Metrics for Data.Octree.Internal:octantDistance from Octree-0.5.4.2

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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 10 to 5 computations (50% saved)

sample665.0ms (17.6%)

Memory

50.9MiB live, 799.2MiB allocated; 236ms collecting garbage

Samples

452.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-hypot: 155.0ms (99.1% of total)

adjust: 2.0ms (1.3% of total)

Bogosity

preprocess105.0ms (2.8%)

Memory

-36.8MiB live, 61.4MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	50
1	53	50
2	125	50
3	175	50
4	399	50
5	1995	50
6	4647	50

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.7%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

Symmetry

(abs x)

(abs y)

(sort x y)

Compiler

Compiled 12 to 12 computations (0% saved)

series6.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

6 → 31

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y

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

Calls

6 calls:

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

rewrite715.0ms (19%)

Memory

23.2MiB live, 408.8MiB allocated; 231ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	742
0	146	722
1	412	722
2	2000	690
0	8523	688
0	45168	528

Stop Event

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

Counts

37 → 478

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y))) (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y))) (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) x)))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y))) (sqrt.f64 (.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y))) (sqrt.f64 (.f64 x (neg.f64 (fabs.f64 x)))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y))) (sqrt.f64 (.f64 (neg.f64 x) (fabs.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y))) (sqrt.f64 (.f64 (fabs.f64 x) (neg.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y))) (sqrt.f64 (.f64 x (fabs.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y))) (sqrt.f64 (.f64 (fabs.f64 x) x)))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y))) (neg.f64 (fabs.f64 x)))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y))) (fabs.f64 x))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y))) (neg.f64 x))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y))) x)
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 y)) y)) (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 y)) y)) (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) x)))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 y)) y)) (sqrt.f64 (.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 y)) y)) (sqrt.f64 (.f64 x (neg.f64 (fabs.f64 x)))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 y)) y)) (sqrt.f64 (.f64 (neg.f64 x) (fabs.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 y)) y)) (sqrt.f64 (.f64 (fabs.f64 x) (neg.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 y)) y)) (sqrt.f64 (.f64 x (fabs.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 y)) y)) (sqrt.f64 (.f64 (fabs.f64 x) x)))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 y)) y)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 y)) y)) (fabs.f64 x))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 y)) y)) (neg.f64 x))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 y)) y)) x)
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 y) (neg.f64 (fabs.f64 y)))) (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 y) (neg.f64 (fabs.f64 y)))) (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) x)))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 y) (neg.f64 (fabs.f64 y)))) (sqrt.f64 (.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 y) (neg.f64 (fabs.f64 y)))) (sqrt.f64 (.f64 x (neg.f64 (fabs.f64 x)))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 y) (neg.f64 (fabs.f64 y)))) (sqrt.f64 (.f64 (neg.f64 x) (fabs.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 y) (neg.f64 (fabs.f64 y)))) (sqrt.f64 (.f64 (fabs.f64 x) (neg.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 y) (neg.f64 (fabs.f64 y)))) (sqrt.f64 (.f64 x (fabs.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 y) (neg.f64 (fabs.f64 y)))) (sqrt.f64 (.f64 (fabs.f64 x) x)))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 y) (neg.f64 (fabs.f64 y)))) (neg.f64 (fabs.f64 x)))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 y) (neg.f64 (fabs.f64 y)))) (fabs.f64 x))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 y) (neg.f64 (fabs.f64 y)))) (neg.f64 x))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 y) (neg.f64 (fabs.f64 y)))) x)
(hypot.f64 (sqrt.f64 (.f64 y (neg.f64 (fabs.f64 y)))) (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 y (neg.f64 (fabs.f64 y)))) (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) x)))
(hypot.f64 (sqrt.f64 (.f64 y (neg.f64 (fabs.f64 y)))) (sqrt.f64 (.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(hypot.f64 (sqrt.f64 (.f64 y (neg.f64 (fabs.f64 y)))) (sqrt.f64 (.f64 x (neg.f64 (fabs.f64 x)))))
(hypot.f64 (sqrt.f64 (.f64 y (neg.f64 (fabs.f64 y)))) (sqrt.f64 (.f64 (neg.f64 x) (fabs.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 y (neg.f64 (fabs.f64 y)))) (sqrt.f64 (.f64 (fabs.f64 x) (neg.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 y (neg.f64 (fabs.f64 y)))) (sqrt.f64 (.f64 x (fabs.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 y (neg.f64 (fabs.f64 y)))) (sqrt.f64 (.f64 (fabs.f64 x) x)))
(hypot.f64 (sqrt.f64 (*.f64 y (neg.f64 (fabs.f64 y)))) (neg.f64 (fabs.f64 x)))
(hypot.f64 (sqrt.f64 (*.f64 y (neg.f64 (fabs.f64 y)))) (fabs.f64 x))
(hypot.f64 (sqrt.f64 (*.f64 y (neg.f64 (fabs.f64 y)))) (neg.f64 x))
(hypot.f64 (sqrt.f64 (*.f64 y (neg.f64 (fabs.f64 y)))) x)
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 y) (fabs.f64 y))) (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 y) (fabs.f64 y))) (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) x)))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 y) (fabs.f64 y))) (sqrt.f64 (.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 y) (fabs.f64 y))) (sqrt.f64 (.f64 x (neg.f64 (fabs.f64 x)))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 y) (fabs.f64 y))) (sqrt.f64 (.f64 (neg.f64 x) (fabs.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 y) (fabs.f64 y))) (sqrt.f64 (.f64 (fabs.f64 x) (neg.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 y) (fabs.f64 y))) (sqrt.f64 (.f64 x (fabs.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 (neg.f64 y) (fabs.f64 y))) (sqrt.f64 (.f64 (fabs.f64 x) x)))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 y) (fabs.f64 y))) (neg.f64 (fabs.f64 x)))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 y) (fabs.f64 y))) (fabs.f64 x))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 y) (fabs.f64 y))) (neg.f64 x))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 y) (fabs.f64 y))) x)
(hypot.f64 (sqrt.f64 (.f64 (fabs.f64 y) (neg.f64 y))) (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 (fabs.f64 y) (neg.f64 y))) (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) x)))
(hypot.f64 (sqrt.f64 (.f64 (fabs.f64 y) (neg.f64 y))) (sqrt.f64 (.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(hypot.f64 (sqrt.f64 (.f64 (fabs.f64 y) (neg.f64 y))) (sqrt.f64 (.f64 x (neg.f64 (fabs.f64 x)))))
(hypot.f64 (sqrt.f64 (.f64 (fabs.f64 y) (neg.f64 y))) (sqrt.f64 (.f64 (neg.f64 x) (fabs.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 (fabs.f64 y) (neg.f64 y))) (sqrt.f64 (.f64 (fabs.f64 x) (neg.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 (fabs.f64 y) (neg.f64 y))) (sqrt.f64 (.f64 x (fabs.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 (fabs.f64 y) (neg.f64 y))) (sqrt.f64 (.f64 (fabs.f64 x) x)))
(hypot.f64 (sqrt.f64 (*.f64 (fabs.f64 y) (neg.f64 y))) (neg.f64 (fabs.f64 x)))
(hypot.f64 (sqrt.f64 (*.f64 (fabs.f64 y) (neg.f64 y))) (fabs.f64 x))
(hypot.f64 (sqrt.f64 (*.f64 (fabs.f64 y) (neg.f64 y))) (neg.f64 x))
(hypot.f64 (sqrt.f64 (*.f64 (fabs.f64 y) (neg.f64 y))) x)
(hypot.f64 (sqrt.f64 (.f64 y (fabs.f64 y))) (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 y (fabs.f64 y))) (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) x)))
(hypot.f64 (sqrt.f64 (.f64 y (fabs.f64 y))) (sqrt.f64 (.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(hypot.f64 (sqrt.f64 (.f64 y (fabs.f64 y))) (sqrt.f64 (.f64 x (neg.f64 (fabs.f64 x)))))
(hypot.f64 (sqrt.f64 (.f64 y (fabs.f64 y))) (sqrt.f64 (.f64 (neg.f64 x) (fabs.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 y (fabs.f64 y))) (sqrt.f64 (.f64 (fabs.f64 x) (neg.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 y (fabs.f64 y))) (sqrt.f64 (.f64 x (fabs.f64 x))))
(hypot.f64 (sqrt.f64 (.f64 y (fabs.f64 y))) (sqrt.f64 (.f64 (fabs.f64 x) x)))
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(hypot.f64 (sqrt.f64 (*.f64 y (fabs.f64 y))) (fabs.f64 x))
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eval87.0ms (2.3%)

