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

start0.0ms (0%)

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

analyze77.0ms (2.9%)

Memory

4.9MiB live, 49.9MiB allocated; 10ms 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
25%	25%	74.9%	0.1%	0%	0%	0%	3
28.6%	25%	62.4%	0.1%	0%	12.5%	0%	4
46.2%	37.5%	43.7%	0.1%	0%	18.7%	0%	5
52.2%	37.5%	34.3%	0.1%	0%	28.1%	0%	6
65.1%	43.7%	23.4%	0.1%	0%	32.8%	0%	7
70.9%	43.7%	18%	0.1%	0%	38.2%	0%	8
79.5%	46.8%	12.1%	0.1%	0%	41%	0%	9
83.6%	46.8%	9.2%	0.1%	0%	43.9%	0%	10
88.7%	48.4%	6.1%	0.1%	0%	45.4%	0%	11
91.3%	48.4%	4.6%	0.1%	0%	46.9%	0%	12

Compiler

Compiled 6 to 6 computations (0% saved)

sample990.0ms (37.9%)

Memory

-13.8MiB live, 788.5MiB allocated; 252ms collecting garbage

Samples

656.0ms	8 256×	0	valid
77.0ms	509×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-sqrt: 140.0ms (75% of total)

ival-add!: 45.0ms (24.1% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

preprocess78.0ms (3%)

Memory

-1.6MiB live, 44.2MiB allocated; 7ms 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
6	4312	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% saved)

series11.0ms (0.4%)

Memory

20.2MiB live, 20.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	767

Stop Event

1×	iter-limit

Counts

4 → 31

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((sqrt (+ x y)) (+ x y) x y)
1.0ms	x	@	inf	((sqrt (+ x y)) (+ x y) x y)
1.0ms	y	@	-inf	((sqrt (+ x y)) (+ x y) x y)
1.0ms	y	@	inf	((sqrt (+ x y)) (+ x y) x y)
0.0ms	x	@	0	((sqrt (+ x y)) (+ x y) x y)

rewrite226.0ms (8.7%)

Memory

-14.1MiB live, 176.0MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	6	9
1	29	9
2	237	9
3	2932	9
0	8676	9

