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

0.4MiB live, 0.4MiB 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)

sample3.2s (67.7%)

Memory

-206.5MiB live, 688.9MiB allocated; 3.0s collecting garbage

Samples

3.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

ival-hypot: 209.0ms (99.2% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

preprocess110.0ms (2.3%)

Memory

-29.8MiB live, 61.1MiB allocated; 12ms 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
▶	55.2%	(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 (0.1%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Counts

6 → 27

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 (+ 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) (+ 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 (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	y	@	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	@	-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)

rewrite257.0ms (5.5%)

Memory

16.8MiB live, 154.6MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	711
0	143	691
1	736	691
0	7638	537

Stop Event

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

Counts

33 → 423

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 (+ 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) (+ 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 (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 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))
(pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (hypot.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x x))))))
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(hypot.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (neg.f64 (neg.f64 y)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (exp.f64 (log.f64 y)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 y))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) y)
(hypot.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (neg.f64 y)))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (exp.f64 (log.f64 y)))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (fabs.f64 y))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(hypot.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (neg.f64 (neg.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (exp.f64 (log.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 x))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (neg.f64 x))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) x)
(hypot.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (neg.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (exp.f64 (log.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (fabs.f64 x))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) x)
(hypot.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (neg.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 y))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 y))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) y)
(hypot.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (neg.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (fabs.f64 y))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) y)
(hypot.f64 (.f64 (fabs.f64 y) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (.f64 (fabs.f64 y) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (.f64 (fabs.f64 y) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 (.f64 (fabs.f64 y) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (exp.f64 (log.f64 x)))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (fabs.f64 x))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (neg.f64 x))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) x)
(hypot.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (exp.f64 (log.f64 x)))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (fabs.f64 x))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 x))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(hypot.f64 (fabs.f64 (fabs.f64 y)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (neg.f64 (neg.f64 x)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (exp.f64 (log.f64 x)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 x))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (neg.f64 x))
(hypot.f64 (fabs.f64 (fabs.f64 y)) x)
(hypot.f64 (fabs.f64 (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (fabs.f64 (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
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(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
(.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) y)
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 y (.f64 #s(literal -1 binary64) (neg.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
y
#s(approx (sqrt (+ (* x x) (* y y))) y)
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 y y) y)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x y))
#s(approx (sqrt (+ (* x x) (* y y))) (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 (+ (* x x) (* y y)) (*.f64 y y))
#s(approx (+ (* x x) (* y y)) (fma.f64 y y (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x 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 (.f64 y y) #s(literal 1/2 binary64)) (*.f64 x x))) x x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.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 (pow.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (*.f64 x x)))) x))
#s(approx (+ (* x x) (* y y)) (.f64 (.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (* y y))) (.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 (+ (* x x) (* y y))) (.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 (+ (* x x) (* y y))) (neg.f64 (fma.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 (pow.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (*.f64 x x)))) x)))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (.f64 (fma.f64 (.f64 y (/.f64 y (.f64 (.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #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 (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 (+ (* x x) (* y y))) (.f64 (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))) (.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 (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 3 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/2 binary64)))) y))
#s(approx (+ (* x x) (* y y)) (.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) y) y))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
#s(approx (sqrt (+ (* x x) (* y y))) (.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 (+ (* x x) (* y y))) (.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 (+ (* x x) (* y y))) (neg.f64 (fma.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 (pow.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 3 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/2 binary64)))) y)))

eval62.0ms (1.3%)

Memory: -10.4MiB live, 34.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 399 to 806 computations (66.4% saved)

prune8.0ms (0.2%)

Memory

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

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	411	7	418
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	412	7	419

Accuracy

100.0%

Counts

419 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 y x)
	55.2%	(sqrt.f64 (fma.f64 y y (*.f64 x x)))
▶	55.0%	(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
	6.1%	#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x))
▶	1.1%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
▶	1.8%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
▶	99.0%	#s(approx (sqrt (+ (* x x) (* y y))) y)

