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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 10 to 5 computations (50% saved)

sample1.3s (33.2%)

Memory

13.1MiB live, 1 002.2MiB allocated; 450ms collecting garbage

Samples

939.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 370.0ms

ival-hypot: 363.0ms (98.2% of total)

ival-assert: 4.0ms (1.1% of total)

adjust: 3.0ms (0.8% of total)

Bogosity

explain446.0ms (11.2%)

Memory

22.6MiB live, 159.8MiB allocated; 93ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
129	-	1	(-2.613788858776448e-275 -2.1216515192454835e-158)	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))`	oflow-rescue	114	0
↳	`(*.f64 y y)`	overflow	68
↳	`(*.f64 x x)`	overflow	62
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	114
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))`	uflow-rescue	14	0
↳	`(*.f64 y y)`	underflow	64
↳	`(*.f64 x x)`	underflow	63
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	14

Confusion

	Predicted +	Predicted -
+	128	1
-	0	127

Precision

1.0

Recall

0.9922480620155039

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	128	0	1
-	0	0	127

Precision?

1.0

Recall?

0.9922480620155039

Freqs

test

number	freq
0	128
1	128

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

97.0ms

512×

valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-hypot: 14.0ms (47.7% of total)

ival-mult: 11.0ms (37.5% of total)

ival-add: 3.0ms (10.2% of total)

ival-true: 1.0ms (3.4% of total)

adjust: 0.0ms (0% of total)

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

preprocess45.0ms (1.1%)

Memory

-6.4MiB live, 38.6MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	50
1	43	50
2	93	50
3	118	50
4	156	50
0	6	8
0	10	8
1	21	8
2	60	8
3	117	8
4	154	8
0	154	3

Stop Event

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

Calls

Call 1

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

Outputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
(hypot.f64 y x)

Symmetry

(abs x)

(abs y)

(sort x y)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.3%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

Compiler

Compiled 8 to 6 computations (25% saved)

series11.0ms (0.3%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Counts

6 → 31

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite835.0ms (21%)

Memory

-33.2MiB live, 331.3MiB allocated; 352ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	742
0	148	722
1	742	722
0	7664	562

Stop Event

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

Counts

37 → 427

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/4 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 1 binary64))
(pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(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)) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(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 #s(literal 1 binary64) (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)) (neg.f64 (fabs.f64 y)))
(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)) (exp.f64 (log.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)) (fabs.f64 y))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) y)
(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)) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(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 #s(literal 1 binary64) (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)) (neg.f64 (fabs.f64 y)))
(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)) (exp.f64 (log.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)) (fabs.f64 y))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) y)
(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)) (.f64 #s(literal 1 binary64) (fabs.f64 x)))
(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 (fabs.f64 x) #s(literal 1 binary64)))
(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)) (neg.f64 (fabs.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)) (exp.f64 (log.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)) (fabs.f64 x))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) 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)) (.f64 #s(literal 1 binary64) (fabs.f64 x)))
(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 (fabs.f64 x) #s(literal 1 binary64)))
(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)) (neg.f64 (fabs.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)) (exp.f64 (log.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)) (fabs.f64 x))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) x)
(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)) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(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 #s(literal 1 binary64) (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)) (neg.f64 (fabs.f64 y)))
(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)) (exp.f64 (log.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)) (fabs.f64 y))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(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)) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(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 #s(literal 1 binary64) (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)) (neg.f64 (fabs.f64 y)))
(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)) (exp.f64 (log.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)) (fabs.f64 y))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) y)
(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 #s(literal 1 binary64) (fabs.f64 x)))
(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 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (neg.f64 x)))
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(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 #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 #s(literal -1 binary64) (.f64 (neg.f64 y) y) (.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 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 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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (.f64 (neg.f64 y) y))))
(-.f64 (.f64 y y) (.f64 (neg.f64 x) x))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(+.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))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) 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 #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 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.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 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.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))))
x
(.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) y)
(.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(.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 #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 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.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 (neg.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 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 (fma.f64 (log.f64 y) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 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 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)) (.f64 x x) y))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64) 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))) x)
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (/.f64 y x) (/.f64 y x)) x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 y y) x) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))) x x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 y y) x) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 6 binary64))))) x x))
#s(approx (+ (* x x) (* y y)) (*.f64 x x))
#s(approx (+ (* x x) (* y y)) (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) (.f64 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 #s(literal 1/2 binary64) x) (/.f64 (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) (.f64 (neg.f64 x) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 y y) x) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 y y) x) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 6 binary64))))) 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 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 y y) x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 5 binary64)))) (.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) (.f64 y y) x))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (sqrt (+ (* x x) (* y y))) (.f64 (fma.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y))
#s(approx (sqrt (+ (* x x) (* y y))) (.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64))) y))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 y #s(literal 6 binary64))))) y y))
#s(approx (+ (* x x) (* y y)) (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) (.f64 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 (/.f64 (.f64 x x) 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 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 y #s(literal 6 binary64))))) y y)))

