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%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

sample814.0ms (21.8%)

Memory

2.6MiB live, 1 332.5MiB allocated; 115ms collecting garbage

Samples

534.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 333.0ms

ival-mult!: 174.0ms (52.3% of total)

ival-sqrt: 79.0ms (23.7% of total)

ival-div!: 44.0ms (13.2% of total)

ival-add!: 33.0ms (9.9% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain154.0ms (4.1%)

Memory

6.5MiB live, 250.2MiB allocated; 9ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
139	-	-	`(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	138	0
↳	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	138
↳	`(*.f64 y y)`	overflow	68
↳	`(*.f64 x x)`	overflow	58
↳	`(*.f64 z z)`	overflow	48
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	112
↳	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`	overflow	138
`sqrt.f64`	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`	uflow-rescue	1	0
↳	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	1
↳	`(*.f64 y y)`	underflow	52
↳	`(*.f64 x x)`	underflow	63
↳	`(*.f64 z z)`	underflow	59
↳	`(+.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	1

Confusion

	Predicted +	Predicted -
+	139	0
-	0	117

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	139	0	0
-	0	0	117

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	117
1	139

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms

512×

valid

Compiler

Compiled 134 to 37 computations (72.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult!: 27.0ms (76.9% of total)

ival-sqrt: 4.0ms (11.4% of total)

ival-add!: 2.0ms (5.7% of total)

ival-div!: 2.0ms (5.7% of total)

adjust: 0.0ms (0% of total)

preprocess19.0ms (0.5%)

Memory

0.8MiB live, 48.7MiB allocated; 3ms 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
▶	49.6%	(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)

series19.0ms (0.5%)

Memory

-6.1MiB live, 41.2MiB allocated; 2ms 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
3.0ms	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)
2.0ms	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	y	@	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)

rewrite168.0ms (4.5%)

Memory

-5.4MiB live, 273.6MiB allocated; 17ms 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 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (*.f64 z z))) #s(literal 9 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 y y (*.f64 x x))))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (/.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)))
(exp.f64 (.f64 (log.f64 (/.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))) #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))) (+.f64 (.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 (neg.f64 z) (neg.f64 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 (neg.f64 z) (neg.f64 z) (fma.f64 y y (*.f64 x x)))) #s(literal -3 binary64))
(/.f64 (fma.f64 (neg.f64 z) (neg.f64 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)))
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(/.f64 (fma.f64 (neg.f64 (pow.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (fma.f64 (fma.f64 z z (.f64 y y)) (fma.f64 z z (.f64 y y)) (-.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (fma.f64 z z (.f64 y y)) (*.f64 x x)))))
(/.f64 (fma.f64 (neg.f64 (.f64 (.f64 z z) z)) (neg.f64 (.f64 (.f64 z z) z)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 z z) (.f64 z z) (-.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 (.f64 x x) #s(literal 2 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 (.f64 z z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 y y (.f64 x x)) (.f64 z z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) (-.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 (fma.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 z z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x)) (-.f64 (pow.f64 (.f64 z z) #s(literal 2 binary64)) (.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z))))))
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(/.f64 (fma.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 z z) #s(literal 3 binary64))) (fma.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x)) (-.f64 (pow.f64 (.f64 z z) #s(literal 2 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 (.f64 x x) #s(literal 2 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)))))
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#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (fma.f64 (.f64 (/.f64 (fma.f64 z z (*.f64 x x)) y) (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) y))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 (.f64 (fma.f64 z z (.f64 x x)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (neg.f64 y)) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 y y)) (/.f64 (.f64 (pow.f64 (fma.f64 z z (.f64 x x)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 y y)))) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) y))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 y y)) (/.f64 (.f64 (pow.f64 (fma.f64 z z (.f64 x x)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 y y)) (fma.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) y)) (/.f64 (.f64 (pow.f64 (fma.f64 z z (.f64 x x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 y y) y)) (.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 (.f64 (fma.f64 z z (.f64 x x)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (neg.f64 y))))) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) y))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 y y) #s(literal 1/3 binary64)))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (fma.f64 z z (.f64 x x)) y) #s(literal 1/3 binary64)) (*.f64 y y)))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 y y))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (.f64 (/.f64 (fma.f64 (fma.f64 z z (.f64 x x)) #s(literal 2 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))) (.f64 (.f64 y y) #s(literal 2 binary64))) (*.f64 y y)))
#s(approx (+ (* x x) (* y y)) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))) (.f64 (.f64 y y) #s(literal 2 binary64))) (*.f64 y y)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (.f64 (/.f64 (fma.f64 z z (.f64 x x)) y) (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) y) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 (.f64 (fma.f64 z z (.f64 x x)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (neg.f64 y)) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 y y)) (/.f64 (.f64 (pow.f64 (fma.f64 z z (.f64 x x)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 y y)))) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) y) (+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 y y)) (/.f64 (.f64 (pow.f64 (fma.f64 z z (.f64 x x)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 y y)) (fma.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) y)) (/.f64 (.f64 (pow.f64 (fma.f64 z z (.f64 x x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 y y) y)) (.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 (.f64 (fma.f64 z z (*.f64 x x)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (neg.f64 y))))) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (fma.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (fma.f64 (fma.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #s(literal -1/8 binary64))) (.f64 z z) (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (.f64 z z) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (.f64 z z) (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 #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)))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) (.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/3 binary64))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 y y (*.f64 x x)))
#s(approx (* z z) (*.f64 z z))
#s(approx z z)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (fma.f64 (.f64 (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z) (/.f64 (fma.f64 y y (*.f64 x x)) z)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 z z)) (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 z z)) (.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 z)) (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (neg.f64 z)))) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 z z)) (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 z z)) (fma.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 z z) z)) (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 z z) z)) (.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 z)) (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (neg.f64 z))))) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 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 (fma.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64) (.f64 (.f64 z z) #s(literal 2 binary64))) (.f64 (.f64 z z) #s(literal 2 binary64))) (*.f64 z z)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) z) (fma.f64 (.f64 (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z) (/.f64 (fma.f64 y y (.f64 x x)) z)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) z) (+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 z z)) (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 z z)) (.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 z)) (/.f64 (.f64 (fma.f64 y y (*.f64 x x)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (neg.f64 z)))) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) z) (+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 z z)) (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 z z)) (fma.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 z z) z)) (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 z z) z)) (.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 z)) (/.f64 (.f64 (fma.f64 y y (*.f64 x x)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (neg.f64 z))))) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))

eval44.0ms (1.2%)

