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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB 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)

sample541.0ms (40.1%)

Memory

-10.7MiB live, 751.8MiB allocated; 122ms collecting garbage

Samples

319.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-sqrt: 56.0ms (42.3% of total)

ival-fabs: 46.0ms (34.8% of total)

ival-sub!: 29.0ms (21.9% of total)

adjust: 1.0ms (0.8% of total)

Bogosity

preprocess83.0ms (6.2%)

Memory

-6.2MiB live, 41.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	36
1	43	36
2	81	36
3	316	36
4	1781	36
5	4185	36
6	6779	36

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

series4.0ms (0.3%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms 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
1.0ms	x	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) x y)
1.0ms	y	@	inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) x y)
1.0ms	x	@	0	((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)

rewrite139.0ms (10.3%)

Memory

45.3MiB live, 136.2MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	170
0	53	154
1	200	152
2	1506	135
0	9012	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 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (sqrt.f64 (-.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 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (sqrt.f64 (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (sqrt.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (sqrt.f64 (fma.f64 y (+.f64 y x) (.f64 x x))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (sqrt.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (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 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y)))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (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 (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (neg.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x))) (-.f64 (.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (+.f64 y x) (.f64 x x)))) (.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (+.f64 y x) (.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))) (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y)))) (.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))) (/.f64 (.f64 (.f64 x x) x) (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 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 y y (fma.f64 x x (*.f64 y x)))))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 y x))) (neg.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (neg.f64 (fabs.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (neg.f64 (fabs.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y)))))
(/.f64 (neg.f64 (fabs.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (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))) (*.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y y))) (*.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (.f64 (.f64 y y) y))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (.f64 (.f64 y y) y))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (fma.f64 y (+.f64 y x) (.f64 x x))))
(/.f64 (fma.f64 (.f64 (.f64 y y) y) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y)) (.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y)) (.f64 (.f64 x x) x))) (.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 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (-.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) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (sqrt.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (sqrt.f64 (.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)) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (sqrt.f64 (.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (.f64 (+.f64 y x) (-.f64 y x)))) (sqrt.f64 (.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (+.f64 y x))))
(/.f64 (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (fma.f64 y y (fma.f64 x x (*.f64 y x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.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 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (fma.f64 y (+.f64 y x) (.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (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 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (fabs.f64 (fma.f64 y y (fma.f64 x x (.f64 y x)))))