Compiler

Compiled 100 to 100 computations (0% saved)

series5.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

11 → 27

Calls

Call 1

Inputs
(hypot.f64 y x)
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)
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
(*.f64 y 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 (neg x) #s(hole binary64 (* -1 x)))
#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 (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 (+ (* 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 (+ (* 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 (+ (* 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 (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 (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#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
1.0ms	y	@	-inf	((sqrt (+ (* y y) (* x x))) y x (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (neg x) (sqrt (+ (* x x) (* y y))) (neg y) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y))
1.0ms	x	@	-inf	((sqrt (+ (* y y) (* x x))) y x (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (neg x) (sqrt (+ (* x x) (* y y))) (neg y) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y))
1.0ms	y	@	inf	((sqrt (+ (* y y) (* x x))) y x (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (neg x) (sqrt (+ (* x x) (* y y))) (neg y) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y))
1.0ms	x	@	inf	((sqrt (+ (* y y) (* x x))) y x (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (neg x) (sqrt (+ (* x x) (* y y))) (neg y) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y))
0.0ms	y	@	0	((sqrt (+ (* y y) (* x x))) y x (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (neg x) (sqrt (+ (* x x) (* y y))) (neg y) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y))

rewrite229.0ms (4.9%)

Memory

-42.2MiB live, 303.4MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	652
0	152	617
1	759	617
0	7810	571

Stop Event

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

Counts

38 → 329

Calls

Call 1

Inputs
(hypot.f64 y x)
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)
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
(*.f64 y 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 (neg x) #s(hole binary64 (* -1 x)))
#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 (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 (+ (* 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 (+ (* 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 (+ (* 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 (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 (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#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
(.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 (sqrt.f64 (fma.f64 x x (*.f64 y y))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 y x) (-.f64 y x)))) (sqrt.f64 (.f64 (+.f64 y x) (-.f64 y x))))
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(hypot.f64 x (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 x (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 x (fabs.f64 (fabs.f64 y)))
(hypot.f64 x (neg.f64 (fabs.f64 y)))
(hypot.f64 x (neg.f64 (neg.f64 y)))
(hypot.f64 x (exp.f64 (log.f64 y)))
(hypot.f64 x (fabs.f64 y))
(hypot.f64 x (neg.f64 y))
(hypot.f64 x y)
(hypot.f64 y (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 y (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 y (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 y (fabs.f64 (fabs.f64 x)))
(hypot.f64 y (neg.f64 (fabs.f64 x)))
(hypot.f64 y (neg.f64 (neg.f64 x)))
(hypot.f64 y (exp.f64 (log.f64 x)))
(hypot.f64 y (fabs.f64 x))
(hypot.f64 y (neg.f64 x))
(hypot.f64 y x)
(exp.f64 (.f64 (log.f64 (fma.f64 x x (.f64 y y))) #s(literal 1/2 binary64)))
y
x
#s(approx (sqrt (+ (* x x) (* y y))) y)
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
(.f64 (pow.f64 #s(approx (+ ( x x) (* y y)) (.f64 y y)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ ( x x) (* y y)) (*.f64 y y)) #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1 binary64))
(pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))
(exp.f64 (.f64 (log.f64 #s(approx (+ ( x x) (* y y)) (*.f64 y y))) #s(literal 1/2 binary64)))
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
(.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) y)
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 y (.f64 #s(literal -1 binary64) (neg.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) y)
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 y y) y)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x y))
#s(approx (sqrt (+ (* x x) (* y y))) (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 x x)
#s(approx (neg x) (neg.f64 x))
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
#s(approx (+ (* x x) (* y y)) (fma.f64 x x (*.f64 y y)))
#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 (.f64 y y) #s(literal 1/2 binary64)) (*.f64 x x))) x x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.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 (pow.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (*.f64 x x)))) x))
#s(approx (+ (* x x) (* y y)) (*.f64 x x))
#s(approx (+ (* x x) (* y y)) (.f64 (.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x))
#s(approx (sqrt (+ (* x x) (* y y))) (.f64 (fma.f64 (.f64 y (/.f64 y (*.f64 x x))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (sqrt (+ (* x x) (* y y))) (.f64 (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))) (neg.f64 x)))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 (fma.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 (pow.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (*.f64 x x)))) x)))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (.f64 (fma.f64 (.f64 y (/.f64 y (.f64 (.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #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 (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 (neg y) (neg.f64 y))
#s(approx (sqrt (+ (* x x) (* y y))) (.f64 (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))) (.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 (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 3 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/2 binary64)))) y))
#s(approx (+ (* x x) (* y y)) (.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) y) y))
#s(approx (sqrt (+ (* x x) (* y y))) (.f64 (fma.f64 (.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 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))) (neg.f64 y)))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 (fma.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 (pow.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 3 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/2 binary64)))) y)))

