Metrics for Data.Array.Repa.Algorithms.Pixel:doubleRmsOfRGB8 from repa-algorithms-3.4.0.1

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

1.9MiB live, 1.9MiB 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
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
100%	99.9%	0%	0.1%	0%	0%	0%	4

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample920.0ms (34%)

Memory

33.2MiB live, 1 650.1MiB allocated; 206ms collecting garbage

Samples

633.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 349.0ms

ival-mult!: 173.0ms (49.6% of total)

ival-sqrt: 95.0ms (27.3% of total)

ival-div!: 43.0ms (12.3% of total)

ival-add!: 35.0ms (10% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain119.0ms (4.4%)

Memory

-6.6MiB live, 233.3MiB allocated; 9ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
144	-	-	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
0	-	-	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`z`
0	-	-	`(*.f64 x x)`
0	-	-	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	-	`(*.f64 z z)`
0	-	-	`y`
0	-	-	`(*.f64 y y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`	oflow-rescue	141	0
↳	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	141
↳	`(*.f64 y y)`	overflow	66
↳	`(*.f64 x x)`	overflow	55
↳	`(*.f64 z z)`	overflow	65
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	106
↳	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`	overflow	141
`sqrt.f64`	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`	uflow-rescue	3	0
↳	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	3
↳	`(*.f64 y y)`	underflow	53
↳	`(*.f64 x x)`	underflow	64
↳	`(*.f64 z z)`	underflow	60
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	9
↳	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`	underflow	3

Confusion

	Predicted +	Predicted -
+	144	0
-	0	112

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	144	0	0
-	0	0	112

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	112
1	144

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 134 to 37 computations (72.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult!: 8.0ms (46.4% of total)

ival-sqrt: 4.0ms (23.2% of total)

ival-add!: 3.0ms (17.4% of total)

ival-div!: 2.0ms (11.6% of total)

adjust: 0.0ms (0% of total)

preprocess16.0ms (0.6%)

Memory

23.9MiB live, 23.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	143
1	113	143
2	289	143
3	509	143
4	801	143
5	928	143
6	928	143

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.8%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))

Symmetry

(abs x)

(abs y)

(abs z)

(sort x y z)

Compiler

Compiled 28 to 22 computations (21.4% saved)

series20.0ms (0.7%)

Memory

-16.2MiB live, 30.3MiB allocated; 4ms collecting garbage

Counts

11 → 69

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
#s(literal 3 binary64)

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) x (* y y) y (* z z) z 3)
3.0ms	y	@	0	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) x (* y y) y (* z z) z 3)
2.0ms	x	@	0	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) x (* y y) y (* z z) z 3)
2.0ms	z	@	-inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) x (* y y) y (* z z) z 3)
2.0ms	x	@	inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) x (* y y) y (* z z) z 3)

rewrite271.0ms (10%)

Memory

-11.0MiB live, 187.2MiB allocated; 103ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	313	2521
0	324	2446
1	1685	2443
0	8472	2119

