (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)) (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) (.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 (+ (* 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) (.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	@	0	((sqrt (+ (* x x) (* y y))) (* -1 x) -1 x (sqrt (+ (* x x) (* y y))) (* -1 y) y (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (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 (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (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 (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (sqrt (+ (* y y) (* x x))))
1.0ms	x	@	inf	((sqrt (+ (* x x) (* y y))) (* -1 x) -1 x (sqrt (+ (* x x) (* y y))) (* -1 y) y (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (sqrt (+ (* y y) (* x x))))
1.0ms	x	@	-inf	((sqrt (+ (* x x) (* y y))) (* -1 x) -1 x (sqrt (+ (* x x) (* y y))) (* -1 y) y (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (sqrt (+ (* y y) (* x x))))

rewrite272.0ms (11%)

Memory

-11.2MiB live, 328.5MiB allocated; 93ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	50
0	21	34
1	77	34
2	239	33
3	629	33
4	1994	33
0	8198	33

Stop Event

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

Counts

11 → 2 063

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 x x (*.f64 y y)))
(fma.f64 x x (*.f64 y y))
(*.f64 y y)
(hypot.f64 y x)

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

eval372.0ms (15%)

Memory: 21.0MiB live, 477.1MiB allocated; 102ms collecting garbage
Compiler: Compiled 21 939 to 5 049 computations (77% saved)

prune54.0ms (2.2%)

Memory

-33.4MiB live, 116.4MiB allocated; 36ms collecting garbage

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	2 009	5	2 014
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	2 011	7	2 018

Accuracy

100.0%

Counts

2 018 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 y x)
✓	55.1%	(sqrt.f64 (fma.f64 x x (*.f64 y y)))
▶	1.2%	#s(approx (sqrt (+ (* x x) (* y y))) (/.f64 (*.f64 y y) (neg.f64 y)))
▶	2.1%	#s(approx (sqrt (+ (* x x) (* y y))) (/.f64 (*.f64 x x) (neg.f64 x)))
▶	1.9%	#s(approx (sqrt (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
▶	1.2%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
▶	1.9%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))

Compiler

Compiled 106 to 106 computations (0% saved)

series12.0ms (0.5%)

Memory

27.8MiB live, 27.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	594

Stop Event

1×	iter-limit

Counts

18 → 28

Calls

Call 1

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

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) (neg x)) (*.f64 #s(literal -1 binary64) x))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (/ 2 (* (neg x) 2)) (/.f64 #s(literal -1 binary64) x))
#s(approx (* (neg x) 2) (*.f64 #s(literal -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 (* y y) (pow.f64 y #s(literal 2 binary64)))
#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))) (/ (* x x) (neg x)) (* x x) x (neg x) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (neg y) y (sqrt (+ (* x x) (* y y))) (/ (* y y) (neg y)) (* y y) (sqrt (+ (* x x) (* y y))) (/ 1 (/ 2 (* (neg x) 2))) 1 (/ 2 (* (neg x) 2)) 2 (* (neg x) 2))
1.0ms	x	@	-inf	((sqrt (+ (* x x) (* y y))) (/ (* x x) (neg x)) (* x x) x (neg x) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (neg y) y (sqrt (+ (* x x) (* y y))) (/ (* y y) (neg y)) (* y y) (sqrt (+ (* x x) (* y y))) (/ 1 (/ 2 (* (neg x) 2))) 1 (/ 2 (* (neg x) 2)) 2 (* (neg x) 2))
1.0ms	x	@	0	((sqrt (+ (* x x) (* y y))) (/ (* x x) (neg x)) (* x x) x (neg x) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (neg y) y (sqrt (+ (* x x) (* y y))) (/ (* y y) (neg y)) (* y y) (sqrt (+ (* x x) (* y y))) (/ 1 (/ 2 (* (neg x) 2))) 1 (/ 2 (* (neg x) 2)) 2 (* (neg x) 2))
1.0ms	y	@	-inf	((sqrt (+ (* x x) (* y y))) (/ (* x x) (neg x)) (* x x) x (neg x) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (neg y) y (sqrt (+ (* x x) (* y y))) (/ (* y y) (neg y)) (* y y) (sqrt (+ (* x x) (* y y))) (/ 1 (/ 2 (* (neg x) 2))) 1 (/ 2 (* (neg x) 2)) 2 (* (neg x) 2))
1.0ms	y	@	inf	((sqrt (+ (* x x) (* y y))) (/ (* x x) (neg x)) (* x x) x (neg x) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (neg y) y (sqrt (+ (* x x) (* y y))) (/ (* y y) (neg y)) (* y y) (sqrt (+ (* x x) (* y y))) (/ 1 (/ 2 (* (neg x) 2))) 1 (/ 2 (* (neg x) 2)) 2 (* (neg x) 2))

rewrite156.0ms (6.3%)

Memory

8.8MiB live, 148.3MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	113
0	30	97
1	111	93
2	468	81
3	2186	81

Stop Event

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

Counts

18 → 26

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 422 to 167 computations (60.4% saved)

prune3.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	1	4	5
Done	0	2	2
Total	33	7	40

