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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample693.0ms (42.4%)

Memory

42.8MiB live, 753.6MiB allocated; 141ms collecting garbage

Samples

488.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-sqrt: 117.0ms (54.7% of total)

ival-sub: 49.0ms (22.9% of total)

ival-fabs: 43.0ms (20.1% of total)

ival-assert: 3.0ms (1.4% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

explain53.0ms (3.3%)

Memory

-25.4MiB live, 112.4MiB allocated; 14ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(fabs.f64 (-.f64 x y))`
-	-	`(-.f64 x y)`
-	-	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

23.0ms

512×

valid

Compiler

Compiled 37 to 19 computations (48.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sub: 3.0ms (30.2% of total)

ival-fabs: 3.0ms (30.2% of total)

ival-sqrt: 3.0ms (30.2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess15.0ms (0.9%)

Memory

34.9MiB live, 34.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	36
1	30	36
2	45	36
3	93	36
4	176	36
5	232	36
0	5	5
0	8	5
1	12	5
2	17	5
3	31	5
4	58	5
5	80	5
0	80	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

series10.0ms (0.6%)

Memory

-43.3MiB live, 10.0MiB allocated; 8ms collecting garbage

Counts

5 → 16

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))
#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
7.0ms	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)

rewrite189.0ms (11.6%)

Memory

4.0MiB live, 240.7MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	170
0	52	154
1	199	152
2	1505	135
0	9010	135

Stop Event

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

Counts

21 → 227

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

eval11.0ms (0.7%)

Memory: 28.4MiB live, 28.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 212 to 399 computations (82% saved)

prune4.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	125	3	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	126	3	129

Accuracy

100.0%

Counts

129 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.3%	(/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (sqrt.f64 (+.f64 y x)))
▶	100.0%	(sqrt.f64 (-.f64 y x))
▶	52.2%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) x)))

Compiler

Compiled 25 to 19 computations (24% saved)

series21.0ms (1.3%)

Memory

-16.6MiB live, 30.2MiB allocated; 2ms collecting garbage

Counts

12 → 127

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite155.0ms (9.5%)

Memory

-10.9MiB live, 137.3MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	634	4125
0	645	3318
0	3723	3170

Stop Event

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

Counts

139 → 160

Calls

Call 1

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

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

eval40.0ms (2.5%)

Memory: -16.0MiB live, 30.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 977 to 740 computations (81.4% saved)

prune4.0ms (0.2%)

Memory

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

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	167	2	169
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	168	4	172

Accuracy

100.0%

Counts

172 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.1%	(/.f64 #s(approx (sqrt (* (+ y x) (- y x))) y) (sqrt.f64 (+.f64 y x)))
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	52.2%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) x)))
▶	50.5%	(sqrt.f64 #s(approx (- y x) y))

Compiler

Compiled 33 to 26 computations (21.2% saved)

series5.0ms (0.3%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Counts

8 → 105

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite164.0ms (10.1%)

Memory

-13.0MiB live, 132.2MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	549	3686
0	554	2944
0	3199	2806

Stop Event

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

Counts

113 → 121

Calls

Call 1

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

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

eval10.0ms (0.6%)

Memory: 18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 098 to 533 computations (82.8% saved)

prune4.0ms (0.3%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	101	4	105

Accuracy

100.0%

Counts

105 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.1%	(/.f64 #s(approx (sqrt (* (+ y x) (- y x))) y) (sqrt.f64 (+.f64 y x)))
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	52.2%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) x)))
✓	50.5%	(sqrt.f64 #s(approx (- y x) y))

Compiler

Compiled 84 to 51 computations (39.3% saved)

regimes17.0ms (1.1%)

Memory

-13.5MiB live, 31.1MiB allocated; 2ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	y
2.0ms	x
2.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms	(fabs.f64 (-.f64 x y))
2.0ms	(-.f64 x y)

Results

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

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes13.0ms (0.8%)

Memory

-23.1MiB live, 19.4MiB allocated; 6ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
57.3%	2	`(-.f64 x y)`
57.3%	2	`(fabs.f64 (-.f64 x y))`
57.3%	2	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
82.1%	2	`x`
86.5%	2	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes6.0ms (0.4%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
50.5%	1	`(fabs.f64 (-.f64 x y))`
50.5%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
50.5%	1	`(-.f64 x y)`
50.5%	1	`x`
50.5%	1	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch12.0ms (0.7%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	9.643187188914335e+33	8.908382162060518e+42

Samples

6.0ms

144×

valid

Compiler

Compiled 134 to 136 computations (-1.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (37.5% of total)

ival-fabs: 1.0ms (37.5% of total)

ival-sqrt: 1.0ms (37.5% of total)

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

adjust: 0.0ms (0% of total)

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

simplify78.0ms (4.8%)

Memory

-9.4MiB live, 85.7MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	28
1	22	28
2	37	28
3	62	28
4	108	28
5	171	28
6	232	28
7	392	28
8	426	28
9	637	28
10	3679	28

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal 30000000000000001826021443431825408 binary64)) (sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) x))) (sqrt.f64 #s(approx (- y x) y)))

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

Outputs

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

(if (<=.f64 y #s(literal 30000000000000001826021443431825408 binary64)) (sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) x))) (sqrt.f64 #s(approx (- y x) y)))

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

derivations82.0ms (5%)

Memory

12.3MiB live, 56.4MiB allocated; 12ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 28 to 15 computations (46.4% saved)

preprocess46.0ms (2.8%)

Memory: -9.9MiB live, 35.1MiB allocated; 8ms collecting garbage
Compiler: Compiled 74 to 48 computations (35.1% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	18	36
1	30	36
2	45	36
3	93	36
4	176	36
5	232	36
0	5	5
0	8	5
1	12	5
2	17	5
3	31	5
4	58	5
5	80	5
0	80	5

Iter	Nodes	Cost
0	18	36
1	30	36
2	45	36
3	93	36
4	176	36
5	232	36
0	5	5
0	8	5
1	12	5
2	17	5
3	31	5
4	58	5
5	80	5
0	80	5

start0.0ms (0%)

analyze0.0ms (0%)

sample693.0ms (42.4%)

explain53.0ms (3.3%)

preprocess15.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series10.0ms (0.6%)

rewrite189.0ms (11.6%)

eval11.0ms (0.7%)

prune4.0ms (0.2%)

series21.0ms (1.3%)

rewrite155.0ms (9.5%)

eval40.0ms (2.5%)

prune4.0ms (0.2%)

series5.0ms (0.3%)

rewrite164.0ms (10.1%)

eval10.0ms (0.6%)

prune4.0ms (0.3%)

regimes17.0ms (1.1%)

regimes13.0ms (0.8%)

regimes6.0ms (0.4%)

bsearch12.0ms (0.7%)

simplify78.0ms (4.8%)

derivations82.0ms (5%)

preprocess46.0ms (2.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	36
1	30	36
2	45	36
3	93	36
4	176	36
5	232	36
0	5	5
0	8	5
1	12	5
2	17	5
3	31	5
4	58	5
5	80	5
0	80	5