Metrics for Linear.Quaternion:$clog from linear-1.19.1.3

start0.0ms (0%)

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

analyze56.0ms (3.7%)

Memory

-6.3MiB live, 46.1MiB allocated; 27ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
66.7%	62.4%	31.2%	0.1%	0%	6.2%	0%	6
75%	65.6%	21.9%	0.1%	0%	12.5%	0%	7
80%	68.7%	17.2%	0.1%	0%	14%	0%	8
85.7%	70.2%	11.7%	0.1%	0%	18%	0%	9
88.9%	71.8%	9%	0.1%	0%	19.1%	0%	10
92.3%	72.6%	6%	0.1%	0%	21.3%	0%	11
94.1%	73.4%	4.6%	0.1%	0%	22%	0%	12

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample716.0ms (47.6%)

Memory

-12.7MiB live, 1 262.8MiB allocated; 196ms collecting garbage

Samples

485.0ms	8 256×	0	valid
13.0ms	332×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 218.0ms

ival-mult!: 96.0ms (44.1% of total)

ival-sqrt: 95.0ms (43.6% of total)

ival-add!: 26.0ms (11.9% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

preprocess52.0ms (3.5%)

Memory

-14.8MiB live, 41.5MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	38
1	51	38
2	141	38
3	304	38
4	764	38
5	3581	38

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.6%	(sqrt.f64 (+.f64 (*.f64 x x) y))

Symmetry

(abs x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

series12.0ms (0.8%)

Memory

32.6MiB live, 32.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	735

Stop Event

1×	iter-limit

Counts

5 → 30

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite81.0ms (5.4%)

Memory

-4.0MiB live, 87.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	37	16
0	320	14

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

5 → 71

Calls

Call 1

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

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

eval29.0ms (1.9%)

Memory: -12.7MiB live, 32.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 664 to 360 computations (78.4% saved)

prune4.0ms (0.3%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	5	98

Accuracy

100.0%

Counts

98 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.6%	(.f64 (sqrt.f64 (+.f64 (/.f64 y (.f64 x x)) #s(literal 1 binary64))) (fabs.f64 x))
▶	66.6%	(sqrt.f64 (fma.f64 x x y))
▶	30.8%	(sqrt.f64 #s(approx (+ (* x x) y) y))
▶	30.7%	#s(approx (sqrt (+ (* x x) y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
▶	1.2%	#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))

Compiler

Compiled 94 to 74 computations (21.3% saved)

series40.0ms (2.7%)

Memory

-6.4MiB live, 85.8MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	330	2225

Stop Event

1×	iter-limit

Counts

20 → 73

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
16.0ms	y	0
4.0ms	y	inf
3.0ms	y	-inf
2.0ms	x	0
1.0ms	x	inf

rewrite137.0ms (9.1%)

Memory

2.7MiB live, 283.3MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	99
0	36	101
1	111	85
2	813	82
0	10104	81

