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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample684.0ms (31.3%)

Memory

-20.0MiB live, 888.2MiB allocated; 222ms collecting garbage

Samples

386.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-sqrt: 60.0ms (42% of total)

ival-fabs: 49.0ms (34.3% of total)

ival-sub!: 32.0ms (22.4% of total)

adjust: 1.0ms (0.7% of total)

Bogosity

preprocess80.0ms (3.7%)

Memory

0.4MiB live, 46.7MiB allocated; 4ms 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

4.9MiB live, 4.9MiB 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)

rewrite160.0ms (7.3%)

Memory

9.0MiB live, 245.0MiB allocated; 53ms 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))

eval9.0ms (0.4%)

Memory: 27.7MiB live, 27.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 280 to 384 computations (70% saved)

prune6.0ms (0.3%)

Memory

-47.0MiB live, 11.5MiB allocated; 5ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	114	4	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	115	4	119

Accuracy

100.0%

Counts

119 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (-.f64 y x))
▶	0.0%	(sqrt.f64 (-.f64 x y))
▶	87.2%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) (*.f64 (/.f64 (-.f64 y x) x) x))))
▶	46.0%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))))

Compiler

Compiled 26 to 26 computations (0% saved)

series12.0ms (0.6%)

Memory

26.6MiB live, 26.6MiB allocated; 0ms collecting garbage

Counts

15 → 79

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite151.0ms (6.9%)

Memory

15.0MiB live, 201.7MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	355	1921
0	366	1793
1	1744	1662
0	10074	1610

Stop Event

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

Counts

94 → 142

Calls

Call 1

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

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

eval12.0ms (0.6%)

Memory: -23.0MiB live, 23.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 186 to 489 computations (58.8% saved)

prune5.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	112	6	118
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	114	8	122

Accuracy

100.0%

Counts

122 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)))
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	0.0%	(sqrt.f64 (-.f64 x y))
▶	46.0%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) y))))
▶	58.5%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) x))))
	0.0%	(sqrt.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
▶	44.5%	(sqrt.f64 #s(approx (- x y) y))
▶	1.5%	#s(approx (sqrt (- y x)) (sqrt.f64 x))

Compiler

Compiled 106 to 106 computations (0% saved)

series21.0ms (1%)