Stop Event

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

Counts

4 → 335

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64))))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (fma.f64 (-.f64 y x) y (.f64 x x))))) (sqrt.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64))))) (sqrt.f64 x))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 y x) y (.f64 x x)))))) (sqrt.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x)))))) (sqrt.f64 (.f64 x (/.f64 x (-.f64 y x)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))) (sqrt.f64 y))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) (/.f64 (-.f64 y x) x))) (sqrt.f64 (/.f64 (-.f64 y x) x)))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 y (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 y (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 x))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (fma.f64 y (/.f64 (-.f64 y x) (.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (+.f64 y x) (.f64 x x))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 y x)))))
(.f64 (sqrt.f64 (sqrt.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (sqrt.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 y x)))))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x)))) (sqrt.f64 (+.f64 y x)))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)))) (sqrt.f64 (fma.f64 y (+.f64 y x) (.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (fma.f64 (-.f64 y x) y (.f64 x x)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (pow.f64 (.f64 (sqrt.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 y x) y (.f64 x x))))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))))) #s(literal 1/2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 y x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (/.f64 (+.f64 y x) (/.f64 (-.f64 y x) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 y x) x)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 y (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 y (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (fma.f64 y (/.f64 (-.f64 y x) (.f64 x x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (+.f64 y x) (.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 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 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 y x))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 y x)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 y (+.f64 y x) (.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 y y) (/.f64 y (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 y y) (/.f64 y (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (pow.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 y x) (+.f64 y x))) x) (sqrt.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 y x) (+.f64 y x))) x) (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
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(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))) (-.f64 y x)))
(/.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 y x) (+.f64 y x))) (.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) (.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 y x))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (-.f64 (.f64 (-.f64 y x) y) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 (-.f64 y x) y (.f64 x x)))
(neg.f64 (-.f64 (neg.f64 x) y))
(neg.f64 (+.f64 y x))
(fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (fma.f64 (-.f64 y x) y (.f64 x x)))) (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (fma.f64 (-.f64 y x) y (.f64 x x)))) (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x) (*.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 y (/.f64 (-.f64 y x) (.f64 x x)) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (.f64 x x)) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (/.f64 (.f64 y y) (fma.f64 y (/.f64 (-.f64 y x) (.f64 x x)) #s(literal 1 binary64))) (/.f64 y (.f64 x x)) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 (/.f64 y (fma.f64 y (/.f64 (-.f64 y x) (.f64 x x)) #s(literal 1 binary64))) (.f64 y (/.f64 y (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 y (/.f64 (-.f64 y x) (.f64 x x)) #s(literal 1 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 y (/.f64 (-.f64 y x) (.f64 x x)) #s(literal 1 binary64))) (/.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 (/.f64 x (fma.f64 y (/.f64 (-.f64 y x) (.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 (/.f64 (neg.f64 x) (/.f64 (-.f64 y x) x)) (/.f64 (neg.f64 x) x) (*.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (/.f64 x (/.f64 (-.f64 y x) x)) (/.f64 x x) (*.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (fma.f64 y (+.f64 y x) (.f64 x x)) (.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 y x)) (*.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (/.f64 y x) x x)
(fma.f64 (.f64 y y) (/.f64 y (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 y x)) (.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (.f64 (.f64 y y) y) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 y (/.f64 (.f64 y y) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 x (/.f64 x (-.f64 y x)) (*.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 x (/.f64 y x) x)
(sqrt.f64 (*.f64 (+.f64 y x) (+.f64 y x)))
(-.f64 (cosh.f64 (neg.f64 (log.f64 (+.f64 y x)))) (sinh.f64 (neg.f64 (log.f64 (+.f64 y x)))))
(-.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))))
(-.f64 (.f64 x (/.f64 x (-.f64 y x))) (.f64 y (/.f64 y (-.f64 y x))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (-.f64 y x) y (.f64 x x))))
(-.f64 (neg.f64 y) x)
(-.f64 y (neg.f64 x))
(-.f64 x (neg.f64 y))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) (sqrt.f64 (+.f64 y x))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 y x)) (neg.f64 (sqrt.f64 (+.f64 y x)))))
(fabs.f64 (+.f64 y x))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 y x) (+.f64 y x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (+.f64 y x)))
(+.f64 (cosh.f64 (log.f64 (+.f64 y x))) (sinh.f64 (log.f64 (+.f64 y x))))
(+.f64 (*.f64 x (/.f64 y x)) x)
(+.f64 (*.f64 (/.f64 y x) x) x)
(+.f64 (.f64 x (/.f64 x (-.f64 y x))) (.f64 y (/.f64 y (-.f64 y x))))
(+.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 y x) y (.f64 x x))))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (-.f64 y x) y (.f64 x x))))
(+.f64 (neg.f64 y) (neg.f64 x))
(+.f64 y (neg.f64 (neg.f64 x)))
(+.f64 y x)
(+.f64 x (*.f64 x (/.f64 y x)))
(+.f64 x (*.f64 (/.f64 y x) x))
(+.f64 x y)
x
y

eval120.0ms (4.6%)

Memory: -2.8MiB live, 42.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 4 147 to 1 132 computations (72.7% saved)

prune9.0ms (0.3%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	359	4	363
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	359	5	364

Accuracy

100.0%

Counts

364 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x))))
✓	100.0%	(sqrt.f64 (+.f64 x y))
▶	41.7%	(sqrt.f64 (.f64 (.f64 (sqrt.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)))) x))
▶	98.0%	(sqrt.f64 #s(approx (+ x y) y))
▶	3.5%	#s(approx (sqrt (+ x y)) (sqrt.f64 x))

Compiler

Compiled 34 to 31 computations (8.8% saved)

series112.0ms (4.3%)

Memory

-10.2MiB live, 87.3MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	642	4211