Stop Event

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

Counts

80 → 195

Calls

Call 1

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

Outputs
(pow.f64 (/.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z z) #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (/.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (-.f64 (.f64 (/.f64 (.f64 z z) #s(literal 3 binary64)) (/.f64 (.f64 z z) #s(literal 3 binary64))) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (/.f64 (.f64 z z) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))) #s(literal 3 binary64))
(/.f64 (fma.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (*.f64 z z))) #s(literal 9 binary64))
(/.f64 (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal -3 binary64))
(/.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64))
(-.f64 (/.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (/.f64 (.f64 (neg.f64 z) z) #s(literal 3 binary64)))
(+.f64 (/.f64 (fma.f64 z z (.f64 y y)) #s(literal 3 binary64)) (/.f64 (.f64 x x) #s(literal 3 binary64)))
(+.f64 (/.f64 (.f64 x x) #s(literal 3 binary64)) (/.f64 (fma.f64 z z (.f64 y y)) #s(literal 3 binary64)))
(+.f64 (/.f64 (.f64 z z) #s(literal 3 binary64)) (/.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)))
(+.f64 (/.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (/.f64 (.f64 z z) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 z) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 z) z) (.f64 (neg.f64 z) z) (.f64 (fma.f64 y y (.f64 x x)) (.f64 (neg.f64 z) z)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 z z (.f64 y y)) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 z z) (fma.f64 y y (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x x) (fma.f64 z z (*.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (-.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 2 binary64)) (.f64 (.f64 x x) (fma.f64 z z (*.f64 y y)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 2 binary64))) (-.f64 (.f64 x x) (fma.f64 z z (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 2 binary64)) (.f64 (.f64 x x) (fma.f64 z z (*.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)))))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (fma.f64 z z (*.f64 y y)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (fma.f64 z z (*.f64 y y)))
(fma.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 z)) (fma.f64 y y (*.f64 x x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (fma.f64 z z (*.f64 y y)))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (fma.f64 y y (*.f64 x x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 z z (*.f64 y y)))
(fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 z z (*.f64 y y)))
(fma.f64 (fabs.f64 z) (fabs.f64 z) (fma.f64 y y (*.f64 x x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 z z (*.f64 y y)))
(fma.f64 z z (fma.f64 y y (*.f64 x x)))
(fma.f64 x x (fma.f64 z z (*.f64 y y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) (fma.f64 z z (.f64 y y)))) (/.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 2 binary64)) (-.f64 (.f64 x x) (fma.f64 z z (*.f64 y y)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (-.f64 (fma.f64 y y (.f64 x x)) (.f64 z z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z))))
(-.f64 (fma.f64 y y (.f64 x x)) (.f64 (neg.f64 z) z))
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(+.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (fma.f64 y y (.f64 x x)) (.f64 z z))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z))))))
(+.f64 (fma.f64 y y (.f64 x x)) (.f64 z z))
(+.f64 (.f64 x x) (fma.f64 z z (.f64 y y)))
(+.f64 (fma.f64 z z (.f64 y y)) (.f64 x x))
(+.f64 (.f64 z z) (fma.f64 y y (.f64 x x)))
(pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 y) y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 y) y) (.f64 (.f64 x x) (.f64 (neg.f64 y) y)))))
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#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (/.f64 (fma.f64 y y (*.f64 x x)) z)) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/3 binary64))) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (/.f64 (fma.f64 y y (.f64 x x)) z)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/3 binary64))) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/16 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (/.f64 (fma.f64 y y (.f64 x x)) z)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))) z))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 z z) #s(literal 1/3 binary64)))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) z) (/.f64 #s(literal 1/3 binary64) z) #s(literal 1/3 binary64)) (*.f64 z z)))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1 binary64)) (.f64 z z)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (/.f64 (fma.f64 y y (*.f64 x x)) z)) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/3 binary64))) z)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (/.f64 (fma.f64 y y (.f64 x x)) z)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/3 binary64))) z)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/16 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (/.f64 (fma.f64 y y (.f64 x x)) z)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))) z)))

eval45.0ms (1.6%)

Memory: -14.4MiB live, 40.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 4 729 to 901 computations (80.9% saved)

prune11.0ms (0.4%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	172	17	189
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	173	17	190

Accuracy

99.7%

Counts

190 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.8%	(/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
	47.3%	(sqrt.f64 (/.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z)) #s(literal 3 binary64)))
▶	3.1%	(sqrt.f64 (/.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) #s(literal 3 binary64)))
	47.9%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))))
	47.3%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 x x)) #s(literal 1/3 binary64))))
	5.7%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64))))
▶	47.3%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 z z) #s(literal 1/3 binary64))))
	5.7%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 y y) #s(literal 1/3 binary64))))
	3.1%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
▶	99.4%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 1/3 binary64))))
	5.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 y x) (sqrt.f64 #s(literal 1/3 binary64))))
	98.3%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
	5.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
▶	3.4%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
	0.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
▶	1.2%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))
	1.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x)))

Compiler

Compiled 674 to 508 computations (24.6% saved)

series35.0ms (1.3%)