eval85.0ms (1.8%)

Memory: 10.1MiB live, 54.5MiB allocated; 7ms collecting garbage
Compiler: Compiled 1 680 to 548 computations (67.4% saved)

prune6.0ms (0.1%)

Memory

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

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	315	1	316
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	316	7	323

Accuracy

100.0%

Counts

323 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 y x)
▶	55.2%	(sqrt.f64 (fma.f64 y y (*.f64 x x)))
▶	4.5%	(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 x x)))
▶	6.1%	#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x))
✓	1.1%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
✓	1.8%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
✓	99.0%	#s(approx (sqrt (+ (* x x) (* y y))) y)

Compiler

Compiled 50 to 50 computations (0% saved)

series8.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Counts

12 → 32

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x)
(/.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 1/2 binary64)
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 x x)))
#s(approx (+ (* x x) (* y y)) (*.f64 x x))
(*.f64 x x)
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.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 (+ (* (/ (* y y) x) 1/2) x) #s(hole binary64 (* 1/2 (/ (pow y 2) x))))
#s(approx (+ (* (/ (* y y) x) 1/2) x) #s(hole binary64 (/ (+ (* 1/2 (pow y 2)) (pow x 2)) x)))
#s(approx (/ (* y y) x) #s(hole binary64 (/ (pow y 2) x)))
#s(approx x #s(hole binary64 x))
#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 (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) (+ 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 (+ (* (/ (* y y) x) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (pow y 2) (pow x 2))) 1)))))
#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 (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 (+ (* (/ (* y y) x) 1/2) x) #s(hole binary64 (* (pow y 2) (+ (* 1/2 (/ 1 x)) (/ x (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	@	0	((sqrt (+ (* x x) (* y y))) (+ (* (/ (* y y) x) 1/2) x) (/ (* y y) x) (* y y) y x 1/2 (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* x x) (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)))
1.0ms	x	@	-inf	((sqrt (+ (* x x) (* y y))) (+ (* (/ (* y y) x) 1/2) x) (/ (* y y) x) (* y y) y x 1/2 (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* x x) (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)))
1.0ms	y	@	inf	((sqrt (+ (* x x) (* y y))) (+ (* (/ (* y y) x) 1/2) x) (/ (* y y) x) (* y y) y x 1/2 (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* x x) (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)))
1.0ms	x	@	inf	((sqrt (+ (* x x) (* y y))) (+ (* (/ (* y y) x) 1/2) x) (/ (* y y) x) (* y y) y x 1/2 (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* x x) (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)))
1.0ms	y	@	-inf	((sqrt (+ (* x x) (* y y))) (+ (* (/ (* y y) x) 1/2) x) (/ (* y y) x) (* y y) y x 1/2 (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* x x) (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)))

rewrite202.0ms (4.3%)

Memory

-19.0MiB live, 301.1MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	858
0	173	805
1	855	803
0	8495	674

