Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A

start0.0ms (0.0%)

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

analyze15.0ms (0.3%)

Memory

34.2MiB live, 34.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	0
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	1
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	2
25.0%	25.0%	74.9%	0.1%	0.0%	0.0%	0.0%	3
28.6%	25.0%	62.4%	0.1%	0.0%	12.5%	0.0%	4
46.2%	37.5%	43.7%	0.1%	0.0%	18.7%	0.0%	5
52.2%	37.5%	34.3%	0.1%	0.0%	28.1%	0.0%	6
65.1%	43.7%	23.4%	0.1%	0.0%	32.8%	0.0%	7
70.9%	43.7%	18.0%	0.1%	0.0%	38.2%	0.0%	8
79.5%	46.8%	12.1%	0.1%	0.0%	41.0%	0.0%	9
83.6%	46.8%	9.2%	0.1%	0.0%	43.9%	0.0%	10
88.7%	48.4%	6.1%	0.1%	0.0%	45.4%	0.0%	11
91.3%	48.4%	4.6%	0.1%	0.0%	46.9%	0.0%	12

Compiler

Compiled 6 to 6 computations (0.0% saved)

sample5.3s (87.3%)

Memory

117.5MiB live, 1 769.3MiB allocated; 6.6s collecting garbage

Samples

516.0ms	8 255×	0	valid
17.0ms	520×	0	invalid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-sqrt: 185.0ms (81.0% of total)

ival-add!: 42.0ms (18.4% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

preprocess63.0ms (1.0%)

Memory

-16.7MiB live, 74.2MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	31	26
2	59	26
3	141	26
4	343	26
5	885	26

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (+.f64 x y))

Symmetry

(sort x y)

Compiler

Compiled 8 to 8 computations (0.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series22.0ms (0.4%)

Memory

34.0MiB live, 34.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	783

Stop Event

1×	iter-limit

Counts

4 → 31

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	inf
1.0ms	y	-inf
1.0ms	y	inf
0.0ms	x	0

rewrite266.0ms (4.4%)

Memory

-39.7MiB live, 199.9MiB allocated; 161ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	6	9
1	29	9
2	73	9
3	153	9
4	380	9
5	1250	9
0	4140	9

Stop Event

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

Counts

4 → 152

Calls

Call 1

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

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

eval15.0ms (0.2%)

Memory: 33.6MiB live, 33.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 064 to 572 computations (81.3% saved)

prune5.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	177	3	180
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	177	4	181

Accuracy

100.0%

Counts

181 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (+.f64 y x) (sqrt.f64 (+.f64 y x)))
✓	100.0%	(sqrt.f64 (+.f64 x y))
▶	96.6%	(sqrt.f64 #s(approx (+ x y) y))
▶	3.8%	#s(approx (sqrt (+ x y)) (sqrt.f64 x))

Compiler

Compiled 25 to 20 computations (20.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series32.0ms (0.5%)

