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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample618.0ms (29.9%)

Memory

79.3MiB live, 753.0MiB allocated; 230ms collecting garbage

Samples

419.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-sqrt: 77.0ms (50.6% of total)

ival-fabs: 45.0ms (29.5% of total)

ival-sub!: 29.0ms (19% of total)

adjust: 2.0ms (1.3% of total)

Bogosity

preprocess192.0ms (9.3%)

Memory

-71.5MiB live, 53.5MiB allocated; 147ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	36
1	43	36
2	81	36
3	316	36
4	1783	36
5	4408	36
6	6977	36

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

series3.0ms (0.2%)

Memory

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

Counts

5 → 15

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y

Outputs
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (- x y)))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (- x y))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx x #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (neg (+ y (* -1 x)))))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (neg (+ y (* -1 x))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx y #s(hole binary64 y))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (+ x (* -1 y))))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (+ x (* -1 y)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))

Calls

6 calls:

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

rewrite169.0ms (8.2%)

Memory

32.8MiB live, 123.7MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	165
0	52	149
1	199	147
2	1479	130
0	9279	130

Stop Event

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

Counts

20 → 213

Calls

Call 1

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

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

eval22.0ms (1.1%)

Memory: -30.7MiB live, 19.5MiB allocated; 11ms collecting garbage
Compiler: Compiled 2 485 to 384 computations (84.5% saved)

prune3.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	113	5	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	5	119

Accuracy

100.0%

Counts

119 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.2%	(/.f64 (sqrt.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (sqrt.f64 (+.f64 y x)))
▶	100.0%	(sqrt.f64 (-.f64 y x))
▶	0.0%	(sqrt.f64 (-.f64 x y))
▶	86.5%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))))
▶	51.7%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))))

Compiler

Compiled 90 to 72 computations (20% saved)

series34.0ms (1.6%)

Memory

3.6MiB live, 46.7MiB allocated; 6ms collecting garbage

Counts

23 → 171

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	((sqrt (- y x)) (- y x) y x (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (neg y) (sqrt (- x y)) (- x y) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) 1 (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (sqrt (neg (* (+ y x) (- y x)))) (neg (* (+ y x) (- y x))) (* (+ y x) (- y x)) (+ y x) (sqrt (+ y x)))
7.0ms	y	@	inf	((sqrt (- y x)) (- y x) y x (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (neg y) (sqrt (- x y)) (- x y) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) 1 (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (sqrt (neg (* (+ y x) (- y x)))) (neg (* (+ y x) (- y x))) (* (+ y x) (- y x)) (+ y x) (sqrt (+ y x)))
5.0ms	x	@	inf	((sqrt (- y x)) (- y x) y x (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (neg y) (sqrt (- x y)) (- x y) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) 1 (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (sqrt (neg (* (+ y x) (- y x)))) (neg (* (+ y x) (- y x))) (* (+ y x) (- y x)) (+ y x) (sqrt (+ y x)))
4.0ms	x	@	0	((sqrt (- y x)) (- y x) y x (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (neg y) (sqrt (- x y)) (- x y) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) 1 (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (sqrt (neg (* (+ y x) (- y x)))) (neg (* (+ y x) (- y x))) (* (+ y x) (- y x)) (+ y x) (sqrt (+ y x)))
3.0ms	y	@	0	((sqrt (- y x)) (- y x) y x (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (neg y) (sqrt (- x y)) (- x y) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) 1 (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (sqrt (neg (* (+ y x) (- y x)))) (neg (* (+ y x) (- y x))) (* (+ y x) (- y x)) (+ y x) (sqrt (+ y x)))

rewrite215.0ms (10.4%)

Memory

32.7MiB live, 174.0MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	964	6567
0	987	5882
1	5825	5581
0	8227	5378

