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

start0.0ms (0%)

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

analyze17.0ms (0.6%)

Memory

28.5MiB live, 28.5MiB 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
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)

sample1.0s (35.8%)

Memory

21.3MiB live, 1 133.1MiB allocated; 575ms collecting garbage

Samples

525.0ms	8 256×	0	valid
13.0ms	334×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-sqrt: 84.0ms (50.8% of total)

ival-mult!: 56.0ms (33.8% of total)

ival-add!: 23.0ms (13.9% of total)

adjust: 2.0ms (1.2% of total)

Bogosity

preprocess74.0ms (2.6%)

Memory

-6.3MiB live, 44.0MiB allocated; 9ms 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
▶	68.5%	(sqrt.f64 (+.f64 (*.f64 x x) y))

Symmetry

(abs x)

Compiler

Compiled 10 to 10 computations (0% saved)

series14.0ms (0.5%)

Memory

21.6MiB live, 21.6MiB 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	Expression
1.0ms	x	@	inf	((sqrt (+ (* x x) y)) (+ (* x x) y) (* x x) x y)
1.0ms	x	@	-inf	((sqrt (+ (* x x) y)) (+ (* x x) y) (* x x) x y)
1.0ms	y	@	inf	((sqrt (+ (* x x) y)) (+ (* x x) y) (* x x) x y)
1.0ms	x	@	0	((sqrt (+ (* x x) y)) (+ (* x x) y) (* x x) x y)
1.0ms	y	@	-inf	((sqrt (+ (* x x) y)) (+ (* x x) y) (* x x) x y)

rewrite197.0ms (6.8%)

Memory

1.6MiB live, 271.6MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	37	16
2	108	16
3	363	16
4	789	16
5	3241	16
0	8200	14

Stop Event

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

Counts

5 → 319

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 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 5 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/2 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y))) #s(literal 1/8 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) (.f64 (fma.f64 x x y) (fma.f64 x x y))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (neg.f64 (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (fma.f64 x x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (fma.f64 x x y)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 x x y)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 x x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 7 binary64)) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 7 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 7/2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 7/2 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal -1/2 binary64)) (fma.f64 x x y))
(.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 x x y)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fma.f64 x x y)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/4 binary64)))
(*.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 (neg.f64 (sqrt.f64 (fma.f64 x x y)))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y)))))
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal 0 binary64)) (sqrt.f64 (fma.f64 x x y)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x y))) (sqrt.f64 (sqrt.f64 (fma.f64 x x y))))
(*.f64 (pow.f64 (fma.f64 x x y) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x y) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (fma.f64 x x y)) (pow.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y)) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) #s(literal 0 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 4 binary64)) #s(literal 1/8 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 (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 (*.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y)) (fma.f64 x x y))
(/.f64 (pow.f64 (fma.f64 x x y) #s(literal 0 binary64)) (pow.f64 (fma.f64 x x y) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x y) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) #s(literal 0 binary64)))
(/.f64 (fma.f64 x x y) (sqrt.f64 (fma.f64 x x y)))
(neg.f64 (neg.f64 (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 (pow.f64 (fma.f64 x x y) #s(literal 4 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (fma.f64 x x y)) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fma.f64 x x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 7 binary64)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 7/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/4 binary64)))
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(.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 x) x) x)) (sqrt.f64 (neg.f64 x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) (sqrt.f64 x))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)) (.f64 x x))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fabs.f64 x) #s(literal 0 binary64)) (.f64 x x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 0 binary64)) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 0 binary64)) (.f64 x x))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 0 binary64)) (*.f64 x x))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/2 binary64)) (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (pow.f64 (.f64 (*.f64 (fabs.f64 x) x) x) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (fabs.f64 x) x) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (neg.f64 x) x) x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (fabs.f64 x) x) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) (fabs.f64 x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 x) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (fabs.f64 x) x) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (*.f64 (neg.f64 x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (fabs.f64 x) x) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 7 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fabs.f64 x) #s(literal 7 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (neg.f64 x) x) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 7 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 x (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 x x) #s(literal 0 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (fabs.f64 x) x) (neg.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (fabs.f64 x) x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (neg.f64 x) x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (neg.f64 (fabs.f64 x))) (sqrt.f64 (.f64 (*.f64 (fabs.f64 x) x) (neg.f64 x))))
(.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (.f64 (*.f64 (fabs.f64 x) x) x)))
(.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (.f64 (*.f64 (neg.f64 x) x) x)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (*.f64 x x) x)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 x #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 x x)
(pow.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (.f64 x x) (.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal -1 binary64)))) (pow.f64 (.f64 x x) (.f64 (sinh.f64 #s(literal 1 binary64)) (sinh.f64 #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -2 binary64)))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 0 binary64)) (pow.f64 (fabs.f64 x) #s(literal -2 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (pow.f64 x #s(literal 0 binary64)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 0 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 (fabs.f64 x) x) x) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (fabs.f64 x) x) (neg.f64 x)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 x) x) x) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 x x) x) (pow.f64 x #s(literal 1 binary64)))
(/.f64 (pow.f64 (.f64 x x) #s(literal 0 binary64)) (pow.f64 (.f64 x x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -3/2 binary64)))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -3/2 binary64)))
(/.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (fabs.f64 x) (pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64)))
(/.f64 (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)))
(/.f64 (*.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64)))
(/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64)))
(/.f64 (*.f64 x x) (pow.f64 x #s(literal 0 binary64)))
(/.f64 (.f64 x x) (pow.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 0 binary64)))
(/.f64 (.f64 x x) (pow.f64 (.f64 x x) #s(literal 0 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
y