(/.f64 (fabs.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (fabs.f64 (fma.f64 y (+.f64 y x) (.f64 x x))))
(/.f64 (fabs.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (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 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (fma.f64 y (+.f64 y x) (.f64 x x)))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y)))
(neg.f64 (-.f64 y x))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 y #s(literal -1 binary64) x)
(fma.f64 x #s(literal -1 binary64) y)
(sqrt.f64 (*.f64 (-.f64 y x) (-.f64 y x)))
(-.f64 (/.f64 (.f64 y y) (-.f64 (neg.f64 y) x)) (/.f64 (.f64 x x) (-.f64 (neg.f64 y) x)))
(-.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 y y (fma.f64 x x (.f64 y x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 y y (fma.f64 x x (.f64 y x)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 (neg.f64 x) y)) (/.f64 (.f64 y y) (-.f64 (neg.f64 x) y)))
(-.f64 (/.f64 (.f64 y y) (neg.f64 (+.f64 y x))) (/.f64 (.f64 x x) (neg.f64 (+.f64 y x))))
(-.f64 (/.f64 (.f64 x x) (neg.f64 (+.f64 y x))) (/.f64 (.f64 y y) (neg.f64 (+.f64 y x))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))))
(-.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)))
(-.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (+.f64 y x) (.f64 x x))))
(-.f64 y x)
(-.f64 x (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(-.f64 x y)
(fabs.f64 (-.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x)))))
(fabs.f64 (-.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) x))
(fabs.f64 (-.f64 y x))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 y y) (-.f64 (neg.f64 y) x)) (/.f64 (.f64 x (neg.f64 x)) (-.f64 (neg.f64 y) x)))
(+.f64 (/.f64 (.f64 x x) (-.f64 (neg.f64 x) y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (neg.f64 x) y)))
(+.f64 (/.f64 (.f64 x x) (-.f64 (neg.f64 x) y)) (/.f64 (.f64 y (neg.f64 y)) (-.f64 (neg.f64 x) y)))
(+.f64 (/.f64 (.f64 y y) (neg.f64 (+.f64 y x))) (/.f64 (.f64 x (neg.f64 x)) (neg.f64 (+.f64 y x))))
(+.f64 (/.f64 (.f64 x x) (neg.f64 (+.f64 y x))) (/.f64 (.f64 (neg.f64 y) y) (neg.f64 (+.f64 y x))))
(+.f64 (/.f64 (.f64 x x) (neg.f64 (+.f64 y x))) (/.f64 (.f64 y (neg.f64 y)) (neg.f64 (+.f64 y x))))
(+.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x))))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))))
(+.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))))
(+.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x (neg.f64 x)) (+.f64 y x)))
(+.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 (neg.f64 y) y) (+.f64 y x)))
(+.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y (neg.f64 y)) (+.f64 y x)))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (+.f64 y x) (.f64 x x))))
(+.f64 (neg.f64 x) y)
(+.f64 (neg.f64 y) x)
(+.f64 y (neg.f64 x))
(+.f64 x (neg.f64 y))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (neg.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x))) (-.f64 (.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (+.f64 y x) (.f64 x x)))) (.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (+.f64 y x) (.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))) (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y)))) (.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))) (/.f64 (.f64 (.f64 x x) x) (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 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 y y (fma.f64 x x (*.f64 y x)))))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 y x))) (neg.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (neg.f64 (fabs.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (neg.f64 (fabs.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y)))))
(/.f64 (neg.f64 (fabs.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (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))) (*.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y y))) (*.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (.f64 (.f64 y y) y))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (.f64 (.f64 y y) y))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (fma.f64 y (+.f64 y x) (.f64 x x))))