Stop Event

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

Counts

194 → 239

Calls

Call 1

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

Outputs
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (fma.f64 y y (fma.f64 x x (*.f64 y x))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 x y))
(-.f64 y x)
y
x
(pow.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal -1/2 binary64)))
(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y)))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(approx (fabs (- x y)) (neg.f64 y)) #s(approx (fabs (- x y)) (neg.f64 y))))
(fabs.f64 (neg.f64 #s(approx (fabs (- x y)) (neg.f64 y))))
(fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y)))
#s(approx (fabs (- x y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
(pow.f64 (-.f64 x y) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)))
(sqrt.f64 (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 x y))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (fma.f64 x x (fma.f64 y y (*.f64 x y))))
(-.f64 x y)
(pow.f64 (fabs.f64 #s(approx (fabs (- x y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 #s(approx (fabs (- x y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal -1/2 binary64)))
(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))))
(exp.f64 (.f64 (log.f64 (fabs.f64 #s(approx (fabs (- x y)) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(approx (fabs (- x y)) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #s(approx (fabs (- x y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))))
(fabs.f64 (neg.f64 #s(approx (fabs (- x y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))))
(fabs.f64 #s(approx (fabs (- x y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
#s(approx (fabs (- x y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) #s(literal 1 binary64)))))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
#s(literal 1 binary64)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x)))) (neg.f64 (sqrt.f64 (+.f64 x y))))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x))) (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (/.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x)) (+.f64 x y)))
(*.f64 (pow.f64 (neg.f64 (+.f64 x y)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y x)))
(*.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (neg.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x)) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x)))
(exp.f64 (.f64 (log.f64 (.f64 (neg.f64 (+.f64 x y)) (-.f64 y x))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x))
(*.f64 (+.f64 x y) (neg.f64 (-.f64 y x)))
(neg.f64 (*.f64 (+.f64 x y) (-.f64 y x)))
(*.f64 (+.f64 x y) (-.f64 y x))
(*.f64 (-.f64 y x) (+.f64 x y))
(-.f64 (.f64 y y) (.f64 x x))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 x y))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 y y (-.f64 (.f64 x x) (*.f64 y x))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (fma.f64 x x (-.f64 (.f64 y y) (*.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(+.f64 x y)
(+.f64 y x)
(pow.f64 (+.f64 x y) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)))
(sqrt.f64 (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1/2 binary64)))
#s(approx (sqrt (- y x)) (sqrt.f64 y))
#s(approx (sqrt (- y x)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64) (sqrt.f64 y)))
#s(approx (sqrt (- y x)) (fma.f64 (-.f64 (.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 y y))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x (sqrt.f64 y)))
#s(approx (sqrt (- y x)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y)))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x (sqrt.f64 y)))
#s(approx (- y x) y)
#s(approx (- y x) (+.f64 (neg.f64 x) y))
#s(approx x x)
#s(approx (sqrt (fabs (fabs (- x y)))) (sqrt.f64 (fabs.f64 (-.f64 y x))))
#s(approx (fabs (- x y)) (fabs.f64 (-.f64 y x)))
#s(approx (fabs (- x y)) (fabs.f64 (-.f64 y x)))
#s(approx (sqrt (- x y)) (sqrt.f64 (neg.f64 y)))
#s(approx (sqrt (- x y)) (fma.f64 (/.f64 x (sqrt.f64 (neg.f64 y))) #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 y))))
#s(approx (sqrt (- x y)) (fma.f64 (fma.f64 (/.f64 x (.f64 (.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 y)))) x (sqrt.f64 (neg.f64 y))))
#s(approx (sqrt (- x y)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 x (pow.f64 (neg.f64 y) #s(literal 5/2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y))))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 y)))) x (sqrt.f64 (neg.f64 y))))
#s(approx (- x y) (neg.f64 y))
#s(approx (- x y) (-.f64 x y))
#s(approx (* (- (/ x y) 1) y) (+.f64 (neg.f64 y) x))
#s(approx (- (/ x y) 1) #s(literal -1 binary64))
#s(approx (- (/ x y) 1) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
#s(approx (/ x y) (/.f64 x y))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (sqrt.f64 (/.f64 (neg.f64 (*.f64 y y)) y)))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 y (neg.f64 (.f64 y y))))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))))) x (sqrt.f64 (/.f64 (neg.f64 (.f64 y y)) y))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (fma.f64 (-.f64 (fma.f64 x (-.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/4 binary64)) (neg.f64 (.f64 y y)))) (sqrt.f64 (.f64 y (neg.f64 (.f64 y y))))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 y (neg.f64 (.f64 y y))))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))))) (.f64 (sqrt.f64 y) (sqrt.f64 y))) #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (pow.f64 y #s(literal 5/2 binary64))) #s(literal -1/8 binary64)))) (.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 y (neg.f64 (.f64 y y))))) #s(literal -1/2 binary64))) (.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))) #s(literal 1/2 binary64))) x (sqrt.f64 (/.f64 (neg.f64 (.f64 y y)) y))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 0 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/4 binary64)) (neg.f64 (.f64 y y)))) (.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (neg.f64 (.f64 y y))) (sqrt.f64 y)))) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 y (neg.f64 (.f64 y y))))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))))) (.f64 y y)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/4 binary64)) (neg.f64 (.f64 y y)))) (sqrt.f64 (.f64 y (neg.f64 (.f64 y y))))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 y (neg.f64 (.f64 y y))))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))))) (.f64 (sqrt.f64 y) (sqrt.f64 y))) #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (pow.f64 y #s(literal 5/2 binary64))) #s(literal -1/8 binary64)))) (.f64 (sqrt.f64 y) (sqrt.f64 y))) #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (pow.f64 y #s(literal 7/2 binary64))) #s(literal 1/16 binary64))))) x (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/4 binary64)) (neg.f64 (.f64 y y)))) (sqrt.f64 (.f64 y (neg.f64 (.f64 y y))))) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 y (neg.f64 (.f64 y y))))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))))) (.f64 (sqrt.f64 y) (sqrt.f64 y))) #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (pow.f64 y #s(literal 5/2 binary64))) #s(literal -1/8 binary64)))) x (.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 y (neg.f64 (.f64 y y))))) #s(literal -1/2 binary64))) (.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))) #s(literal 1/2 binary64))) x (sqrt.f64 (/.f64 (neg.f64 (*.f64 y y)) y))))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (sqrt.f64 (neg.f64 (*.f64 y y))))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) y) x) (sqrt.f64 (neg.f64 (.f64 y y)))) #s(literal -1/2 binary64) (sqrt.f64 (neg.f64 (.f64 y y)))))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (fma.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/4 binary64)) (neg.f64 (.f64 y y)))) x) (sqrt.f64 (neg.f64 (.f64 y y)))) #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)) (sqrt.f64 (neg.f64 (.f64 y y))))) x (sqrt.f64 (neg.f64 (.f64 y y)))))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (fma.f64 x (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/4 binary64)) (neg.f64 (.f64 y y)))) (.f64 #s(literal 0 binary64) y)) x) (.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (neg.f64 (.f64 y y)))) #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/4 binary64)) (neg.f64 (.f64 y y)))) (sqrt.f64 (neg.f64 (.f64 y y)))) #s(literal 1/2 binary64))) x (/.f64 (.f64 (.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)) (sqrt.f64 (neg.f64 (.f64 y y))))) (sqrt.f64 (neg.f64 (.f64 y y)))))
#s(approx (neg (* (+ y x) (- y x))) (neg.f64 (*.f64 y y)))
#s(approx (neg (* (+ y x) (- y x))) (-.f64 (.f64 (neg.f64 x) (.f64 #s(literal 0 binary64) y)) (*.f64 y y)))
#s(approx (neg (* (+ y x) (- y x))) (-.f64 (.f64 (-.f64 x (.f64 #s(literal 0 binary64) y)) x) (*.f64 y y)))
#s(approx (* (+ y x) (- y x)) (*.f64 y y))
#s(approx (* (+ y x) (- y x)) (fma.f64 (.f64 #s(literal 0 binary64) y) x (.f64 y y)))
#s(approx (* (+ y x) (- y x)) (fma.f64 (+.f64 (+.f64 (neg.f64 x) (neg.f64 y)) y) x (*.f64 y y)))
#s(approx (+ y x) (+.f64 x y))
#s(approx (sqrt (+ y x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)))
#s(approx (sqrt (+ y x)) (fma.f64 (fma.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x (sqrt.f64 y)))
#s(approx (sqrt (+ y x)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 y y)))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x (sqrt.f64 y)))
#s(approx (sqrt (- y x)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (sqrt (- y x)) (.f64 (fma.f64 (/.f64 y (.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) x))
#s(approx (sqrt (- y x)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (.f64 (/.f64 y (.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) x))
#s(approx (sqrt (- y x)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal 1/16 binary64) (.f64 (/.f64 y (.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) x))
#s(approx (- y x) (neg.f64 x))
#s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))
#s(approx (sqrt (- x y)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