Memory: 4.0MiB live, 72.3MiB allocated; 35ms collecting garbage
Compiler: Compiled 5 526 to 942 computations (83% saved)

prune75.0ms (2%)

Memory

5.4MiB live, 148.4MiB allocated; 6ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	192	8	200
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	192	9	201

Accuracy

99.3%

Counts

201 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.4%	(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
✓	49.6%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
▶	97.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z))
	5.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y))
▶	3.6%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x))
	0.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z) #s(literal -1 binary64)))
▶	1.2%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
	0.6%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (.f64 (/.f64 (fma.f64 z z (.f64 x x)) y) (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
▶	1.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x)))

Compiler

Compiled 376 to 287 computations (23.7% saved)

series24.0ms (0.6%)

Memory

-6.6MiB live, 44.3MiB allocated; 2ms collecting garbage

Counts

24 → 133

Calls

Call 1

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z)
(pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
z
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x))
#s(literal -1 binary64)
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x)
x
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y) #s(literal -1 binary64))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y)
y
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x))
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 y y (*.f64 x x)))
(neg.f64 z)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 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 (* -1 (* (pow 1/3 1/2) x)) #s(hole binary64 (* -1 (* x (sqrt 1/3)))))
#s(approx (* (pow 1/3 1/2) x) #s(hole binary64 (* x (sqrt 1/3))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* (/ 1 (sqrt 3)) (sqrt (+ (pow y 2) (pow z 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (sqrt (+ (pow y 2) (pow z 2)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) #s(hole binary64 (+ (pow y 2) (pow z 2))))
#s(approx (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) #s(hole binary64 (+ (pow x 2) (+ (pow y 2) (pow z 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 (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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (/ x (sqrt 3))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* x (+ (* 1/2 (/ (+ (pow y 2) (pow z 2)) (* (pow x 2) (sqrt 3)))) (/ 1 (sqrt 3))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 x))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))))
#s(approx (+ (* y y) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* y y) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* 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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (/ x (sqrt 3)))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (/ (+ (pow y 2) (pow z 2)) (* (pow x 2) (sqrt 3)))) (/ 1 (sqrt 3)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 x)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (* (* (pow 1/3 1/2) y) -1) #s(hole binary64 (* -1 (* y (sqrt 1/3)))))
#s(approx (* (pow 1/3 1/2) y) #s(hole binary64 (* y (sqrt 1/3))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* (/ 1 (sqrt 3)) (sqrt (+ (pow x 2) (pow z 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (sqrt (+ (pow x 2) (pow z 2)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (/ y (sqrt 3))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* y (+ (* 1/2 (/ (+ (pow x 2) (pow z 2)) (* (pow y 2) (sqrt 3)))) (/ 1 (sqrt 3))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 y))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) #s(hole binary64 (pow y 2)))
#s(approx (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) #s(hole binary64 (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))))
#s(approx (+ (* y y) (* x x)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* 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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (/ y (sqrt 3)))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (/ (+ (pow x 2) (pow z 2)) (* (pow y 2) (sqrt 3)))) (/ 1 (sqrt 3)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 y)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (* (pow 1/3 1/2) z) #s(hole binary64 (* z (sqrt 1/3))))
#s(approx z #s(hole binary64 z))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* (/ 1 (sqrt 3)) (sqrt (+ (pow x 2) (pow y 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (sqrt (+ (pow x 2) (pow y 2)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (neg z) #s(hole binary64 (* -1 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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (/ z (sqrt 3))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* z (+ (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt 3)))) (/ 1 (sqrt 3))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 z))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) #s(hole binary64 (pow z 2)))
#s(approx (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (/ z (sqrt 3)))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (* z (+ (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt 3)))) (/ 1 (sqrt 3)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 z)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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
4.0ms	x	@	0	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (pow 1/3 1/2) z) (pow 1/3 1/2) 1/3 1/2 z (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* -1 (* (pow 1/3 1/2) x)) -1 (* (pow 1/3 1/2) x) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* (pow 1/3 1/2) y) -1) (* (pow 1/3 1/2) y) y (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) (neg z) (+ (* y y) (* x x)) (* x x) (pow 3 1/2) 3)
3.0ms	x	@	inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (pow 1/3 1/2) z) (pow 1/3 1/2) 1/3 1/2 z (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* -1 (* (pow 1/3 1/2) x)) -1 (* (pow 1/3 1/2) x) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* (pow 1/3 1/2) y) -1) (* (pow 1/3 1/2) y) y (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) (neg z) (+ (* y y) (* x x)) (* x x) (pow 3 1/2) 3)
2.0ms	y	@	inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (pow 1/3 1/2) z) (pow 1/3 1/2) 1/3 1/2 z (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* -1 (* (pow 1/3 1/2) x)) -1 (* (pow 1/3 1/2) x) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* (pow 1/3 1/2) y) -1) (* (pow 1/3 1/2) y) y (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) (neg z) (+ (* y y) (* x x)) (* x x) (pow 3 1/2) 3)
2.0ms	z	@	inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (pow 1/3 1/2) z) (pow 1/3 1/2) 1/3 1/2 z (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* -1 (* (pow 1/3 1/2) x)) -1 (* (pow 1/3 1/2) x) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* (pow 1/3 1/2) y) -1) (* (pow 1/3 1/2) y) y (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) (neg z) (+ (* y y) (* x x)) (* x x) (pow 3 1/2) 3)
2.0ms	y	@	0	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (pow 1/3 1/2) z) (pow 1/3 1/2) 1/3 1/2 z (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* -1 (* (pow 1/3 1/2) x)) -1 (* (pow 1/3 1/2) x) x (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* (pow 1/3 1/2) y) -1) (* (pow 1/3 1/2) y) y (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) (neg z) (+ (* y y) (* x x)) (* x x) (pow 3 1/2) 3)

rewrite183.0ms (4.9%)