Stop Event

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

Counts

20 → 909

Calls

Call 1

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

Outputs
(*.f64 (neg.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x y))) (sqrt.f64 (sqrt.f64 (fma.f64 x x y))))
(.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) x)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (.f64 y (fma.f64 x x y))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (.f64 y (fma.f64 x x y)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 (fma.f64 x x y) y)) (sqrt.f64 (.f64 (/.f64 y (.f64 x x)) (.f64 x x))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 x x y) y)) (pow.f64 (.f64 (/.f64 y (.f64 x x)) (.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x x y) y)) (sqrt.f64 y))
(*.f64 (fma.f64 x x y) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x y))))
(*.f64 (fma.f64 x x y) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x y)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x y)) x) x)
(*.f64 x (/.f64 (sqrt.f64 (fma.f64 x x y)) x))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x x y))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 x x y) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x (*.f64 y (fma.f64 x x y))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)) #s(literal -1 binary64)) (.f64 x x))) (/.f64 (sqrt.f64 (fma.f64 x x y)) x))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 x x))) (sqrt.f64 (/.f64 (fma.f64 (/.f64 y (.f64 x x)) y (fma.f64 x x y)) (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x))) (sqrt.f64 (fma.f64 x x y)))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)))) (sqrt.f64 (fma.f64 x x y)))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (*.f64 y (fma.f64 x x y))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y))) (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 y (fma.f64 x x y)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 y y (.f64 (.f64 x x) (neg.f64 y))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (sqrt.f64 (fma.f64 y y (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (*.f64 x x) y)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x (*.f64 y (fma.f64 x x y)))))
(/.f64 (fma.f64 x x y) (neg.f64 (sqrt.f64 (fma.f64 x x y))))
(/.f64 (fma.f64 x x y) (sqrt.f64 (fma.f64 x x y)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x x y) (*.f64 (fma.f64 x x y) (fma.f64 x x y)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 y (fma.f64 x x y))) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (*.f64 y y) y)))))
(sqrt.f64 (fma.f64 x x y))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y)))))
(fabs.f64 (*.f64 x (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x x y)) x))))
(fabs.f64 (*.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x x y)) x)) x))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))))
(fabs.f64 (sqrt.f64 (fma.f64 x x y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))))
(.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 x x y)) x)) (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 x x y)) x)))
(.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x))) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y (.f64 x x)) y (fma.f64 x x y)) (.f64 x x)))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y (.f64 x x)) y (fma.f64 x x y)) (.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 (/.f64 (fma.f64 x x y) y)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x x y) y)) (/.f64 (sqrt.f64 y) x))
(.f64 (sqrt.f64 (fma.f64 x x y)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x y)) (/.f64 #s(literal -1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x))) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x)))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 y (.f64 x x)) y (fma.f64 x x y)) (*.f64 x x)))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 x x y) y) (/.f64 y x))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 x x y) y) (neg.f64 y))) x)
(/.f64 (sqrt.f64 (+.f64 x (/.f64 y x))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)))) (/.f64 (sqrt.f64 (fma.f64 x x y)) x))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)) #s(literal -1 binary64)))) (/.f64 (sqrt.f64 (fma.f64 x x y)) x))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 y (.f64 x x)) y (fma.f64 x x y)) (*.f64 x x)))))
(/.f64 (sqrt.f64 (expm1.f64 (.f64 (log.f64 (/.f64 y (.f64 x x))) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (fma.f64 (/.f64 y (.f64 x x)) y (fma.f64 x x y)) (.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y (.f64 x x)) y y) (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (fma.f64 (/.f64 y (.f64 x x)) y (fma.f64 x x y)) (*.f64 x x))))
(/.f64 (sqrt.f64 (/.f64 (fma.f64 x x y) y)) (sqrt.f64 (/.f64 (*.f64 x x) y)))
(/.f64 (sqrt.f64 (fma.f64 x x y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x x y)) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) (/.f64 (sqrt.f64 (fma.f64 x x y)) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x))) (fma.f64 (/.f64 y (.f64 x x)) (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y (.f64 x x)) y (fma.f64 x x y)) (.f64 x x)) (-.f64 (pow.f64 (/.f64 y (*.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))))
(fabs.f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x x y)) x))))
(fabs.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x x y)) x)))
(fabs.f64 (/.f64 (sqrt.f64 (fma.f64 x x y)) x))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x)))) #s(literal 1/2 binary64))))
(.f64 (/.f64 (/.f64 (fma.f64 x x y) y) (.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (/.f64 (fma.f64 x x y) y) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (/.f64 (/.f64 (fma.f64 x x y) y) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 x x) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 x x) y) (/.f64 (fma.f64 x x y) y)))) (/.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal 3 binary64)) (/.f64 (.f64 y y) (.f64 (.f64 (*.f64 x x) x) x))))
(.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y (.f64 x x)) y (fma.f64 x x y)) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 x x) y) (/.f64 (fma.f64 x x y) y)))) (.f64 (/.f64 (*.f64 x x) y) (/.f64 (fma.f64 x x y) y)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x))) x) #s(literal -1 binary64)) (/.f64 x (.f64 x x)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x))) x) #s(literal 1 binary64)) (/.f64 x (.f64 x x)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x))) x) (.f64 x x)) (/.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x))) x) (.f64 x x)) (/.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) x) x) (/.f64 x x))
(.f64 (/.f64 (/.f64 (fma.f64 x x y) y) #s(literal -1 binary64)) (/.f64 (.f64 (/.f64 y (.f64 x x)) (.f64 x x)) (*.f64 x x)))
(.f64 (/.f64 (/.f64 (fma.f64 x x y) y) #s(literal -1 binary64)) (/.f64 y (.f64 x x)))
(.f64 (/.f64 (/.f64 (fma.f64 x x y) y) (.f64 x x)) (/.f64 (.f64 (/.f64 y (.f64 x x)) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 x x y) y) (.f64 x x)) (/.f64 (.f64 (/.f64 y (.f64 x x)) (*.f64 x x)) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 x x y) y) (.f64 x x)) (/.f64 y #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 x x y) y) (.f64 x x)) y)
(.f64 (/.f64 (/.f64 (fma.f64 x x y) y) x) (/.f64 (.f64 (/.f64 y (.f64 x x)) (.f64 x x)) x))
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(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 y))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 y))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 0 binary64) y))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(fabs.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(fabs.f64 (/.f64 #s(literal 1 binary64) y))
(exp.f64 (fma.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 y)))
(+.f64 (cosh.f64 (neg.f64 (log.f64 y))) (sinh.f64 (neg.f64 (log.f64 y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 0 binary64) y))

eval101.0ms (6.7%)