#s(approx (sqrt (- x y)) (.f64 (fma.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (- x y)) (.f64 x (+.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (sqrt (- x y)) (.f64 (+.f64 (fma.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (- x y) (*.f64 (+.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) x))
#s(approx (- (/ x y) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (sqrt.f64 x))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (-.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/4 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) #s(literal -1/2 binary64) (sqrt.f64 x))) (.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/2 binary64) (-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/4 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) y) (fma.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/4 binary64) (.f64 y y))) (.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1/4 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) y) y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (.f64 (.f64 x x) x))) #s(literal -1/4 binary64) (.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (*.f64 x x))) #s(literal 1/2 binary64))))))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 0 binary64) (/.f64 y x) (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x))) #s(literal 1 binary64)) x))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 0 binary64) (/.f64 y x) (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x))) (.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) y) (fma.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/4 binary64) (.f64 y y))) (.f64 (*.f64 x x) x)) #s(literal -1/4 binary64))) #s(literal 1 binary64)) x))
#s(approx (neg (* (+ y x) (- y x))) (*.f64 x x))
#s(approx (neg (* (+ y x) (- y x))) (.f64 (+.f64 (neg.f64 (.f64 #s(literal 0 binary64) (/.f64 y x))) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (neg (* (+ y x) (- y x))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (neg.f64 (.f64 y y)) (.f64 x x)) (.f64 #s(literal 0 binary64) (/.f64 y x)))) (*.f64 x x)))
#s(approx (* (+ y x) (- y x)) (neg.f64 (*.f64 x x)))
#s(approx (* (+ y x) (- y x)) (.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (+ y x) (- y x)) (.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 y x) (/.f64 (.f64 y y) (.f64 x x))) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (+ y x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ y x)) (.f64 (fma.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ y x)) (.f64 x (+.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (sqrt (+ y x)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal 1/16 binary64) (.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (- y x)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (- y x)) (.f64 (neg.f64 x) (fma.f64 (/.f64 y (.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- y x)) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (.f64 (/.f64 y (.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- y x)) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal 1/16 binary64) (.f64 (/.f64 y (.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (- y x) (*.f64 (neg.f64 x) (+.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
#s(approx (sqrt (fabs (fabs (- x y)))) (sqrt.f64 (fabs.f64 (+.f64 (neg.f64 x) y))))
#s(approx (fabs (- x y)) (fabs.f64 (+.f64 (neg.f64 x) y)))
#s(approx (fabs (- x y)) (fabs.f64 (+.f64 (neg.f64 x) y)))
#s(approx (sqrt (- x y)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (- x y)) (.f64 (neg.f64 x) (fma.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (sqrt (- x y)) (neg.f64 (.f64 x (+.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (sqrt (- x y)) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (- x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))))
#s(approx (- (/ x y) 1) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/4 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x)))))) x))) x)) (sqrt.f64 x)))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (+.f64 (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/4 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (.f64 (.f64 #s(literal 0 binary64) y) (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/4 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 (.f64 (.f64 #s(literal 0 binary64) y) y) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x)))))) x))) (.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x)))) #s(literal 1/2 binary64))) x))) x))))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/4 binary64) (.f64 y y)) x) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64))) x)) #s(literal 1 binary64))))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 0 binary64) y) (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/4 binary64) (.f64 y y)) x)) #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1/2 binary64))) x))) x)))))
#s(approx (neg (* (+ y x) (- y x))) (.f64 (fma.f64 #s(literal 0 binary64) (/.f64 y x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (neg (* (+ y x) (- y x))) (.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 y y) x) (.f64 #s(literal 0 binary64) y)) x)) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (* (+ y x) (- y x)) (.f64 (-.f64 (neg.f64 (.f64 #s(literal 0 binary64) (/.f64 y x))) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (+ y x) (- y x)) (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 (neg.f64 (.f64 y y)) x)) x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ y x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
#s(approx (sqrt (+ y x)) (.f64 (neg.f64 x) (fma.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (sqrt (+ y x)) (neg.f64 (.f64 x (+.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (sqrt (+ y x)) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal 1/16 binary64) (.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (sqrt (- y x)) (sqrt.f64 (neg.f64 x)))
#s(approx (sqrt (- y x)) (fma.f64 (/.f64 y (sqrt.f64 (neg.f64 x))) #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 x))))
#s(approx (sqrt (- y x)) (fma.f64 (fma.f64 (/.f64 y (.f64 (.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 x)))) y (sqrt.f64 (neg.f64 x))))
#s(approx (sqrt (- y x)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 y (pow.f64 (neg.f64 x) #s(literal 5/2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))))) y (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 x)))) y (sqrt.f64 (neg.f64 x))))
#s(approx (- y x) (-.f64 y x))
#s(approx (sqrt (- x y)) (sqrt.f64 x))
#s(approx (sqrt (- x y)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(approx (sqrt (- x y)) (fma.f64 (-.f64 (.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) y (sqrt.f64 x)))
#s(approx (sqrt (- x y)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (/.f64 y (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x)))) y) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) y (sqrt.f64 x)))
#s(approx (- (/ x y) 1) (/.f64 (+.f64 (neg.f64 y) x) y))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (sqrt.f64 (/.f64 (neg.f64 (neg.f64 (*.f64 x x))) x)))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (sqrt.f64 (.f64 x (neg.f64 (neg.f64 (.f64 x x)))))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))))) y (sqrt.f64 (/.f64 (neg.f64 (neg.f64 (.f64 x x))) x))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (neg.f64 (neg.f64 (.f64 x x)))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (sqrt.f64 (.f64 x (neg.f64 (neg.f64 (.f64 x x)))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (sqrt.f64 (.f64 x (neg.f64 (neg.f64 (.f64 x x)))))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1/8 binary64)))) y (.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (sqrt.f64 (.f64 x (neg.f64 (neg.f64 (.f64 x x)))))) #s(literal -1/2 binary64))) (.f64 (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) #s(literal 1/2 binary64))) y (sqrt.f64 (/.f64 (neg.f64 (neg.f64 (*.f64 x x))) x))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (sqrt.f64 (.f64 x (neg.f64 (neg.f64 (.f64 x x)))))) #s(literal -1/2 binary64) (-.f64 (.f64 (-.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (neg.f64 (neg.f64 (.f64 x x)))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 0 binary64) x) (.f64 (.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (neg.f64 (neg.f64 (.f64 x x)))) (sqrt.f64 x)))) #s(literal -1/4 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (sqrt.f64 (.f64 x (neg.f64 (neg.f64 (.f64 x x)))))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))))) (.f64 x x)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (neg.f64 (neg.f64 (.f64 x x)))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (sqrt.f64 (.f64 x (neg.f64 (neg.f64 (.f64 x x)))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (sqrt.f64 (.f64 x (neg.f64 (neg.f64 (.f64 x x)))))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1/8 binary64)))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (pow.f64 x #s(literal 7/2 binary64))) #s(literal 1/16 binary64))))) y (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (neg.f64 (neg.f64 (.f64 x x)))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (sqrt.f64 (.f64 x (neg.f64 (neg.f64 (.f64 x x))))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (sqrt.f64 (.f64 x (neg.f64 (neg.f64 (.f64 x x)))))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1/8 binary64)))) y) (.f64 (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) #s(literal 1/2 binary64)))) y (sqrt.f64 (/.f64 (neg.f64 (neg.f64 (.f64 x x))) x))))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (sqrt.f64 (neg.f64 (neg.f64 (*.f64 x x)))))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) y) (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x))))) #s(literal -1/2 binary64) (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x))))))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 y (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (neg.f64 (neg.f64 (.f64 x x)))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x))))) (/.f64 (.f64 #s(literal 0 binary64) x) (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x))))))) y (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x))))))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (fma.f64 y (fma.f64 y (fma.f64 (/.f64 (.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (neg.f64 (neg.f64 (.f64 x x)))) #s(literal 1/4 binary64) #s(literal 1 binary64)) y) (.f64 #s(literal 0 binary64) x)) (.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (neg.f64 (neg.f64 (.f64 x x))))) #s(literal -1/4 binary64) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (neg.f64 (neg.f64 (.f64 x x)))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x))))) #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 0 binary64) x)) (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))))) (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x))))))