Memory

-21.7MiB live, 305.1MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	615	5926
0	634	5420
1	3399	5299
0	8798	4042

Stop Event

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

Counts

157 → 394

Calls

Call 1

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z)
(pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
z
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x))
#s(literal -1 binary64)
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x)
x
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y) #s(literal -1 binary64))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y)
y
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x))
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 y y (*.f64 x x)))
(neg.f64 z)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 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 (* -1 (* (pow 1/3 1/2) x)) #s(hole binary64 (* -1 (* x (sqrt 1/3)))))
#s(approx (* (pow 1/3 1/2) x) #s(hole binary64 (* x (sqrt 1/3))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* (/ 1 (sqrt 3)) (sqrt (+ (pow y 2) (pow z 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (sqrt (+ (pow y 2) (pow z 2)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) #s(hole binary64 (+ (pow y 2) (pow z 2))))
#s(approx (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) #s(hole binary64 (+ (pow x 2) (+ (pow y 2) (pow z 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 (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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (/ x (sqrt 3))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* x (+ (* 1/2 (/ (+ (pow y 2) (pow z 2)) (* (pow x 2) (sqrt 3)))) (/ 1 (sqrt 3))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 x))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ (pow y 2) (pow x 2)) (/ (pow z 2) (pow x 2)))))))
#s(approx (+ (* y y) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* y y) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* 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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (/ x (sqrt 3)))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (/ (+ (pow y 2) (pow z 2)) (* (pow x 2) (sqrt 3)))) (/ 1 (sqrt 3)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 x)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (* (* (pow 1/3 1/2) y) -1) #s(hole binary64 (* -1 (* y (sqrt 1/3)))))
#s(approx (* (pow 1/3 1/2) y) #s(hole binary64 (* y (sqrt 1/3))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* (/ 1 (sqrt 3)) (sqrt (+ (pow x 2) (pow z 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (sqrt (+ (pow x 2) (pow z 2)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (/ y (sqrt 3))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* y (+ (* 1/2 (/ (+ (pow x 2) (pow z 2)) (* (pow y 2) (sqrt 3)))) (/ 1 (sqrt 3))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 y))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) #s(hole binary64 (pow y 2)))
#s(approx (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) #s(hole binary64 (* (pow y 2) (+ 1 (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))))
#s(approx (+ (* y y) (* x x)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* 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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (/ y (sqrt 3)))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (/ (+ (pow x 2) (pow z 2)) (* (pow y 2) (sqrt 3)))) (/ 1 (sqrt 3)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 y)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (* (pow 1/3 1/2) z) #s(hole binary64 (* z (sqrt 1/3))))
#s(approx z #s(hole binary64 z))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* (/ 1 (sqrt 3)) (sqrt (+ (pow x 2) (pow y 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (sqrt (+ (pow x 2) (pow y 2)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (neg z) #s(hole binary64 (* -1 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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (/ z (sqrt 3))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* z (+ (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt 3)))) (/ 1 (sqrt 3))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 z))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) #s(hole binary64 (pow z 2)))
#s(approx (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (/ z (sqrt 3)))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (* z (+ (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt 3)))) (/ 1 (sqrt 3)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 z)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) z))
(*.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) z)
(*.f64 z (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64))
(pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))))
(sqrt.f64 #s(literal 1/3 binary64))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
z
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) x)
(.f64 (.f64 #s(literal -1 binary64) x) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) x) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) x))
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#s(approx (* (pow 1/3 1/2) z) (*.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) z))
#s(approx z z)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (fma.f64 (.f64 (/.f64 (.f64 z z) (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 z z) (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (.f64 z z) (.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 z z) (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (.f64 z z) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (.f64 z z) (.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 z z)) (pow.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 z z) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 z z)) (pow.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) (.f64 z z) (.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 z z) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) (fma.f64 y y (*.f64 x x)))
#s(approx (neg z) (*.f64 #s(literal -1 binary64) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (.f64 z z)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (fma.f64 (neg.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 4 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (.f64 z z)) #s(literal 1/2 binary64)))) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (fma.f64 (neg.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal -1 binary64) 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)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 6 binary64))) #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (*.f64 z z)) #s(literal 1/2 binary64))))) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/.f64 z (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) (.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) (.f64 z z))) z (*.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) z)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)))) z (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) (.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) (.f64 z z))) z (*.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) z))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 6 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)))) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) (.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) (*.f64 z z)))))) z))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) z)
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) #s(literal 2 binary64) (.f64 (.f64 z z) #s(literal 2 binary64))) (.f64 (*.f64 z z) #s(literal 2 binary64))) z))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) (.f64 z z))) z))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64))) (.f64 z z) (.f64 (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 6 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))))) (.f64 (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 6 binary64)) (*.f64 z z)))) z))
#s(approx (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) (*.f64 z z))
#s(approx (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) (.f64 (/.f64 (fma.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64) (.f64 (.f64 z z) #s(literal 2 binary64))) (.f64 (.f64 z z) #s(literal 2 binary64))) (*.f64 z z)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) z) (fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (*.f64 z z)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) z) (fma.f64 (neg.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 4 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (*.f64 z z)) #s(literal 1/2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) z) (fma.f64 (neg.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal -1 binary64) 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)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 6 binary64))) #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (.f64 z z)) #s(literal 1/2 binary64)))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (/.f64 z (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) z) (fma.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) (.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) (.f64 z z))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)))) z (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) (.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) (.f64 z z))) z (.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) z))) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) z) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 6 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)))) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) (.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) (.f64 z z))))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) z))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (.f64 (.f64 #s(literal -1 binary64) z) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) #s(literal 2 binary64) (.f64 (.f64 z z) #s(literal 2 binary64))) (.f64 (.f64 z z) #s(literal 2 binary64)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (.f64 (.f64 #s(literal -1 binary64) z) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) (*.f64 z z)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (.f64 (.f64 #s(literal -1 binary64) z) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64))) (.f64 z z) (.f64 (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 6 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))))) (.f64 (pow.f64 (.f64 #s(literal -1 binary64) z) #s(literal 6 binary64)) (.f64 z z))))))