Stop Event

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

Counts

44 → 511

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x)
(/.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 1/2 binary64)
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 x x)))
#s(approx (+ (* x x) (* y y)) (*.f64 x x))
(*.f64 x x)
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.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 (+ (* (/ (* y y) x) 1/2) x) #s(hole binary64 (* 1/2 (/ (pow y 2) x))))
#s(approx (+ (* (/ (* y y) x) 1/2) x) #s(hole binary64 (/ (+ (* 1/2 (pow y 2)) (pow x 2)) x)))
#s(approx (/ (* y y) x) #s(hole binary64 (/ (pow y 2) x)))
#s(approx x #s(hole binary64 x))
#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 (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) (+ 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 (+ (* (/ (* y y) x) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (pow y 2) (pow x 2))) 1)))))
#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 (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 (+ (* (/ (* y y) x) 1/2) x) #s(hole binary64 (* (pow y 2) (+ (* 1/2 (/ 1 x)) (/ x (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
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y x))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 y x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (.f64 (/.f64 y x) y) (.f64 (/.f64 y x) y)) #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 y x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 x x)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 x x)))) (neg.f64 (-.f64 x (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 (.f64 (/.f64 y x) y) (.f64 (/.f64 y x) y)) #s(literal 1/4 binary64) (.f64 x (-.f64 x (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) x)))))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 x x)) (.f64 x x)) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) x))
(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 x x))) (-.f64 x (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y)))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 y x) y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (/.f64 y x) y) (.f64 (/.f64 y x) y)) #s(literal 1/4 binary64) (.f64 x (-.f64 x (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y)))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) #s(literal 3 binary64))) (fma.f64 x x (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) x))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 y)) (fabs.f64 y) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 y)) (neg.f64 y) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) y x)
(fma.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x)
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 y y) #s(literal 1/2 binary64)) x)
(fma.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) #s(literal 1 binary64) x)
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y y)) x)
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) y) x)
(fma.f64 y (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x)
(fma.f64 y (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x)
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 x x)) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))) (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 x x)) (-.f64 x (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))))
(-.f64 x (.f64 (neg.f64 (.f64 (/.f64 y x) y)) #s(literal 1/2 binary64)))
(-.f64 x (.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (/.f64 y x) y) (.f64 (/.f64 y x) y)) #s(literal 1/4 binary64) (.f64 x (-.f64 x (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 (/.f64 y x) y) (.f64 (/.f64 y x) y)) #s(literal 1/4 binary64) (.f64 x (-.f64 x (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))))))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) x)))) (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) #s(literal 3 binary64)) (fma.f64 x x (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) x)))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y) x)
(+.f64 x (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))
(*.f64 (/.f64 y x) y)
(*.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) x))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) x))
(*.f64 y (/.f64 y x))
(/.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (*.f64 (neg.f64 y) y) x) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 x))
(/.f64 (*.f64 y y) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 y y) x)
(neg.f64 (/.f64 (*.f64 (neg.f64 y) y) x))
(neg.f64 (/.f64 (*.f64 y y) (neg.f64 x)))
(.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) y)
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 y (.f64 #s(literal -1 binary64) (neg.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
y
x
#s(literal 1/2 binary64)
(.f64 (pow.f64 #s(approx (+ ( x x) (* y y)) (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ ( x x) (* y y)) (*.f64 x x)) #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 x x))) #s(literal 1 binary64))
(pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 x x)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 x x)))
(exp.f64 (.f64 (log.f64 #s(approx (+ ( x x) (* y y)) (*.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (+ (* x x) (* y y)) (*.f64 x x))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(.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 (sqrt.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))
(pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (+.f64 y x) (-.f64 y x)))) (sqrt.f64 (.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (hypot.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (sqrt.f64 (fma.f64 (.f64 y y) (.f64 y y) (.f64 (.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y))))))
(/.f64 (hypot.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x))))))
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(hypot.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (neg.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 y))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 y))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) y)