(/.f64 (fma.f64 (.f64 (.f64 y y) y) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y)) (.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y)) (.f64 (.f64 x x) x))) (.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 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (-.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) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (sqrt.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (sqrt.f64 (.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)) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))) (sqrt.f64 (.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (.f64 (+.f64 y x) (-.f64 y x)))) (sqrt.f64 (.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (+.f64 y x))))
(/.f64 (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (fma.f64 y y (fma.f64 x x (*.f64 y x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.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 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (fma.f64 y (+.f64 y x) (.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (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 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (fabs.f64 (fma.f64 y y (fma.f64 x x (.f64 y x)))))
(/.f64 (fabs.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (fabs.f64 (fma.f64 y (+.f64 y x) (.f64 x x))))
(/.f64 (fabs.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (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 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (fma.f64 y (+.f64 y x) (.f64 x x)))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y)))
(neg.f64 (-.f64 y x))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 y #s(literal -1 binary64) x)
(fma.f64 x #s(literal -1 binary64) y)
(sqrt.f64 (*.f64 (-.f64 y x) (-.f64 y x)))
(-.f64 (/.f64 (.f64 y y) (-.f64 (neg.f64 y) x)) (/.f64 (.f64 x x) (-.f64 (neg.f64 y) x)))
(-.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 y y (fma.f64 x x (.f64 y x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 y y (fma.f64 x x (.f64 y x)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 (neg.f64 x) y)) (/.f64 (.f64 y y) (-.f64 (neg.f64 x) y)))
(-.f64 (/.f64 (.f64 y y) (neg.f64 (+.f64 y x))) (/.f64 (.f64 x x) (neg.f64 (+.f64 y x))))
(-.f64 (/.f64 (.f64 x x) (neg.f64 (+.f64 y x))) (/.f64 (.f64 y y) (neg.f64 (+.f64 y x))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))))
(-.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)))
(-.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (+.f64 y x) (.f64 x x))))
(-.f64 y x)
(-.f64 x (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(-.f64 x y)
(fabs.f64 (-.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x)))))
(fabs.f64 (-.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) x))
(fabs.f64 (-.f64 y x))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 y y) (-.f64 (neg.f64 y) x)) (/.f64 (.f64 x (neg.f64 x)) (-.f64 (neg.f64 y) x)))
(+.f64 (/.f64 (.f64 x x) (-.f64 (neg.f64 x) y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (neg.f64 x) y)))
(+.f64 (/.f64 (.f64 x x) (-.f64 (neg.f64 x) y)) (/.f64 (.f64 y (neg.f64 y)) (-.f64 (neg.f64 x) y)))
(+.f64 (/.f64 (.f64 y y) (neg.f64 (+.f64 y x))) (/.f64 (.f64 x (neg.f64 x)) (neg.f64 (+.f64 y x))))
(+.f64 (/.f64 (.f64 x x) (neg.f64 (+.f64 y x))) (/.f64 (.f64 (neg.f64 y) y) (neg.f64 (+.f64 y x))))
(+.f64 (/.f64 (.f64 x x) (neg.f64 (+.f64 y x))) (/.f64 (.f64 y (neg.f64 y)) (neg.f64 (+.f64 y x))))
(+.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x))))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))))
(+.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))))
(+.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x (neg.f64 x)) (+.f64 y x)))
(+.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 (neg.f64 y) y) (+.f64 y x)))
(+.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y (neg.f64 y)) (+.f64 y x)))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (+.f64 y x) (.f64 x x))))
(+.f64 (neg.f64 x) y)
(+.f64 (neg.f64 y) x)
(+.f64 y (neg.f64 x))
(+.f64 x (neg.f64 y))
x
y
#s(approx (sqrt (fabs (- x y))) (sqrt.f64 (-.f64 y x)))
#s(approx (fabs (- x y)) (-.f64 y x))
#s(approx (fabs (- x y)) (neg.f64 y))
#s(approx (fabs (- x y)) (-.f64 y x))
#s(approx x x)
#s(approx (fabs (- x y)) x)
#s(approx (fabs (- x y)) (*.f64 (/.f64 (-.f64 y x) x) x))
#s(approx (sqrt (fabs (- x y))) (sqrt.f64 (-.f64 y x)))
#s(approx (fabs (- x y)) (-.f64 y x))
#s(approx (fabs (- x y)) (*.f64 (/.f64 (-.f64 y x) x) x))
#s(approx (fabs (- x y)) (-.f64 y x))
#s(approx y y)
#s(approx (fabs (- x y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (sqrt (fabs (- x y))) (sqrt.f64 (-.f64 y x)))
#s(approx (fabs (- x y)) (-.f64 y x))
#s(approx (fabs (- x y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))