Memory

-19.1MiB live, 27.9MiB allocated; 2ms collecting garbage

Counts

22 → 111

Calls

Call 1

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 1/3 binary64)))
(hypot.f64 z y)
z
y
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x)
x
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 z z) #s(literal 1/3 binary64))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 z z) #s(literal 1/3 binary64)))
(.f64 (.f64 z z) #s(literal 1/3 binary64))
(*.f64 z z)
(sqrt.f64 (/.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) #s(literal 3 binary64)))
(/.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) #s(literal 3 binary64))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 x x))
(*.f64 x x)
#s(literal 3 binary64)

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

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	z	@	inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (sqrt (+ (* z z) (* y y))) z y (sqrt 1/3) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) x) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg (* (sqrt 1/3) y)) (* (sqrt 1/3) y) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (* z z) 1/3) (* z z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+ (+ (* x x) (* y y)) (* z z)) (* x x) 3)
2.0ms	y	@	0	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (sqrt (+ (* z z) (* y y))) z y (sqrt 1/3) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) x) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg (* (sqrt 1/3) y)) (* (sqrt 1/3) y) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (* z z) 1/3) (* z z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+ (+ (* x x) (* y y)) (* z z)) (* x x) 3)
2.0ms	y	@	inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (sqrt (+ (* z z) (* y y))) z y (sqrt 1/3) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) x) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg (* (sqrt 1/3) y)) (* (sqrt 1/3) y) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (* z z) 1/3) (* z z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+ (+ (* x x) (* y y)) (* z z)) (* x x) 3)
2.0ms	z	@	-inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (sqrt (+ (* z z) (* y y))) z y (sqrt 1/3) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) x) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg (* (sqrt 1/3) y)) (* (sqrt 1/3) y) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (* z z) 1/3) (* z z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+ (+ (* x x) (* y y)) (* z z)) (* x x) 3)
2.0ms	z	@	0	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (sqrt (+ (* z z) (* y y))) z y (sqrt 1/3) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) x) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg (* (sqrt 1/3) y)) (* (sqrt 1/3) y) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (* z z) 1/3) (* z z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+ (+ (* x x) (* y y)) (* z z)) (* x x) 3)

rewrite200.0ms (7.4%)

Memory

36.5MiB live, 267.5MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	525	3831
0	542	3699
1	2894	3694
0	8379	3343

Stop Event

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

Counts

133 → 292

Calls

Call 1

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

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

eval28.0ms (1%)

Memory: 11.8MiB live, 58.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 8 070 to 1 097 computations (86.4% saved)

prune44.0ms (1.6%)

Memory

-23.9MiB live, 28.3MiB allocated; 8ms collecting garbage

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	263	3	266
Fresh	1	11	12
Picked	0	5	5
Done	0	0	0
Total	264	19	283

Accuracy

99.7%

Counts

283 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.8%	(/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
	3.1%	(/.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 x x))) (sqrt.f64 #s(literal 3 binary64)))
▶	47.3%	(sqrt.f64 (/.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z)) #s(literal 3 binary64)))
✓	3.1%	(sqrt.f64 (/.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) #s(literal 3 binary64)))
	47.9%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))))
	47.3%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 x x)) #s(literal 1/3 binary64))))
▶	5.7%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64))))
✓	47.3%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 z z) #s(literal 1/3 binary64))))
	5.7%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 y y) #s(literal 1/3 binary64))))
	3.1%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
▶	47.2%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 z (.f64 z #s(literal 1/3 binary64)))))
✓	99.4%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 1/3 binary64))))
	5.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 y x) (sqrt.f64 #s(literal 1/3 binary64))))
▶	98.3%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
▶	5.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
✓	3.4%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
	0.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
✓	1.2%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))
	1.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x)))

Compiler

Compiled 654 to 491 computations (24.9% saved)

series34.0ms (1.3%)