Memory

-8.5MiB live, 37.1MiB allocated; 6ms collecting garbage

Counts

19 → 119

Calls

Call 1

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

Outputs
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (/ 1 (pow y -1/2))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1/2 (/ x (* y (pow y -1/2)))) (/ 1 (pow y -1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (* (pow y 2) (pow y -1/2)))) (* 1/2 (/ 1 (* y (pow y -1/2)))))) (/ 1 (pow y -1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (* (pow y 3) (pow y -1/2)))) (* 1/8 (/ 1 (* (pow y 2) (pow y -1/2)))))) (* 1/2 (/ 1 (* y (pow y -1/2)))))) (/ 1 (pow y -1/2)))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (pow y -1/2)))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* 1/2 (/ (* x (pow y -1/2)) y)) (pow y -1/2))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* x (+ (* 3/8 (/ (* x (pow y -1/2)) (pow y 2))) (* 1/2 (/ (pow y -1/2) y)))) (pow y -1/2))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* x (+ (* 1/2 (/ (pow y -1/2) y)) (* x (+ (* 5/16 (/ (* x (pow y -1/2)) (pow y 3))) (* 3/8 (/ (pow y -1/2) (pow y 2))))))) (pow y -1/2))))
#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 (- 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 (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 (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 (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (/ 1 (pow (neg (/ 1 x)) 1/2))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* 1/2 (/ y (* x (pow (neg (/ 1 x)) 1/2)))) (/ 1 (pow (neg (/ 1 x)) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))) (+ (* 1/8 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))) (* 1/4 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))))) (pow x 2))) (/ 1 (pow (neg (/ 1 x)) 1/2))) (* -1/2 (/ y (* x (pow (neg (/ 1 x)) 1/2)))))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/6 (/ (pow y 3) (pow (neg (/ 1 x)) 1/2))) (+ (* -1/8 (/ (pow y 3) (pow (neg (/ 1 x)) 1/2))) (+ (* -1/48 (/ (pow y 3) (pow (neg (/ 1 x)) 1/2))) (+ (* 1/2 (* y (+ (* -1/4 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))) (+ (* 1/8 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))) (* 1/4 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))))))) (* 1/2 (/ (* y (+ (* 1/8 (pow y 2)) (* 1/4 (pow y 2)))) (pow (neg (/ 1 x)) 1/2))))))) (pow x 3))) (/ 1 (pow (neg (/ 1 x)) 1/2))) (+ (* -1/2 (/ y (* x (pow (neg (/ 1 x)) 1/2)))) (+ (* -1/4 (/ (pow y 2) (* (pow x 2) (pow (neg (/ 1 x)) 1/2)))) (+ (* 1/8 (/ (pow y 2) (* (pow x 2) (pow (neg (/ 1 x)) 1/2)))) (* 1/4 (/ (pow y 2) (* (pow x 2) (pow (neg (/ 1 x)) 1/2))))))))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (pow (neg (/ 1 x)) 1/2)))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* -1/2 (/ (* y (pow (neg (/ 1 x)) 1/2)) x)) (pow (neg (/ 1 x)) 1/2))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* -1/2 (/ (* y (pow (neg (/ 1 x)) 1/2)) x)) (+ (/ (* (+ (* 1/8 (pow y 2)) (* 1/4 (pow y 2))) (pow (neg (/ 1 x)) 1/2)) (pow x 2)) (pow (neg (/ 1 x)) 1/2)))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* -1/2 (/ (* y (pow (neg (/ 1 x)) 1/2)) x)) (+ (/ (* (+ (* -1/6 (pow y 3)) (+ (* -1/8 (pow y 3)) (* -1/48 (pow y 3)))) (pow (neg (/ 1 x)) 1/2)) (pow x 3)) (+ (/ (* (+ (* 1/8 (pow y 2)) (* 1/4 (pow y 2))) (pow (neg (/ 1 x)) 1/2)) (pow x 2)) (pow (neg (/ 1 x)) 1/2))))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#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 (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 (pow (- y x) -1/2)) #s(hole binary64 (/ 1 (pow (/ -1 x) 1/2))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1/2 (/ y (* x (pow (/ -1 x) 1/2)))) (/ 1 (pow (/ -1 x) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/4 (/ (pow y 2) (* x (pow (/ -1 x) 1/2)))) (+ (* 1/8 (/ (pow y 2) (* x (pow (/ -1 x) 1/2)))) (* 1/4 (/ (pow y 2) (* x (pow (/ -1 x) 1/2)))))) (* -1/2 (/ y (pow (/ -1 x) 1/2)))) x)) (/ 1 (pow (/ -1 x) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow y 3) (* x (pow (/ -1 x) 1/2)))) (+ (* -1/8 (/ (pow y 3) (* x (pow (/ -1 x) 1/2)))) (+ (* -1/48 (/ (pow y 3) (* x (pow (/ -1 x) 1/2)))) (+ (* 1/2 (/ (* y (+ (* -1/4 (/ (pow y 2) (pow (/ -1 x) 1/2))) (+ (* 1/8 (/ (pow y 2) (pow (/ -1 x) 1/2))) (* 1/4 (/ (pow y 2) (pow (/ -1 x) 1/2)))))) x)) (* 1/2 (/ (* y (+ (* 1/8 (pow y 2)) (* 1/4 (pow y 2)))) (* x (pow (/ -1 x) 1/2)))))))) (+ (* -1/4 (/ (pow y 2) (pow (/ -1 x) 1/2))) (+ (* 1/8 (/ (pow y 2) (pow (/ -1 x) 1/2))) (* 1/4 (/ (pow y 2) (pow (/ -1 x) 1/2)))))) x)) (* -1/2 (/ y (pow (/ -1 x) 1/2)))) x)) (/ 1 (pow (/ -1 x) 1/2)))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (pow (/ -1 x) 1/2)))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* 1/2 (/ (* y (pow (/ -1 x) 1/2)) x)) (pow (/ -1 x) 1/2))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (* (+ (* 1/8 (pow y 2)) (* 1/4 (pow y 2))) (pow (/ -1 x) 1/2)) x)) (* -1/2 (* y (pow (/ -1 x) 1/2)))) x)) (pow (/ -1 x) 1/2))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1/6 (pow y 3)) (+ (* -1/8 (pow y 3)) (* -1/48 (pow y 3)))) (pow (/ -1 x) 1/2)) x)) (* (+ (* 1/8 (pow y 2)) (* 1/4 (pow y 2))) (pow (/ -1 x) 1/2))) x)) (* -1/2 (* y (pow (/ -1 x) 1/2)))) x)) (pow (/ -1 x) 1/2))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y 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 (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 (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 (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (/ 1 (pow (neg x) -1/2))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1/2 (/ y (* x (pow (neg x) -1/2)))) (/ 1 (pow (neg x) -1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* y (- (* -1/8 (/ y (* (pow x 2) (pow (neg x) -1/2)))) (* 1/2 (/ 1 (* x (pow (neg x) -1/2)))))) (/ 1 (pow (neg x) -1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* y (- (* y (- (* -1/16 (/ y (* (pow x 3) (pow (neg x) -1/2)))) (* 1/8 (/ 1 (* (pow x 2) (pow (neg x) -1/2)))))) (* 1/2 (/ 1 (* x (pow (neg x) -1/2)))))) (/ 1 (pow (neg x) -1/2)))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (pow (neg x) -1/2)))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* 1/2 (/ (* y (pow (neg x) -1/2)) x)) (pow (neg x) -1/2))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* y (+ (* 3/8 (/ (* y (pow (neg x) -1/2)) (pow x 2))) (* 1/2 (/ (pow (neg x) -1/2) x)))) (pow (neg x) -1/2))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* y (+ (* 1/2 (/ (pow (neg x) -1/2) x)) (* y (+ (* 5/16 (/ (* y (pow (neg x) -1/2)) (pow x 3))) (* 3/8 (/ (pow (neg x) -1/2) (pow x 2))))))) (pow (neg x) -1/2))))
#s(approx (- y x) #s(hole binary64 (- y 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 (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 (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (/ 1 (pow (/ 1 y) 1/2))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1/2 (/ x (* y (pow (/ 1 y) 1/2)))) (/ 1 (pow (/ 1 y) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))) (+ (* 1/8 (/ (pow x 2) (pow (/ 1 y) 1/2))) (* 1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))))) (pow y 2))) (/ 1 (pow (/ 1 y) 1/2))) (* 1/2 (/ x (* y (pow (/ 1 y) 1/2)))))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/2 (* x (+ (* -1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))) (+ (* 1/8 (/ (pow x 2) (pow (/ 1 y) 1/2))) (* 1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))))))) (+ (* -1/2 (/ (* x (+ (* 1/8 (pow x 2)) (* 1/4 (pow x 2)))) (pow (/ 1 y) 1/2))) (+ (* 1/48 (/ (pow x 3) (pow (/ 1 y) 1/2))) (+ (* 1/8 (/ (pow x 3) (pow (/ 1 y) 1/2))) (* 1/6 (/ (pow x 3) (pow (/ 1 y) 1/2))))))) (pow y 3))) (/ 1 (pow (/ 1 y) 1/2))) (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (pow (/ 1 y) 1/2)))) (+ (* 1/8 (/ (pow x 2) (* (pow y 2) (pow (/ 1 y) 1/2)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (pow (/ 1 y) 1/2)))) (* 1/2 (/ x (* y (pow (/ 1 y) 1/2))))))))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (pow (/ 1 y) 1/2)))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* 1/2 (/ (* x (pow (/ 1 y) 1/2)) y)) (pow (/ 1 y) 1/2))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* 1/2 (/ (* x (pow (/ 1 y) 1/2)) y)) (+ (/ (* (+ (* 1/8 (pow x 2)) (* 1/4 (pow x 2))) (pow (/ 1 y) 1/2)) (pow y 2)) (pow (/ 1 y) 1/2)))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* 1/2 (/ (* x (pow (/ 1 y) 1/2)) y)) (+ (/ (* (+ (* 1/48 (pow x 3)) (+ (* 1/8 (pow x 3)) (* 1/6 (pow x 3)))) (pow (/ 1 y) 1/2)) (pow y 3)) (+ (/ (* (+ (* 1/8 (pow x 2)) (* 1/4 (pow x 2))) (pow (/ 1 y) 1/2)) (pow y 2)) (pow (/ 1 y) 1/2))))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x 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 (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 (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* 1/2 (/ x (* y (pow (/ 1 y) 1/2)))) (/ 1 (pow (/ 1 y) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/4 (/ (pow x 2) (* y (pow (/ 1 y) 1/2)))) (+ (* 1/8 (/ (pow x 2) (* y (pow (/ 1 y) 1/2)))) (* 1/4 (/ (pow x 2) (* y (pow (/ 1 y) 1/2)))))) (* 1/2 (/ x (pow (/ 1 y) 1/2)))) y)) (/ 1 (pow (/ 1 y) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))) (+ (* 1/8 (/ (pow x 2) (pow (/ 1 y) 1/2))) (* 1/4 (/ (pow x 2) (pow (/ 1 y) 1/2)))))) y)) (+ (* -1/2 (/ (* x (+ (* 1/8 (pow x 2)) (* 1/4 (pow x 2)))) (* y (pow (/ 1 y) 1/2)))) (+ (* 1/48 (/ (pow x 3) (* y (pow (/ 1 y) 1/2)))) (+ (* 1/8 (/ (pow x 3) (* y (pow (/ 1 y) 1/2)))) (* 1/6 (/ (pow x 3) (* y (pow (/ 1 y) 1/2)))))))) (+ (* -1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))) (+ (* 1/8 (/ (pow x 2) (pow (/ 1 y) 1/2))) (* 1/4 (/ (pow x 2) (pow (/ 1 y) 1/2)))))) y)) (* 1/2 (/ x (pow (/ 1 y) 1/2)))) y)) (/ 1 (pow (/ 1 y) 1/2)))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* -1/2 (/ (* x (pow (/ 1 y) 1/2)) y)) (pow (/ 1 y) 1/2))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (* (+ (* 1/8 (pow x 2)) (* 1/4 (pow x 2))) (pow (/ 1 y) 1/2)) y)) (* 1/2 (* x (pow (/ 1 y) 1/2)))) y)) (pow (/ 1 y) 1/2))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ (* 1/48 (pow x 3)) (+ (* 1/8 (pow x 3)) (* 1/6 (pow x 3)))) (pow (/ 1 y) 1/2)) y)) (* (+ (* 1/8 (pow x 2)) (* 1/4 (pow x 2))) (pow (/ 1 y) 1/2))) y)) (* 1/2 (* x (pow (/ 1 y) 1/2)))) y)) (pow (/ 1 y) 1/2))))
#s(approx (- y x) #s(hole binary64 (* -1 (* 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 (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 (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)))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	((/ 1 (pow (- y x) -1/2)) 1 (pow (- y x) -1/2) (- y x) y x -1/2 (sqrt (- y x)) (sqrt x) (sqrt (- x y)) (- x y) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (/ (- y x) x) x) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (/ (- y x) x) x))
3.0ms	x	@	inf	((/ 1 (pow (- y x) -1/2)) 1 (pow (- y x) -1/2) (- y x) y x -1/2 (sqrt (- y x)) (sqrt x) (sqrt (- x y)) (- x y) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (/ (- y x) x) x) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (/ (- y x) x) x))
2.0ms	x	@	-inf	((/ 1 (pow (- y x) -1/2)) 1 (pow (- y x) -1/2) (- y x) y x -1/2 (sqrt (- y x)) (sqrt x) (sqrt (- x y)) (- x y) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (/ (- y x) x) x) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (/ (- y x) x) x))
2.0ms	y	@	0	((/ 1 (pow (- y x) -1/2)) 1 (pow (- y x) -1/2) (- y x) y x -1/2 (sqrt (- y x)) (sqrt x) (sqrt (- x y)) (- x y) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (/ (- y x) x) x) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (/ (- y x) x) x))
2.0ms	y	@	-inf	((/ 1 (pow (- y x) -1/2)) 1 (pow (- y x) -1/2) (- y x) y x -1/2 (sqrt (- y x)) (sqrt x) (sqrt (- x y)) (- x y) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (/ (- y x) x) x) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (/ (- y x) x) x))

rewrite202.0ms (9.2%)

Memory

12.8MiB live, 201.5MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	730	4117
0	739	3445
1	4345	3089
0	8956	2961