Stop Event

1×	iter-limit

Counts

18 → 112

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	y	@	inf	((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y (sqrt (* (* (sqrt (- (/ y x) -1)) (sqrt (- (/ y x) -1))) x)) (* (* (sqrt (- (/ y x) -1)) (sqrt (- (/ y x) -1))) x) (* (sqrt (- (/ y x) -1)) (sqrt (- (/ y x) -1))) (sqrt (- (/ y x) -1)) (- (/ y x) -1) (/ y x) -1 (/ 1 (/ 1 (sqrt (+ y x)))) 1 (/ 1 (sqrt (+ y x))) (sqrt (+ y x)) (+ y x))
9.0ms	y	@	-inf	((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y (sqrt (* (* (sqrt (- (/ y x) -1)) (sqrt (- (/ y x) -1))) x)) (* (* (sqrt (- (/ y x) -1)) (sqrt (- (/ y x) -1))) x) (* (sqrt (- (/ y x) -1)) (sqrt (- (/ y x) -1))) (sqrt (- (/ y x) -1)) (- (/ y x) -1) (/ y x) -1 (/ 1 (/ 1 (sqrt (+ y x)))) 1 (/ 1 (sqrt (+ y x))) (sqrt (+ y x)) (+ y x))
9.0ms	x	@	0	((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y (sqrt (* (* (sqrt (- (/ y x) -1)) (sqrt (- (/ y x) -1))) x)) (* (* (sqrt (- (/ y x) -1)) (sqrt (- (/ y x) -1))) x) (* (sqrt (- (/ y x) -1)) (sqrt (- (/ y x) -1))) (sqrt (- (/ y x) -1)) (- (/ y x) -1) (/ y x) -1 (/ 1 (/ 1 (sqrt (+ y x)))) 1 (/ 1 (sqrt (+ y x))) (sqrt (+ y x)) (+ y x))
7.0ms	x	@	inf	((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y (sqrt (* (* (sqrt (- (/ y x) -1)) (sqrt (- (/ y x) -1))) x)) (* (* (sqrt (- (/ y x) -1)) (sqrt (- (/ y x) -1))) x) (* (sqrt (- (/ y x) -1)) (sqrt (- (/ y x) -1))) (sqrt (- (/ y x) -1)) (- (/ y x) -1) (/ y x) -1 (/ 1 (/ 1 (sqrt (+ y x)))) 1 (/ 1 (sqrt (+ y x))) (sqrt (+ y x)) (+ y x))
6.0ms	y	@	0	((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y (sqrt (* (* (sqrt (- (/ y x) -1)) (sqrt (- (/ y x) -1))) x)) (* (* (sqrt (- (/ y x) -1)) (sqrt (- (/ y x) -1))) x) (* (sqrt (- (/ y x) -1)) (sqrt (- (/ y x) -1))) (sqrt (- (/ y x) -1)) (- (/ y x) -1) (/ y x) -1 (/ 1 (/ 1 (sqrt (+ y x)))) 1 (/ 1 (sqrt (+ y x))) (sqrt (+ y x)) (+ y x))

rewrite85.0ms (3.2%)

Memory

15.1MiB live, 105.5MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	103
0	32	87
1	132	66
0	1004	66

Stop Event

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

Counts

18 → 385

Calls

Call 1

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

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

eval68.0ms (2.6%)

Memory: 4.6MiB live, 106.7MiB allocated; 25ms collecting garbage
Compiler: Compiled 4 284 to 1 422 computations (66.8% saved)

prune11.0ms (0.4%)

Memory

-21.3MiB live, 25.9MiB allocated; 2ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	309	1	310
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	310	5	315

Accuracy

100.0%

Counts

315 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x))))
✓	100.0%	(sqrt.f64 (+.f64 x y))
▶	77.8%	(sqrt.f64 (.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 y x)))
✓	98.0%	(sqrt.f64 #s(approx (+ x y) y))
✓	3.5%	#s(approx (sqrt (+ x y)) (sqrt.f64 x))

Compiler

Compiled 31 to 31 computations (0% saved)

series24.0ms (0.9%)

Memory

11.7MiB live, 58.3MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	1149

Stop Event

1×	iter-limit

Counts

9 → 42

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite73.0ms (2.8%)