Memory

-17.3MiB live, 30.0MiB allocated; 2ms collecting garbage

Counts

23 → 77

Calls

Call 1

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(sqrt.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
z
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)
y
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 z (.f64 z #s(literal 1/3 binary64)))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 z (.f64 z #s(literal 1/3 binary64))))
(.f64 z (.f64 z #s(literal 1/3 binary64)))
(*.f64 z #s(literal 1/3 binary64))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(sqrt.f64 (/.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z)) #s(literal 3 binary64))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z))
(*.f64 z z)
#s(literal 3 binary64)

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

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	z	@	-inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) z) (sqrt 1/3) 1/3 z (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) y) y (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* z (* z 1/3)) (* z 1/3) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (+ (* y y) (* x x)) 1/3) (+ (* y y) (* x x)) (* x x) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+ (+ (* x x) (* y y)) (* z z)) (* z z) 3)
2.0ms	z	@	inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) z) (sqrt 1/3) 1/3 z (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) y) y (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* z (* z 1/3)) (* z 1/3) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (+ (* y y) (* x x)) 1/3) (+ (* y y) (* x x)) (* x x) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+ (+ (* x x) (* y y)) (* z z)) (* z z) 3)
2.0ms	y	@	-inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) z) (sqrt 1/3) 1/3 z (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) y) y (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* z (* z 1/3)) (* z 1/3) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (+ (* y y) (* x x)) 1/3) (+ (* y y) (* x x)) (* x x) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+ (+ (* x x) (* y y)) (* z z)) (* z z) 3)
2.0ms	y	@	inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) z) (sqrt 1/3) 1/3 z (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) y) y (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* z (* z 1/3)) (* z 1/3) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (+ (* y y) (* x x)) 1/3) (+ (* y y) (* x x)) (* x x) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+ (+ (* x x) (* y y)) (* z z)) (* z z) 3)
2.0ms	z	@	0	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) z) (sqrt 1/3) 1/3 z (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt 1/3) y) y (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* z (* z 1/3)) (* z 1/3) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (+ (* y y) (* x x)) 1/3) (+ (* y y) (* x x)) (* x x) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+ (+ (* x x) (* y y)) (* z z)) (* z z) 3)

rewrite210.0ms (7.7%)

Memory

37.2MiB live, 275.8MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	346	2798
0	363	2623
1	1800	2620
0	8980	2385

Stop Event

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

Counts

100 → 201

Calls

Call 1

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

Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1/3 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
#s(literal 1/3 binary64)
z
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
y
(pow.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 z z) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 z z) #s(literal 1/3 binary64))))
(exp.f64 (.f64 (log.f64 #s(approx (/ (+ (+ ( x x) (* y y)) (* z z)) 3) (.f64 (.f64 z z) #s(literal 1/3 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 z z) #s(literal 1/3 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) z) z)
(.f64 (.f64 z z) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (.f64 z z))
(.f64 z (.f64 #s(literal 1/3 binary64) z))
(*.f64 #s(literal 1/3 binary64) z)
(*.f64 z #s(literal 1/3 binary64))
(pow.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64))))
(exp.f64 (.f64 (log.f64 #s(approx (/ (+ (+ ( x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 (neg.f64 (.f64 (hypot.f64 y x) (sqrt.f64 #s(literal 1/3 binary64)))) (neg.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 #s(literal 1/3 binary64)))))
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(.f64 (.f64 (hypot.f64 y x) (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (hypot.f64 y x) (sqrt.f64 #s(literal 1/3 binary64))))
(.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64))
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(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 y y) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (.f64 (.f64 y y) #s(literal 1/3 binary64))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 y y) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (.f64 (.f64 y y) #s(literal 1/3 binary64))))))
(fma.f64 (.f64 x x) #s(literal 1/3 binary64) (.f64 (*.f64 y y) #s(literal 1/3 binary64)))
(fma.f64 (.f64 y y) #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
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(pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1 binary64))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 x x) (.f64 y y))))
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(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
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(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 x x))
(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 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 y y))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 y y))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 x x) (.f64 y y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 y y) (.f64 x x))))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) y))
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#s(approx (* z (* z 1/3)) (.f64 (.f64 z z) #s(literal 1/3 binary64)))
#s(approx (* z 1/3) (*.f64 #s(literal 1/3 binary64) z))
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#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (/.f64 (fma.f64 y y (.f64 x x)) z)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/3 binary64))) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/16 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (/.f64 (fma.f64 y y (.f64 x x)) z)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))) z))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 z z) #s(literal 1/3 binary64)))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) z) (/.f64 #s(literal 1/3 binary64) z) #s(literal 1/3 binary64)) (*.f64 z z)))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1 binary64)) (.f64 z z)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (/.f64 (fma.f64 y y (*.f64 x x)) z)) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/3 binary64))) z)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (/.f64 (fma.f64 y y (.f64 x x)) z)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/3 binary64))) z)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/16 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) (/.f64 (fma.f64 y y (.f64 x x)) z)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))) z)))