#s(approx (neg (* (+ y x) (- y x))) (-.f64 (.f64 (neg.f64 y) (.f64 #s(literal 0 binary64) x)) (neg.f64 (*.f64 x x))))
#s(approx (neg (* (+ y x) (- y x))) (-.f64 (.f64 (-.f64 (neg.f64 y) (.f64 #s(literal 0 binary64) x)) y) (neg.f64 (*.f64 x x))))
#s(approx (* (+ y x) (- y x)) (fma.f64 (.f64 #s(literal 0 binary64) x) y (neg.f64 (.f64 x x))))
#s(approx (* (+ y x) (- y x)) (fma.f64 (+.f64 (+.f64 x y) (neg.f64 x)) y (neg.f64 (*.f64 x x))))
#s(approx (sqrt (+ y x)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (sqrt (+ y x)) (fma.f64 (fma.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) y (sqrt.f64 x)))
#s(approx (sqrt (+ y x)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 y (pow.f64 x #s(literal 5/2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x)))) y (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) y (sqrt.f64 x)))
#s(approx (sqrt (- y x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) y))
#s(approx (sqrt (- y x)) (.f64 (fma.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 y y))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y))
#s(approx (sqrt (- y x)) (.f64 y (+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))))) #s(literal -1/8 binary64) (.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 y y))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
#s(approx (sqrt (- y x)) (.f64 (+.f64 (fma.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 5/2 binary64)))) #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 y y))))) #s(literal -1/8 binary64)))) y))
#s(approx (- y x) (*.f64 (+.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) y))
#s(approx (sqrt (- x y)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) y))
#s(approx (sqrt (- x y)) (.f64 (fma.f64 (/.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 y y))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))) y))
#s(approx (sqrt (- x y)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (.f64 y y)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (.f64 (/.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 y y))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))) y))
#s(approx (sqrt (- x y)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (.f64 y y)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (.f64 (/.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 y y))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))) y))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))) y)) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (-.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))) y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (neg.f64 (.f64 x x))) (.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))) (.f64 y y))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))) (*.f64 y y))) #s(literal 1/2 binary64))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (-.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))) y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (neg.f64 (.f64 x x))) (.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))) (.f64 y y))) #s(literal -1/2 binary64) (fma.f64 (.f64 (.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (neg.f64 (.f64 x x))) (.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (neg.f64 (.f64 y y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) x) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y)))) (.f64 (.f64 y y) y))) #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))) (.f64 y y))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) y))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) y)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) y))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (neg.f64 (.f64 x x))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 y y)))) (sqrt.f64 #s(literal -1 binary64))) y))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (neg.f64 (.f64 x x))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 y y)))) (.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (neg.f64 (.f64 x x))) (.f64 #s(literal 0 binary64) x)) (.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (neg.f64 (*.f64 y y)))) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1 binary64))) y))
#s(approx (neg (* (+ y x) (- y x))) (.f64 (-.f64 (neg.f64 (.f64 #s(literal 0 binary64) (/.f64 x y))) #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (neg (* (+ y x) (- y x))) (.f64 (-.f64 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 #s(literal 0 binary64) (/.f64 x y) #s(literal 1 binary64))) (.f64 y y)))
#s(approx (* (+ y x) (- y x)) (.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x y) #s(literal 1 binary64)) (.f64 y y)))
#s(approx (* (+ y x) (- y x)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (.f64 x x)) (.f64 y y))) (/.f64 x y)) #s(literal 1 binary64)) (.f64 y y)))
#s(approx (+ y x) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (sqrt (+ y x)) (.f64 (fma.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 y y))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y))
#s(approx (sqrt (+ y x)) (.f64 y (+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))))) #s(literal -1/8 binary64) (.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 y y))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
#s(approx (sqrt (+ y x)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 y y))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y))
#s(approx (sqrt (- y x)) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
#s(approx (sqrt (- y x)) (.f64 (neg.f64 y) (fma.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 y y))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
#s(approx (sqrt (- y x)) (neg.f64 (.f64 y (+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))))) #s(literal -1/8 binary64) (.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 y y))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))))
#s(approx (sqrt (- y x)) (.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 5/2 binary64)))) #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 y y))))) #s(literal -1/8 binary64))))))
#s(approx (- y x) (*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal 1 binary64))))
#s(approx (sqrt (fabs (fabs (- x y)))) (sqrt.f64 (fabs.f64 (+.f64 (neg.f64 y) x))))
#s(approx (fabs (- x y)) (fabs.f64 (+.f64 (neg.f64 y) x)))
#s(approx (fabs (- x y)) (fabs.f64 (+.f64 (neg.f64 y) x)))
#s(approx (sqrt (- x y)) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))
#s(approx (sqrt (- x y)) (.f64 (neg.f64 y) (fma.f64 (/.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 y y))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))
#s(approx (sqrt (- x y)) (.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (.f64 y y)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (.f64 (/.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 y y))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))
#s(approx (sqrt (- x y)) (.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (.f64 y y)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (.f64 (/.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 y y))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))
#s(approx (- x y) (*.f64 (neg.f64 y) (+.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (neg.f64 (.f64 x x))) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y)))))) y))) y)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (neg.f64 (.f64 x x))) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (neg.f64 (.f64 x x))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))))))) y))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 y y)))) #s(literal 1/2 binary64))) y))) y)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (.f64 (neg.f64 y) (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) y)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (neg.f64 (.f64 x x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) y)))) y)) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (neg (* (+ y x) (- y x)))) (.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (neg.f64 (.f64 x x))) (.f64 #s(literal 0 binary64) x)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) y)) #s(literal -1/4 binary64) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) y))) y)) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (neg (* (+ y x) (- y x))) (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (.f64 x x)) y) (neg.f64 (.f64 #s(literal 0 binary64) x))) y)) #s(literal 1 binary64)) (.f64 y y)))
#s(approx (* (+ y x) (- y x)) (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 #s(literal 0 binary64) x)) (/.f64 (.f64 x x) y)) y)) #s(literal 1 binary64)) (.f64 y y)))
#s(approx (+ y x) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))
#s(approx (sqrt (+ y x)) (.f64 (neg.f64 y) (fma.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 y y))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
#s(approx (sqrt (+ y x)) (neg.f64 (.f64 y (+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))))) #s(literal -1/8 binary64) (.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 y y))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))))
#s(approx (sqrt (+ y x)) (.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 y y))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))