eval160.0ms (4%)

Memory: -28.4MiB live, 116.6MiB allocated; 36ms collecting garbage
Compiler: Compiled 4 246 to 818 computations (80.7% saved)

prune16.0ms (0.4%)

Memory

34.5MiB live, 34.5MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	428	3	431
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	429	3	432

Accuracy

100.0%

Counts

432 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 y x)
▶	53.3%	(sqrt.f64 (fma.f64 y y (*.f64 x x)))
▶	99.0%	#s(approx (sqrt (+ (* x x) (* y y))) y)

Compiler

Compiled 20 to 15 computations (25% saved)

series11.0ms (0.3%)

Memory

-33.5MiB live, 12.8MiB allocated; 8ms collecting garbage

Counts

7 → 52

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((sqrt (+ (* x x) (* y y))) y (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) x (sqrt (+ (* y y) (* x x))))
1.0ms	x	@	-inf	((sqrt (+ (* x x) (* y y))) y (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) x (sqrt (+ (* y y) (* x x))))
1.0ms	y	@	0	((sqrt (+ (* x x) (* y y))) y (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) x (sqrt (+ (* y y) (* x x))))
1.0ms	y	@	inf	((sqrt (+ (* x x) (* y y))) y (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) x (sqrt (+ (* y y) (* x x))))
1.0ms	y	@	-inf	((sqrt (+ (* x x) (* y y))) y (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) x (sqrt (+ (* y y) (* x x))))

rewrite571.0ms (14.4%)

Memory

23.7MiB live, 294.9MiB allocated; 98ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	1244
0	169	1088
1	778	1088
0	7843	1014

