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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

sample994.0ms (31.8%)

Memory

3.2MiB live, 718.1MiB allocated; 369ms collecting garbage

Samples

765.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 439.0ms

ival-hypot: 437.0ms (99.5% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess60.0ms (1.9%)

Memory

-19.0MiB live, 69.5MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	50
1	74	50

Stop Event

1×	iter-limit
1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.0%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

Symmetry

(abs x)

(abs y)

(sort x y)

Compiler

Compiled 16 to 12 computations (25% saved)

series146.0ms (4.7%)

Memory

21.7MiB live, 114.0MiB allocated; 18ms collecting garbage

Counts

6 → 29

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite214.0ms (6.9%)

Memory

-15.4MiB live, 174.1MiB allocated; 52ms collecting garbage

Counts

6 → 24

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

eval5.0ms (0.2%)

Memory: 9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 985 to 217 computations (78% saved)

prune5.0ms (0.2%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	41	8	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	9	50

Accuracy

97.7%

Counts

50 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.0%	(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (-.f64 x y)))
✓	48.0%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
	0.4%	(sqrt.f64 (*.f64 (-.f64 x y) (+.f64 y x)))
▶	47.7%	(sqrt.f64 (*.f64 (+.f64 y x) (-.f64 y x)))
▶	88.0%	#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)))))))
▶	5.1%	#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)))))))
	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))
	4.5%	#s(approx (sqrt (+ (* x x) (* y y))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 220 to 164 computations (25.5% saved)

series359.0ms (11.5%)