Stop Event

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

Counts

138 → 185

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(pow.f64 (-.f64 y x) #s(literal -1/2 binary64))
(-.f64 y x)
y
x
#s(literal -1/2 binary64)
#s(approx (sqrt (- y x)) (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 #s(approx (- x y) y))
#s(approx (- x y) y)
(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) x))))
(fabs.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) x)))
#s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) x))
#s(approx (* (/ (- y x) x) x) x)
(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) y))))
(fabs.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) y)))
#s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) y))
#s(approx (* (/ (- y x) x) x) y)
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (/ 1 (pow y -1/2))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1/2 (/ x (* y (pow y -1/2)))) (/ 1 (pow y -1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (* (pow y 2) (pow y -1/2)))) (* 1/2 (/ 1 (* y (pow y -1/2)))))) (/ 1 (pow y -1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (* (pow y 3) (pow y -1/2)))) (* 1/8 (/ 1 (* (pow y 2) (pow y -1/2)))))) (* 1/2 (/ 1 (* y (pow y -1/2)))))) (/ 1 (pow y -1/2)))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (pow y -1/2)))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* 1/2 (/ (* x (pow y -1/2)) y)) (pow y -1/2))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* x (+ (* 3/8 (/ (* x (pow y -1/2)) (pow y 2))) (* 1/2 (/ (pow y -1/2) y)))) (pow y -1/2))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* x (+ (* 1/2 (/ (pow y -1/2) y)) (* x (+ (* 5/16 (/ (* x (pow y -1/2)) (pow y 3))) (* 3/8 (/ (pow y -1/2) (pow y 2))))))) (pow y -1/2))))
#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 (- 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 (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 (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 (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (/ 1 (pow (neg (/ 1 x)) 1/2))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* 1/2 (/ y (* x (pow (neg (/ 1 x)) 1/2)))) (/ 1 (pow (neg (/ 1 x)) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))) (+ (* 1/8 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))) (* 1/4 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))))) (pow x 2))) (/ 1 (pow (neg (/ 1 x)) 1/2))) (* -1/2 (/ y (* x (pow (neg (/ 1 x)) 1/2)))))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/6 (/ (pow y 3) (pow (neg (/ 1 x)) 1/2))) (+ (* -1/8 (/ (pow y 3) (pow (neg (/ 1 x)) 1/2))) (+ (* -1/48 (/ (pow y 3) (pow (neg (/ 1 x)) 1/2))) (+ (* 1/2 (* y (+ (* -1/4 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))) (+ (* 1/8 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))) (* 1/4 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))))))) (* 1/2 (/ (* y (+ (* 1/8 (pow y 2)) (* 1/4 (pow y 2)))) (pow (neg (/ 1 x)) 1/2))))))) (pow x 3))) (/ 1 (pow (neg (/ 1 x)) 1/2))) (+ (* -1/2 (/ y (* x (pow (neg (/ 1 x)) 1/2)))) (+ (* -1/4 (/ (pow y 2) (* (pow x 2) (pow (neg (/ 1 x)) 1/2)))) (+ (* 1/8 (/ (pow y 2) (* (pow x 2) (pow (neg (/ 1 x)) 1/2)))) (* 1/4 (/ (pow y 2) (* (pow x 2) (pow (neg (/ 1 x)) 1/2))))))))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (pow (neg (/ 1 x)) 1/2)))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* -1/2 (/ (* y (pow (neg (/ 1 x)) 1/2)) x)) (pow (neg (/ 1 x)) 1/2))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* -1/2 (/ (* y (pow (neg (/ 1 x)) 1/2)) x)) (+ (/ (* (+ (* 1/8 (pow y 2)) (* 1/4 (pow y 2))) (pow (neg (/ 1 x)) 1/2)) (pow x 2)) (pow (neg (/ 1 x)) 1/2)))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* -1/2 (/ (* y (pow (neg (/ 1 x)) 1/2)) x)) (+ (/ (* (+ (* -1/6 (pow y 3)) (+ (* -1/8 (pow y 3)) (* -1/48 (pow y 3)))) (pow (neg (/ 1 x)) 1/2)) (pow x 3)) (+ (/ (* (+ (* 1/8 (pow y 2)) (* 1/4 (pow y 2))) (pow (neg (/ 1 x)) 1/2)) (pow x 2)) (pow (neg (/ 1 x)) 1/2))))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#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 (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 (pow (- y x) -1/2)) #s(hole binary64 (/ 1 (pow (/ -1 x) 1/2))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1/2 (/ y (* x (pow (/ -1 x) 1/2)))) (/ 1 (pow (/ -1 x) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/4 (/ (pow y 2) (* x (pow (/ -1 x) 1/2)))) (+ (* 1/8 (/ (pow y 2) (* x (pow (/ -1 x) 1/2)))) (* 1/4 (/ (pow y 2) (* x (pow (/ -1 x) 1/2)))))) (* -1/2 (/ y (pow (/ -1 x) 1/2)))) x)) (/ 1 (pow (/ -1 x) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow y 3) (* x (pow (/ -1 x) 1/2)))) (+ (* -1/8 (/ (pow y 3) (* x (pow (/ -1 x) 1/2)))) (+ (* -1/48 (/ (pow y 3) (* x (pow (/ -1 x) 1/2)))) (+ (* 1/2 (/ (* y (+ (* -1/4 (/ (pow y 2) (pow (/ -1 x) 1/2))) (+ (* 1/8 (/ (pow y 2) (pow (/ -1 x) 1/2))) (* 1/4 (/ (pow y 2) (pow (/ -1 x) 1/2)))))) x)) (* 1/2 (/ (* y (+ (* 1/8 (pow y 2)) (* 1/4 (pow y 2)))) (* x (pow (/ -1 x) 1/2)))))))) (+ (* -1/4 (/ (pow y 2) (pow (/ -1 x) 1/2))) (+ (* 1/8 (/ (pow y 2) (pow (/ -1 x) 1/2))) (* 1/4 (/ (pow y 2) (pow (/ -1 x) 1/2)))))) x)) (* -1/2 (/ y (pow (/ -1 x) 1/2)))) x)) (/ 1 (pow (/ -1 x) 1/2)))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (pow (/ -1 x) 1/2)))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* 1/2 (/ (* y (pow (/ -1 x) 1/2)) x)) (pow (/ -1 x) 1/2))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (* (+ (* 1/8 (pow y 2)) (* 1/4 (pow y 2))) (pow (/ -1 x) 1/2)) x)) (* -1/2 (* y (pow (/ -1 x) 1/2)))) x)) (pow (/ -1 x) 1/2))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1/6 (pow y 3)) (+ (* -1/8 (pow y 3)) (* -1/48 (pow y 3)))) (pow (/ -1 x) 1/2)) x)) (* (+ (* 1/8 (pow y 2)) (* 1/4 (pow y 2))) (pow (/ -1 x) 1/2))) x)) (* -1/2 (* y (pow (/ -1 x) 1/2)))) x)) (pow (/ -1 x) 1/2))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y 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 (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 (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 (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (/ 1 (pow (neg x) -1/2))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1/2 (/ y (* x (pow (neg x) -1/2)))) (/ 1 (pow (neg x) -1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* y (- (* -1/8 (/ y (* (pow x 2) (pow (neg x) -1/2)))) (* 1/2 (/ 1 (* x (pow (neg x) -1/2)))))) (/ 1 (pow (neg x) -1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* y (- (* y (- (* -1/16 (/ y (* (pow x 3) (pow (neg x) -1/2)))) (* 1/8 (/ 1 (* (pow x 2) (pow (neg x) -1/2)))))) (* 1/2 (/ 1 (* x (pow (neg x) -1/2)))))) (/ 1 (pow (neg x) -1/2)))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (pow (neg x) -1/2)))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* 1/2 (/ (* y (pow (neg x) -1/2)) x)) (pow (neg x) -1/2))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* y (+ (* 3/8 (/ (* y (pow (neg x) -1/2)) (pow x 2))) (* 1/2 (/ (pow (neg x) -1/2) x)))) (pow (neg x) -1/2))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* y (+ (* 1/2 (/ (pow (neg x) -1/2) x)) (* y (+ (* 5/16 (/ (* y (pow (neg x) -1/2)) (pow x 3))) (* 3/8 (/ (pow (neg x) -1/2) (pow x 2))))))) (pow (neg x) -1/2))))
#s(approx (- y x) #s(hole binary64 (- y 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 (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 (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (/ 1 (pow (/ 1 y) 1/2))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1/2 (/ x (* y (pow (/ 1 y) 1/2)))) (/ 1 (pow (/ 1 y) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))) (+ (* 1/8 (/ (pow x 2) (pow (/ 1 y) 1/2))) (* 1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))))) (pow y 2))) (/ 1 (pow (/ 1 y) 1/2))) (* 1/2 (/ x (* y (pow (/ 1 y) 1/2)))))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/2 (* x (+ (* -1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))) (+ (* 1/8 (/ (pow x 2) (pow (/ 1 y) 1/2))) (* 1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))))))) (+ (* -1/2 (/ (* x (+ (* 1/8 (pow x 2)) (* 1/4 (pow x 2)))) (pow (/ 1 y) 1/2))) (+ (* 1/48 (/ (pow x 3) (pow (/ 1 y) 1/2))) (+ (* 1/8 (/ (pow x 3) (pow (/ 1 y) 1/2))) (* 1/6 (/ (pow x 3) (pow (/ 1 y) 1/2))))))) (pow y 3))) (/ 1 (pow (/ 1 y) 1/2))) (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (pow (/ 1 y) 1/2)))) (+ (* 1/8 (/ (pow x 2) (* (pow y 2) (pow (/ 1 y) 1/2)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (pow (/ 1 y) 1/2)))) (* 1/2 (/ x (* y (pow (/ 1 y) 1/2))))))))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (pow (/ 1 y) 1/2)))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* 1/2 (/ (* x (pow (/ 1 y) 1/2)) y)) (pow (/ 1 y) 1/2))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* 1/2 (/ (* x (pow (/ 1 y) 1/2)) y)) (+ (/ (* (+ (* 1/8 (pow x 2)) (* 1/4 (pow x 2))) (pow (/ 1 y) 1/2)) (pow y 2)) (pow (/ 1 y) 1/2)))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* 1/2 (/ (* x (pow (/ 1 y) 1/2)) y)) (+ (/ (* (+ (* 1/48 (pow x 3)) (+ (* 1/8 (pow x 3)) (* 1/6 (pow x 3)))) (pow (/ 1 y) 1/2)) (pow y 3)) (+ (/ (* (+ (* 1/8 (pow x 2)) (* 1/4 (pow x 2))) (pow (/ 1 y) 1/2)) (pow y 2)) (pow (/ 1 y) 1/2))))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x 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 (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 (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* 1/2 (/ x (* y (pow (/ 1 y) 1/2)))) (/ 1 (pow (/ 1 y) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/4 (/ (pow x 2) (* y (pow (/ 1 y) 1/2)))) (+ (* 1/8 (/ (pow x 2) (* y (pow (/ 1 y) 1/2)))) (* 1/4 (/ (pow x 2) (* y (pow (/ 1 y) 1/2)))))) (* 1/2 (/ x (pow (/ 1 y) 1/2)))) y)) (/ 1 (pow (/ 1 y) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))) (+ (* 1/8 (/ (pow x 2) (pow (/ 1 y) 1/2))) (* 1/4 (/ (pow x 2) (pow (/ 1 y) 1/2)))))) y)) (+ (* -1/2 (/ (* x (+ (* 1/8 (pow x 2)) (* 1/4 (pow x 2)))) (* y (pow (/ 1 y) 1/2)))) (+ (* 1/48 (/ (pow x 3) (* y (pow (/ 1 y) 1/2)))) (+ (* 1/8 (/ (pow x 3) (* y (pow (/ 1 y) 1/2)))) (* 1/6 (/ (pow x 3) (* y (pow (/ 1 y) 1/2)))))))) (+ (* -1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))) (+ (* 1/8 (/ (pow x 2) (pow (/ 1 y) 1/2))) (* 1/4 (/ (pow x 2) (pow (/ 1 y) 1/2)))))) y)) (* 1/2 (/ x (pow (/ 1 y) 1/2)))) y)) (/ 1 (pow (/ 1 y) 1/2)))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* -1/2 (/ (* x (pow (/ 1 y) 1/2)) y)) (pow (/ 1 y) 1/2))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (* (+ (* 1/8 (pow x 2)) (* 1/4 (pow x 2))) (pow (/ 1 y) 1/2)) y)) (* 1/2 (* x (pow (/ 1 y) 1/2)))) y)) (pow (/ 1 y) 1/2))))
#s(approx (pow (- y x) -1/2) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ (* 1/48 (pow x 3)) (+ (* 1/8 (pow x 3)) (* 1/6 (pow x 3)))) (pow (/ 1 y) 1/2)) y)) (* (+ (* 1/8 (pow x 2)) (* 1/4 (pow x 2))) (pow (/ 1 y) 1/2))) y)) (* 1/2 (* x (pow (/ 1 y) 1/2)))) y)) (pow (/ 1 y) 1/2))))
#s(approx (- y x) #s(hole binary64 (* -1 (* 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 (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 (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)))))