eval77.0ms (2.6%)

Memory: 6.9MiB live, 99.3MiB allocated; 27ms collecting garbage
Compiler: Compiled 2 936 to 1 209 computations (58.8% saved)

prune7.0ms (0.2%)

Memory

25.1MiB live, 25.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	340	5	345
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	341	5	346

Accuracy

100.0%

Counts

346 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.5%	(sqrt.f64 (fma.f64 x x y))
▶	59.8%	(sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) y)) y))
▶	30.1%	(sqrt.f64 #s(approx (+ (* x x) y) y))
▶	72.2%	#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)))))))
▶	1.1%	#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))

Compiler

Compiled 80 to 80 computations (0% saved)

series24.0ms (0.8%)

Memory

12.1MiB live, 57.6MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	1046

Stop Event

1×	iter-limit

Counts

23 → 47

Calls

Call 1

Inputs
#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)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
x
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 y (pow.f64 x #s(literal 2 binary64)))
y
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(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)
(sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) y)) y))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) y)) y)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 x x) y)
(*.f64 x 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 (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x))
#s(approx x x)
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ y (pow x 2)) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#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 (+ 1 (/ (* x x) y)) #s(literal 1 binary64))
#s(approx (+ 1 (/ (* x x) y)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
#s(approx (/ (* x x) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
#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 (+ 1 (* 1/2 (/ y (pow x 2)))) (+.f64 #s(literal 1 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 (+ 1 (/ (* x x) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 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 (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 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 (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
#s(approx (+ 1 (/ (* x x) y)) (/.f64 (+.f64 y (pow.f64 x #s(literal 2 binary64))) 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 (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 x y))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#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 (+ 1 (* 1/2 (/ y (pow x 2))))) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.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	Expression
4.0ms	x	@	inf	((sqrt (+ (* x x) y)) (* x (+ 1 (* 1/2 (/ y (pow x 2))))) x (+ 1 (* 1/2 (/ y (pow x 2)))) 1 (* 1/2 (/ y (pow x 2))) 1/2 (/ y (pow x 2)) y (pow x 2) 2 (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (* -1 x) -1 (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (* (+ 1 (/ (* x x) y)) y)) (* (+ 1 (/ (* x x) y)) y) (+ 1 (/ (* x x) y)) (/ (* x x) y) (* x x))