Memory

31.8MiB live, 78.8MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	44
0	15	44
1	66	36
0	565	35

Stop Event

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

Counts

9 → 127

Calls

Call 1

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

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

eval61.0ms (2.3%)

Memory: -32.1MiB live, 62.9MiB allocated; 21ms collecting garbage
Compiler: Compiled 1 511 to 694 computations (54.1% saved)

prune7.0ms (0.3%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	163	5	168

Accuracy

100.0%

Counts

168 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x))))
✓	100.0%	(sqrt.f64 (+.f64 x y))
▶	77.8%	(sqrt.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 y x)))
✓	98.0%	(sqrt.f64 #s(approx (+ x y) y))
✓	3.5%	#s(approx (sqrt (+ x y)) (sqrt.f64 x))

Compiler

Compiled 29 to 29 computations (0% saved)

series27.0ms (1%)

Memory

26.1MiB live, 26.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	1069

Stop Event

1×	iter-limit

Counts

7 → 38

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 y x)))
(*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 y x))
(fma.f64 (/.f64 x y) x x)
(/.f64 x y)
x
y
(/.f64 y x)

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((sqrt (* (+ (* (/ x y) x) x) (/ y x))) (* (+ (* (/ x y) x) x) (/ y x)) (+ (* (/ x y) x) x) (/ x y) x y (/ y x))
3.0ms	y	@	-inf	((sqrt (* (+ (* (/ x y) x) x) (/ y x))) (* (+ (* (/ x y) x) x) (/ y x)) (+ (* (/ x y) x) x) (/ x y) x y (/ y x))
2.0ms	x	@	inf	((sqrt (* (+ (* (/ x y) x) x) (/ y x))) (* (+ (* (/ x y) x) x) (/ y x)) (+ (* (/ x y) x) x) (/ x y) x y (/ y x))
2.0ms	y	@	0	((sqrt (* (+ (* (/ x y) x) x) (/ y x))) (* (+ (* (/ x y) x) x) (/ y x)) (+ (* (/ x y) x) x) (/ x y) x y (/ y x))
2.0ms	y	@	inf	((sqrt (* (+ (* (/ x y) x) x) (/ y x))) (* (+ (* (/ x y) x) x) (/ y x)) (+ (* (/ x y) x) x) (/ x y) x y (/ y x))

rewrite344.0ms (13.2%)

Memory

-19.1MiB live, 305.8MiB allocated; 89ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	35
0	13	35
1	55	35
2	475	21
3	6990	21
0	8328	21

Stop Event

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

Counts

7 → 639

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 y x)))
(*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 y x))
(fma.f64 (/.f64 x y) x x)
(/.f64 x y)
x
y
(/.f64 y x)