Outputs
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x))) #s(literal -1 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (.f64 y y) (.f64 x x))) (sqrt.f64 (+.f64 y x)))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 y x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x))))
(sqrt.f64 (-.f64 y x))
(exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (-.f64 y x)) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 y x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
#s(literal 1 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 (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 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 y x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x)))
(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 (-.f64 (.f64 y y) (.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 y x)
y
x
#s(literal -1/2 binary64)
#s(approx (/ 1 (pow (- y x) -1/2)) (sqrt.f64 x))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 #s(approx (- x y) y) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- x y) y) #s(literal -1/2 binary64)))
(sqrt.f64 #s(approx (- x y) y))
(exp.f64 (*.f64 (log.f64 #s(approx (- x y) y)) #s(literal 1/2 binary64)))
#s(approx (- x y) y)
(pow.f64 (.f64 #s(approx (fabs (- x y)) #s(approx ( (/ (- y x) x) x) x)) #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) x))) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) x))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) x))) #s(literal -1/2 binary64)))
(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) x))))
(exp.f64 (.f64 (log.f64 (fabs.f64 #s(approx (fabs (- x y)) #s(approx ( (/ (- y x) x) x) x)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(approx (fabs (- x y)) #s(approx ( (/ (- y x) x) x) x))) (sqrt.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) x))))
(pow.f64 (.f64 #s(approx (fabs (- x y)) #s(approx ( (/ (- y x) x) x) x)) #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) x))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(approx (fabs (- x y)) #s(approx ( (/ (- y x) x) x) x)) #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) x))))
(fabs.f64 (neg.f64 (neg.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) x)))))
(fabs.f64 (neg.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) x))))
(fabs.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) x)))
#s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) x))
#s(approx (* (/ (- y x) x) x) x)
(pow.f64 (.f64 #s(approx (fabs (- x y)) #s(approx ( (/ (- y x) x) x) y)) #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) y))) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) y))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) y))) #s(literal -1/2 binary64)))
(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) y))))
(exp.f64 (.f64 (log.f64 (fabs.f64 #s(approx (fabs (- x y)) #s(approx ( (/ (- y x) x) x) y)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(approx (fabs (- x y)) #s(approx ( (/ (- y x) x) x) y))) (sqrt.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) y))))
(pow.f64 (.f64 #s(approx (fabs (- x y)) #s(approx ( (/ (- y x) x) x) y)) #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) y))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(approx (fabs (- x y)) #s(approx ( (/ (- y x) x) x) y)) #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) y))))
(fabs.f64 (neg.f64 (neg.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) y)))))
(fabs.f64 (neg.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) y))))
(fabs.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) y)))
#s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) y))
#s(approx (* (/ (- y x) x) x) y)
#s(approx (/ 1 (pow (- y x) -1/2)) (sqrt.f64 y))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64) (sqrt.f64 y)))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (-.f64 (.f64 (/.f64 x (.f64 (sqrt.f64 y) y)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x (sqrt.f64 y)))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 (.f64 y y) y))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 y) y))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x (sqrt.f64 y)))
#s(approx (pow (- y x) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
#s(approx (pow (- y x) -1/2) (fma.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
#s(approx (pow (- y x) -1/2) (fma.f64 (fma.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) (.f64 y y)) #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) y)) x (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
#s(approx (pow (- y x) -1/2) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) (.f64 (.f64 y y) y)) #s(literal 5/16 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 y y)) #s(literal 3/8 binary64))) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) y)) x (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
#s(approx (- y x) y)
#s(approx (- y x) (+.f64 (neg.f64 x) y))
#s(approx x x)
#s(approx (/ 1 (pow (- y x) -1/2)) (sqrt.f64 y))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64) (sqrt.f64 y)))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (-.f64 (.f64 (/.f64 x (.f64 (sqrt.f64 y) y)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x (sqrt.f64 y)))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 (.f64 y y) y))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 y) y))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x (sqrt.f64 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 (sqrt.f64 y) 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 #s(literal 1/16 binary64) (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 (.f64 y y) y)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 y) 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 (sqrt (fabs (fabs (- x y)))) (sqrt.f64 (fabs.f64 (-.f64 x y))))
#s(approx (fabs (- x y)) (fabs.f64 (-.f64 x y)))
#s(approx (fabs (- x y)) (fabs.f64 (-.f64 x y)))
#s(approx (/ 1 (pow (- y x) -1/2)) (sqrt.f64 (neg.f64 x)))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x)) #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 x))))
#s(approx (/ 1 (pow (- y x) -1/2)) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3/8 binary64))) (.f64 x x))) (-.f64 (sqrt.f64 (neg.f64 x)) (.f64 (/.f64 y (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x)) #s(literal -1/2 binary64)))))
#s(approx (/ 1 (pow (- y x) -1/2)) (-.f64 (+.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) y) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -1/6 binary64) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 (.f64 y y) y) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3/8 binary64))) y (.f64 y (/.f64 (.f64 (.f64 y y) #s(literal 3/8 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))) (.f64 (.f64 x x) x)))) (fma.f64 (/.f64 y (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 y y) (.f64 (sqrt.f64 x) x)) #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 y y) (*.f64 (sqrt.f64 x) x)) #s(literal 3/8 binary64))))))
#s(approx (pow (- y x) -1/2) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
#s(approx (pow (- y x) -1/2) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) y) x) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (pow (- y x) -1/2) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) y) x) #s(literal -1/2 binary64) (fma.f64 (.f64 (.f64 y y) #s(literal 3/8 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (pow (- y x) -1/2) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 y y) y) #s(literal -7/48 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 y y) #s(literal 3/8 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))
#s(approx (- y x) (neg.f64 x))
#s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (pow (- y x) -1/2)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (/ 1 (pow (- y x) -1/2)) (.f64 (fma.f64 (/.f64 y (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) x))
#s(approx (/ 1 (pow (- y x) -1/2)) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 (/.f64 y (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 x x) (*.f64 x x)))) #s(literal -1/8 binary64)))) x))
#s(approx (/ 1 (pow (- y x) -1/2)) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 y (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 y y) y) (exp.f64 (fma.f64 (.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 1/2 binary64)) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) #s(literal 1/16 binary64))))) 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 (sqrt.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 (sqrt.f64 x) x)) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.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 (sqrt (- x y)) (.f64 (+.f64 (fma.f64 (/.f64 y (.f64 (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 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 (/ 1 (pow (- y x) -1/2)) (sqrt.f64 (neg.f64 x)))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x)) #s(literal -1/2 binary64) (sqrt.f64 (neg.f64 x))))
#s(approx (/ 1 (pow (- y x) -1/2)) (+.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x)) #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 y y) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x)) #s(literal 3/8 binary64))) (.f64 (/.f64 y (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -1/2 binary64))) x))))
#s(approx (/ 1 (pow (- y x) -1/2)) (+.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (fma.f64 (/.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3/8 binary64))) x) (/.f64 (.f64 (.f64 (.f64 y y) #s(literal 3/8 binary64)) y) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x))))))) (fma.f64 (/.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3/8 binary64)))) x)) (*.f64 (/.f64 y (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -1/2 binary64))) x))))
#s(approx (pow (- y x) -1/2) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
#s(approx (pow (- y x) -1/2) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) y) x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (pow (- y x) -1/2) (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 y y) #s(literal 3/8 binary64))) x))) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (pow (- y x) -1/2) (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 y y) #s(literal 3/8 binary64)) (neg.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 (*.f64 y y) y) #s(literal -7/48 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x)))) x))) x)) (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 (/ 1 (pow (- y x) -1/2)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ 1 (pow (- y x) -1/2)) (.f64 (neg.f64 x) (fma.f64 (/.f64 y (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (/ 1 (pow (- y x) -1/2)) (.f64 (neg.f64 x) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 (/.f64 y (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 x x) (*.f64 x x)))) #s(literal -1/8 binary64))))))
#s(approx (/ 1 (pow (- y x) -1/2)) (.f64 (neg.f64 x) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 y (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 y y) y) (exp.f64 (fma.f64 (.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 1/2 binary64)) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) #s(literal 1/16 binary64)))))))
#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 (sqrt.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 (sqrt.f64 x) x)) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.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 (sqrt (- x y)) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 y (.f64 (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 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 (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 (/ 1 (pow (- y x) -1/2)) (sqrt.f64 (neg.f64 x)))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x)) #s(literal -1/2 binary64) (sqrt.f64 (neg.f64 x))))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (fma.f64 (/.f64 y (.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) x)))) y (sqrt.f64 (neg.f64 x))))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/16 binary64) y) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 x) x))) y (.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) x)))) y (sqrt.f64 (neg.f64 x))))
#s(approx (pow (- y x) -1/2) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
#s(approx (pow (- y x) -1/2) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) y) x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (pow (- y x) -1/2) (fma.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) y) (.f64 x x)) #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 x))) x)) y (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (pow (- y x) -1/2) (fma.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x)) #s(literal 3/8 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) y) (.f64 (*.f64 x x) x)) #s(literal 5/16 binary64))) y (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 x))) x)) y (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (- y x) (-.f64 y x))
#s(approx (/ 1 (pow (- y x) -1/2)) (sqrt.f64 (neg.f64 x)))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (/.f64 y (sqrt.f64 (neg.f64 x))) #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 x))))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) 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 (/ 1 (pow (- y x) -1/2)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 y (.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #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 (neg.f64 x)))) y (sqrt.f64 (neg.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 (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 (-.f64 (.f64 (-.f64 (.f64 (/.f64 y (.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #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) (+.f64 (neg.f64 y) x))
#s(approx (/ 1 (pow (- y x) -1/2)) (sqrt.f64 y))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64) (sqrt.f64 y)))
#s(approx (/ 1 (pow (- y x) -1/2)) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 3/8 binary64))) (.f64 y y))) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64) (sqrt.f64 y))))
#s(approx (/ 1 (pow (- y x) -1/2)) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 3/8 binary64))) x) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 3/8 binary64)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 7/24 binary64) (.f64 (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 1/48 binary64))))) (.f64 (.f64 y y) y))) (sqrt.f64 y)) (fma.f64 (/.f64 (.f64 x x) (.f64 (sqrt.f64 y) y)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 x x) (.f64 (sqrt.f64 y) y)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (.f64 x x) (.f64 (sqrt.f64 y) y)) #s(literal 1/4 binary64) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))))))
#s(approx (pow (- y x) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
#s(approx (pow (- y x) -1/2) (fma.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
#s(approx (pow (- y x) -1/2) (fma.f64 (.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) y)) #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 3/8 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
#s(approx (pow (- y x) -1/2) (fma.f64 (.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) y)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal 7/24 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 x x) #s(literal 3/8 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))))
#s(approx (- y x) (*.f64 (+.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) y))
#s(approx (/ 1 (pow (- y x) -1/2)) (sqrt.f64 y))
#s(approx (/ 1 (pow (- y x) -1/2)) (+.f64 (sqrt.f64 y) (.f64 y (.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) #s(literal -1/2 binary64)))))
#s(approx (/ 1 (pow (- y x) -1/2)) (+.f64 (sqrt.f64 y) (.f64 y (fma.f64 (/.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 y) y)) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/8 binary64) (.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) #s(literal -1/2 binary64))))))
#s(approx (/ 1 (pow (- y x) -1/2)) (+.f64 (sqrt.f64 y) (.f64 y (fma.f64 (/.f64 x (.f64 (sqrt.f64 y) y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 y))) #s(literal 5 binary64) (.f64 (log.f64 y) #s(literal 6 binary64))))) #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 y) y)) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/8 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 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 y) y)) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/8 binary64) (.f64 (/.f64 x (*.f64 (sqrt.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 #s(literal 1 binary64) (.f64 (sqrt.f64 y) y)) (.f64 (.f64 y y) (.f64 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 (sqrt.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 (/ 1 (pow (- y x) -1/2)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)))
#s(approx (/ 1 (pow (- y x) -1/2)) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) (sqrt.f64 y)) #s(literal -1/4 binary64) (-.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 y)) #s(literal 3/8 binary64)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 1/2 binary64)))) y)) (sqrt.f64 y)))
#s(approx (/ 1 (pow (- y x) -1/2)) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 3/8 binary64))) x) y) #s(literal -1/2 binary64) (-.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 3/8 binary64)) x) (sqrt.f64 y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (sqrt.f64 y)) #s(literal 7/24 binary64) (/.f64 (.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) x)) (sqrt.f64 y)))) (fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 3/8 binary64))))) y)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 1/2 binary64))) y)) (sqrt.f64 y)))
#s(approx (pow (- y x) -1/2) (fma.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
#s(approx (pow (- y x) -1/2) (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 3/8 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y))) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
#s(approx (pow (- y x) -1/2) (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 3/8 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (neg.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 7/24 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) y)))) y))) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
#s(approx (- y x) (*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal 1 binary64))))
#s(approx (/ 1 (pow (- y x) -1/2)) (neg.f64 (sqrt.f64 y)))
#s(approx (/ 1 (pow (- y x) -1/2)) (neg.f64 (+.f64 (sqrt.f64 y) (.f64 y (.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) #s(literal -1/2 binary64))))))
#s(approx (/ 1 (pow (- y x) -1/2)) (neg.f64 (+.f64 (sqrt.f64 y) (.f64 y (fma.f64 (/.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 y) y)) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/8 binary64) (.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) #s(literal -1/2 binary64)))))))
#s(approx (/ 1 (pow (- y x) -1/2)) (neg.f64 (+.f64 (sqrt.f64 y) (.f64 y (fma.f64 (/.f64 x (.f64 (sqrt.f64 y) y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 y))) #s(literal 5 binary64) (.f64 (log.f64 y) #s(literal 6 binary64))))) #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 y) y)) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/8 binary64))))))))
#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 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 #s(literal 1 binary64) (.f64 (sqrt.f64 y) y)) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/8 binary64) (.f64 (/.f64 x (*.f64 (sqrt.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 #s(literal 1 binary64) (.f64 (sqrt.f64 y) y)) (.f64 (.f64 y y) (.f64 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 (sqrt.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 (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)))