eval19.0ms (1.4%)

Memory: -29.2MiB live, 23.6MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 275 to 394 computations (69.1% saved)

prune3.0ms (0.3%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	122	4	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	4	127

Accuracy

100.0%

Counts

127 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (-.f64 y x))
▶	0.0%	(sqrt.f64 (-.f64 x y))
▶	53.8%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))))
▶	51.8%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) x)))

Compiler

Compiled 23 to 23 computations (0% saved)

series13.0ms (0.9%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Counts

13 → 72

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) x (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (neg y) y (sqrt (- x y)) (- x y) (sqrt (- y x)) (- y x))
2.0ms	x	@	inf	((sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) x (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (neg y) y (sqrt (- x y)) (- x y) (sqrt (- y x)) (- y x))
2.0ms	y	@	inf	((sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) x (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (neg y) y (sqrt (- x y)) (- x y) (sqrt (- y x)) (- y x))
2.0ms	x	@	-inf	((sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) x (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (neg y) y (sqrt (- x y)) (- x y) (sqrt (- y x)) (- y x))
1.0ms	x	@	0	((sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) x (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (neg y) y (sqrt (- x y)) (- x y) (sqrt (- y x)) (- y x))

rewrite83.0ms (6.1%)

Memory

-11.7MiB live, 81.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	387	1911
0	394	1629
0	2070	1561

Stop Event

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

Counts

85 → 99

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

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

eval8.0ms (0.6%)

Memory: 13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 071 to 399 computations (62.7% saved)

prune28.0ms (2.1%)

Memory

-39.2MiB live, 7.7MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	88	5	93
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	90	7	97

Accuracy

100.0%

Counts

97 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	0.0%	(sqrt.f64 (-.f64 x y))
▶	50.2%	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
▶	52.4%	(sqrt.f64 #s(approx (- y x) y))
▶	1.4%	(sqrt.f64 #s(approx (- x y) (neg.f64 y)))
▶	1.6%	(sqrt.f64 #s(approx (- x y) x))
▶	53.1%	#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)))

Compiler

Compiled 76 to 74 computations (2.6% saved)

series10.0ms (0.8%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Counts

19 → 77

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((sqrt (- y x)) (+ (* (* (/ 1 (sqrt y)) x) -1/2) (sqrt y)) (* (/ 1 (sqrt y)) x) (/ 1 (sqrt y)) 1 (sqrt y) y x -1/2 (sqrt (- x y)) (- x y) (sqrt (- y x)) (- y x) (sqrt (- x y)) (- x y) (neg y) (sqrt (- y x)) (- y x) (neg x))
2.0ms	x	@	-inf	((sqrt (- y x)) (+ (* (* (/ 1 (sqrt y)) x) -1/2) (sqrt y)) (* (/ 1 (sqrt y)) x) (/ 1 (sqrt y)) 1 (sqrt y) y x -1/2 (sqrt (- x y)) (- x y) (sqrt (- y x)) (- y x) (sqrt (- x y)) (- x y) (neg y) (sqrt (- y x)) (- y x) (neg x))
1.0ms	x	@	0	((sqrt (- y x)) (+ (* (* (/ 1 (sqrt y)) x) -1/2) (sqrt y)) (* (/ 1 (sqrt y)) x) (/ 1 (sqrt y)) 1 (sqrt y) y x -1/2 (sqrt (- x y)) (- x y) (sqrt (- y x)) (- y x) (sqrt (- x y)) (- x y) (neg y) (sqrt (- y x)) (- y x) (neg x))
1.0ms	x	@	inf	((sqrt (- y x)) (+ (* (* (/ 1 (sqrt y)) x) -1/2) (sqrt y)) (* (/ 1 (sqrt y)) x) (/ 1 (sqrt y)) 1 (sqrt y) y x -1/2 (sqrt (- x y)) (- x y) (sqrt (- y x)) (- y x) (sqrt (- x y)) (- x y) (neg y) (sqrt (- y x)) (- y x) (neg x))
1.0ms	y	@	0	((sqrt (- y x)) (+ (* (* (/ 1 (sqrt y)) x) -1/2) (sqrt y)) (* (/ 1 (sqrt y)) x) (/ 1 (sqrt y)) 1 (sqrt y) y x -1/2 (sqrt (- x y)) (- x y) (sqrt (- y x)) (- y x) (sqrt (- x y)) (- x y) (neg y) (sqrt (- y x)) (- y x) (neg x))

rewrite83.0ms (6.1%)

Memory

27.0MiB live, 120.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	406	2089
0	421	1806
0	2173	1734

Stop Event

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

Counts

96 → 121

Calls

Call 1

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

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

eval12.0ms (0.9%)

Memory: -23.3MiB live, 22.0MiB allocated; 8ms collecting garbage
Compiler: Compiled 1 253 to 472 computations (62.3% saved)

prune5.0ms (0.3%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	5	5
Done	0	2	2
Total	101	7	108