3.0ms	y	@	0	((sqrt (+ (* x x) y)) (* x (+ 1 (* 1/2 (/ y (pow x 2))))) x (+ 1 (* 1/2 (/ y (pow x 2)))) 1 (* 1/2 (/ y (pow x 2))) 1/2 (/ y (pow x 2)) y (pow x 2) 2 (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (* -1 x) -1 (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (* (+ 1 (/ (* x x) y)) y)) (* (+ 1 (/ (* x x) y)) y) (+ 1 (/ (* x x) y)) (/ (* x x) y) (* x x))
3.0ms	y	@	-inf	((sqrt (+ (* x x) y)) (* x (+ 1 (* 1/2 (/ y (pow x 2))))) x (+ 1 (* 1/2 (/ y (pow x 2)))) 1 (* 1/2 (/ y (pow x 2))) 1/2 (/ y (pow x 2)) y (pow x 2) 2 (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (* -1 x) -1 (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (* (+ 1 (/ (* x x) y)) y)) (* (+ 1 (/ (* x x) y)) y) (+ 1 (/ (* x x) y)) (/ (* x x) y) (* x x))
3.0ms	x	@	0	((sqrt (+ (* x x) y)) (* x (+ 1 (* 1/2 (/ y (pow x 2))))) x (+ 1 (* 1/2 (/ y (pow x 2)))) 1 (* 1/2 (/ y (pow x 2))) 1/2 (/ y (pow x 2)) y (pow x 2) 2 (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (* -1 x) -1 (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (* (+ 1 (/ (* x x) y)) y)) (* (+ 1 (/ (* x x) y)) y) (+ 1 (/ (* x x) y)) (/ (* x x) y) (* x x))
2.0ms	y	@	inf	((sqrt (+ (* x x) y)) (* x (+ 1 (* 1/2 (/ y (pow x 2))))) x (+ 1 (* 1/2 (/ y (pow x 2)))) 1 (* 1/2 (/ y (pow x 2))) 1/2 (/ y (pow x 2)) y (pow x 2) 2 (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (* -1 x) -1 (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (* (+ 1 (/ (* x x) y)) y)) (* (+ 1 (/ (* x x) y)) y) (+ 1 (/ (* x x) y)) (/ (* x x) y) (* x x))

rewrite256.0ms (8.9%)

Memory

1.8MiB live, 478.1MiB allocated; 92ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	126
0	40	114
1	151	113
2	572	105
3	2726	105
0	8066	102

Stop Event

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

Counts

23 → 2 344

Calls

Call 1

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

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

eval314.0ms (10.8%)

Memory: 1.8MiB live, 517.7MiB allocated; 121ms collecting garbage
Compiler: Compiled 16 037 to 7 269 computations (54.7% saved)

prune33.0ms (1.1%)

Memory

-14.4MiB live, 87.2MiB allocated; 10ms collecting garbage

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1 723	5	1 728
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 726	7	1 733

Accuracy

100.0%

Counts

1 733 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.8%	(sqrt.f64 (fma.f64 (/.f64 (*.f64 x x) y) y y))
✓	68.5%	(sqrt.f64 (fma.f64 x x y))
▶	19.8%	(sqrt.f64 (sqrt.f64 (.f64 #s(approx (+ ( x x) y) y) #s(approx (+ (* x x) y) y))))
▶	32.2%	(sqrt.f64 (fabs.f64 #s(approx (+ (* x x) y) y)))
✓	30.1%	(sqrt.f64 #s(approx (+ (* x x) y) y))
▶	72.4%	#s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x))
▶	1.1%	#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))

Compiler

Compiled 90 to 84 computations (6.7% saved)

series56.0ms (1.9%)