eval36.0ms (1.3%)

Memory: 0.8MiB live, 47.5MiB allocated; 2ms collecting garbage
Compiler: Compiled 5 422 to 852 computations (84.3% saved)

prune15.0ms (0.6%)

Memory

-28.5MiB live, 25.9MiB allocated; 6ms collecting garbage

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	0	9	9
Picked	0	5	5
Done	0	5	5
Total	170	20	190

Accuracy

99.7%

Counts

190 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.8%	(/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
▶	47.2%	(/.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z))) (sqrt.f64 #s(literal 3 binary64)))
	3.1%	(/.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 x x))) (sqrt.f64 #s(literal 3 binary64)))
✓	47.3%	(sqrt.f64 (/.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z)) #s(literal 3 binary64)))
✓	3.1%	(sqrt.f64 (/.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) #s(literal 3 binary64)))
▶	47.9%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))))
▶	47.3%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 x x)) #s(literal 1/3 binary64))))
✓	5.7%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64))))
✓	47.3%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 z z) #s(literal 1/3 binary64))))
	5.7%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 y y) #s(literal 1/3 binary64))))
▶	3.1%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
✓	47.2%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 z (.f64 z #s(literal 1/3 binary64)))))
✓	99.4%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 1/3 binary64))))
	5.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 y x) (sqrt.f64 #s(literal 1/3 binary64))))
✓	98.3%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
✓	5.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
✓	3.4%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
	0.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
✓	1.2%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))
▶	1.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x)))

Compiler

Compiled 593 to 445 computations (25% saved)

series28.0ms (1%)

Memory

14.4MiB live, 60.4MiB allocated; 3ms collecting garbage

Counts

27 → 159

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64)))
(.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))
(fma.f64 z z (*.f64 y y))
z
(*.f64 y y)
y
#s(literal 1/3 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x)
(sqrt.f64 #s(literal 1/3 binary64))
x
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(*.f64 x x)
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 (fma.f64 z z (.f64 x x)) #s(literal 1/3 binary64))
(fma.f64 z z (*.f64 x x))
(/.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z))) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z)))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z))
(*.f64 z z)
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (+ (* z z) (* y y)) 1/3) (+ (* z z) (* y y)) z (* y y) y 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg (* (sqrt 1/3) x)) (* (sqrt 1/3) x) (sqrt 1/3) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (* x x) 1/3) (* x x) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (+ (* z z) (* x x)) 1/3) (+ (* z z) (* x x)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (* z z) (sqrt 3) 3)
5.0ms	x	@	inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (+ (* z z) (* y y)) 1/3) (+ (* z z) (* y y)) z (* y y) y 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg (* (sqrt 1/3) x)) (* (sqrt 1/3) x) (sqrt 1/3) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (* x x) 1/3) (* x x) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (+ (* z z) (* x x)) 1/3) (+ (* z z) (* x x)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (* z z) (sqrt 3) 3)
3.0ms	x	@	0	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (+ (* z z) (* y y)) 1/3) (+ (* z z) (* y y)) z (* y y) y 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg (* (sqrt 1/3) x)) (* (sqrt 1/3) x) (sqrt 1/3) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (* x x) 1/3) (* x x) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (+ (* z z) (* x x)) 1/3) (+ (* z z) (* x x)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (* z z) (sqrt 3) 3)
2.0ms	z	@	inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (+ (* z z) (* y y)) 1/3) (+ (* z z) (* y y)) z (* y y) y 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg (* (sqrt 1/3) x)) (* (sqrt 1/3) x) (sqrt 1/3) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (* x x) 1/3) (* x x) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (+ (* z z) (* x x)) 1/3) (+ (* z z) (* x x)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (* z z) (sqrt 3) 3)
2.0ms	x	@	-inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (+ (* z z) (* y y)) 1/3) (+ (* z z) (* y y)) z (* y y) y 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg (* (sqrt 1/3) x)) (* (sqrt 1/3) x) (sqrt 1/3) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (* x x) 1/3) (* x x) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* (+ (* z z) (* x x)) 1/3) (+ (* z z) (* x x)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (* z z) (sqrt 3) 3)