Memory: -9.9MiB live, 83.5MiB allocated; 25ms collecting garbage
Compiler: Compiled 3 353 to 904 computations (73% saved)

prune61.0ms (1.6%)

Memory

-21.0MiB live, 24.8MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	461	6	467
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	462	6	468

Accuracy

100.0%

Counts

468 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 y x)
	50.7%	(sqrt.f64 (fma.f64 y y (*.f64 x x)))
▶	1.0%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
▶	1.7%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
▶	99.1%	#s(approx (sqrt (+ (* x x) (* y y))) y)
▶	4.9%	#s(approx (sqrt (+ (* x x) (* y y))) x)

Compiler

Compiled 76 to 76 computations (0% saved)

series4.0ms (0.1%)

Memory

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

Counts

9 → 48

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite614.0ms (16.3%)

Memory

31.1MiB live, 545.4MiB allocated; 97ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	1199
0	162	1027
1	412	1027
2	1919	967
0	8252	967
0	39022	895

Stop Event

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

Counts

57 → 716

Calls

Call 1

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

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

eval107.0ms (2.9%)

Memory: -38.1MiB live, 88.2MiB allocated; 27ms collecting garbage
Compiler: Compiled 4 891 to 837 computations (82.9% saved)

prune16.0ms (0.4%)

Memory

-9.4MiB live, 35.1MiB allocated; 7ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	678	1	679
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	678	7	685