Memory

17.0MiB live, 61.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	417	2334

Stop Event

1×	iter-limit

Counts

18 → 75

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	y	@	inf	((sqrt (+ (* x x) y)) (+ (* (/ y x) 1/2) x) (/ y x) y x 1/2 (sqrt (+ (* x x) y)) (neg x) (sqrt (fabs (+ (* x x) y))) (fabs (+ (* x x) y)) (+ (* x x) y) (sqrt (sqrt (* (+ (* x x) y) (+ (* x x) y)))) (sqrt (* (+ (* x x) y) (+ (* x x) y))) (* (+ (* x x) y) (+ (* x x) y)) (sqrt (+ (* (/ (* x x) y) y) y)) (+ (* (/ (* x x) y) y) y) (/ (* x x) y) (* x x))
5.0ms	y	@	0	((sqrt (+ (* x x) y)) (+ (* (/ y x) 1/2) x) (/ y x) y x 1/2 (sqrt (+ (* x x) y)) (neg x) (sqrt (fabs (+ (* x x) y))) (fabs (+ (* x x) y)) (+ (* x x) y) (sqrt (sqrt (* (+ (* x x) y) (+ (* x x) y)))) (sqrt (* (+ (* x x) y) (+ (* x x) y))) (* (+ (* x x) y) (+ (* x x) y)) (sqrt (+ (* (/ (* x x) y) y) y)) (+ (* (/ (* x x) y) y) y) (/ (* x x) y) (* x x))
3.0ms	y	@	-inf	((sqrt (+ (* x x) y)) (+ (* (/ y x) 1/2) x) (/ y x) y x 1/2 (sqrt (+ (* x x) y)) (neg x) (sqrt (fabs (+ (* x x) y))) (fabs (+ (* x x) y)) (+ (* x x) y) (sqrt (sqrt (* (+ (* x x) y) (+ (* x x) y)))) (sqrt (* (+ (* x x) y) (+ (* x x) y))) (* (+ (* x x) y) (+ (* x x) y)) (sqrt (+ (* (/ (* x x) y) y) y)) (+ (* (/ (* x x) y) y) y) (/ (* x x) y) (* x x))
3.0ms	x	@	0	((sqrt (+ (* x x) y)) (+ (* (/ y x) 1/2) x) (/ y x) y x 1/2 (sqrt (+ (* x x) y)) (neg x) (sqrt (fabs (+ (* x x) y))) (fabs (+ (* x x) y)) (+ (* x x) y) (sqrt (sqrt (* (+ (* x x) y) (+ (* x x) y)))) (sqrt (* (+ (* x x) y) (+ (* x x) y))) (* (+ (* x x) y) (+ (* x x) y)) (sqrt (+ (* (/ (* x x) y) y) y)) (+ (* (/ (* x x) y) y) y) (/ (* x x) y) (* x x))
2.0ms	x	@	inf	((sqrt (+ (* x x) y)) (+ (* (/ y x) 1/2) x) (/ y x) y x 1/2 (sqrt (+ (* x x) y)) (neg x) (sqrt (fabs (+ (* x x) y))) (fabs (+ (* x x) y)) (+ (* x x) y) (sqrt (sqrt (* (+ (* x x) y) (+ (* x x) y)))) (sqrt (* (+ (* x x) y) (+ (* x x) y))) (* (+ (* x x) y) (+ (* x x) y)) (sqrt (+ (* (/ (* x x) y) y) y)) (+ (* (/ (* x x) y) y) y) (/ (* x x) y) (* x x))

rewrite221.0ms (7.6%)

Memory

15.7MiB live, 246.9MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	133
0	35	111
1	130	111
2	462	105
3	1739	105
4	7821	105
0	8040	95

Stop Event

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

Counts

18 → 1 012

Calls

Call 1

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

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

eval223.0ms (7.7%)

Memory: -26.3MiB live, 267.9MiB allocated; 68ms collecting garbage
Compiler: Compiled 9 503 to 3 583 computations (62.3% saved)

prune23.0ms (0.8%)

Memory

-17.9MiB live, 74.7MiB allocated; 9ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	992	0	992
Fresh	0	0	0
Picked	0	5	5
Done	0	2	2
Total	992	7	999