Outputs
(.f64 (.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (/.f64 (fabs.f64 x) (sqrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (sqrt.f64 (.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 y x))) (/.f64 (fabs.f64 x) (sqrt.f64 y)))
(.f64 (pow.f64 (.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 y x)) #s(literal 1/2 binary64)) (/.f64 (fabs.f64 x) (sqrt.f64 y)))
(.f64 (sqrt.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64))) (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 y)) (sqrt.f64 (/.f64 y x))))
(.f64 (sqrt.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64))) (sqrt.f64 (.f64 (/.f64 x y) y)))
(.f64 (sqrt.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64))) (pow.f64 (.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64))) (.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (fma.f64 (/.f64 x y) x x))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 x y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (fma.f64 (/.f64 x y) x x)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 x y) x x)) (sqrt.f64 (/.f64 y x)))
(pow.f64 (exp.f64 (log.f64 (+.f64 x y))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 x y) #s(literal 1/2 binary64))
(/.f64 (.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (.f64 x (-.f64 (.f64 (/.f64 (.f64 (/.f64 x y) x) y) x) x)))) (sqrt.f64 (-.f64 (*.f64 (/.f64 x y) x) x)))
(/.f64 (.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) #s(literal -1 binary64)) (.f64 (.f64 x x) x)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (*.f64 x x))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 x y) x x)) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 x y) x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 x y)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (fma.f64 (/.f64 x y) x x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x y) x x))) (sqrt.f64 (/.f64 x y)))
(/.f64 (.f64 (sqrt.f64 (.f64 x (-.f64 (.f64 (/.f64 (.f64 (/.f64 x y) x) y) x) x))) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (-.f64 (*.f64 (/.f64 x y) x) x)))
(/.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) #s(literal -1 binary64)) (.f64 (.f64 x x) x))) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (*.f64 x x))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x y) x))) (neg.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 (.f64 (+.f64 x y) (-.f64 (.f64 (/.f64 x y) x) x))) (sqrt.f64 (-.f64 (*.f64 (/.f64 x y) x) x)))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (.f64 x x)) (+.f64 x y))) (sqrt.f64 (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (*.f64 x x))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (+.f64 x y) x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (.f64 (.f64 (+.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x)))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 x x))))
(/.f64 (sqrt.f64 (.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) #s(literal -1 binary64)) (.f64 (.f64 x x) x)) (neg.f64 y))) (sqrt.f64 (.f64 (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (.f64 x x)) (neg.f64 x))))
(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x))) (sqrt.f64 (.f64 (-.f64 (*.f64 (/.f64 x y) x) x) x)))
(/.f64 (sqrt.f64 (.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) #s(literal -1 binary64)) (.f64 (.f64 x x) x)) y)) (sqrt.f64 (.f64 (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (.f64 x x)) x)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x y) x)) (sqrt.f64 x))
(/.f64 (sqrt.f64 (.f64 x (-.f64 (.f64 (/.f64 (.f64 (/.f64 x y) x) y) x) x))) (sqrt.f64 (.f64 (-.f64 (*.f64 (/.f64 x y) x) x) (/.f64 x y))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) #s(literal -1 binary64)) (.f64 (.f64 x x) x))) (sqrt.f64 (.f64 (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (*.f64 x x)) (/.f64 x y))))
(/.f64 (sqrt.f64 (fma.f64 (/.f64 x y) x x)) (sqrt.f64 (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (+.f64 x y) x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(sqrt.f64 (+.f64 x y))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x y)))))
(fabs.f64 (neg.f64 (sqrt.f64 (+.f64 x y))))
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (+.f64 x y)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (+.f64 x y)) #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 y x) (+.f64 x y)) (/.f64 x y))
(.f64 (.f64 (fma.f64 (/.f64 x y) x x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (fma.f64 (/.f64 x y) x x)))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (fma.f64 (/.f64 x y) x x))) (sqrt.f64 (/.f64 y x)))
(.f64 (.f64 (.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 y x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 y x)) x) (/.f64 x y))
(.f64 (.f64 (*.f64 (+.f64 x y) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 (.f64 (/.f64 x y) x) x)) (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 3 binary64)) (.f64 (.f64 x x) x))) (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 y y)) (.f64 x (fma.f64 (/.f64 x y) x x))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 (.f64 (/.f64 x y) x) x)) (.f64 x (-.f64 (.f64 (/.f64 (.f64 (/.f64 x y) x) y) x) x))) (fma.f64 (/.f64 x y) x x))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (.f64 x x)) (+.f64 x y)) (.f64 (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (.f64 x x)) (.f64 (.f64 x x) (-.f64 (/.f64 (.f64 (/.f64 x y) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))) (.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (.f64 x x)) (+.f64 x y)) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x y) x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 x x)) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 x x)) (.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 y y)))) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 x y) y))) (*.f64 (/.f64 x y) y))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 x y) y) y)) y)
(.f64 (/.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (.f64 x (-.f64 (.f64 (/.f64 (.f64 (/.f64 x y) x) y) x) x)) (*.f64 (/.f64 x y) x)))
(.f64 (/.f64 (/.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 (/.f64 y (.f64 x x)) y) #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) #s(literal -1 binary64)) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 y y)))))
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (neg.f64 x)) (neg.f64 y))
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 x y) (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 x y) (neg.f64 x)))
(*.f64 (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 x y) x))