Accuracy

100.0%

Counts

40 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 y x)
✓	55.1%	(sqrt.f64 (fma.f64 x x (*.f64 y y)))
✓	1.2%	#s(approx (sqrt (+ (* x x) (* y y))) (/.f64 (*.f64 y y) (neg.f64 y)))
✓	2.1%	#s(approx (sqrt (+ (* x x) (* y y))) (/.f64 (*.f64 x x) (neg.f64 x)))
▶	1.9%	#s(approx (sqrt (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* (neg x) 2)) (/.f64 #s(literal -1 binary64) x))))
✓	1.2%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
✓	1.9%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))

Compiler

Compiled 60 to 60 computations (0% saved)

series15.0ms (0.6%)

Memory

-27.6MiB live, 17.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	577

Stop Event

1×	iter-limit

Counts

7 → 25

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* (neg x) 2)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* (neg x) 2)) (/.f64 #s(literal -1 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ 2 (* (neg x) 2)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
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 (/ 2 (* (neg x) 2))) (*.f64 #s(literal -1 binary64) x))
#s(approx (/ 2 (* (neg x) 2)) (/.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 (sqrt (+ (* x x) (* y 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) 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
8.0ms	x	@	-inf	((sqrt (+ (* x x) (* y y))) (/ 1 (/ 2 (* (neg x) 2))) 1 (/ 2 (* (neg x) 2)) (/ -1 x) -1 x)
1.0ms	x	@	inf	((sqrt (+ (* x x) (* y y))) (/ 1 (/ 2 (* (neg x) 2))) 1 (/ 2 (* (neg x) 2)) (/ -1 x) -1 x)
1.0ms	x	@	0	((sqrt (+ (* x x) (* y y))) (/ 1 (/ 2 (* (neg x) 2))) 1 (/ 2 (* (neg x) 2)) (/ -1 x) -1 x)
0.0ms	y	@	-inf	((sqrt (+ (* x x) (* y y))) (/ 1 (/ 2 (* (neg x) 2))) 1 (/ 2 (* (neg x) 2)) (/ -1 x) -1 x)
0.0ms	y	@	0	((sqrt (+ (* x x) (* y y))) (/ 1 (/ 2 (* (neg x) 2))) 1 (/ 2 (* (neg x) 2)) (/ -1 x) -1 x)

rewrite268.0ms (10.8%)

Memory

22.3MiB live, 356.5MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	49
0	18	49
1	81	40
2	317	40
3	1498	40
0	8070	35

Stop Event

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

Counts

7 → 682

Calls

Call 1

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

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

eval94.0ms (3.8%)

Memory: -4.3MiB live, 190.6MiB allocated; 44ms collecting garbage
Compiler: Compiled 7 699 to 3 137 computations (59.3% saved)

prune21.0ms (0.9%)

Memory

-0.9MiB live, 42.2MiB allocated; 16ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	698	1	699
Fresh	0	0	0
Picked	1	0	1
Done	1	5	6
Total	700	6	706

Accuracy

100.0%

Counts

706 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 y x)
✓	55.1%	(sqrt.f64 (fma.f64 x x (*.f64 y y)))
✓	1.2%	#s(approx (sqrt (+ (* x x) (* y y))) (/.f64 (*.f64 y y) (neg.f64 y)))
✓	1.2%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
✓	1.9%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
	98.8%	#s(approx (sqrt (+ (* x x) (* y y))) y)

Compiler

Compiled 101 to 82 computations (18.8% saved)

regimes24.0ms (1%)

Memory

12.2MiB live, 57.2MiB allocated; 6ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

Outputs
(hypot.f64 y x)

Calls

6 calls:

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

regimes28.0ms (1.1%)

Memory

1.4MiB live, 56.5MiB allocated; 14ms collecting garbage

Accuracy

Total -62.5b remaining (-8393.1%)

Threshold costs -62.5b (-8393.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`(*.f64 y y)`
98.8%	1	`(*.f64 x x)`
98.8%	1	`(+.f64 (.f64 x x) (.f64 y y))`
98.8%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))`
98.8%	1	`x`
98.8%	1	`y`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

derivations68.0ms (2.7%)

Memory

-37.3MiB live, 53.8MiB allocated; 10ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 8 to 8 computations (0% saved)

preprocess25.0ms (1%)

Memory: 5.5MiB live, 50.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 74 to 74 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample624.0ms (25.2%)

preprocess80.0ms (3.2%)

series14.0ms (0.6%)

rewrite209.0ms (8.5%)

eval104.0ms (4.2%)

prune17.0ms (0.7%)

series10.0ms (0.4%)

rewrite272.0ms (11%)

eval372.0ms (15%)

prune54.0ms (2.2%)

series12.0ms (0.5%)

rewrite156.0ms (6.3%)

eval3.0ms (0.1%)

prune3.0ms (0.1%)

series15.0ms (0.6%)

rewrite268.0ms (10.8%)

eval94.0ms (3.8%)

prune21.0ms (0.9%)

regimes24.0ms (1%)

regimes28.0ms (1.1%)

derivations68.0ms (2.7%)

preprocess25.0ms (1%)

end0.0ms (0%)

Profiling