eval24.0ms (1.2%)

Memory: 0.7MiB live, 43.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 7 748 to 1 245 computations (83.9% saved)

prune9.0ms (0.4%)

Memory

-31.0MiB live, 15.6MiB allocated; 3ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	225	6	231
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	227	9	236

Accuracy

100.0%

Counts

236 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	0.2%	(/.f64 (sqrt.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (sqrt.f64 (+.f64 y x)))
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	0.0%	(sqrt.f64 (-.f64 x y))
▶	50.8%	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
▶	50.1%	(sqrt.f64 #s(approx (- y x) y))
	0.0%	(sqrt.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
▶	1.6%	(sqrt.f64 #s(approx (- x y) (neg.f64 y)))
▶	1.7%	#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (sqrt.f64 x))
▶	1.7%	#s(approx (sqrt (- x y)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))

Compiler

Compiled 142 to 109 computations (23.2% saved)

series9.0ms (0.4%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Counts

16 → 90

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((sqrt (- y x)) (- y x) (neg x) x (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (sqrt x) (sqrt (- y x)) (- y x) y (sqrt (- x y)) (- x y) (neg y) (sqrt (- x y)) (* (/ 1 (sqrt x)) x) (/ 1 (sqrt x)) 1)
1.0ms	x	@	inf	((sqrt (- y x)) (- y x) (neg x) x (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (sqrt x) (sqrt (- y x)) (- y x) y (sqrt (- x y)) (- x y) (neg y) (sqrt (- x y)) (* (/ 1 (sqrt x)) x) (/ 1 (sqrt x)) 1)
1.0ms	x	@	0	((sqrt (- y x)) (- y x) (neg x) x (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (sqrt x) (sqrt (- y x)) (- y x) y (sqrt (- x y)) (- x y) (neg y) (sqrt (- x y)) (* (/ 1 (sqrt x)) x) (/ 1 (sqrt x)) 1)
1.0ms	y	@	-inf	((sqrt (- y x)) (- y x) (neg x) x (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (sqrt x) (sqrt (- y x)) (- y x) y (sqrt (- x y)) (- x y) (neg y) (sqrt (- x y)) (* (/ 1 (sqrt x)) x) (/ 1 (sqrt x)) 1)
1.0ms	y	@	inf	((sqrt (- y x)) (- y x) (neg x) x (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (sqrt x) (sqrt (- y x)) (- y x) y (sqrt (- x y)) (- x y) (neg y) (sqrt (- x y)) (* (/ 1 (sqrt x)) x) (/ 1 (sqrt x)) 1)

rewrite139.0ms (6.7%)

Memory

0.1MiB live, 101.9MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	594	3925
0	605	3537
0	3485	3418