eval60.0ms (1.6%)

Memory: 26.4MiB live, 127.7MiB allocated; 6ms collecting garbage
Compiler: Compiled 14 231 to 1 556 computations (89.1% saved)

prune213.0ms (5.7%)

Memory

-12.0MiB live, 419.9MiB allocated; 14ms collecting garbage

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	470	7	477
Fresh	0	3	3
Picked	0	5	5
Done	0	1	1
Total	470	16	486

Accuracy

99.5%

Counts

486 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.4%	(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
	0.8%	(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) z)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
	1.2%	(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) y)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
▶	1.7%	(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
▶	97.8%	(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) z) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
	5.8%	(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) y) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
▶	3.6%	(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) x) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
✓	49.6%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
✓	97.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z))
	5.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y))
✓	3.6%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x))
▶	1.2%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) y) #s(literal -1 binary64)))
	0.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z) #s(literal -1 binary64)))
✓	1.2%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
▶	0.6%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (.f64 (/.f64 (fma.f64 z z (.f64 x x)) y) (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
✓	1.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x)))

Compiler

Compiled 587 to 449 computations (23.5% saved)

series117.0ms (3.1%)

Memory

15.4MiB live, 232.5MiB allocated; 40ms collecting garbage

Counts

32 → 158

Calls

Call 1

Inputs
(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) z) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) z)
z
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
#s(literal 3 binary64)
#s(literal 1/2 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (.f64 (/.f64 (fma.f64 z z (.f64 x x)) y) (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (.f64 (/.f64 (fma.f64 z z (.f64 x x)) y) (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(fma.f64 (.f64 (/.f64 (fma.f64 z z (.f64 x x)) y) (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
(.f64 (/.f64 (fma.f64 z z (.f64 x x)) y) (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y))
(/.f64 (fma.f64 z z (*.f64 x x)) y)
(fma.f64 z z (*.f64 x x))
(*.f64 x x)
x
(/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y)
(pow.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 (.f64 (pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) y) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) y) #s(literal -1 binary64))
(*.f64 (pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) y)
(pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))
#s(literal 9 binary64)
#s(literal 1/4 binary64)
(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) x) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) x)
(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)