(*.f64 (/.f64 (+.f64 x y) (neg.f64 x)) (/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 (/.f64 (.f64 (/.f64 x y) x) y) x) x)) (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 (/.f64 x y) x))) (neg.f64 x)))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 (/.f64 (.f64 (/.f64 x y) x) y) x) x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 (/.f64 x y) x))) x))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 (/.f64 (.f64 (/.f64 x y) x) y) x) x)) (neg.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 (/.f64 x y) x))) (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 (/.f64 (.f64 (/.f64 x y) x) y) x) x)) x) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) #s(literal -1 binary64)) (.f64 (.f64 x x) x)) (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (*.f64 x x))) (neg.f64 x)))
(.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) #s(literal -1 binary64)) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (*.f64 x x))) x))
(.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) #s(literal -1 binary64)) (.f64 (.f64 x x) x)) (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (*.f64 x x))) (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) #s(literal -1 binary64)) (.f64 (.f64 x x) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)) (/.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))
(.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x) (/.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x))
(.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (/.f64 (.f64 (/.f64 x y) x) (neg.f64 x)))
(*.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y))
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 x)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (/.f64 x (neg.f64 x)))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 (/.f64 (.f64 (/.f64 x y) x) y) x) x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (/.f64 y x) (*.f64 (/.f64 x y) x)))
(.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) #s(literal -1 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 (/.f64 y (.f64 x x)) y) #s(literal 1 binary64))) (/.f64 (/.f64 y x) (.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 y y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (fma.f64 (/.f64 x y) x x) (neg.f64 x)))
(.f64 (/.f64 (.f64 (/.f64 x y) x) (neg.f64 x)) (/.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)))
(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 x y) x x)) (sqrt.f64 (fma.f64 (/.f64 x y) x x))) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x))))
(.f64 (.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 x y) x x)) (sqrt.f64 (fma.f64 (/.f64 x y) x x))))
(.f64 (.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 y x)) (*.f64 (/.f64 x y) x))
(.f64 (.f64 (+.f64 x y) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (+.f64 x y) (-.f64 (.f64 (/.f64 x y) x) x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (/.f64 x y) x))))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (.f64 x x)) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (.f64 x x))))
(.f64 (neg.f64 (.f64 (+.f64 x y) x)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (/.f64 x y) y) (-.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (/.f64 x y) x x) (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 (+.f64 x y) x)))
(.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x y))))
(.f64 (neg.f64 (.f64 (.f64 (+.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 x x))))
(.f64 (.f64 (.f64 (+.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (/.f64 x y) x) x) x)))
(.f64 (.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) #s(literal -1 binary64)) (.f64 (.f64 x x) x)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (*.f64 x x)) (neg.f64 x))))
(.f64 (.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) #s(literal -1 binary64)) (.f64 (.f64 x x) x)) y) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (*.f64 x x)) x)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (neg.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (sqrt.f64 (/.f64 y x)) (.f64 (sqrt.f64 (fma.f64 (/.f64 x y) x x)) (sqrt.f64 (+.f64 x y))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 x y) x x)) (.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (+.f64 x y))))
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(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (-.f64 (.f64 (/.f64 x y) x) x))) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (/.f64 x y) x) x)))))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (-.f64 (.f64 (/.f64 x y) x) x))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (/.f64 x y) x) x)))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (.f64 x x))) (/.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (/.f64 x y) x) (-.f64 (.f64 (/.f64 x y) x) x) (*.f64 x x))))
(+.f64 (.f64 (/.f64 x y) x) (.f64 (/.f64 x y) y))
(+.f64 (*.f64 (/.f64 x y) x) x)
(+.f64 x (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 (/.f64 x y) (fabs.f64 x)) (/.f64 (.f64 x x) (fabs.f64 x)))
(.f64 (/.f64 (/.f64 x y) (neg.f64 x)) (/.f64 (.f64 x x) (neg.f64 x)))
(.f64 (/.f64 (/.f64 x y) x) (/.f64 (.f64 x x) x))
(.f64 (/.f64 (.f64 (/.f64 x y) x) (fabs.f64 x)) (/.f64 x (fabs.f64 x)))
(.f64 (/.f64 x (fabs.f64 x)) (/.f64 (.f64 (/.f64 x y) x) (fabs.f64 x)))
(.f64 (/.f64 (.f64 (/.f64 x y) x) (neg.f64 x)) (/.f64 x (neg.f64 x)))
(.f64 (/.f64 x (neg.f64 x)) (/.f64 (.f64 (/.f64 x y) x) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(.f64 (.f64 (.f64 (/.f64 x y) x) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (/.f64 x y) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 x y) (/.f64 (.f64 x x) (*.f64 x x)))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(.f64 x (/.f64 (.f64 (/.f64 x y) x) (*.f64 x x)))
(*.f64 x (/.f64 (/.f64 x y) x))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) x) (neg.f64 y))
(/.f64 (/.f64 (.f64 (.f64 (/.f64 x y) x) x) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (.f64 (.f64 (/.f64 x y) x) x) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (.f64 (.f64 (/.f64 x y) x) x) x) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (/.f64 (.f64 (.f64 (neg.f64 x) x) x) y) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 y) x))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (*.f64 (/.f64 x y) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (.f64 (.f64 (/.f64 x y) x) x) (*.f64 x x))
(/.f64 (.f64 x x) (.f64 y x))
(/.f64 (.f64 (.f64 x x) x) (.f64 y (.f64 x x)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) x) x)
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))
x
y
(.f64 (/.f64 x (.f64 (neg.f64 x) x)) (neg.f64 y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(.f64 (/.f64 y (.f64 x x)) x)
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 x) y) x)))
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(.f64 x (/.f64 y (.f64 x x)))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (/.f64 (neg.f64 x) y) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 y x) (.f64 x x))
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (neg.f64 x) (.f64 (.f64 (/.f64 (neg.f64 x) y) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (*.f64 (/.f64 (neg.f64 x) y) x))
(/.f64 (neg.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
(/.f64 x (*.f64 (/.f64 x y) x))
(neg.f64 (/.f64 (neg.f64 y) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))))