rewrite215.0ms (7.9%)

Memory

12.7MiB live, 293.1MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	678	6459
0	701	5985
1	3703	5865
0	9228	4620

Stop Event

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

Counts

186 → 347

Calls

Call 1

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

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

eval41.0ms (1.5%)

Memory: 4.5MiB live, 106.4MiB allocated; 8ms collecting garbage
Compiler: Compiled 10 300 to 1 451 computations (85.9% saved)

prune17.0ms (0.6%)

Memory

0.3MiB live, 47.2MiB allocated; 2ms collecting garbage

Pruning

25 alts after pruning (13 fresh and 12 done)

	Pruned	Kept	Total
New	324	9	333
Fresh	1	4	5
Picked	1	4	5
Done	2	8	10
Total	328	25	353

Accuracy

100.0%

Counts

353 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.8%	(/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
	99.4%	(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64)))
	5.7%	(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
	0.8%	(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z)) (sqrt.f64 #s(literal 3 binary64)))
	1.2%	(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 y)) (sqrt.f64 #s(literal 3 binary64)))
	1.7%	(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) (sqrt.f64 #s(literal 3 binary64)))
	98.3%	(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) z) (sqrt.f64 #s(literal 3 binary64)))
	5.7%	(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) y) (sqrt.f64 #s(literal 3 binary64)))
	3.4%	(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) x) (sqrt.f64 #s(literal 3 binary64)))
✓	47.9%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))))
✓	47.3%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 x x)) #s(literal 1/3 binary64))))
✓	5.7%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64))))
✓	47.3%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 z z) #s(literal 1/3 binary64))))
	5.7%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 y y) #s(literal 1/3 binary64))))
✓	3.1%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
✓	47.2%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 z (.f64 z #s(literal 1/3 binary64)))))
	3.1%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 x (.f64 x #s(literal 1/3 binary64)))))
✓	99.4%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 1/3 binary64))))
	5.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 y x) (sqrt.f64 #s(literal 1/3 binary64))))
✓	98.3%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
✓	5.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
✓	3.4%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
	0.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
✓	1.2%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))
✓	1.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x)))

Compiler

Compiled 1 076 to 471 computations (56.2% saved)

regimes88.0ms (3.2%)

Memory

-22.8MiB live, 172.5MiB allocated; 12ms collecting garbage

Counts

31 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 x (.f64 x #s(literal 1/3 binary64)))))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 z (.f64 z #s(literal 1/3 binary64)))))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 y y) #s(literal 1/3 binary64))))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 z z) #s(literal 1/3 binary64))))
(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) x) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) z) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 y)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64))))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 x x)) #s(literal 1/3 binary64))))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))))
(sqrt.f64 (/.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 x x))) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z))) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 y x) (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 1/3 binary64))))
(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64)))

Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 1/3 binary64))))

Calls

10 calls:

14.0ms	x
10.0ms	z
9.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
9.0ms	(*.f64 y y)
8.0ms	y

Results

Accuracy	Segments	Branch
99.4%	1	`(*.f64 z z)`
99.4%	1	`(*.f64 y y)`
99.4%	1	`(*.f64 x x)`
99.4%	1	`(+.f64 (.f64 x x) (.f64 y y))`
99.4%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
99.4%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
99.4%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
99.4%	1	`x`
99.4%	1	`y`
99.4%	1	`z`