(hypot.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (neg.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (fabs.f64 y))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) y)
(hypot.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (neg.f64 (neg.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (exp.f64 (log.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 x))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (neg.f64 x))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) x)
(hypot.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (neg.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (exp.f64 (log.f64 x)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (fabs.f64 x))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) x)
(hypot.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 y)))
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(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 x x))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y) (.f64 x x))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 (.f64 (fabs.f64 y) #s(literal 1 binary64)) (.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 (fabs.f64 y) #s(literal 1 binary64)) (.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 y y))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 y y))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y))
(fma.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64) (.f64 x x))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 y y))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 y y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y y))
(fma.f64 (fabs.f64 y) (.f64 (fabs.f64 y) #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (fabs.f64 y) (.f64 (fabs.f64 y) #s(literal 1 binary64)) (.f64 x x))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 y y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 x x))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y) (.f64 x x))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 y y))
(fma.f64 (.f64 y y) #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 y y) #s(literal 1 binary64) (.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 y y) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 #s(literal 1 binary64) (.f64 y y) (.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y y))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 y y))
(fma.f64 y (.f64 #s(literal -1 binary64) (neg.f64 y)) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (.f64 #s(literal -1 binary64) (neg.f64 y)) (.f64 x x))
(fma.f64 y y (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y y (*.f64 x x))
(fma.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 y y))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 x x (*.f64 y y))
(-.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (+.f64 y x) (-.f64 y x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))))
(-.f64 (.f64 y y) (.f64 (neg.f64 x) x))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) y))
(+.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) (.f64 y y) (.f64 (.f64 x x) (.f64 (+.f64 x y) (-.f64 x y))))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 y y) (.f64 y y) (.f64 (.f64 x x) (.f64 (+.f64 x y) (-.f64 x y))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x))))) (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x))))))
(+.f64 (.f64 y y) (.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 y y) (.f64 x x))
(+.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 y)) y))
(+.f64 (.f64 x x) (.f64 y y))
#s(approx (sqrt (+ (* x x) (* y y))) y)
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 y y) y)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x y))
#s(approx (sqrt (+ (* x x) (* y y))) (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) 1/2) x) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) y))
#s(approx (+ (* (/ (* y y) x) 1/2) x) (/.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) (.f64 x x)) x))
#s(approx (/ (* y y) x) (*.f64 (/.f64 y x) y))
#s(approx x x)
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
#s(approx (+ (* x x) (* y y)) (fma.f64 y y (*.f64 x x)))
#s(approx (* x x) (*.f64 x 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 y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.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 (pow.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 3 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x))
#s(approx (+ (* x x) (* y y)) (.f64 (.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (* y y))) (.f64 (neg.f64 x) (fma.f64 (.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) (.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 y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 (fma.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 (pow.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 3 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x)))
#s(approx (+ (* (/ (* y y) x) 1/2) x) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 y (*.f64 x x))) #s(literal -1 binary64))))
#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 (fma.f64 (.f64 y (/.f64 y (.f64 (.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #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 (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 (+ (* x x) (* y y))) (.f64 (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))) (.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 (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 3 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/2 binary64)))) y))
#s(approx (+ (* (/ (* y y) x) 1/2) x) (.f64 (.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) x)) y) y))
#s(approx (+ (* x x) (* y y)) (.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) y) y))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
#s(approx (sqrt (+ (* x x) (* y y))) (.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 (+ (* x x) (* y y))) (.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 (+ (* x x) (* y y))) (neg.f64 (fma.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 (pow.f64 (.f64 x (/.f64 x (.f64 y y))) #s(literal 3 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/2 binary64)))) y)))