Accuracy

100.0%

Counts

685 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 y x)
▶	50.7%	(sqrt.f64 (fma.f64 y y (*.f64 x x)))
▶	99.5%	#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y))
✓	1.0%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
✓	1.7%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
✓	99.1%	#s(approx (sqrt (+ (* x x) (* y y))) y)
✓	4.9%	#s(approx (sqrt (+ (* x x) (* y y))) x)

Compiler

Compiled 49 to 49 computations (0% saved)

series11.0ms (0.3%)

Memory

24.5MiB live, 24.5MiB allocated; 0ms collecting garbage

Counts

10 → 61

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)

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

Calls

6 calls:

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

rewrite300.0ms (8%)

Memory

19.7MiB live, 396.8MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	1509
0	204	1440
1	507	1439
2	2317	1381
0	8629	1125

Stop Event

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

Counts

71 → 1 390

Calls

Call 1

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

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

eval255.0ms (6.8%)

Memory: 2.7MiB live, 238.6MiB allocated; 31ms collecting garbage
Compiler: Compiled 8 972 to 2 222 computations (75.2% saved)

prune68.0ms (1.8%)

Memory

-4.1MiB live, 42.2MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	1 359	0	1 359
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	1 359	7	1 366

Accuracy

100.0%

Counts

1 366 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 y x)
✓	50.7%	(sqrt.f64 (fma.f64 y y (*.f64 x x)))
✓	99.5%	#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y))
✓	1.0%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
✓	1.7%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
✓	99.1%	#s(approx (sqrt (+ (* x x) (* y y))) y)
✓	4.9%	#s(approx (sqrt (+ (* x x) (* y y))) x)

Compiler

Compiled 90 to 73 computations (18.9% saved)

regimes130.0ms (3.4%)

Memory

-41.9MiB live, 20.4MiB allocated; 15ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (* y y))) x)
#s(approx (sqrt (+ (* x x) (* y y))) y)
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y))
(hypot.f64 y x)

Outputs
(hypot.f64 y x)

Calls

6 calls:

117.0ms	(+.f64 (.f64 x x) (.f64 y y))
3.0ms	y
3.0ms	x
2.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 y y)`
100.0%	1	`(*.f64 x x)`
100.0%	1	`(+.f64 (.f64 x x) (.f64 y y))`
100.0%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes14.0ms (0.4%)

Memory

24.2MiB live, 24.2MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (* y y))) x)
#s(approx (sqrt (+ (* x x) (* y y))) y)
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y))

Outputs
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y))

Calls

6 calls:

2.0ms	y
2.0ms	x
2.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
2.0ms	(+.f64 (.f64 x x) (.f64 y y))
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
99.5%	1	`(*.f64 y y)`
99.5%	1	`(*.f64 x x)`
99.5%	1	`(+.f64 (.f64 x x) (.f64 y y))`
99.5%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))`
99.5%	1	`x`
99.5%	1	`y`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes51.0ms (1.4%)

Memory

-13.7MiB live, 28.0MiB allocated; 10ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (* x x) (* y y))) y)

Calls

6 calls:

41.0ms	(+.f64 (.f64 x x) (.f64 y y))
2.0ms	y
2.0ms	x
2.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
99.1%	1	`(*.f64 y y)`
99.1%	1	`(*.f64 x x)`
99.1%	1	`(+.f64 (.f64 x x) (.f64 y y))`
99.1%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))`
99.1%	1	`x`
99.1%	1	`y`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes6.0ms (0.2%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (* y y))) x)

Outputs
#s(approx (sqrt (+ (* x x) (* y y))) x)

Calls

6 calls:

1.0ms	y
1.0ms	x
1.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
1.0ms	(+.f64 (.f64 x x) (.f64 y y))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
4.9%	1	`(*.f64 y y)`
4.9%	1	`(*.f64 x x)`
4.9%	1	`(+.f64 (.f64 x x) (.f64 y y))`
4.9%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))`
4.9%	1	`x`
4.9%	1	`y`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

derivations490.0ms (13%)

Memory

-14.2MiB live, 167.3MiB allocated; 36ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess62.0ms (1.7%)

Memory

41.6MiB live, 186.5MiB allocated; 17ms collecting garbage

Remove

(abs y)

(sort x y)

Compiler

Compiled 238 to 230 computations (3.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample665.0ms (17.6%)

preprocess105.0ms (2.8%)

series6.0ms (0.2%)

rewrite715.0ms (19%)

eval87.0ms (2.3%)

prune61.0ms (1.6%)

series4.0ms (0.1%)

rewrite614.0ms (16.3%)

eval107.0ms (2.9%)

prune16.0ms (0.4%)

series11.0ms (0.3%)

rewrite300.0ms (8%)

eval255.0ms (6.8%)

prune68.0ms (1.8%)

regimes130.0ms (3.4%)

regimes14.0ms (0.4%)

regimes51.0ms (1.4%)

regimes6.0ms (0.2%)

derivations490.0ms (13%)

preprocess62.0ms (1.7%)

end0.0ms (0%)

Profiling