Compiler

Compiled 57 to 56 computations (1.8% saved)

regimes81.0ms (3%)

Memory

-8.9MiB live, 136.0MiB allocated; 5ms collecting garbage

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 x (.f64 x #s(literal 1/3 binary64)))))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 z (.f64 z #s(literal 1/3 binary64)))))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 y y) #s(literal 1/3 binary64))))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 z z) #s(literal 1/3 binary64))))
(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) x) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) z) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 y)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64))))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 x x)) #s(literal 1/3 binary64))))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))))
(sqrt.f64 (/.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 x x))) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z))) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 y x) (sqrt.f64 #s(literal 1/3 binary64))))

Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))

Calls

10 calls:

15.0ms	(*.f64 y y)
8.0ms	(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
8.0ms	y
7.0ms	z
7.0ms	x

Results

Accuracy	Segments	Branch
98.3%	1	`(*.f64 z z)`
98.3%	1	`(*.f64 y y)`
98.3%	1	`(*.f64 x x)`
98.3%	1	`(+.f64 (.f64 x x) (.f64 y y))`
98.3%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
98.3%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
98.3%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
98.3%	1	`x`
98.3%	1	`y`
98.3%	1	`z`

Compiler

Compiled 57 to 56 computations (1.8% saved)

regimes21.0ms (0.8%)

Memory

-16.7MiB live, 30.9MiB allocated; 1ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))

#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))

Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))

Calls

10 calls:

1.0ms	z
1.0ms	x
1.0ms	y
1.0ms	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
1.0ms	(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
5.7%	1	`(*.f64 z z)`
5.7%	1	`(*.f64 y y)`
5.7%	1	`(*.f64 x x)`
5.7%	1	`(+.f64 (.f64 x x) (.f64 y y))`
5.7%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
5.7%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
5.7%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
5.7%	1	`x`
5.7%	1	`y`
5.7%	1	`z`

Compiler

Compiled 57 to 56 computations (1.8% saved)

regimes10.0ms (0.4%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))

Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))

Calls

10 calls:

1.0ms	z
1.0ms	x
1.0ms	y
1.0ms	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
1.0ms	(+.f64 (.f64 x x) (.f64 y y))

Results

Accuracy	Segments	Branch
3.4%	1	`(*.f64 y y)`
3.4%	1	`(+.f64 (.f64 x x) (.f64 y y))`
3.4%	1	`y`
3.4%	1	`(*.f64 x x)`
3.4%	1	`(*.f64 z z)`
3.4%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
3.4%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
3.4%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
3.4%	1	`x`
3.4%	1	`z`

Compiler

Compiled 57 to 56 computations (1.8% saved)

derivations122.0ms (4.5%)

Memory

9.4MiB live, 106.8MiB allocated; 2ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 78 to 22 computations (71.8% saved)

preprocess80.0ms (3%)

Memory

9.2MiB live, 197.8MiB allocated; 13ms collecting garbage

Remove

(abs z)

(abs y)

(sort x y z)

Compiler

Compiled 1 176 to 840 computations (28.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample920.0ms (34%)

explain119.0ms (4.4%)

preprocess16.0ms (0.6%)

series20.0ms (0.7%)

rewrite271.0ms (10%)

eval45.0ms (1.6%)

prune11.0ms (0.4%)

series35.0ms (1.3%)

rewrite200.0ms (7.4%)

eval28.0ms (1%)

prune44.0ms (1.6%)

series34.0ms (1.3%)

rewrite210.0ms (7.7%)

eval36.0ms (1.3%)

prune15.0ms (0.6%)

series28.0ms (1%)

rewrite215.0ms (7.9%)

eval41.0ms (1.5%)

prune17.0ms (0.6%)

regimes88.0ms (3.2%)

regimes81.0ms (3%)

regimes21.0ms (0.8%)

regimes10.0ms (0.4%)

derivations122.0ms (4.5%)

preprocess80.0ms (3%)

end0.0ms (0%)

Profiling