Outputs
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* (/ 1 (sqrt 3)) (sqrt (+ (pow y 2) (pow z 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (sqrt (+ (pow y 2) (pow z 2)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (+ (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))) (* -1/2 (/ (* (pow x 2) (sqrt 1/3)) y)))))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (+ (sqrt 1/3) (+ (* 1/2 (/ (* (pow x 2) (sqrt 1/3)) (pow y 2))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))))
#s(approx (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) #s(hole binary64 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))
#s(approx (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) #s(hole binary64 (+ (/ (* (pow x 2) (sqrt 1/3)) (pow y 2)) (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))
#s(approx (/ (+ (* z z) (* x x)) y) #s(hole binary64 (/ (pow z 2) y)))
#s(approx (/ (+ (* z z) (* x x)) y) #s(hole binary64 (+ (/ (pow x 2) y) (/ (pow z 2) y))))
#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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* -1 x) #s(hole binary64 (* -1 x)))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (/ x (sqrt 3))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* x (+ (* 1/2 (/ (+ (pow y 2) (pow z 2)) (* (pow x 2) (sqrt 3)))) (/ 1 (sqrt 3))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 x))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1/2 (/ (* (pow x 2) (sqrt 1/3)) y))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))) (pow x 2))) (* -1/2 (/ (sqrt 1/3) y))))))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (* 1/2 (/ (* (pow x 2) (sqrt 1/3)) (pow y 2)))))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (/ (sqrt 1/3) (pow y 2))) (+ (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (* (pow x 2) (pow y 2)))) (/ (sqrt 1/3) (pow x 2)))))))
#s(approx (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) #s(hole binary64 (/ (* (pow x 2) (sqrt 1/3)) (pow y 2))))
#s(approx (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) #s(hole binary64 (* (pow x 2) (+ (/ (sqrt 1/3) (pow y 2)) (/ (* (pow z 2) (sqrt 1/3)) (* (pow x 2) (pow y 2)))))))
#s(approx (/ (+ (* z z) (* x x)) y) #s(hole binary64 (/ (pow x 2) y)))
#s(approx (/ (+ (* z z) (* x x)) y) #s(hole binary64 (* (pow x 2) (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) y))))))
#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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (/ x (sqrt 3)))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (/ (+ (pow y 2) (pow z 2)) (* (pow x 2) (sqrt 3)))) (/ 1 (sqrt 3)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 x)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (* -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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* (/ 1 (sqrt 3)) (sqrt (+ (pow x 2) (pow z 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (sqrt (+ (pow x 2) (pow z 2)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) y))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (/ (+ (* -1 (* (pow y 2) (sqrt 1/3))) (* -1/2 (* (sqrt 1/3) (+ (pow x 2) (pow z 2))))) y)))
#s(approx (* -1 y) #s(hole binary64 (* -1 y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2)))))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (/ (+ (* 1/2 (* (sqrt 1/3) (+ (pow x 2) (pow z 2)))) (* (pow y 2) (sqrt 1/3))) (pow y 2))))
#s(approx (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) #s(hole binary64 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))
#s(approx (/ (+ (* z z) (* x x)) y) #s(hole binary64 (/ (+ (pow x 2) (pow z 2)) y)))
#s(approx (/ (pow 1/3 1/2) y) #s(hole binary64 (/ (sqrt 1/3) y)))
#s(approx (* (* (pow (pow 9 1/4) -1) y) -1) #s(hole binary64 (* -1 (* (pow 1/9 1/4) y))))
#s(approx (* (pow (pow 9 1/4) -1) y) #s(hole binary64 (* (pow 1/9 1/4) y)))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (/ y (sqrt 3))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* y (+ (* 1/2 (/ (+ (pow x 2) (pow z 2)) (* (pow y 2) (sqrt 3)))) (/ 1 (sqrt 3))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 y))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1 (* y (sqrt 1/3)))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* y (+ (* -1 (sqrt 1/3)) (* -1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2)))))))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (sqrt 1/3)))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (/ y (sqrt 3)))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (/ (+ (pow x 2) (pow z 2)) (* (pow y 2) (sqrt 3)))) (/ 1 (sqrt 3)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 y)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (* -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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* (/ 1 (sqrt 3)) (sqrt (+ (pow x 2) (pow y 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (sqrt (+ (pow x 2) (pow y 2)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 z #s(hole binary64 z))
#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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow x 2) (sqrt 1/3)) (pow y 2))))))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (+ (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow x 2) (sqrt 1/3)) (pow y 2)))))) (* -1/2 (/ (* (pow z 2) (sqrt 1/3)) y)))))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (+ (sqrt 1/3) (* 1/2 (/ (* (pow x 2) (sqrt 1/3)) (pow y 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (/ z (sqrt 3))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* z (+ (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt 3)))) (/ 1 (sqrt 3))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 z))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1/2 (/ (* (pow z 2) (sqrt 1/3)) y))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* (pow z 2) (+ (* -1 (/ (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow x 2) (sqrt 1/3)) (pow y 2))))) (pow z 2))) (* -1/2 (/ (sqrt 1/3) y))))))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (* (pow z 2) (+ (* 1/2 (/ (sqrt 1/3) (pow y 2))) (+ (* 1/2 (/ (* (pow x 2) (sqrt 1/3)) (* (pow y 2) (pow z 2)))) (/ (sqrt 1/3) (pow z 2)))))))
#s(approx (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) #s(hole binary64 (* (pow z 2) (+ (/ (sqrt 1/3) (pow y 2)) (/ (* (pow x 2) (sqrt 1/3)) (* (pow y 2) (pow z 2)))))))
#s(approx (/ (+ (* z z) (* x x)) y) #s(hole binary64 (* (pow z 2) (+ (/ 1 y) (/ (pow x 2) (* y (pow z 2)))))))
#s(approx (+ (* z z) (* x x)) #s(hole binary64 (* (pow z 2) (+ 1 (/ (pow x 2) (pow z 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (/ z (sqrt 3)))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (* z (+ (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt 3)))) (/ 1 (sqrt 3)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 z)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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))))))))))
#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
59.0ms	y	@	0	((/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) z (pow 3 1/2) 3 1/2 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (* -1 y) -1 y (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) (/ (+ (* z z) (* x x)) y) (+ (* z z) (* x x)) (* x x) x (/ (pow 1/3 1/2) y) (pow 1/3 1/2) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* (pow (pow 9 1/4) -1) y) -1) (* (pow (pow 9 1/4) -1) y) (pow (pow 9 1/4) -1) (pow 9 1/4) 9 1/4 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (* -1 x))
19.0ms	y	@	inf	((/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) z (pow 3 1/2) 3 1/2 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (* -1 y) -1 y (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) (/ (+ (* z z) (* x x)) y) (+ (* z z) (* x x)) (* x x) x (/ (pow 1/3 1/2) y) (pow 1/3 1/2) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* (pow (pow 9 1/4) -1) y) -1) (* (pow (pow 9 1/4) -1) y) (pow (pow 9 1/4) -1) (pow 9 1/4) 9 1/4 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (* -1 x))
9.0ms	y	@	-inf	((/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) z (pow 3 1/2) 3 1/2 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (* -1 y) -1 y (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) (/ (+ (* z z) (* x x)) y) (+ (* z z) (* x x)) (* x x) x (/ (pow 1/3 1/2) y) (pow 1/3 1/2) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* (pow (pow 9 1/4) -1) y) -1) (* (pow (pow 9 1/4) -1) y) (pow (pow 9 1/4) -1) (pow 9 1/4) 9 1/4 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (* -1 x))
8.0ms	z	@	0	((/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) z (pow 3 1/2) 3 1/2 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (* -1 y) -1 y (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) (/ (+ (* z z) (* x x)) y) (+ (* z z) (* x x)) (* x x) x (/ (pow 1/3 1/2) y) (pow 1/3 1/2) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* (pow (pow 9 1/4) -1) y) -1) (* (pow (pow 9 1/4) -1) y) (pow (pow 9 1/4) -1) (pow 9 1/4) 9 1/4 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (* -1 x))
6.0ms	x	@	inf	((/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) z (pow 3 1/2) 3 1/2 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (* -1 y) -1 y (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) (/ (+ (* z z) (* x x)) y) (+ (* z z) (* x x)) (* x x) x (/ (pow 1/3 1/2) y) (pow 1/3 1/2) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* (pow (pow 9 1/4) -1) y) -1) (* (pow (pow 9 1/4) -1) y) (pow (pow 9 1/4) -1) (pow 9 1/4) 9 1/4 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (* -1 x))

rewrite238.0ms (6.4%)