eval69.0ms (1.5%)

Memory: 28.9MiB live, 125.3MiB allocated; 20ms collecting garbage
Compiler: Compiled 3 414 to 1 174 computations (65.6% saved)

prune31.0ms (0.7%)

Memory

-17.6MiB live, 27.5MiB allocated; 6ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	531	1	532
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	532	7	539

Accuracy

100.0%

Counts

539 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 y x)
✓	55.2%	(sqrt.f64 (fma.f64 y y (*.f64 x x)))
✓	4.5%	(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 x x)))
▶	6.3%	#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64) x))
✓	1.1%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
✓	1.8%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
✓	99.0%	#s(approx (sqrt (+ (* x x) (* y y))) y)

Compiler

Compiled 50 to 50 computations (0% saved)

series8.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Counts

7 → 28

Calls

Call 1

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

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 (+ (* (* (/ y x) y) 1/2) x) #s(hole binary64 (* 1/2 (/ (pow y 2) x))))
#s(approx (+ (* (* (/ y x) y) 1/2) x) #s(hole binary64 (/ (+ (* 1/2 (pow y 2)) (pow x 2)) x)))
#s(approx (* (/ y x) y) #s(hole binary64 (/ (pow y 2) x)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx x #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 (+ (* 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 (+ (* (* (/ y x) y) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (pow y 2) (pow x 2))) 1)))))
#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 (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 (+ (* (* (/ y x) y) 1/2) x) #s(hole binary64 (* (pow y 2) (+ (* 1/2 (/ 1 x)) (/ x (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
2.0ms	y	@	-inf	((sqrt (+ (* x x) (* y y))) (+ (* (* (/ y x) y) 1/2) x) (* (/ y x) y) (/ y x) y x 1/2)
1.0ms	x	@	-inf	((sqrt (+ (* x x) (* y y))) (+ (* (* (/ y x) y) 1/2) x) (* (/ y x) y) (/ y x) y x 1/2)
1.0ms	y	@	inf	((sqrt (+ (* x x) (* y y))) (+ (* (* (/ y x) y) 1/2) x) (* (/ y x) y) (/ y x) y x 1/2)
1.0ms	x	@	inf	((sqrt (+ (* x x) (* y y))) (+ (* (* (/ y x) y) 1/2) x) (* (/ y x) y) (/ y x) y x 1/2)
1.0ms	x	@	0	((sqrt (+ (* x x) (* y y))) (+ (* (* (/ y x) y) 1/2) x) (* (/ y x) y) (/ y x) y x 1/2)

rewrite240.0ms (5.1%)

Memory

5.3MiB live, 252.7MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	751
0	156	727
1	786	725
0	7937	580

Stop Event

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

Counts

35 → 94

Calls

Call 1

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

eval11.0ms (0.2%)

Memory: -19.3MiB live, 25.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 863 to 359 computations (58.4% saved)

prune5.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	83	7	90

Accuracy

100.0%

Counts

90 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 y x)
✓	55.2%	(sqrt.f64 (fma.f64 y y (*.f64 x x)))
✓	4.5%	(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 x x)))
✓	6.3%	#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64) x))
✓	1.1%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 y))
✓	1.8%	#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x))
✓	99.0%	#s(approx (sqrt (+ (* x x) (* y y))) y)

Compiler

Compiled 102 to 80 computations (21.6% saved)

regimes40.0ms (0.9%)

Memory

-11.4MiB live, 48.3MiB allocated; 6ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs
(hypot.f64 y x)

Calls

6 calls:

25.0ms	x
3.0ms	y
3.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
3.0ms	(+.f64 (.f64 x x) (.f64 y y))
3.0ms	(*.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)

regimes43.0ms (0.9%)

Memory

-0.6MiB live, 45.5MiB allocated; 3ms collecting garbage

Accuracy

Total -62.7b remaining (-9881%)

Threshold costs -62.7b (-9881%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

6 calls:

28.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
3.0ms	y
3.0ms	x
3.0ms	(+.f64 (.f64 x x) (.f64 y y))
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
99.0%	1	`(*.f64 y y)`
99.0%	1	`(*.f64 x x)`
99.0%	1	`(+.f64 (.f64 x x) (.f64 y y))`
99.0%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))`
99.0%	1	`x`
99.0%	1	`y`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

derivations72.0ms (1.5%)

Memory

-21.6MiB live, 68.4MiB allocated; 9ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 8 to 8 computations (0% saved)

preprocess22.0ms (0.5%)

Memory: 3.8MiB live, 57.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 74 to 74 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample3.2s (67.7%)

preprocess110.0ms (2.3%)

series6.0ms (0.1%)

rewrite257.0ms (5.5%)

eval62.0ms (1.3%)

prune8.0ms (0.2%)

series5.0ms (0.1%)

rewrite229.0ms (4.9%)

eval85.0ms (1.8%)

prune6.0ms (0.1%)

series8.0ms (0.2%)

rewrite202.0ms (4.3%)

eval69.0ms (1.5%)

prune31.0ms (0.7%)

series8.0ms (0.2%)

rewrite240.0ms (5.1%)

eval11.0ms (0.2%)

prune5.0ms (0.1%)

regimes40.0ms (0.9%)

regimes43.0ms (0.9%)

derivations72.0ms (1.5%)

preprocess22.0ms (0.5%)

end0.0ms (0%)

Profiling