eval17.0ms (0.8%)

Memory: -10.6MiB live, 32.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 085 to 690 computations (66.9% saved)

prune4.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	147	2	149
Fresh	0	1	1
Picked	2	3	5
Done	0	2	2
Total	149	8	157

Accuracy

100.0%

Counts

157 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)))
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	0.0%	(sqrt.f64 (-.f64 x y))
▶	0.0%	(sqrt.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
▶	1.5%	(sqrt.f64 #s(approx (- x y) (neg.f64 y)))
✓	44.5%	(sqrt.f64 #s(approx (- x y) y))
▶	57.0%	#s(approx (/ 1 (pow (- y x) -1/2)) (sqrt.f64 (neg.f64 x)))
✓	1.5%	#s(approx (sqrt (- y x)) (sqrt.f64 x))

Compiler

Compiled 51 to 51 computations (0% saved)

series9.0ms (0.4%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Counts

14 → 66

Calls

Call 1

Inputs
#s(approx (/ 1 (pow (- y x) -1/2)) (sqrt.f64 (neg.f64 x)))
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(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)
#s(literal 1 binary64)

Outputs
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (/ 1 (pow y -1/2))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1/2 (/ x (* y (pow y -1/2)))) (/ 1 (pow y -1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (* (pow y 2) (pow y -1/2)))) (* 1/2 (/ 1 (* y (pow y -1/2)))))) (/ 1 (pow y -1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (* (pow y 3) (pow y -1/2)))) (* 1/8 (/ 1 (* (pow y 2) (pow y -1/2)))))) (* 1/2 (/ 1 (* y (pow y -1/2)))))) (/ 1 (pow y -1/2)))))
#s(approx (sqrt (neg x)) #s(hole binary64 (sqrt (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 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 (* (- (/ 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 (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (/ 1 (pow (neg (/ 1 x)) 1/2))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* 1/2 (/ y (* x (pow (neg (/ 1 x)) 1/2)))) (/ 1 (pow (neg (/ 1 x)) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))) (+ (* 1/8 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))) (* 1/4 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))))) (pow x 2))) (/ 1 (pow (neg (/ 1 x)) 1/2))) (* -1/2 (/ y (* x (pow (neg (/ 1 x)) 1/2)))))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/6 (/ (pow y 3) (pow (neg (/ 1 x)) 1/2))) (+ (* -1/8 (/ (pow y 3) (pow (neg (/ 1 x)) 1/2))) (+ (* -1/48 (/ (pow y 3) (pow (neg (/ 1 x)) 1/2))) (+ (* 1/2 (* y (+ (* -1/4 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))) (+ (* 1/8 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))) (* 1/4 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))))))) (* 1/2 (/ (* y (+ (* 1/8 (pow y 2)) (* 1/4 (pow y 2)))) (pow (neg (/ 1 x)) 1/2))))))) (pow x 3))) (/ 1 (pow (neg (/ 1 x)) 1/2))) (+ (* -1/2 (/ y (* x (pow (neg (/ 1 x)) 1/2)))) (+ (* -1/4 (/ (pow y 2) (* (pow x 2) (pow (neg (/ 1 x)) 1/2)))) (+ (* 1/8 (/ (pow y 2) (* (pow x 2) (pow (neg (/ 1 x)) 1/2)))) (* 1/4 (/ (pow y 2) (* (pow x 2) (pow (neg (/ 1 x)) 1/2))))))))))
#s(approx (sqrt (neg x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#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 (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (/ 1 (pow (/ -1 x) 1/2))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1/2 (/ y (* x (pow (/ -1 x) 1/2)))) (/ 1 (pow (/ -1 x) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/4 (/ (pow y 2) (* x (pow (/ -1 x) 1/2)))) (+ (* 1/8 (/ (pow y 2) (* x (pow (/ -1 x) 1/2)))) (* 1/4 (/ (pow y 2) (* x (pow (/ -1 x) 1/2)))))) (* -1/2 (/ y (pow (/ -1 x) 1/2)))) x)) (/ 1 (pow (/ -1 x) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow y 3) (* x (pow (/ -1 x) 1/2)))) (+ (* -1/8 (/ (pow y 3) (* x (pow (/ -1 x) 1/2)))) (+ (* -1/48 (/ (pow y 3) (* x (pow (/ -1 x) 1/2)))) (+ (* 1/2 (/ (* y (+ (* -1/4 (/ (pow y 2) (pow (/ -1 x) 1/2))) (+ (* 1/8 (/ (pow y 2) (pow (/ -1 x) 1/2))) (* 1/4 (/ (pow y 2) (pow (/ -1 x) 1/2)))))) x)) (* 1/2 (/ (* y (+ (* 1/8 (pow y 2)) (* 1/4 (pow y 2)))) (* x (pow (/ -1 x) 1/2)))))))) (+ (* -1/4 (/ (pow y 2) (pow (/ -1 x) 1/2))) (+ (* 1/8 (/ (pow y 2) (pow (/ -1 x) 1/2))) (* 1/4 (/ (pow y 2) (pow (/ -1 x) 1/2)))))) x)) (* -1/2 (/ y (pow (/ -1 x) 1/2)))) x)) (/ 1 (pow (/ -1 x) 1/2)))))
#s(approx (sqrt (neg x)) #s(hole binary64 (* -1 (* x (sqrt (/ -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 (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (/ 1 (pow (neg x) -1/2))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1/2 (/ y (* x (pow (neg x) -1/2)))) (/ 1 (pow (neg x) -1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* y (- (* -1/8 (/ y (* (pow x 2) (pow (neg x) -1/2)))) (* 1/2 (/ 1 (* x (pow (neg x) -1/2)))))) (/ 1 (pow (neg x) -1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* y (- (* y (- (* -1/16 (/ y (* (pow x 3) (pow (neg x) -1/2)))) (* 1/8 (/ 1 (* (pow x 2) (pow (neg x) -1/2)))))) (* 1/2 (/ 1 (* x (pow (neg x) -1/2)))))) (/ 1 (pow (neg x) -1/2)))))
#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 y #s(hole binary64 y))
#s(approx (- (/ x y) 1) #s(hole binary64 (/ (+ x (* -1 y)) y)))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (/ 1 (pow (/ 1 y) 1/2))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1/2 (/ x (* y (pow (/ 1 y) 1/2)))) (/ 1 (pow (/ 1 y) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))) (+ (* 1/8 (/ (pow x 2) (pow (/ 1 y) 1/2))) (* 1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))))) (pow y 2))) (/ 1 (pow (/ 1 y) 1/2))) (* 1/2 (/ x (* y (pow (/ 1 y) 1/2)))))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/2 (* x (+ (* -1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))) (+ (* 1/8 (/ (pow x 2) (pow (/ 1 y) 1/2))) (* 1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))))))) (+ (* -1/2 (/ (* x (+ (* 1/8 (pow x 2)) (* 1/4 (pow x 2)))) (pow (/ 1 y) 1/2))) (+ (* 1/48 (/ (pow x 3) (pow (/ 1 y) 1/2))) (+ (* 1/8 (/ (pow x 3) (pow (/ 1 y) 1/2))) (* 1/6 (/ (pow x 3) (pow (/ 1 y) 1/2))))))) (pow y 3))) (/ 1 (pow (/ 1 y) 1/2))) (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (pow (/ 1 y) 1/2)))) (+ (* 1/8 (/ (pow x 2) (* (pow y 2) (pow (/ 1 y) 1/2)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (pow (/ 1 y) 1/2)))) (* 1/2 (/ x (* y (pow (/ 1 y) 1/2))))))))))
#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 (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* 1/2 (/ x (* y (pow (/ 1 y) 1/2)))) (/ 1 (pow (/ 1 y) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/4 (/ (pow x 2) (* y (pow (/ 1 y) 1/2)))) (+ (* 1/8 (/ (pow x 2) (* y (pow (/ 1 y) 1/2)))) (* 1/4 (/ (pow x 2) (* y (pow (/ 1 y) 1/2)))))) (* 1/2 (/ x (pow (/ 1 y) 1/2)))) y)) (/ 1 (pow (/ 1 y) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))) (+ (* 1/8 (/ (pow x 2) (pow (/ 1 y) 1/2))) (* 1/4 (/ (pow x 2) (pow (/ 1 y) 1/2)))))) y)) (+ (* -1/2 (/ (* x (+ (* 1/8 (pow x 2)) (* 1/4 (pow x 2)))) (* y (pow (/ 1 y) 1/2)))) (+ (* 1/48 (/ (pow x 3) (* y (pow (/ 1 y) 1/2)))) (+ (* 1/8 (/ (pow x 3) (* y (pow (/ 1 y) 1/2)))) (* 1/6 (/ (pow x 3) (* y (pow (/ 1 y) 1/2)))))))) (+ (* -1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))) (+ (* 1/8 (/ (pow x 2) (pow (/ 1 y) 1/2))) (* 1/4 (/ (pow x 2) (pow (/ 1 y) 1/2)))))) y)) (* 1/2 (/ x (pow (/ 1 y) 1/2)))) y)) (/ 1 (pow (/ 1 y) 1/2)))))
#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	((/ 1 (pow (- y x) -1/2)) (sqrt (neg x)) (neg x) x (sqrt (- x y)) (- x y) (neg y) y (sqrt (- x y)) (- x y) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) 1)
1.0ms	y	@	-inf	((/ 1 (pow (- y x) -1/2)) (sqrt (neg x)) (neg x) x (sqrt (- x y)) (- x y) (neg y) y (sqrt (- x y)) (- x y) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) 1)
1.0ms	x	@	inf	((/ 1 (pow (- y x) -1/2)) (sqrt (neg x)) (neg x) x (sqrt (- x y)) (- x y) (neg y) y (sqrt (- x y)) (- x y) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) 1)
1.0ms	y	@	inf	((/ 1 (pow (- y x) -1/2)) (sqrt (neg x)) (neg x) x (sqrt (- x y)) (- x y) (neg y) y (sqrt (- x y)) (- x y) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) 1)
1.0ms	x	@	0	((/ 1 (pow (- y x) -1/2)) (sqrt (neg x)) (neg x) x (sqrt (- x y)) (- x y) (neg y) y (sqrt (- x y)) (- x y) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) 1)

rewrite245.0ms (11.2%)

Memory

-52.5MiB live, 153.2MiB allocated; 148ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	457	2412
0	467	1944
1	2698	1619
0	9465	1554