Memory

-27.5MiB live, 267.6MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	718	7295
0	743	6653
1	3988	6507
0	8984	5084

Stop Event

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

Counts

190 → 431

Calls

Call 1

Inputs
(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) z) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) z)
z
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
#s(literal 3 binary64)
#s(literal 1/2 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (.f64 (/.f64 (fma.f64 z z (.f64 x x)) y) (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (.f64 (/.f64 (fma.f64 z z (.f64 x x)) y) (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(fma.f64 (.f64 (/.f64 (fma.f64 z z (.f64 x x)) y) (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
(.f64 (/.f64 (fma.f64 z z (.f64 x x)) y) (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y))
(/.f64 (fma.f64 z z (*.f64 x x)) y)
(fma.f64 z z (*.f64 x x))
(*.f64 x x)
x
(/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y)
(pow.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 (.f64 (pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) y) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) y) #s(literal -1 binary64))
(*.f64 (pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) y)
(pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))
#s(literal 9 binary64)
#s(literal 1/4 binary64)
(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) x) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) x)
(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* (/ 1 (sqrt 3)) (sqrt (+ (pow y 2) (pow z 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (sqrt (+ (pow y 2) (pow z 2)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (+ (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))) (* -1/2 (/ (* (pow x 2) (sqrt 1/3)) y)))))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (+ (sqrt 1/3) (+ (* 1/2 (/ (* (pow x 2) (sqrt 1/3)) (pow y 2))) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))))
#s(approx (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) #s(hole binary64 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))
#s(approx (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) #s(hole binary64 (+ (/ (* (pow x 2) (sqrt 1/3)) (pow y 2)) (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))
#s(approx (/ (+ (* z z) (* x x)) y) #s(hole binary64 (/ (pow z 2) y)))
#s(approx (/ (+ (* z z) (* x x)) y) #s(hole binary64 (+ (/ (pow x 2) y) (/ (pow z 2) y))))
#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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* -1 x) #s(hole binary64 (* -1 x)))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (/ x (sqrt 3))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* x (+ (* 1/2 (/ (+ (pow y 2) (pow z 2)) (* (pow x 2) (sqrt 3)))) (/ 1 (sqrt 3))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 x))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1/2 (/ (* (pow x 2) (sqrt 1/3)) y))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))) (pow x 2))) (* -1/2 (/ (sqrt 1/3) y))))))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (* 1/2 (/ (* (pow x 2) (sqrt 1/3)) (pow y 2)))))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (/ (sqrt 1/3) (pow y 2))) (+ (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (* (pow x 2) (pow y 2)))) (/ (sqrt 1/3) (pow x 2)))))))
#s(approx (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) #s(hole binary64 (/ (* (pow x 2) (sqrt 1/3)) (pow y 2))))
#s(approx (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) #s(hole binary64 (* (pow x 2) (+ (/ (sqrt 1/3) (pow y 2)) (/ (* (pow z 2) (sqrt 1/3)) (* (pow x 2) (pow y 2)))))))
#s(approx (/ (+ (* z z) (* x x)) y) #s(hole binary64 (/ (pow x 2) y)))
#s(approx (/ (+ (* z z) (* x x)) y) #s(hole binary64 (* (pow x 2) (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) y))))))
#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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (/ x (sqrt 3)))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (/ (+ (pow y 2) (pow z 2)) (* (pow x 2) (sqrt 3)))) (/ 1 (sqrt 3)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 x)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (* -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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* (/ 1 (sqrt 3)) (sqrt (+ (pow x 2) (pow z 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (sqrt (+ (pow x 2) (pow z 2)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) y))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (/ (+ (* -1 (* (pow y 2) (sqrt 1/3))) (* -1/2 (* (sqrt 1/3) (+ (pow x 2) (pow z 2))))) y)))
#s(approx (* -1 y) #s(hole binary64 (* -1 y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2)))))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (/ (+ (* 1/2 (* (sqrt 1/3) (+ (pow x 2) (pow z 2)))) (* (pow y 2) (sqrt 1/3))) (pow y 2))))
#s(approx (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) #s(hole binary64 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))
#s(approx (/ (+ (* z z) (* x x)) y) #s(hole binary64 (/ (+ (pow x 2) (pow z 2)) y)))
#s(approx (/ (pow 1/3 1/2) y) #s(hole binary64 (/ (sqrt 1/3) y)))
#s(approx (* (* (pow (pow 9 1/4) -1) y) -1) #s(hole binary64 (* -1 (* (pow 1/9 1/4) y))))
#s(approx (* (pow (pow 9 1/4) -1) y) #s(hole binary64 (* (pow 1/9 1/4) y)))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (/ y (sqrt 3))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* y (+ (* 1/2 (/ (+ (pow x 2) (pow z 2)) (* (pow y 2) (sqrt 3)))) (/ 1 (sqrt 3))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 y))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1 (* y (sqrt 1/3)))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* y (+ (* -1 (sqrt 1/3)) (* -1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2)))))))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (sqrt 1/3)))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (/ y (sqrt 3)))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (/ (+ (pow x 2) (pow z 2)) (* (pow y 2) (sqrt 3)))) (/ 1 (sqrt 3)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 y)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (* -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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* (/ 1 (sqrt 3)) (sqrt (+ (pow x 2) (pow y 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (sqrt (+ (pow x 2) (pow y 2)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 z #s(hole binary64 z))