Memory

1.6MiB live, 292.2MiB allocated; 93ms collecting garbage

Counts

28 → 157

Calls

Call 1

Inputs
#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)))))))
(.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))))))
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(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(literal 1/2 binary64)
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 y #s(literal 2 binary64))
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(sqrt.f64 (*.f64 (+.f64 y x) (-.f64 y x)))
(*.f64 (+.f64 y x) (-.f64 y x))
(+.f64 y x)
(-.f64 y x)
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (-.f64 x y)))
(sqrt.f64 (+.f64 y x))
(sqrt.f64 (-.f64 x y))
(-.f64 x y)
#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)))))))
(.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))))))
(+.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)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.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 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) y)
#s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) (+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
#s(approx (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))) #s(literal 1 binary64))
#s(approx (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))) (+.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 (* 1/2 (/ (pow x 2) (pow y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (/ (pow x 2) (pow y 2)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (* -1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (* (+ y x) (- y x))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (* (+ y x) (- y x))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (* (+ y x) (- y x))) (+.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 y (*.f64 #s(literal -1 binary64) y)))) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))))))))
#s(approx (* (+ y x) (- y x)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (* (+ y x) (- y x)) (fma.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* (+ y x) (- y x)) (fma.f64 x (+.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) y))) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ y x) (+.f64 x y))
#s(approx (- y x) (+.f64 y (*.f64 #s(literal -1 binary64) x)))
#s(approx (* (sqrt (+ y x)) (sqrt (- x y))) (*.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 y))))
#s(approx (* (sqrt (+ y x)) (sqrt (- x y))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 y))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 y)))) (.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 y)))))
#s(approx (* (sqrt (+ y x)) (sqrt (- x y))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 y)) (.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (neg.f64 y)) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 y)))))))))) (.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 y)))))
#s(approx (* (sqrt (+ y x)) (sqrt (- x y))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 y)) (.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (neg.f64 y)) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 y)))) (.f64 x (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 (neg.f64 y)) #s(literal 5 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (neg.f64 y)) (pow.f64 (sqrt.f64 y) #s(literal 5 binary64))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 (neg.f64 y)) #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 y) #s(literal 3 binary64)) (sqrt.f64 (neg.f64 y)))))))))))))) (.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 y)))))
#s(approx (sqrt (+ y x)) (sqrt.f64 y))
#s(approx (sqrt (+ y x)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)))))
#s(approx (sqrt (+ y x)) (+.f64 (sqrt.f64 y) (.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (+ y x)) (+.f64 (sqrt.f64 y) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (- x y)) (sqrt.f64 (neg.f64 y)))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 y))))))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 (neg.f64 y)) (.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (neg.f64 y)) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 y))))))))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 (neg.f64 y)) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 (neg.f64 y)) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 y)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 y))))))))
#s(approx (- x y) (*.f64 #s(literal -1 binary64) y))
#s(approx (- x y) (-.f64 x y))
#s(approx (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
#s(approx (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) x))
#s(approx (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (pow y 2) (pow x 2)) (/.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) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) (* y y))) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) (* y y))) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
#s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (* (+ y x) (- y x))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (* (+ y x) (- y x))) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) (.f64 x (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (* (+ y x) (- y x))) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (* (+ y x) (- y x))) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
#s(approx (* (+ y x) (- y x)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (+ y x) (- y x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64))))
#s(approx (* (+ y x) (- y x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (+ y x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
#s(approx (- y x) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
#s(approx (* (sqrt (+ y x)) (sqrt (- x y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
#s(approx (* (sqrt (+ y x)) (sqrt (- x y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
#s(approx (* (sqrt (+ y x)) (sqrt (- x y))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))
#s(approx (* (sqrt (+ y x)) (sqrt (- x y))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ y x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (+ y x)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (+ y x)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ y x)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (sqrt (- x y)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (- x y)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (sqrt (- x y)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))))))
#s(approx (- x y) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 y x)))))
#s(approx (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))) (+.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) (*.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 (* (+ y x) (- y x))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (* (+ y x) (- y x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (* (+ y x) (- y x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) x))))))
#s(approx (sqrt (* (+ y x) (- y x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) x))))))
#s(approx (* (+ y x) (- y x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) x)) #s(literal 1 binary64))))
#s(approx (* (+ y x) (- y x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))) x)) #s(literal 1 binary64))))
#s(approx (+ y x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx (- y x) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
#s(approx (sqrt (+ y x)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (+ y x)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ y x)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (sqrt (+ y x)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))))
#s(approx (sqrt (- x y)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/2 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (- x y)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))))
#s(approx (sqrt (- x y)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))))))))
#s(approx (- x y) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
#s(approx (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 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 (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y))
#s(approx (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
#s(approx (sqrt (* (+ y x) (- y x))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (* (+ y x) (- y x))) (+.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) x))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (* (+ y x) (- y x))) (+.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (sqrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) (sqrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (sqrt (* (+ y x) (- y x))) (+.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) (sqrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 y (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 y (.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))))))))))
#s(approx (* (+ y x) (- y x)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) x)))))
#s(approx (* (+ y x) (- y x)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 y (+.f64 x (+.f64 y (.f64 #s(literal -1 binary64) x))))))
#s(approx (- y x) (-.f64 y x))
#s(approx (* (sqrt (+ y x)) (sqrt (- x y))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))
#s(approx (* (sqrt (+ y x)) (sqrt (- x y))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (* (sqrt (+ y x)) (sqrt (- x y))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 6 binary64)))) (.f64 #s(literal 9/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 6 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (sqrt (+ y x)) (sqrt.f64 x))
#s(approx (sqrt (+ y x)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x)))))
#s(approx (sqrt (+ y x)) (+.f64 (sqrt.f64 x) (.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (+ y x)) (+.f64 (sqrt.f64 x) (.f64 y (fma.f64 y (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 x)))))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 x) (.f64 y (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 x) (.f64 y (-.f64 (.f64 y (-.f64 (.f64 #s(literal -1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (- x y) (+.f64 x (*.f64 #s(literal -1 binary64) y)))
#s(approx (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
#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 (* (+ y x) (- y x))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) y)))))
#s(approx (sqrt (* (+ y x) (- y x))) (.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) y) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (sqrt (* (+ y x) (- y x))) (.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) y) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (* (+ y x) (- y x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x y)))))
#s(approx (* (+ y x) (- y x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 x y) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 x y))))))
#s(approx (+ y x) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (- y x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x y)))))
#s(approx (* (sqrt (+ y x)) (sqrt (- x y))) (.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (* (sqrt (+ y x)) (sqrt (- x y))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) y))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))
#s(approx (* (sqrt (+ y x)) (sqrt (- x y))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) y))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (* (sqrt (+ y x)) (sqrt (- x y))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) y))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))))))
#s(approx (sqrt (+ y x)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (sqrt (+ y x)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
#s(approx (sqrt (+ y x)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ y x)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (sqrt (- x y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))
#s(approx (sqrt (- x y)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))))))
#s(approx (sqrt (- x y)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))))))
#s(approx (sqrt (- x y)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))))))))
#s(approx (- x y) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
#s(approx (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 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))))))))))
#s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))))
#s(approx (sqrt (* (+ y x) (- y x))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) y))))))
#s(approx (sqrt (* (+ y x) (- y x))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 x (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) y))) y))))))
#s(approx (sqrt (* (+ y x) (- y x))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))) y) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))) y) (.f64 #s(literal -1/2 binary64) (+.f64 x (.f64 #s(literal -1 binary64) x)))) y))))))
#s(approx (* (+ y x) (- y x)) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)))))
#s(approx (+ y x) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
#s(approx (- y x) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))))
#s(approx (sqrt (+ y x)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (+ y x)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ y x)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (sqrt (+ y x)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))))
#s(approx (sqrt (- x y)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))
#s(approx (sqrt (- x y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))))))
#s(approx (sqrt (- x y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))))))))
#s(approx (sqrt (- x y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))))))))
#s(approx (- x y) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))

Calls

6 calls:

Time	Variable	Point
6.0ms	y	0
6.0ms	x	inf
6.0ms	y	inf
5.0ms	x	-inf
5.0ms	x	0

rewrite250.0ms (8%)