Stop Event

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

Counts

59 → 695

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (* x x) (* y y))) y)
y
(.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 (hypot.f64 y x) #s(literal 1 binary64))
(pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 y y (*.f64 (neg.f64 x) x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 y y (*.f64 x x)))
(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 #s(literal 1 binary64) (fabs.f64 y)))
(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)) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(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)) (neg.f64 (fabs.f64 y)))
(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)) (exp.f64 (log.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)) (fabs.f64 y))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) 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 #s(literal 1 binary64) (fabs.f64 y)))
(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)) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(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)) (neg.f64 (fabs.f64 y)))
(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)) (exp.f64 (log.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)) (fabs.f64 y))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) y)
(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 #s(literal 1 binary64) (fabs.f64 x)))
(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 (fabs.f64 x) #s(literal 1 binary64)))
(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)) (neg.f64 (fabs.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)) (exp.f64 (log.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)) (fabs.f64 x))
(hypot.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) 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 #s(literal 1 binary64) (fabs.f64 x)))
(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 (fabs.f64 x) #s(literal 1 binary64)))
(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)) (neg.f64 (fabs.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)) (exp.f64 (log.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)) (fabs.f64 x))
(hypot.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) x)
(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 #s(literal 1 binary64) (fabs.f64 y)))
(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)) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(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)) (neg.f64 (fabs.f64 y)))
(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)) (exp.f64 (log.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)) (fabs.f64 y))
(hypot.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) 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 #s(literal 1 binary64) (fabs.f64 y)))
(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)) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(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)) (neg.f64 (fabs.f64 y)))
(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)) (exp.f64 (log.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)) (fabs.f64 y))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) y)
(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)) (.f64 #s(literal 1 binary64) (fabs.f64 x)))
(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 (fabs.f64 x) #s(literal 1 binary64)))
(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)) (neg.f64 (fabs.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)) (exp.f64 (log.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)) (fabs.f64 x))
(hypot.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) 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)) (.f64 #s(literal 1 binary64) (fabs.f64 x)))
(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 (fabs.f64 x) #s(literal 1 binary64)))
(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)) (neg.f64 (fabs.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)) (exp.f64 (log.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)) (fabs.f64 x))
(hypot.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) x)
(hypot.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 x)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 x)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(hypot.f64 (neg.f64 (neg.f64 x)) (fabs.f64 y))
(hypot.f64 (neg.f64 (neg.f64 x)) y)
(hypot.f64 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 y))
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 y))
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(hypot.f64 (fabs.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (exp.f64 (log.f64 x)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (neg.f64 x))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 x))
(hypot.f64 (fabs.f64 (fabs.f64 y)) x)
(hypot.f64 (exp.f64 (log.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (exp.f64 (log.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 (exp.f64 (log.f64 y)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (exp.f64 (log.f64 y)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (exp.f64 (log.f64 y)) (neg.f64 (neg.f64 x)))
(hypot.f64 (exp.f64 (log.f64 y)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (exp.f64 (log.f64 y)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(hypot.f64 (exp.f64 (log.f64 y)) (neg.f64 x))
(hypot.f64 (exp.f64 (log.f64 y)) (fabs.f64 x))
(hypot.f64 (exp.f64 (log.f64 y)) x)
(hypot.f64 (exp.f64 (log.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (exp.f64 (log.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (exp.f64 (log.f64 x)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (exp.f64 (log.f64 x)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 (neg.f64 y)))
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (exp.f64 (log.f64 x)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 y))
(hypot.f64 (exp.f64 (log.f64 x)) (fabs.f64 y))
(hypot.f64 (exp.f64 (log.f64 x)) y)
(hypot.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (neg.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 x) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 y)))
(hypot.f64 (neg.f64 x) (neg.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 x) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 x) (exp.f64 (log.f64 y)))
(hypot.f64 (neg.f64 x) (neg.f64 y))
(hypot.f64 (neg.f64 x) (fabs.f64 y))
(hypot.f64 (neg.f64 x) y)
(hypot.f64 (neg.f64 y) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (neg.f64 y) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 (neg.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 y) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 y) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 y) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 y) (exp.f64 (log.f64 x)))
(hypot.f64 (neg.f64 y) (neg.f64 x))
(hypot.f64 (neg.f64 y) (fabs.f64 x))
(hypot.f64 (neg.f64 y) x)
(hypot.f64 (fabs.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 (fabs.f64 x) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 (fabs.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 x) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 x) (neg.f64 (neg.f64 y)))
(hypot.f64 (fabs.f64 x) (neg.f64 (fabs.f64 y)))
(hypot.f64 (fabs.f64 x) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (fabs.f64 x) (exp.f64 (log.f64 y)))
(hypot.f64 (fabs.f64 x) (neg.f64 y))
(hypot.f64 (fabs.f64 x) (fabs.f64 y))
(hypot.f64 (fabs.f64 x) y)
(hypot.f64 (fabs.f64 y) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 (fabs.f64 y) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 (fabs.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 y) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 y) (neg.f64 (neg.f64 x)))
(hypot.f64 (fabs.f64 y) (neg.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 y) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 y) (exp.f64 (log.f64 x)))
(hypot.f64 (fabs.f64 y) (neg.f64 x))
(hypot.f64 (fabs.f64 y) (fabs.f64 x))
(hypot.f64 (fabs.f64 y) x)
(hypot.f64 y (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(hypot.f64 y (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(hypot.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(hypot.f64 y (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(hypot.f64 y (neg.f64 (neg.f64 x)))
(hypot.f64 y (neg.f64 (fabs.f64 x)))
(hypot.f64 y (fabs.f64 (fabs.f64 x)))
(hypot.f64 y (exp.f64 (log.f64 x)))
(hypot.f64 y (neg.f64 x))
(hypot.f64 y (fabs.f64 x))
(hypot.f64 y x)
(hypot.f64 x (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(hypot.f64 x (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(hypot.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(hypot.f64 x (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(hypot.f64 x (neg.f64 (neg.f64 y)))
(hypot.f64 x (neg.f64 (fabs.f64 y)))
(hypot.f64 x (fabs.f64 (fabs.f64 y)))
(hypot.f64 x (exp.f64 (log.f64 y)))
(hypot.f64 x (neg.f64 y))
(hypot.f64 x (fabs.f64 y))
(hypot.f64 x y)
(exp.f64 (.f64 (log.f64 (fma.f64 y y (.f64 x 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 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)) (.f64 x x) y))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 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 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)) (.f64 x x) y))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y)))
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
#s(approx (+ (* y y) (* x x)) (fma.f64 y y (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (sqrt (+ (* x x) (* y y))) x)
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (/.f64 y x) (/.f64 y x)) x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 y y) x) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))) x x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 y y) x) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 6 binary64))))) x x))
#s(approx (sqrt (+ (* x x) (* y y))) x)
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (/.f64 y x) (/.f64 y x)) x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 y y) x) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))) x x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 y y) x) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 6 binary64))))) x x))
#s(approx (+ (* y y) (* x x)) (*.f64 x x))
#s(approx (+ (* y y) (* x x)) (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) (.f64 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 #s(literal 1/2 binary64) x) (/.f64 (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) (.f64 (neg.f64 x) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 y y) x) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 y y) x) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 6 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 #s(literal 1/2 binary64) x) (/.f64 (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) (* y y))) (.f64 (neg.f64 x) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 y y) x) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 y y) x) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 6 binary64))))) 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 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 y y) x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x)))
#s(approx y y)
#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 (fma.f64 (.f64 y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 y y) x))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x)))
#s(approx (sqrt (+ (* x x) (* y y))) (.f64 (fma.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y))
#s(approx (sqrt (+ (* x x) (* y y))) (.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64))) y))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 y #s(literal 6 binary64))))) y y))
#s(approx (sqrt (+ (* x x) (* y y))) (.f64 (fma.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y))
#s(approx (sqrt (+ (* x x) (* y y))) (.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64))) y))
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 y #s(literal 6 binary64))))) y y))
#s(approx (+ (* y y) (* x x)) (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) (.f64 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 (/.f64 (.f64 x x) 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 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 y #s(literal 6 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 (/.f64 (.f64 x x) 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 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 x x) y) y) #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 y #s(literal 6 binary64))))) y y)))