Stop Event

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

Counts

80 → 115

Calls

Call 1

Inputs
#s(approx (/ 1 (pow (- y x) -1/2)) (sqrt.f64 (neg.f64 x)))
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(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)
#s(literal 1 binary64)
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (/ 1 (pow y -1/2))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1/2 (/ x (* y (pow y -1/2)))) (/ 1 (pow y -1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (* (pow y 2) (pow y -1/2)))) (* 1/2 (/ 1 (* y (pow y -1/2)))))) (/ 1 (pow y -1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (* (pow y 3) (pow y -1/2)))) (* 1/8 (/ 1 (* (pow y 2) (pow y -1/2)))))) (* 1/2 (/ 1 (* y (pow y -1/2)))))) (/ 1 (pow y -1/2)))))
#s(approx (sqrt (neg x)) #s(hole binary64 (sqrt (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 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 (* (- (/ 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 (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (/ 1 (pow (neg (/ 1 x)) 1/2))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* 1/2 (/ y (* x (pow (neg (/ 1 x)) 1/2)))) (/ 1 (pow (neg (/ 1 x)) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))) (+ (* 1/8 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))) (* 1/4 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))))) (pow x 2))) (/ 1 (pow (neg (/ 1 x)) 1/2))) (* -1/2 (/ y (* x (pow (neg (/ 1 x)) 1/2)))))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/6 (/ (pow y 3) (pow (neg (/ 1 x)) 1/2))) (+ (* -1/8 (/ (pow y 3) (pow (neg (/ 1 x)) 1/2))) (+ (* -1/48 (/ (pow y 3) (pow (neg (/ 1 x)) 1/2))) (+ (* 1/2 (* y (+ (* -1/4 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))) (+ (* 1/8 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))) (* 1/4 (/ (pow y 2) (pow (neg (/ 1 x)) 1/2))))))) (* 1/2 (/ (* y (+ (* 1/8 (pow y 2)) (* 1/4 (pow y 2)))) (pow (neg (/ 1 x)) 1/2))))))) (pow x 3))) (/ 1 (pow (neg (/ 1 x)) 1/2))) (+ (* -1/2 (/ y (* x (pow (neg (/ 1 x)) 1/2)))) (+ (* -1/4 (/ (pow y 2) (* (pow x 2) (pow (neg (/ 1 x)) 1/2)))) (+ (* 1/8 (/ (pow y 2) (* (pow x 2) (pow (neg (/ 1 x)) 1/2)))) (* 1/4 (/ (pow y 2) (* (pow x 2) (pow (neg (/ 1 x)) 1/2))))))))))
#s(approx (sqrt (neg x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#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 (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (/ 1 (pow (/ -1 x) 1/2))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1/2 (/ y (* x (pow (/ -1 x) 1/2)))) (/ 1 (pow (/ -1 x) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/4 (/ (pow y 2) (* x (pow (/ -1 x) 1/2)))) (+ (* 1/8 (/ (pow y 2) (* x (pow (/ -1 x) 1/2)))) (* 1/4 (/ (pow y 2) (* x (pow (/ -1 x) 1/2)))))) (* -1/2 (/ y (pow (/ -1 x) 1/2)))) x)) (/ 1 (pow (/ -1 x) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow y 3) (* x (pow (/ -1 x) 1/2)))) (+ (* -1/8 (/ (pow y 3) (* x (pow (/ -1 x) 1/2)))) (+ (* -1/48 (/ (pow y 3) (* x (pow (/ -1 x) 1/2)))) (+ (* 1/2 (/ (* y (+ (* -1/4 (/ (pow y 2) (pow (/ -1 x) 1/2))) (+ (* 1/8 (/ (pow y 2) (pow (/ -1 x) 1/2))) (* 1/4 (/ (pow y 2) (pow (/ -1 x) 1/2)))))) x)) (* 1/2 (/ (* y (+ (* 1/8 (pow y 2)) (* 1/4 (pow y 2)))) (* x (pow (/ -1 x) 1/2)))))))) (+ (* -1/4 (/ (pow y 2) (pow (/ -1 x) 1/2))) (+ (* 1/8 (/ (pow y 2) (pow (/ -1 x) 1/2))) (* 1/4 (/ (pow y 2) (pow (/ -1 x) 1/2)))))) x)) (* -1/2 (/ y (pow (/ -1 x) 1/2)))) x)) (/ 1 (pow (/ -1 x) 1/2)))))
#s(approx (sqrt (neg x)) #s(hole binary64 (* -1 (* x (sqrt (/ -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 (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (/ 1 (pow (neg x) -1/2))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1/2 (/ y (* x (pow (neg x) -1/2)))) (/ 1 (pow (neg x) -1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* y (- (* -1/8 (/ y (* (pow x 2) (pow (neg x) -1/2)))) (* 1/2 (/ 1 (* x (pow (neg x) -1/2)))))) (/ 1 (pow (neg x) -1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* y (- (* y (- (* -1/16 (/ y (* (pow x 3) (pow (neg x) -1/2)))) (* 1/8 (/ 1 (* (pow x 2) (pow (neg x) -1/2)))))) (* 1/2 (/ 1 (* x (pow (neg x) -1/2)))))) (/ 1 (pow (neg x) -1/2)))))
#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 y #s(hole binary64 y))
#s(approx (- (/ x y) 1) #s(hole binary64 (/ (+ x (* -1 y)) y)))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (/ 1 (pow (/ 1 y) 1/2))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1/2 (/ x (* y (pow (/ 1 y) 1/2)))) (/ 1 (pow (/ 1 y) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))) (+ (* 1/8 (/ (pow x 2) (pow (/ 1 y) 1/2))) (* 1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))))) (pow y 2))) (/ 1 (pow (/ 1 y) 1/2))) (* 1/2 (/ x (* y (pow (/ 1 y) 1/2)))))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/2 (* x (+ (* -1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))) (+ (* 1/8 (/ (pow x 2) (pow (/ 1 y) 1/2))) (* 1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))))))) (+ (* -1/2 (/ (* x (+ (* 1/8 (pow x 2)) (* 1/4 (pow x 2)))) (pow (/ 1 y) 1/2))) (+ (* 1/48 (/ (pow x 3) (pow (/ 1 y) 1/2))) (+ (* 1/8 (/ (pow x 3) (pow (/ 1 y) 1/2))) (* 1/6 (/ (pow x 3) (pow (/ 1 y) 1/2))))))) (pow y 3))) (/ 1 (pow (/ 1 y) 1/2))) (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (pow (/ 1 y) 1/2)))) (+ (* 1/8 (/ (pow x 2) (* (pow y 2) (pow (/ 1 y) 1/2)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (pow (/ 1 y) 1/2)))) (* 1/2 (/ x (* y (pow (/ 1 y) 1/2))))))))))
#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 (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* 1/2 (/ x (* y (pow (/ 1 y) 1/2)))) (/ 1 (pow (/ 1 y) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/4 (/ (pow x 2) (* y (pow (/ 1 y) 1/2)))) (+ (* 1/8 (/ (pow x 2) (* y (pow (/ 1 y) 1/2)))) (* 1/4 (/ (pow x 2) (* y (pow (/ 1 y) 1/2)))))) (* 1/2 (/ x (pow (/ 1 y) 1/2)))) y)) (/ 1 (pow (/ 1 y) 1/2)))))
#s(approx (/ 1 (pow (- y x) -1/2)) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))) (+ (* 1/8 (/ (pow x 2) (pow (/ 1 y) 1/2))) (* 1/4 (/ (pow x 2) (pow (/ 1 y) 1/2)))))) y)) (+ (* -1/2 (/ (* x (+ (* 1/8 (pow x 2)) (* 1/4 (pow x 2)))) (* y (pow (/ 1 y) 1/2)))) (+ (* 1/48 (/ (pow x 3) (* y (pow (/ 1 y) 1/2)))) (+ (* 1/8 (/ (pow x 3) (* y (pow (/ 1 y) 1/2)))) (* 1/6 (/ (pow x 3) (* y (pow (/ 1 y) 1/2)))))))) (+ (* -1/4 (/ (pow x 2) (pow (/ 1 y) 1/2))) (+ (* 1/8 (/ (pow x 2) (pow (/ 1 y) 1/2))) (* 1/4 (/ (pow x 2) (pow (/ 1 y) 1/2)))))) y)) (* 1/2 (/ x (pow (/ 1 y) 1/2)))) y)) (/ 1 (pow (/ 1 y) 1/2)))))
#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 (/ 1 (pow (- y x) -1/2)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(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 x #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.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)))
(sqrt.f64 x)
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1/2 binary64)))
x
x
(pow.f64 #s(approx (- x y) y) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- x y) y) #s(literal -1/2 binary64)))
(sqrt.f64 #s(approx (- x y) y))
(exp.f64 (*.f64 (log.f64 #s(approx (- x y) y)) #s(literal 1/2 binary64)))
#s(approx (- x y) y)
y
y
(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 (.f64 x #s(literal 2 binary64)) (.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64))))))
(/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 y y)) #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)) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64)))))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 x y)
(neg.f64 (/.f64 x y))
#s(literal 1 binary64)
#s(approx (/ 1 (pow (- y x) -1/2)) (sqrt.f64 y))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64) (sqrt.f64 y)))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (-.f64 (.f64 (/.f64 x (.f64 (sqrt.f64 y) y)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x (sqrt.f64 y)))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (/.f64 x (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (.f64 (.f64 y y) y))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 y) y))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x (sqrt.f64 y)))
#s(approx (sqrt (neg x)) (sqrt.f64 x))
#s(approx (neg x) x)
#s(approx (neg x) x)