Memory

19.6MiB live, 208.6MiB allocated; 28ms collecting garbage

Counts

28 → 124

Calls

Call 1

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

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

eval25.0ms (0.8%)

Memory: 2.1MiB live, 48.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 7 133 to 1 253 computations (82.4% saved)

prune9.0ms (0.3%)

Memory

-34.9MiB live, 9.6MiB allocated; 6ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	232	2	234
Fresh	2	1	3
Picked	4	1	5
Done	0	1	1
Total	238	5	243

Accuracy

99.9%

Counts

243 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.0%	(sqrt.f64 (+.f64 (.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))
▶	99.6%	#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) y))
▶	4.9%	#s(approx 2 x)

Compiler

Compiled 59 to 45 computations (23.7% saved)

series180.0ms (5.8%)

Memory

37.1MiB live, 129.4MiB allocated; 45ms collecting garbage

Counts

8 → 29

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite249.0ms (8%)

Memory

-3.2MiB live, 129.2MiB allocated; 93ms collecting garbage

Counts

8 → 20

Calls

Call 1

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

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

eval9.0ms (0.3%)

Memory: 10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 056 to 194 computations (81.6% saved)

prune4.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	0	3	3
Done	1	1	2
Total	42	5	47

Accuracy

99.9%

Counts

47 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.0%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
✓	1.2%	#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) y))
✓	99.6%	#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) y))
▶	4.9%	#s(approx 2 (fabs.f64 x))
✓	4.9%	#s(approx 2 x)

Compiler

Compiled 51 to 41 computations (19.6% saved)

series141.0ms (4.5%)

Memory

-13.5MiB live, 38.1MiB allocated; 21ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs
#s(approx 2 (fabs.f64 x))
(fabs.f64 x)
x

Outputs
#s(approx (fabs x) (fabs.f64 x))
#s(approx x x)

Calls

6 calls:

Time	Variable	Point
0.0ms	x	-inf
0.0ms	x	inf
0.0ms	x	0
0.0ms	y	0
0.0ms	y	inf

rewrite222.0ms (7.1%)

Memory

-12.6MiB live, 125.0MiB allocated; 32ms collecting garbage

Counts

3 → 11

Calls

Call 1

Inputs
#s(approx 2 (fabs.f64 x))
(fabs.f64 x)
x

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

eval1.0ms (0%)

Memory: 1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 55 to 26 computations (52.7% saved)

prune2.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	6	0	6
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	6	5	11

Accuracy

99.9%

Counts

11 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.0%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
✓	1.2%	#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(literal -1 binary64) y))
✓	99.6%	#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) y))
✓	4.9%	#s(approx 2 (fabs.f64 x))
✓	4.9%	#s(approx 2 x)

Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes146.0ms (4.7%)

Memory

-18.8MiB live, 62.2MiB allocated; 180ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

12 → 1

Calls

Call 1

Inputs
#s(approx 2 x)

Outputs
#s(approx 2 x)

Call 2

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

Outputs
#s(approx (sqrt (+ (* x x) (* y y))) #s(approx (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) y))

Calls

12 calls:

120.0ms	(+.f64 (.f64 x x) (.f64 y y))
4.0ms	y
4.0ms	x
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
4.9%	1	`(*.f64 y y)`
4.9%	1	`(*.f64 x x)`
4.9%	1	`(+.f64 (.f64 x x) (.f64 y y))`
4.9%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))`
4.9%	1	`x`
4.9%	1	`y`
99.6%	1	`(*.f64 y y)`
99.6%	1	`(*.f64 x x)`
99.6%	1	`(+.f64 (.f64 x x) (.f64 y y))`
99.6%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))`
99.6%	1	`x`
99.6%	1	`y`

Compiler

Compiled 191 to 98 computations (48.7% saved)

derivations0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 27 to 18 computations (33.3% saved)

preprocess100.0ms (3.2%)

Memory

5.0MiB live, 59.2MiB allocated; 41ms collecting garbage

Remove

(abs y)

(sort x y)

Compiler

Compiled 215 to 174 computations (19.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample994.0ms (31.8%)

preprocess60.0ms (1.9%)

series146.0ms (4.7%)

rewrite214.0ms (6.9%)

eval5.0ms (0.2%)

prune5.0ms (0.2%)

series359.0ms (11.5%)

rewrite250.0ms (8%)

eval25.0ms (0.8%)

prune9.0ms (0.3%)

series180.0ms (5.8%)

rewrite249.0ms (8%)

eval9.0ms (0.3%)

prune4.0ms (0.1%)

series141.0ms (4.5%)

rewrite222.0ms (7.1%)

eval1.0ms (0%)

prune2.0ms (0.1%)

regimes146.0ms (4.7%)

derivations0.0ms (0%)

preprocess100.0ms (3.2%)

end0.0ms (0%)

Profiling