eval221.0ms (5.6%)

Memory: -14.7MiB live, 84.9MiB allocated; 54ms collecting garbage
Compiler: Compiled 4 291 to 782 computations (81.8% saved)

prune13.0ms (0.3%)

Memory

24.0MiB live, 24.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	431	0	431
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	431	3	434

Accuracy

100.0%

Counts

434 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 y x)
✓	53.3%	(sqrt.f64 (fma.f64 y y (*.f64 x x)))
✓	99.0%	#s(approx (sqrt (+ (* x x) (* y y))) y)

Compiler

Compiled 48 to 29 computations (39.6% saved)

regimes28.0ms (0.7%)

Memory

-27.3MiB live, 18.9MiB allocated; 9ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Outputs
(hypot.f64 y x)

Calls

6 calls:

14.0ms	(*.f64 y y)
3.0ms	y
3.0ms	x
3.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
3.0ms	(+.f64 (.f64 x x) (.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 23 to 21 computations (8.7% saved)

regimes13.0ms (0.3%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Accuracy

Total -29.4b remaining (-4394.2%)

Threshold costs -29.4b (-4394.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

6 calls:

3.0ms	y
2.0ms	x
2.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
2.0ms	(*.f64 y y)
2.0ms	(+.f64 (.f64 x x) (.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 23 to 21 computations (8.7% saved)

simplify22.0ms (0.6%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	58	13
3	115	13
4	152	13

Stop Event

1×

saturated

Calls

Call 1

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

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

derivations206.0ms (5.2%)

Memory

-29.5MiB live, 65.5MiB allocated; 84ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 13 to 8 computations (38.5% saved)

preprocess56.0ms (1.4%)

Memory

5.2MiB live, 50.2MiB allocated; 17ms collecting garbage

Remove

(sort x y)

(abs y)

(abs x)

Compiler

Compiled 98 to 72 computations (26.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (33.2%)

explain446.0ms (11.2%)

preprocess45.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

series11.0ms (0.3%)

rewrite835.0ms (21%)

eval160.0ms (4%)

prune16.0ms (0.4%)

series11.0ms (0.3%)

rewrite571.0ms (14.4%)

eval221.0ms (5.6%)

prune13.0ms (0.3%)

regimes28.0ms (0.7%)

regimes13.0ms (0.3%)

simplify22.0ms (0.6%)

derivations206.0ms (5.2%)

preprocess56.0ms (1.4%)

end0.0ms (0%)

Profiling