#s(approx (sqrt (- x y)) (sqrt.f64 y))
#s(approx (sqrt (- x y)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)))
#s(approx (sqrt (- x y)) (fma.f64 (fma.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x (sqrt.f64 y)))
#s(approx (sqrt (- x y)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 x (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (.f64 (.f64 y y) y)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 y) y))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x (sqrt.f64 y)))
#s(approx (- x y) 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 (/ 1 (pow (- y x) -1/2)) (sqrt.f64 x))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ 1 (pow (- y x) -1/2)) (-.f64 (+.f64 (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3/8 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 x x)))) (.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/2 binary64))))
#s(approx (/ 1 (pow (- y x) -1/2)) (-.f64 (+.f64 (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/6 binary64) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3/8 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) y (/.f64 (.f64 (.f64 (.f64 y y) #s(literal 3/8 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 (/.f64 (.f64 (.f64 y y) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/48 binary64))))) (.f64 (.f64 x x) x)))) (fma.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 y y) (.f64 (sqrt.f64 x) x)) #s(literal 3/8 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (*.f64 (sqrt.f64 x) x))))))
#s(approx (sqrt (neg x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) 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 (sqrt.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 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (- x y)) (.f64 (+.f64 (fma.f64 (/.f64 y (.f64 (sqrt.f64 x) x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (sqrt.f64 x)))) #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.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 y x) #s(literal 1 binary64)) x))
#s(approx (- (/ x y) 1) (.f64 (/.f64 (-.f64 x y) (.f64 y x)) x))
#s(approx (/ 1 (pow (- y x) -1/2)) (sqrt.f64 x))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(approx (/ 1 (pow (- y x) -1/2)) (+.f64 (sqrt.f64 x) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal 3/8 binary64) (.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/4 binary64))) (.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))) x))))
#s(approx (/ 1 (pow (- y x) -1/2)) (+.f64 (sqrt.f64 x) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/48 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (fma.f64 (/.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3/8 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x) (/.f64 (.f64 (.f64 (.f64 y y) #s(literal 3/8 binary64)) y) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))))))) (fma.f64 (/.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3/8 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))) x))))
#s(approx (sqrt (neg x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) 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 (sqrt.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 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (- x y)) (.f64 (+.f64 (fma.f64 (/.f64 y (.f64 (sqrt.f64 x) x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (sqrt.f64 x)))) #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.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 y x) #s(literal 1 binary64)) x))
#s(approx (- (/ x y) 1) (.f64 (/.f64 (-.f64 y x) (.f64 x y)) x))
#s(approx (/ 1 (pow (- y x) -1/2)) (sqrt.f64 x))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (fma.f64 (/.f64 y (.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) x)))) y (sqrt.f64 x)))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 y (.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 x) x))) y (.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) x)))) y (sqrt.f64 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 #s(literal -1/8 binary64) y) (.f64 (sqrt.f64 x) 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 (.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #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 y y)
#s(approx (- (/ x y) 1) (/.f64 (+.f64 x y) y))
#s(approx (/ 1 (pow (- y x) -1/2)) (sqrt.f64 y))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64) (sqrt.f64 y)))
#s(approx (/ 1 (pow (- y x) -1/2)) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) #s(literal 3/8 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))) (.f64 y y))) (-.f64 (sqrt.f64 y) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (pow (- y x) -1/2)) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) #s(literal 3/8 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))) x) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 3/8 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) #s(literal 7/24 binary64) (.f64 (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) #s(literal 1/48 binary64))))) (.f64 (.f64 y y) y))) (sqrt.f64 y)) (fma.f64 (/.f64 (.f64 x x) (.f64 (sqrt.f64 y) y)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 x x) (.f64 (sqrt.f64 y) y)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (.f64 x x) (.f64 (sqrt.f64 y) y)) #s(literal 1/4 binary64) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64)))))))
#s(approx (sqrt (- x y)) (sqrt.f64 y))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 y) (.f64 y (.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 y) (.f64 y (fma.f64 (/.f64 (.f64 x x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) y)) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/8 binary64) (.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) #s(literal 1/2 binary64))))))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 y) (.f64 y (fma.f64 (/.f64 (.f64 x x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) y)) (.f64 (.f64 y 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)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 y y) y)) (sqrt.f64 y)))) #s(literal 1/16 binary64) (.f64 (/.f64 x (.f64 (sqrt.f64 y) y)) #s(literal 1/2 binary64)))))))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (/ 1 (pow (- y x) -1/2)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)))
#s(approx (/ 1 (pow (- y x) -1/2)) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) (sqrt.f64 y)) #s(literal -1/4 binary64) (-.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 y)) #s(literal 3/8 binary64)) (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) #s(literal 1/2 binary64)))) y)) (sqrt.f64 y)))
#s(approx (/ 1 (pow (- y x) -1/2)) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) #s(literal 3/8 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))) x) y) #s(literal -1/2 binary64) (-.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 3/8 binary64)) x) (sqrt.f64 y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (sqrt.f64 y)) #s(literal 7/24 binary64) (/.f64 (.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) x)) (sqrt.f64 y)))) (fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) #s(literal 3/8 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))))) y)) (.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) #s(literal 1/2 binary64))) y)) (sqrt.f64 y)))
#s(approx (sqrt (- x y)) (sqrt.f64 y))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 y) (.f64 y (.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 y) (.f64 y (fma.f64 (/.f64 (.f64 x x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) y)) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/8 binary64) (.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) #s(literal 1/2 binary64))))))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 y) (.f64 y (fma.f64 (/.f64 (.f64 x x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) y)) (.f64 (.f64 y 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)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 y y) y)) (sqrt.f64 y)))) #s(literal 1/16 binary64) (.f64 (/.f64 x (.f64 (sqrt.f64 y) y)) #s(literal 1/2 binary64)))))))
#s(approx (- x y) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))

