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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

sample745.0ms (48.3%)

Memory

14.7MiB live, 812.5MiB allocated; 214ms collecting garbage

Samples

550.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 272.0ms

ival-sqrt: 100.0ms (36.7% of total)

ival-fabs: 95.0ms (34.9% of total)

ival-sub!: 75.0ms (27.5% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess79.0ms (5.1%)

Memory

-27.7MiB live, 17.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	36
1	39	32
2	98	32
3	260	32
4	505	32
5	844	32
6	1243	32
7	1578	32
8	1635	32
9	1714	32
10	2747	32
11	4349	32
12	7918	32

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 (0.2%)

Memory

8.1MiB live, 8.1MiB 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	@	inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) x y)
1.0ms	y	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) x y)
0.0ms	x	@	0	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) x y)

rewrite217.0ms (14.1%)

Memory

12.3MiB live, 242.2MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	170
0	52	154
1	208	152
2	1575	135
0	9437	135

Stop Event

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

Counts

21 → 229

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

eval9.0ms (0.6%)

Memory: 26.4MiB live, 26.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 265 to 394 computations (68.9% saved)

prune9.0ms (0.6%)

Memory

-51.9MiB live, 10.7MiB allocated; 7ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	121	5	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	5	127

Accuracy

100.0%

Counts

127 → 5

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))
▶	89.5%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))))
▶	52.8%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))))
▶	52.7%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) x)))

Compiler

Compiled 68 to 68 computations (0% saved)

series18.0ms (1.2%)

Memory

43.5MiB live, 43.5MiB allocated; 0ms collecting garbage

Counts

20 → 86

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((sqrt (- y x)) (- y x) y x (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (neg y) (sqrt (- x y)) (- x y) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) 1)
4.0ms	x	@	inf	((sqrt (- y x)) (- y x) y x (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (neg y) (sqrt (- x y)) (- x y) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) 1)
3.0ms	y	@	-inf	((sqrt (- y x)) (- y x) y x (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (neg y) (sqrt (- x y)) (- x y) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) 1)
2.0ms	y	@	inf	((sqrt (- y x)) (- y x) y x (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (neg y) (sqrt (- x y)) (- x y) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) 1)
2.0ms	x	@	0	((sqrt (- y x)) (- y x) y x (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (neg y) (sqrt (- x y)) (- x y) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) 1)

rewrite90.0ms (5.9%)

Memory

-42.5MiB live, 155.7MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	414	2146
0	428	1846
0	2158	1778

Stop Event

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

Counts

106 → 148

Calls

Call 1

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

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

eval11.0ms (0.7%)

Memory: 29.3MiB live, 29.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 308 to 577 computations (55.9% saved)

prune5.0ms (0.3%)

Memory

-34.6MiB live, 12.5MiB allocated; 1ms collecting garbage

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	121	5	126
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	124	7	131

Accuracy

100.0%

Counts

131 → 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))
▶	51.0%	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
▶	51.4%	(sqrt.f64 #s(approx (- y x) y))
▶	0.0%	(sqrt.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
▶	1.4%	(sqrt.f64 #s(approx (- x y) (neg.f64 y)))
▶	1.6%	(sqrt.f64 #s(approx (- x y) x))

Compiler

Compiled 70 to 70 computations (0% saved)

series8.0ms (0.5%)

Memory

20.7MiB live, 20.7MiB allocated; 0ms collecting garbage

Counts

18 → 78

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite72.0ms (4.7%)

Memory

-5.7MiB live, 88.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	393	2013
0	405	1739
0	2089	1671

Stop Event

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

Counts

96 → 111

Calls

Call 1

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

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

eval7.0ms (0.4%)

Memory: 19.9MiB live, 19.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 070 to 442 computations (58.7% saved)

prune5.0ms (0.3%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	5	5
Done	0	2	2
Total	91	7	98