Stop Event

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

Counts

106 → 120

Calls

Call 1

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

Outputs
(pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
x
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (sqrt.f64 x))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(pow.f64 #s(approx (- y x) y) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- y x) y))
#s(approx (- y x) y)
y
(pow.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
#s(approx (sqrt (- x y)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)
(*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
#s(approx (sqrt (- y x)) (sqrt.f64 y))
#s(approx (sqrt (- y x)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64) (sqrt.f64 y)))
#s(approx (sqrt (- y x)) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (sqrt.f64 y))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x (sqrt.f64 y)))
#s(approx (sqrt (- y x)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (sqrt.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x (sqrt.f64 y)))
#s(approx (- y x) y)
#s(approx (- y x) (+.f64 (neg.f64 x) y))
#s(approx (neg x) (neg.f64 x))
#s(approx x x)
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (sqrt.f64 (/.f64 (neg.f64 (*.f64 y y)) y)))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 y (neg.f64 (.f64 y y))))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (.f64 (.f64 (sqrt.f64 y) (sqrt.f64 y)) (sqrt.f64 y))))) x (sqrt.f64 (/.f64 (neg.f64 (.f64 y y)) y))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) y) (.f64 #s(literal 0 binary64) y)) (.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (sqrt.f64 (neg.f64 (.f64 y y))))) #s(literal 1/4 binary64))) (sqrt.f64 (.f64 y (neg.f64 (.f64 y y))))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 y (neg.f64 (.f64 y y))))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (.f64 (.f64 (sqrt.f64 y) (sqrt.f64 y)) (sqrt.f64 y))))) (.f64 (sqrt.f64 y) (sqrt.f64 y))) #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (pow.f64 y #s(literal 5/2 binary64))) #s(literal -1/8 binary64)))) x (.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 y (neg.f64 (.f64 y y))))) #s(literal -1/2 binary64))) (.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (.f64 (.f64 (sqrt.f64 y) (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 1/2 binary64))) x (sqrt.f64 (/.f64 (neg.f64 (*.f64 y y)) y))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) y) (.f64 #s(literal 0 binary64) y)) (.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (sqrt.f64 (neg.f64 (.f64 y y))))) #s(literal 1/4 binary64))) (.f64 #s(literal 0 binary64) y)) (.f64 (pow.f64 (neg.f64 (.f64 y y)) #s(literal 3/2 binary64)) (sqrt.f64 y))) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 y (neg.f64 (.f64 y y))))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (.f64 (.f64 (sqrt.f64 y) (sqrt.f64 y)) (sqrt.f64 y))))) (.f64 y y)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) y) (.f64 #s(literal 0 binary64) y)) (.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (sqrt.f64 (neg.f64 (.f64 y y))))) #s(literal 1/4 binary64))) (sqrt.f64 (.f64 y (neg.f64 (.f64 y y))))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 y (neg.f64 (.f64 y y))))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (.f64 (.f64 (sqrt.f64 y) (sqrt.f64 y)) (sqrt.f64 y))))) (.f64 (sqrt.f64 y) (sqrt.f64 y))) #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (pow.f64 y #s(literal 5/2 binary64))) #s(literal -1/8 binary64)))) (.f64 (sqrt.f64 y) (sqrt.f64 y))) #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (pow.f64 y #s(literal 7/2 binary64))) #s(literal 1/16 binary64))))) x (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) y) (.f64 #s(literal 0 binary64) y)) (.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (sqrt.f64 (neg.f64 (.f64 y y))))) #s(literal 1/4 binary64))) (sqrt.f64 (.f64 y (neg.f64 (.f64 y y))))) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 y (neg.f64 (.f64 y y))))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (.f64 (.f64 (sqrt.f64 y) (sqrt.f64 y)) (sqrt.f64 y))))) (.f64 (sqrt.f64 y) (sqrt.f64 y))) #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (pow.f64 y #s(literal 5/2 binary64))) #s(literal -1/8 binary64)))) x (.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 y (neg.f64 (.f64 y y))))) #s(literal -1/2 binary64))) (.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 y y))) (.f64 (.f64 (sqrt.f64 y) (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 1/2 binary64))) x (sqrt.f64 (/.f64 (neg.f64 (.f64 y y)) y))))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (sqrt (- x y)) (sqrt.f64 (neg.f64 y)))
#s(approx (sqrt (- x y)) (fma.f64 (/.f64 x (sqrt.f64 (neg.f64 y))) #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 y))))
#s(approx (sqrt (- x y)) (fma.f64 (fma.f64 (/.f64 x (.f64 (.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 y)))) x (sqrt.f64 (neg.f64 y))))
#s(approx (sqrt (- x y)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 x (pow.f64 (neg.f64 y) #s(literal 5/2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y))))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 y)))) x (sqrt.f64 (neg.f64 y))))
#s(approx (- x y) (neg.f64 y))
#s(approx (- x y) (-.f64 x y))
#s(approx (* (/ 1 (sqrt x)) x) (/.f64 x (sqrt.f64 x)))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (sqrt (- y x)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (sqrt (- y x)) (.f64 (fma.f64 (/.f64 y (.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) x))
#s(approx (sqrt (- y x)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (.f64 (/.f64 y (.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) x))
#s(approx (sqrt (- y x)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal 1/16 binary64) (.f64 (/.f64 y (.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) x))
#s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (-.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 0 binary64) y) (.f64 #s(literal 0 binary64) y)) #s(literal 1/4 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (*.f64 x x)))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (-.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 0 binary64) y) (.f64 #s(literal 0 binary64) y)) #s(literal 1/4 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 0 binary64) y) (.f64 #s(literal 0 binary64) y)) #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 0 binary64) y)) (.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) y) y) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (*.f64 x x))))))
#s(approx (sqrt x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
#s(approx (sqrt (- x y)) (.f64 (fma.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (- x y)) (.f64 (+.f64 (fma.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (.f64 (.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt (- x y)) (.f64 (+.f64 (fma.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (.f64 (.f64 x x) (*.f64 x x)))))) x))
#s(approx (- x y) (*.f64 (+.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
#s(approx (sqrt (- y x)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (- y x)) (.f64 (neg.f64 x) (fma.f64 (/.f64 y (.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- y x)) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (.f64 (/.f64 y (.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- y x)) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal 1/16 binary64) (.f64 (/.f64 y (.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (- y x) (*.f64 (neg.f64 x) (+.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 0 binary64) y) (.f64 #s(literal 0 binary64) y)) #s(literal 1/4 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) x))) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 0 binary64) y) (.f64 #s(literal 0 binary64) y)) #s(literal 1/4 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (-.f64 (.f64 (.f64 #s(literal 0 binary64) y) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 0 binary64) y) (.f64 #s(literal 0 binary64) y)) #s(literal 1/4 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 (.f64 (.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) x))) (*.f64 (/.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) x))) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (sqrt x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (- x y)) (.f64 (neg.f64 x) (fma.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (sqrt (- x y)) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (.f64 (.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt (- x y)) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (.f64 (.f64 x x) (*.f64 x x))))))))