#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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow x 2) (sqrt 1/3)) (pow y 2))))))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (+ (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow x 2) (sqrt 1/3)) (pow y 2)))))) (* -1/2 (/ (* (pow z 2) (sqrt 1/3)) y)))))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (+ (sqrt 1/3) (* 1/2 (/ (* (pow x 2) (sqrt 1/3)) (pow y 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (/ z (sqrt 3))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* z (+ (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt 3)))) (/ 1 (sqrt 3))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 z))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1/2 (/ (* (pow z 2) (sqrt 1/3)) y))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* (pow z 2) (+ (* -1 (/ (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow x 2) (sqrt 1/3)) (pow y 2))))) (pow z 2))) (* -1/2 (/ (sqrt 1/3) y))))))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2)) #s(hole binary64 (* (pow z 2) (+ (* 1/2 (/ (sqrt 1/3) (pow y 2))) (+ (* 1/2 (/ (* (pow x 2) (sqrt 1/3)) (* (pow y 2) (pow z 2)))) (/ (sqrt 1/3) (pow z 2)))))))
#s(approx (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) #s(hole binary64 (* (pow z 2) (+ (/ (sqrt 1/3) (pow y 2)) (/ (* (pow x 2) (sqrt 1/3)) (* (pow y 2) (pow z 2)))))))
#s(approx (/ (+ (* z z) (* x x)) y) #s(hole binary64 (* (pow z 2) (+ (/ 1 y) (/ (pow x 2) (* y (pow z 2)))))))
#s(approx (+ (* z z) (* x x)) #s(hole binary64 (* (pow z 2) (+ 1 (/ (pow x 2) (pow z 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (/ z (sqrt 3)))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (* z (+ (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt 3)))) (/ 1 (sqrt 3)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 z)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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))))))))))
#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
(/.f64 (neg.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) z)) (neg.f64 (pow.f64 #s(literal 81 binary64) #s(literal 1/8 binary64))))
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(*.f64 (neg.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64))) (fabs.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 9 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64))
(pow.f64 #s(literal 81 binary64) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
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(exp.f64 (*.f64 (log.f64 #s(literal 9 binary64)) #s(literal 1/4 binary64)))
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#s(literal 3 binary64)
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(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
#s(literal -1 binary64)
y
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(/.f64 (fma.f64 (pow.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (fma.f64 (.f64 z z) y (.f64 (.f64 x x) y)) (.f64 y y)) (.f64 (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (/.f64 (fma.f64 (.f64 z z) y (.f64 (.f64 x x) y)) (.f64 y y)) (.f64 (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y) #s(literal 1/2 binary64))) (.f64 (/.f64 (fma.f64 (.f64 z z) y (.f64 (.f64 x x) y)) (.f64 y y)) (.f64 (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y) #s(literal 1/2 binary64)))) (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (.f64 (/.f64 (fma.f64 (.f64 z z) y (.f64 (.f64 x x) y)) (.f64 y y)) (.f64 (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y) #s(literal 1/2 binary64)))))))
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#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64))))
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#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) (pow.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 1/2 binary64))))
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#s(approx z z)
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#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) z)
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#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) z))
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#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (.f64 (.f64 (*.f64 z z) (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y)) #s(literal -1/2 binary64)))
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#s(approx (/ (+ (* z z) (* x x)) y) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) y (.f64 z z)) (.f64 (.f64 z z) y)) (.f64 z z)))
#s(approx (+ (* z z) (* x x)) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 (.f64 z z) #s(literal 2 binary64))) (.f64 (.f64 z z) #s(literal 2 binary64))) (*.f64 z z)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (/.f64 z (pow.f64 #s(literal 81 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64)))
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#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 z z) #s(literal 2 binary64)) (pow.f64 #s(literal 81 binary64) #s(literal 1/8 binary64)))) z (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))) (.f64 (.f64 z z) (pow.f64 #s(literal 81 binary64) #s(literal 1/8 binary64)))) z (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) z))) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) z) (fma.f64 (/.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 z z) #s(literal 2 binary64)) (pow.f64 #s(literal 81 binary64) #s(literal 1/8 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 z z) #s(literal 3 binary64)) (pow.f64 #s(literal 81 binary64) #s(literal 1/8 binary64)))) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))) (.f64 (.f64 z z) (pow.f64 #s(literal 81 binary64) #s(literal 1/8 binary64)))))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) z))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (.f64 (.f64 #s(literal -1 binary64) z) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))) #s(literal 2 binary64) (.f64 (.f64 z z) #s(literal 2 binary64))) (.f64 (.f64 z z) #s(literal 2 binary64)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (.f64 (.f64 #s(literal -1 binary64) z) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (.f64 z z) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 z z) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))) (*.f64 z z)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (.f64 (.f64 #s(literal -1 binary64) z) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (.f64 z z) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 z z) #s(literal 2 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64))) (.f64 z z) (.f64 (pow.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))))) (.f64 (pow.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 z z))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) z) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) z) (fma.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 z z))) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) z) (fma.f64 (neg.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/8 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64))) (pow.f64 (.f64 z z) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 z z))) #s(literal 1/2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) z) (fma.f64 (neg.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/8 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64))) (pow.f64 (.f64 z z) #s(literal 2 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) (pow.f64 (.f64 z z) #s(literal 3 binary64)))) #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z))) #s(literal 1/2 binary64)))))))