Accuracy

100.0%

Counts

98 → 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))
✓	51.0%	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
✓	51.4%	(sqrt.f64 #s(approx (- y x) y))
✓	0.0%	(sqrt.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
✓	1.4%	(sqrt.f64 #s(approx (- x y) (neg.f64 y)))
✓	1.6%	(sqrt.f64 #s(approx (- x y) x))

Compiler

Compiled 88 to 75 computations (14.8% saved)

regimes22.0ms (1.4%)

Memory

-6.3MiB live, 43.6MiB allocated; 3ms collecting garbage

Counts

11 → 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)))
(sqrt.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))))

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

Calls

5 calls:

7.0ms	y
4.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
4.0ms	(-.f64 x y)
4.0ms	(fabs.f64 (-.f64 x 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)

regimes15.0ms (1%)

Memory

-19.0MiB live, 28.0MiB allocated; 1ms 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 #s(approx (- y x) (neg.f64 x)))
(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))))

Calls

5 calls:

4.0ms	x
3.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
3.0ms	(fabs.f64 (-.f64 x y))
3.0ms	(-.f64 x y)
3.0ms	y

Results

Accuracy	Segments	Branch
65.2%	3	`(-.f64 x y)`
65.2%	3	`(fabs.f64 (-.f64 x y))`
65.2%	3	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
85.6%	2	`x`
84.7%	2	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes2.0ms (0.2%)

Memory

4.9MiB live, 4.9MiB 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 #s(approx (- y x) (neg.f64 x)))
(sqrt.f64 #s(approx (- y x) y))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
85.5%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.5%)

Memory

22.3MiB live, 22.3MiB 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	(sqrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms	y
2.0ms	(fabs.f64 (-.f64 x y))
2.0ms	x
2.0ms	(-.f64 x y)

Results

Accuracy	Segments	Branch
51.4%	1	`(fabs.f64 (-.f64 x y))`
51.4%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
51.4%	1	`(-.f64 x y)`
51.4%	1	`y`
51.4%	1	`x`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes6.0ms (0.4%)

Memory

-32.6MiB live, 14.6MiB allocated; 1ms 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:

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

Results

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

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch11.0ms (0.7%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-4.435654158463776e-135	-1.939721091748206e-140

Samples

5.0ms

144×

valid

Compiler

Compiled 134 to 154 computations (-14.9% saved)

Precisions

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

ival-fabs: 1.0ms (46.2% of total)

ival-sqrt: 1.0ms (46.2% of total)

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

adjust: 0.0ms (0% of total)

bsearch7.0ms (0.5%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-4.435654158463776e-135	-1.939721091748206e-140

Samples

3.0ms

96×

valid

Compiler

Compiled 107 to 127 computations (-18.7% saved)

Precisions

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

ival-fabs: 1.0ms (69.1% of total)

ival-sqrt: 1.0ms (69.1% of total)

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

adjust: 0.0ms (0% of total)

derivations119.0ms (7.7%)

Memory

-28.9MiB live, 113.2MiB allocated; 11ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 26 to 24 computations (7.7% saved)

preprocess72.0ms (4.7%)

Memory: 3.1MiB live, 89.7MiB allocated; 20ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 113 to 109 computations (3.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample745.0ms (48.3%)

preprocess79.0ms (5.1%)

series4.0ms (0.2%)

rewrite217.0ms (14.1%)

eval9.0ms (0.6%)

prune9.0ms (0.6%)

series18.0ms (1.2%)

rewrite90.0ms (5.9%)

eval11.0ms (0.7%)

prune5.0ms (0.3%)

series8.0ms (0.5%)

rewrite72.0ms (4.7%)

eval7.0ms (0.4%)

prune5.0ms (0.3%)

regimes22.0ms (1.4%)

regimes15.0ms (1%)

regimes2.0ms (0.2%)

regimes8.0ms (0.5%)

regimes6.0ms (0.4%)

bsearch11.0ms (0.7%)

bsearch7.0ms (0.5%)

derivations119.0ms (7.7%)

preprocess72.0ms (4.7%)

end0.0ms (0%)

Profiling