#s(approx (- x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))))
#s(approx (* (/ 1 (sqrt x)) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
#s(approx (sqrt (- y x)) (sqrt.f64 (neg.f64 x)))
#s(approx (sqrt (- y x)) (fma.f64 (/.f64 y (sqrt.f64 (neg.f64 x))) #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 x))))
#s(approx (sqrt (- y x)) (fma.f64 (fma.f64 (/.f64 y (.f64 (.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 x)))) y (sqrt.f64 (neg.f64 x))))
#s(approx (sqrt (- y x)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 y (pow.f64 (neg.f64 x) #s(literal 5/2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))))) y (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 x)))) y (sqrt.f64 (neg.f64 x))))
#s(approx (- y x) (-.f64 y x))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (sqrt.f64 (/.f64 (neg.f64 (neg.f64 (*.f64 x x))) x)))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (sqrt.f64 (.f64 x (neg.f64 (neg.f64 (.f64 x x)))))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) y (sqrt.f64 (/.f64 (neg.f64 (neg.f64 (.f64 x x))) x))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 0 binary64) x)) (.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (.f64 x (neg.f64 (neg.f64 (.f64 x x)))))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (sqrt.f64 (.f64 x (neg.f64 (neg.f64 (.f64 x x)))))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1/8 binary64)))) y (.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (sqrt.f64 (.f64 x (neg.f64 (neg.f64 (.f64 x x)))))) #s(literal -1/2 binary64))) (.f64 (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 1/2 binary64))) y (sqrt.f64 (/.f64 (neg.f64 (neg.f64 (.f64 x x))) x))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 0 binary64) x)) (.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 0 binary64) x) (.f64 (pow.f64 (neg.f64 (neg.f64 (.f64 x x))) #s(literal 3/2 binary64)) (sqrt.f64 x)))) #s(literal -1/4 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (sqrt.f64 (.f64 x (neg.f64 (neg.f64 (.f64 x x)))))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (.f64 x x)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 0 binary64) x)) (.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (.f64 x (neg.f64 (neg.f64 (.f64 x x)))))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (sqrt.f64 (.f64 x (neg.f64 (neg.f64 (.f64 x x)))))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1/8 binary64)))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (pow.f64 x #s(literal 7/2 binary64))) #s(literal 1/16 binary64))))) y (.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 0 binary64) x)) (.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (.f64 x (neg.f64 (neg.f64 (.f64 x x)))))) #s(literal -1/2 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (sqrt.f64 (.f64 x (neg.f64 (neg.f64 (.f64 x x)))))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1/8 binary64)))) y (.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (sqrt.f64 (.f64 x (neg.f64 (neg.f64 (.f64 x x)))))) #s(literal -1/2 binary64))) (.f64 (/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 x x)))) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 1/2 binary64))) y (sqrt.f64 (/.f64 (neg.f64 (neg.f64 (*.f64 x x))) x))))
#s(approx (sqrt (- x y)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(approx (sqrt (- x y)) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) y) (.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) y (sqrt.f64 x)))
#s(approx (sqrt (- x y)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (/.f64 y (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 x)))) y) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) y (sqrt.f64 x)))
#s(approx (- x y) (+.f64 (neg.f64 y) x))
#s(approx (sqrt (- y x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) y))
#s(approx (sqrt (- y x)) (.f64 (fma.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 y y))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y))
#s(approx (sqrt (- y x)) (.f64 (+.f64 (fma.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (.f64 (.f64 y y) (*.f64 y y))))) y))
#s(approx (sqrt (- y x)) (.f64 (+.f64 (fma.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (.f64 (.f64 y y) (*.f64 y y)))))) y))
#s(approx (- y x) (*.f64 (+.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) y))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))) y)) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))) y)) #s(literal -1/2 binary64) (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (neg.f64 (.f64 x x))) (.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))) (.f64 y y))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (.f64 y y))) #s(literal 1/2 binary64)))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (-.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))) y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (neg.f64 (.f64 x x))) (.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))) (.f64 y y))) #s(literal -1/2 binary64) (fma.f64 (.f64 (.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (neg.f64 (.f64 x x))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (.f64 (.f64 y y) y)))) #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) x) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64))) (.f64 (.f64 y y) y))) #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (*.f64 y y))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- x y)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) y))
#s(approx (sqrt (- x y)) (.f64 (fma.f64 (/.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 y y))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))) y))
#s(approx (sqrt (- x y)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3/2 binary64)) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/8 binary64) (.f64 (/.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 y y))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))) y))
#s(approx (sqrt (- x y)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3/2 binary64)) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) #s(literal 1/16 binary64) (.f64 (/.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 y y))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))) y))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (sqrt (- y x)) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
#s(approx (sqrt (- y x)) (.f64 (neg.f64 y) (fma.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 y y))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
#s(approx (sqrt (- y x)) (.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (.f64 (.f64 y y) (*.f64 y y)))))))
#s(approx (sqrt (- y x)) (.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) (.f64 (.f64 y y) (*.f64 y y))))))))
#s(approx (- y x) (*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal 1 binary64))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (neg.f64 (.f64 x x))) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64))))) y))) y)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) x) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (neg.f64 (.f64 x x))) (sqrt.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (neg.f64 (.f64 x x))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (/.f64 (.f64 (.f64 #s(literal 0 binary64) x) x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)))))) y))) (.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) y))) y)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (- x y)) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))
#s(approx (sqrt (- x y)) (.f64 (neg.f64 y) (fma.f64 (/.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 y y))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))
#s(approx (sqrt (- x y)) (.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3/2 binary64)) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/8 binary64) (.f64 (/.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 y y))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))
#s(approx (sqrt (- x y)) (.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3/2 binary64)) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) #s(literal 1/16 binary64) (.f64 (/.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 y y))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))
#s(approx (- x y) (*.f64 (neg.f64 y) (+.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))