Memory

-12.8MiB live, 42.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	337	1791

Stop Event

1×	iter-limit

Counts

9 → 55

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (sqrt (+ x y)) (sqrt.f64 y))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)))))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 x y))
#s(approx (/ (+ y x) (sqrt (+ y x))) (/.f64 y (sqrt.f64 y)))
#s(approx (/ (+ y x) (sqrt (+ y x))) (+.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (sqrt.f64 y) #s(literal 3 binary64)))))) (/.f64 y (sqrt.f64 y))))
#s(approx (/ (+ y x) (sqrt (+ y x))) (+.f64 (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 y) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (sqrt.f64 y) #s(literal 3 binary64)))))) (/.f64 y (sqrt.f64 y))))
#s(approx (/ (+ y x) (sqrt (+ y x))) (+.f64 (.f64 x (-.f64 (+.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 y) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 y) #s(literal 7 binary64)))))))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 y) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (sqrt.f64 y) #s(literal 3 binary64)))))) (/.f64 y (sqrt.f64 y))))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (+ x y)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (+ x y)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ x y)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (+ x y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
#s(approx (/ (+ y x) (sqrt (+ y x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ y x) (sqrt (+ y x))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (+ y x) (sqrt (+ y x))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (+ y x) (sqrt (+ y x))) (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 y (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt x) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))))
#s(approx (+ x y) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx (/ (+ y x) (sqrt (+ y x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ y x) (sqrt (+ y x))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (+ y x) (sqrt (+ y x))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (+ y x) (sqrt (+ y x))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x)) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x)))))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (.f64 y (+.f64 (.f64 y (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (/ (+ y x) (sqrt (+ y x))) (/.f64 x (sqrt.f64 x)))
#s(approx (/ (+ y x) (sqrt (+ y x))) (+.f64 (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) (/.f64 x (sqrt.f64 x))))
#s(approx (/ (+ y x) (sqrt (+ y x))) (+.f64 (.f64 y (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) (/.f64 x (sqrt.f64 x))))
#s(approx (/ (+ y x) (sqrt (+ y x))) (+.f64 (.f64 y (-.f64 (+.f64 (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 7 binary64)))))))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) (/.f64 x (sqrt.f64 x))))
#s(approx (sqrt (+ x y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (sqrt (+ x y)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
#s(approx (sqrt (+ x y)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ x y)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (/ (+ y x) (sqrt (+ y x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (/ (+ y x) (sqrt (+ y x))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
#s(approx (/ (+ y x) (sqrt (+ y x))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))
#s(approx (/ (+ y x) (sqrt (+ y x))) (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))))
#s(approx (+ x y) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
#s(approx (/ (+ y x) (sqrt (+ y x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (/ (+ y x) (sqrt (+ y x))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (/ (+ y x) (sqrt (+ y x))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))) (/.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (/ (+ y x) (sqrt (+ y x))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))) y)) (/.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))

Calls

6 calls:

Time	Variable	Point
10.0ms	x	-inf
1.0ms	x	0
1.0ms	y	-inf
1.0ms	y	0
1.0ms	x	inf

rewrite259.0ms (4.3%)

Memory

-13.2MiB live, 123.3MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
0	16	33
1	69	33
2	201	33
3	715	33
0	4642	33

Stop Event

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

Counts

9 → 351

Calls

Call 1

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

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

eval35.0ms (0.6%)

Memory: 10.2MiB live, 63.4MiB allocated; 15ms collecting garbage
Compiler: Compiled 7 959 to 1 195 computations (85.0% saved)

prune6.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	304	0	304
Fresh	0	0	0
Picked	3	0	3
Done	-3	4	1
Total	304	4	308

Accuracy

100.0%

Counts

308 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 (+.f64 y x) (sqrt.f64 (+.f64 y x)))
✓	100.0%	(sqrt.f64 (+.f64 x y))
✓	96.6%	(sqrt.f64 #s(approx (+ x y) y))
✓	3.8%	#s(approx (sqrt (+ x y)) (sqrt.f64 x))

Compiler

Compiled 25 to 20 computations (20.0% saved)

regimes31.0ms (0.5%)

Memory

-40.0MiB live, 53.2MiB allocated; 12ms collecting garbage

Counts

1 → 1

2 → 1

4 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Calls

12 calls:

8.0ms	y
5.0ms	(+.f64 x y)
2.0ms	(sqrt.f64 (+.f64 x y))
2.0ms	x
2.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
3.8%	1	`(+.f64 x y)`
3.8%	1	`(sqrt.f64 (+.f64 x y))`
3.8%	1	`x`
3.8%	1	`y`
96.6%	1	`(+.f64 x y)`
96.6%	1	`(sqrt.f64 (+.f64 x y))`
96.6%	1	`x`
96.6%	1	`y`
100.0%	1	`(+.f64 x y)`
100.0%	1	`(sqrt.f64 (+.f64 x y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 52 to 46 computations (11.5% saved)

derivations4.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 17 to 10 computations (41.2% saved)

preprocess15.0ms (0.3%)

Memory: 30.2MiB live, 30.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 61 to 47 computations (23.0% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze15.0ms (0.3%)

sample5.3s (87.3%)

preprocess63.0ms (1.0%)

sample0.0ms (0.0%)

series22.0ms (0.4%)

rewrite266.0ms (4.4%)

eval15.0ms (0.2%)

prune5.0ms (0.1%)

sample0.0ms (0.0%)

series32.0ms (0.5%)

rewrite259.0ms (4.3%)

eval35.0ms (0.6%)

prune6.0ms (0.1%)

regimes31.0ms (0.5%)

derivations4.0ms (0.1%)

preprocess15.0ms (0.3%)

end0.0ms (0.0%)

Profiling