eval92.0ms (3.5%)

Memory: 20.7MiB live, 154.8MiB allocated; 34ms collecting garbage
Compiler: Compiled 8 228 to 2 419 computations (70.6% saved)

prune132.0ms (5.1%)

Memory

-28.9MiB live, 30.5MiB allocated; 173ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	669	0	669
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	669	5	674

Accuracy

100.0%

Counts

674 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x))))
✓	100.0%	(sqrt.f64 (+.f64 x y))
✓	77.8%	(sqrt.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 y x)))
✓	98.0%	(sqrt.f64 #s(approx (+ x y) y))
✓	3.5%	#s(approx (sqrt (+ x y)) (sqrt.f64 x))

Compiler

Compiled 66 to 59 computations (10.6% saved)

regimes11.0ms (0.4%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes6.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`(+.f64 x y)`
98.0%	1	`(sqrt.f64 (+.f64 x y))`
98.0%	1	`x`
98.0%	1	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes5.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
3.5%	1	`(+.f64 x y)`
3.5%	1	`(sqrt.f64 (+.f64 x y))`
3.5%	1	`x`
3.5%	1	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

derivations2.0ms (0.1%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 11 to 10 computations (9.1% saved)

preprocess43.0ms (1.7%)

Memory: -11.2MiB live, 38.3MiB allocated; 12ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 45 to 44 computations (2.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze77.0ms (2.9%)

sample990.0ms (37.9%)

preprocess78.0ms (3%)

series11.0ms (0.4%)

rewrite226.0ms (8.7%)

eval120.0ms (4.6%)

prune9.0ms (0.3%)

series112.0ms (4.3%)

rewrite85.0ms (3.2%)

eval68.0ms (2.6%)

prune11.0ms (0.4%)

series24.0ms (0.9%)

rewrite73.0ms (2.8%)

eval61.0ms (2.3%)

prune7.0ms (0.3%)

series27.0ms (1%)

rewrite344.0ms (13.2%)

eval92.0ms (3.5%)

prune132.0ms (5.1%)

regimes11.0ms (0.4%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

derivations2.0ms (0.1%)

preprocess43.0ms (1.7%)

end0.0ms (0%)

Profiling