Memory: 21.2MiB live, 222.6MiB allocated; 23ms collecting garbage
Compiler: Compiled 25 347 to 3 293 computations (87% saved)

prune20.0ms (1.4%)

Memory

-1.5MiB live, 48.7MiB allocated; 8ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	924	2	926
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	926	5	931

Accuracy

100.0%

Counts

931 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.6%	(.f64 (sqrt.f64 (-.f64 (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (fabs.f64 x))
✓	66.6%	(sqrt.f64 (fma.f64 x x y))
✓	30.8%	(sqrt.f64 #s(approx (+ (* x x) y) y))
✓	1.2%	#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))
▶	71.5%	#s(approx (sqrt (+ (* x x) y)) x)

Compiler

Compiled 42 to 33 computations (21.4% saved)

series16.0ms (1.1%)

Memory

-6.4MiB live, 40.7MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	314	2141

Stop Event

1×	iter-limit

Counts

10 → 66

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
2.0ms	x	-inf
1.0ms	y	-inf
1.0ms	y	inf
1.0ms	y	0
1.0ms	x	inf

rewrite38.0ms (2.5%)

Memory

9.0MiB live, 55.9MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	47
0	19	47
1	78	42
0	739	38

Stop Event

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

Counts

10 → 114

Calls

Call 1

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

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

eval27.0ms (1.8%)

Memory: -3.8MiB live, 82.2MiB allocated; 14ms collecting garbage
Compiler: Compiled 3 990 to 758 computations (81% saved)

prune6.0ms (0.4%)

Memory

-22.7MiB live, 22.5MiB allocated; 2ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	169	5	174

Accuracy

100.0%

Counts

174 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	82.6%	(.f64 (sqrt.f64 (-.f64 (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (fabs.f64 x))
✓	66.6%	(sqrt.f64 (fma.f64 x x y))
✓	30.8%	(sqrt.f64 #s(approx (+ (* x x) y) y))
✓	1.2%	#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))
✓	71.5%	#s(approx (sqrt (+ (* x x) y)) x)

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes39.0ms (2.6%)

Memory

27.8MiB live, 107.8MiB allocated; 15ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

3 → 2

8 → 2

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Calls

14 calls:

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

Results

Accuracy	Segments	Branch
71.5%	1	`(+.f64 (*.f64 x x) y)`
71.5%	1	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
71.5%	1	`y`
71.5%	1	`(*.f64 x x)`
71.5%	1	`x`
88.9%	2	`(*.f64 x x)`
73.9%	2	`(+.f64 (*.f64 x x) y)`
73.9%	2	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
88.9%	2	`x`
100.0%	2	`(*.f64 x x)`
100.0%	2	`(+.f64 (*.f64 x x) y)`
100.0%	2	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
100.0%	2	`x`
86.7%	2	`y`

Compiler

Compiled 119 to 75 computations (37% saved)

bsearch2.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	3.4018300208029464e+127	1.783700580425386e+132

Samples

1.0ms

16×

valid

Compiler

Compiled 22 to 22 computations (0% saved)

Precisions

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

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

ival-sqrt: 0.0ms (0% of total)

ival-mult!: 0.0ms (0% of total)

bsearch8.0ms (0.5%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.7356709152645136e-103	3.5495668456191915e-103

Samples

3.0ms	80×	0	valid
1.0ms	27×	0	invalid

Compiler

Compiled 89 to 80 computations (10.1% saved)

Precisions

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

ival-sqrt: 1.0ms (64.3% of total)

ival-mult!: 1.0ms (64.3% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

derivations87.0ms (5.8%)

Memory

-42.3MiB live, 19.4MiB allocated; 15ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 45 to 16 computations (64.4% saved)

preprocess30.0ms (2%)

Memory: 38.6MiB live, 79.9MiB allocated; 15ms collecting garbage
Compiler: Compiled 141 to 77 computations (45.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze56.0ms (3.7%)

sample716.0ms (47.6%)

preprocess52.0ms (3.5%)

series12.0ms (0.8%)

rewrite81.0ms (5.4%)

eval29.0ms (1.9%)

prune4.0ms (0.3%)

series40.0ms (2.7%)

rewrite137.0ms (9.1%)

eval101.0ms (6.7%)

prune20.0ms (1.4%)

series16.0ms (1.1%)

rewrite38.0ms (2.5%)

eval27.0ms (1.8%)

prune6.0ms (0.4%)

regimes39.0ms (2.6%)

bsearch2.0ms (0.1%)

bsearch8.0ms (0.5%)

derivations87.0ms (5.8%)

preprocess30.0ms (2%)

end0.0ms (0%)

Profiling