Accuracy

100.0%

Counts

999 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.8%	(sqrt.f64 (fma.f64 (/.f64 (*.f64 x x) y) y y))
✓	68.5%	(sqrt.f64 (fma.f64 x x y))
✓	19.8%	(sqrt.f64 (sqrt.f64 (.f64 #s(approx (+ ( x x) y) y) #s(approx (+ (* x x) y) y))))
✓	32.2%	(sqrt.f64 (fabs.f64 #s(approx (+ (* x x) y) y)))
✓	30.1%	(sqrt.f64 #s(approx (+ (* x x) y) y))
✓	72.4%	#s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x))
✓	1.1%	#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))

Compiler

Compiled 110 to 87 computations (20.9% saved)

regimes20.0ms (0.7%)

Memory

25.2MiB live, 71.4MiB allocated; 3ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(+.f64 (*.f64 x x) y)
4.0ms	x
3.0ms	y
3.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
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`
86.9%	2	`y`

Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes17.0ms (0.6%)

Memory

-2.1MiB live, 47.9MiB allocated; 8ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	(+.f64 (*.f64 x x) y)
3.0ms	x
3.0ms	y
3.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
68.5%	1	`y`
68.5%	1	`(*.f64 x x)`
68.5%	1	`(+.f64 (*.f64 x x) y)`
68.5%	1	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
68.5%	1	`x`

Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes12.0ms (0.4%)

Memory

-7.8MiB live, 38.6MiB allocated; 3ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(+.f64 (*.f64 x x) y)
2.0ms	x
2.0ms	y
2.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
32.2%	1	`(*.f64 x x)`
32.2%	1	`(+.f64 (*.f64 x x) y)`
32.2%	1	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
32.2%	1	`y`
32.2%	1	`x`

Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes8.0ms (0.3%)

Memory

30.2MiB live, 30.2MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

Calls

5 calls:

2.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
2.0ms	x
1.0ms	(+.f64 (*.f64 x x) y)
1.0ms	y
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
30.1%	1	`(*.f64 x x)`
30.1%	1	`(+.f64 (*.f64 x x) y)`
30.1%	1	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
30.1%	1	`y`
30.1%	1	`x`

Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes8.0ms (0.3%)

Memory

-25.8MiB live, 20.5MiB allocated; 3ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	x
1.0ms	y
1.0ms	(+.f64 (*.f64 x x) y)
1.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
1.1%	1	`y`
1.1%	1	`(*.f64 x x)`
1.1%	1	`(+.f64 (*.f64 x x) y)`
1.1%	1	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
1.1%	1	`x`

Compiler

Compiled 13 to 16 computations (-23.1% saved)

bsearch4.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	1.5704714627177436e+133	1.931555021282227e+133

Samples

2.0ms	48×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 48 to 55 computations (-14.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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)

derivations129.0ms (4.5%)

Memory

-10.4MiB live, 168.4MiB allocated; 37ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 28 to 20 computations (28.6% saved)

preprocess122.0ms (4.2%)

Memory: 5.7MiB live, 100.6MiB allocated; 29ms collecting garbage
Remove: (abs x)
Compiler: Compiled 109 to 101 computations (7.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze17.0ms (0.6%)

sample1.0s (35.8%)

preprocess74.0ms (2.6%)

series14.0ms (0.5%)

rewrite197.0ms (6.8%)

eval77.0ms (2.6%)

prune7.0ms (0.2%)

series24.0ms (0.8%)

rewrite256.0ms (8.9%)

eval314.0ms (10.8%)

prune33.0ms (1.1%)

series56.0ms (1.9%)

rewrite221.0ms (7.6%)

eval223.0ms (7.7%)

prune23.0ms (0.8%)

regimes20.0ms (0.7%)

regimes17.0ms (0.6%)

regimes12.0ms (0.4%)

regimes8.0ms (0.3%)

regimes8.0ms (0.3%)

bsearch4.0ms (0.1%)

derivations129.0ms (4.5%)

preprocess122.0ms (4.2%)

end0.0ms (0%)

Profiling