eval8.0ms (0.3%)

Memory: 12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 030 to 464 computations (55% saved)

prune5.0ms (0.2%)

Memory

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

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	86	8	94

Accuracy

100.0%

Counts

94 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)))
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	0.0%	(sqrt.f64 (-.f64 x y))
✓	0.0%	(sqrt.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
✓	1.5%	(sqrt.f64 #s(approx (- x y) (neg.f64 y)))
✓	44.5%	(sqrt.f64 #s(approx (- x y) y))
✓	57.0%	#s(approx (/ 1 (pow (- y x) -1/2)) (sqrt.f64 (neg.f64 x)))
✓	1.5%	#s(approx (sqrt (- y x)) (sqrt.f64 x))

Compiler

Compiled 118 to 104 computations (11.9% saved)

regimes21.0ms (1%)

Memory

22.3MiB live, 22.3MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

regimes31.0ms (1.4%)

Memory

-30.8MiB live, 24.4MiB allocated; 5ms collecting garbage

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 x))
(sqrt.f64 #s(approx (- x y) y))
#s(approx (/ 1 (pow (- y x) -1/2)) (sqrt.f64 (neg.f64 x)))
(sqrt.f64 #s(approx (- x y) (neg.f64 y)))
(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) x))))
(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) y))))
(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))))
(sqrt.f64 (-.f64 x y))

Outputs
#s(approx (/ 1 (pow (- y x) -1/2)) (sqrt.f64 (neg.f64 x)))
(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) y))))

Calls

5 calls:

19.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
3.0ms	(fabs.f64 (-.f64 x y))
3.0ms	(-.f64 x y)
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
58.5%	1	`(-.f64 x y)`
58.5%	1	`(fabs.f64 (-.f64 x y))`
58.5%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
85.8%	2	`x`
84.8%	2	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes2.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 x))
(sqrt.f64 #s(approx (- x y) y))
#s(approx (/ 1 (pow (- y x) -1/2)) (sqrt.f64 (neg.f64 x)))
(sqrt.f64 #s(approx (- x y) (neg.f64 y)))
(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) #s(approx (* (/ (- y x) x) x) x))))

Outputs
#s(approx (/ 1 (pow (- y x) -1/2)) (sqrt.f64 (neg.f64 x)))
(sqrt.f64 #s(approx (- x y) y))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
85.5%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.3%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
44.5%	1	`(-.f64 x y)`
44.5%	1	`(fabs.f64 (-.f64 x y))`
44.5%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
44.5%	1	`y`
44.5%	1	`x`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes40.0ms (1.8%)

Memory

-34.1MiB live, 11.0MiB allocated; 4ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

36.0ms	(-.f64 x y)
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	(fabs.f64 (-.f64 x y))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
1.5%	1	`(-.f64 x y)`
1.5%	1	`x`
1.5%	1	`(fabs.f64 (-.f64 x y))`
1.5%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
1.5%	1	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch6.0ms (0.3%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	-6.6495005153071e-84	-2.4219058619187092e-84

Samples

3.0ms

80×

valid

Compiler

Compiled 113 to 125 computations (-10.6% saved)

Precisions

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

ival-sqrt: 1.0ms (82.3% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-6.6495005153071e-84	-2.4219058619187092e-84

Compiler

Compiled 83 to 95 computations (-14.5% saved)

derivations384.0ms (17.6%)

Memory

9.4MiB live, 236.4MiB allocated; 35ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 34 to 31 computations (8.8% saved)

preprocess61.0ms (2.8%)

Memory: 29.6MiB live, 128.7MiB allocated; 36ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 145 to 140 computations (3.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample684.0ms (31.3%)

preprocess80.0ms (3.7%)

series3.0ms (0.2%)

rewrite160.0ms (7.3%)

eval9.0ms (0.4%)

prune6.0ms (0.3%)

series12.0ms (0.6%)

rewrite151.0ms (6.9%)

eval12.0ms (0.6%)

prune5.0ms (0.2%)

series21.0ms (1%)

rewrite202.0ms (9.2%)

eval17.0ms (0.8%)

prune4.0ms (0.2%)

series9.0ms (0.4%)

rewrite245.0ms (11.2%)

eval8.0ms (0.3%)

prune5.0ms (0.2%)

regimes21.0ms (1%)

regimes31.0ms (1.4%)

regimes2.0ms (0.1%)

regimes7.0ms (0.3%)

regimes40.0ms (1.8%)

bsearch6.0ms (0.3%)

bsearch1.0ms (0%)

derivations384.0ms (17.6%)

preprocess61.0ms (2.8%)

end0.0ms (0%)

Profiling