Accuracy

100.0%

Counts

108 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	0.0%	(sqrt.f64 (-.f64 x y))
✓	50.2%	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
✓	52.4%	(sqrt.f64 #s(approx (- y x) y))
✓	1.4%	(sqrt.f64 #s(approx (- x y) (neg.f64 y)))
✓	1.6%	(sqrt.f64 #s(approx (- x y) x))
✓	53.1%	#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)))

Compiler

Compiled 86 to 76 computations (11.6% saved)

regimes21.0ms (1.6%)

Memory

0.2MiB live, 45.7MiB allocated; 8ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
3.0ms	(fabs.f64 (-.f64 x y))
3.0ms	(-.f64 x y)
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
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)

regimes21.0ms (1.6%)

Memory

4.0MiB live, 56.7MiB allocated; 10ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
3.0ms	(fabs.f64 (-.f64 x y))
3.0ms	(-.f64 x y)
3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
61.0%	3	`(-.f64 x y)`
61.0%	3	`(fabs.f64 (-.f64 x y))`
61.0%	3	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
82.6%	2	`x`
84.7%	2	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes2.0ms (0.2%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
84.7%	2	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.4%)

Memory

-37.1MiB live, 9.7MiB allocated; 4ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
84.4%	2	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.6%)

Memory

36.3MiB live, 36.3MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
52.4%	1	`(fabs.f64 (-.f64 x y))`
52.4%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
52.4%	1	`(-.f64 x y)`
52.4%	1	`x`
52.4%	1	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes8.0ms (0.6%)

Memory

-20.8MiB live, 26.3MiB allocated; 3ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	x
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	(fabs.f64 (-.f64 x y))
1.0ms	y
1.0ms	(-.f64 x y)

Results

Accuracy	Segments	Branch
1.6%	1	`(fabs.f64 (-.f64 x y))`
1.6%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
1.6%	1	`y`
1.6%	1	`x`
1.6%	1	`(-.f64 x y)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch12.0ms (0.9%)

Memory

-10.9MiB live, 35.8MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.963610942891383e-119	5.57607496557249e-116

Samples

4.0ms

128×

valid

Compiler

Compiled 128 to 146 computations (-14.1% saved)

Precisions

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

ival-fabs: 1.0ms (52.8% of total)

ival-sqrt: 1.0ms (52.8% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.963610942891383e-119	5.57607496557249e-116

Compiler

Compiled 104 to 122 computations (-17.3% saved)

bsearch4.0ms (0.3%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	2.1081593151412973e-128	2.9980812292450066e-128

Samples

2.0ms

48×

valid

Compiler

Compiled 41 to 49 computations (-19.5% saved)

Precisions

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

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

adjust: 0.0ms (0% of total)

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

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

derivations145.0ms (10.8%)

Memory

-0.6MiB live, 188.3MiB allocated; 31ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 34 to 28 computations (17.6% saved)

preprocess91.0ms (6.8%)

Memory: -11.2MiB live, 132.5MiB allocated; 15ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 149 to 137 computations (8.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample541.0ms (40.1%)

preprocess83.0ms (6.2%)

series4.0ms (0.3%)

rewrite139.0ms (10.3%)

eval19.0ms (1.4%)

prune3.0ms (0.3%)

series13.0ms (0.9%)

rewrite83.0ms (6.1%)

eval8.0ms (0.6%)

prune28.0ms (2.1%)

series10.0ms (0.8%)

rewrite83.0ms (6.1%)

eval12.0ms (0.9%)

prune5.0ms (0.3%)

regimes21.0ms (1.6%)

regimes21.0ms (1.6%)

regimes2.0ms (0.2%)

regimes5.0ms (0.4%)

regimes8.0ms (0.6%)

regimes8.0ms (0.6%)

bsearch12.0ms (0.9%)

bsearch1.0ms (0%)

bsearch4.0ms (0.3%)

derivations145.0ms (10.8%)

preprocess91.0ms (6.8%)

end0.0ms (0%)

Profiling