eval10.0ms (0.5%)

Memory: 12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 040 to 601 computations (85.1% saved)

prune4.0ms (0.2%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	1	1
Picked	1	4	5
Done	0	3	3
Total	107	9	116

Accuracy

100.0%

Counts

116 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	0.2%	(/.f64 (sqrt.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (sqrt.f64 (+.f64 y x)))
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	0.0%	(sqrt.f64 (-.f64 x y))
✓	50.8%	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
✓	50.1%	(sqrt.f64 #s(approx (- y x) y))
▶	0.0%	(sqrt.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
✓	1.6%	(sqrt.f64 #s(approx (- x y) (neg.f64 y)))
✓	1.7%	#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (sqrt.f64 x))
▶	1.7%	#s(approx (sqrt (- x y)) #s(approx (* (/ 1 (sqrt x)) x) (/.f64 x (sqrt.f64 x))))

Compiler

Compiled 87 to 66 computations (24.1% saved)

series26.0ms (1.3%)

Memory

-39.9MiB live, 6.4MiB allocated; 4ms collecting garbage

Counts

12 → 42

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	y	@	-inf	((sqrt (- x y)) (* (/ 1 (sqrt x)) x) (/ x (sqrt x)) x (sqrt x) (sqrt (- x y)) (- x y) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) y 1)
1.0ms	x	@	-inf	((sqrt (- x y)) (* (/ 1 (sqrt x)) x) (/ x (sqrt x)) x (sqrt x) (sqrt (- x y)) (- x y) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) y 1)
1.0ms	x	@	inf	((sqrt (- x y)) (* (/ 1 (sqrt x)) x) (/ x (sqrt x)) x (sqrt x) (sqrt (- x y)) (- x y) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) y 1)
1.0ms	x	@	0	((sqrt (- x y)) (* (/ 1 (sqrt x)) x) (/ x (sqrt x)) x (sqrt x) (sqrt (- x y)) (- x y) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) y 1)
1.0ms	y	@	inf	((sqrt (- x y)) (* (/ 1 (sqrt x)) x) (/ x (sqrt x)) x (sqrt x) (sqrt (- x y)) (- x y) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) y 1)

rewrite190.0ms (9.2%)

Memory

20.3MiB live, 207.3MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	990
0	211	944
1	978	888
0	8512	860

Stop Event

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

Counts

54 → 109

Calls

Call 1

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

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

eval7.0ms (0.4%)

Memory: 16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 035 to 475 computations (76.7% saved)

prune5.0ms (0.2%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	94	9	103

Accuracy

100.0%

Counts

103 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	0.2%	(/.f64 (sqrt.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (sqrt.f64 (+.f64 y x)))
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	0.0%	(sqrt.f64 (-.f64 x y))
✓	50.8%	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
✓	50.1%	(sqrt.f64 #s(approx (- y x) y))
✓	0.0%	(sqrt.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
✓	1.6%	(sqrt.f64 #s(approx (- x y) (neg.f64 y)))
✓	1.7%	#s(approx (/ (sqrt (neg (* (+ y x) (- y x)))) (sqrt (+ y x))) (sqrt.f64 x))
✓	1.7%	#s(approx (sqrt (- x y)) #s(approx (* (/ 1 (sqrt x)) x) (/.f64 x (sqrt.f64 x))))

Compiler

Compiled 213 to 122 computations (42.7% saved)

regimes25.0ms (1.2%)

Memory

-16.9MiB live, 28.7MiB allocated; 7ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	y
4.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
4.0ms	(fabs.f64 (-.f64 x y))
4.0ms	x
4.0ms	(-.f64 x y)

Results

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

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes12.0ms (0.6%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))))

Calls

5 calls:

2.0ms	(fabs.f64 (-.f64 x y))
2.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms	(-.f64 x y)
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
61.5%	4	`(-.f64 x y)`
61.5%	4	`(fabs.f64 (-.f64 x y))`
61.5%	4	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
85.1%	2	`x`
82.6%	2	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes2.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
84.8%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.4%)

Memory

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

Counts

3 → 2

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms	(fabs.f64 (-.f64 x y))
2.0ms	(-.f64 x y)
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
50.1%	1	`(-.f64 x y)`
50.1%	1	`(fabs.f64 (-.f64 x y))`
50.1%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
51.7%	2	`y`
50.1%	1	`x`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes11.0ms (0.5%)

Memory

-40.1MiB live, 7.0MiB allocated; 2ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	y
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	(fabs.f64 (-.f64 x y))

Results

Accuracy	Segments	Branch
50.1%	1	`(fabs.f64 (-.f64 x y))`
50.1%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
50.1%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.3%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	y
1.0ms	(fabs.f64 (-.f64 x y))
1.0ms	(-.f64 x y)
1.0ms	x

Results

Accuracy	Segments	Branch
1.7%	1	`(-.f64 x y)`
1.7%	1	`x`
1.7%	1	`y`
1.7%	1	`(fabs.f64 (-.f64 x y))`
1.7%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch7.0ms (0.4%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-1.6613716763802633e-97	-1.0510456616670241e-98

Samples

3.0ms

96×

valid

Compiler

Compiled 104 to 106 computations (-1.9% saved)

Precisions

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

ival-fabs: 1.0ms (69.8% of total)

ival-sqrt: 1.0ms (69.8% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-1.6613716763802633e-97	-1.0510456616670241e-98

Compiler

Compiled 86 to 88 computations (-2.3% saved)

bsearch10.0ms (0.5%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-5.507777766074819e-308	1.4279379979904079e-303

Samples

5.0ms

144×

valid

Compiler

Compiled 125 to 127 computations (-1.6% saved)

Precisions

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

ival-fabs: 1.0ms (47% of total)

ival-sqrt: 1.0ms (47% of total)

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

adjust: 0.0ms (0% of total)

derivations254.0ms (12.3%)

Memory

-3.7MiB live, 182.5MiB allocated; 23ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 81 to 33 computations (59.3% saved)

preprocess49.0ms (2.4%)

Memory: -15.6MiB live, 85.8MiB allocated; 13ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 248 to 154 computations (37.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample618.0ms (29.9%)

preprocess192.0ms (9.3%)

series3.0ms (0.2%)

rewrite169.0ms (8.2%)

eval22.0ms (1.1%)

prune3.0ms (0.2%)

series34.0ms (1.6%)

rewrite215.0ms (10.4%)

eval24.0ms (1.2%)

prune9.0ms (0.4%)

series9.0ms (0.4%)

rewrite139.0ms (6.7%)

eval10.0ms (0.5%)

prune4.0ms (0.2%)

series26.0ms (1.3%)

rewrite190.0ms (9.2%)

eval7.0ms (0.4%)

prune5.0ms (0.2%)

regimes25.0ms (1.2%)

regimes12.0ms (0.6%)

regimes2.0ms (0.1%)

regimes8.0ms (0.4%)

regimes11.0ms (0.5%)

regimes5.0ms (0.3%)

bsearch7.0ms (0.4%)

bsearch1.0ms (0%)

bsearch10.0ms (0.5%)

derivations254.0ms (12.3%)

preprocess49.0ms (2.4%)

end0.0ms (0%)

Profiling