eval62.0ms (1.7%)

Memory: 14.2MiB live, 105.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 21 187 to 2 018 computations (90.5% saved)

prune192.0ms (5.1%)

Memory

19.5MiB live, 358.2MiB allocated; 12ms collecting garbage

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	466	1	467
Fresh	0	5	5
Picked	1	4	5
Done	0	6	6
Total	467	16	483

Accuracy

99.6%

Counts

483 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.4%	(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
	0.8%	(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) z)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
▶	1.2%	(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) y)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
✓	1.7%	(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
✓	97.8%	(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) z) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
▶	5.8%	(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) y) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
✓	3.6%	(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) x) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
✓	49.6%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
✓	97.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z))
▶	5.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y))
✓	3.6%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x))
✓	1.2%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) y) #s(literal -1 binary64)))
▶	0.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z) #s(literal -1 binary64)))
✓	1.2%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
✓	1.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x)))
▶	0.5%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) #s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (fma.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (.f64 z z)) (.f64 y y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64))) (.f64 (.f64 (*.f64 x x) (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y)) #s(literal -1/2 binary64)))))

Compiler

Compiled 566 to 416 computations (26.5% saved)

series134.0ms (3.6%)

Memory

21.1MiB live, 253.5MiB allocated; 16ms collecting garbage

Counts

35 → 154

Calls

Call 1

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y)
(pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
y
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) #s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (fma.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (.f64 z z)) (.f64 y y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64))) (.f64 (.f64 (*.f64 x x) (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y)) #s(literal -1/2 binary64)))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (fma.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (.f64 z z)) (.f64 y y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64))) (.f64 (.f64 (*.f64 x x) (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y)) #s(literal -1/2 binary64))))
(fma.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (.f64 z z)) (.f64 y y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64))) (.f64 (.f64 (*.f64 x x) (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(fma.f64 (/.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (.f64 z z)) (*.f64 y y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)))
(/.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (.f64 z z)) (*.f64 y y))
(.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (.f64 z z))
(pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64))
#s(literal 1/81 binary64)
#s(literal 1/8 binary64)
(*.f64 z z)
z
(*.f64 y y)
(.f64 (.f64 (*.f64 x x) (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y)) #s(literal -1/2 binary64))
(.f64 (.f64 x x) (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y))
(*.f64 x x)
x
(/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y)
#s(literal -1/2 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z) #s(literal -1 binary64))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z)
(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) y) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) y)
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
#s(literal 3 binary64)
(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) y)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) y))

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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (+ (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))) (* -1/2 (/ (* (pow x 2) (sqrt 1/3)) y)))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* (pow 1/81 1/8) (/ (pow z 2) (pow y 2)))) (pow 1/81 1/8))))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (+ (* -1 (* y (+ (* 1/2 (* (pow 1/81 1/8) (/ (pow z 2) (pow y 2)))) (pow 1/81 1/8)))) (* -1/2 (* (pow 1/81 1/8) (/ (pow x 2) y))))))
#s(approx (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2) #s(hole binary64 (* -1/2 (* (pow 1/81 1/8) (/ (pow x 2) y)))))
#s(approx (* (* x x) (/ (pow 1/81 1/8) y)) #s(hole binary64 (* (pow 1/81 1/8) (/ (pow x 2) y))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* (/ 1 (sqrt 3)) (sqrt (+ (pow y 2) (pow z 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (sqrt (+ (pow y 2) (pow z 2)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1/2 (/ (* (pow x 2) (sqrt 1/3)) y))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))) (pow x 2))) (* -1/2 (/ (sqrt 1/3) y))))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (* -1/2 (* (pow 1/81 1/8) (/ (pow x 2) y)))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (* y (+ (* 1/2 (* (pow 1/81 1/8) (/ (pow z 2) (pow y 2)))) (pow 1/81 1/8))) (pow x 2))) (* -1/2 (* (pow 1/81 1/8) (/ 1 y)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (/ x (sqrt 3))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* x (+ (* 1/2 (/ (+ (pow y 2) (pow z 2)) (* (pow x 2) (sqrt 3)))) (/ 1 (sqrt 3))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 x))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (/ x (sqrt 3)))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (/ (+ (pow y 2) (pow z 2)) (* (pow x 2) (sqrt 3)))) (/ 1 (sqrt 3)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 x)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (* (pow 1/3 1/2) y) #s(hole binary64 (* y (sqrt 1/3))))
#s(approx y #s(hole binary64 y))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) y))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (/ (+ (* -1 (* (pow y 2) (sqrt 1/3))) (* -1/2 (* (sqrt 1/3) (+ (pow x 2) (pow z 2))))) y)))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (/ (+ (* -1/2 (* (pow 1/81 1/8) (pow x 2))) (* -1/2 (* (pow 1/81 1/8) (pow z 2)))) y)))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (/ (+ (* -1 (* (pow 1/81 1/8) (pow y 2))) (+ (* -1/2 (* (pow 1/81 1/8) (pow x 2))) (* -1/2 (* (pow 1/81 1/8) (pow z 2))))) y)))
#s(approx (* -1 y) #s(hole binary64 (* -1 y)))
#s(approx (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8)) #s(hole binary64 (* 1/2 (* (pow 1/81 1/8) (/ (pow z 2) (pow y 2))))))
#s(approx (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8)) #s(hole binary64 (/ (+ (* 1/2 (* (pow 1/81 1/8) (pow z 2))) (* (pow 1/81 1/8) (pow y 2))) (pow y 2))))
#s(approx (/ (* (pow 1/81 1/8) (* z z)) (* y y)) #s(hole binary64 (* (pow 1/81 1/8) (/ (pow z 2) (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (/ (pow 1/81 1/8) y) #s(hole binary64 (* (pow 1/81 1/8) (/ 1 y))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* (/ 1 (sqrt 3)) (sqrt (+ (pow x 2) (pow z 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (sqrt (+ (pow x 2) (pow z 2)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1 (* y (sqrt 1/3)))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* y (+ (* -1 (sqrt 1/3)) (* -1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2)))))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (* -1 (* (pow 1/81 1/8) y))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (* y (+ (* -1 (pow 1/81 1/8)) (+ (* -1/2 (* (pow 1/81 1/8) (/ (pow x 2) (pow y 2)))) (* -1/2 (* (pow 1/81 1/8) (/ (pow z 2) (pow y 2)))))))))
#s(approx (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8)) #s(hole binary64 (pow 1/81 1/8)))
#s(approx (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8)) #s(hole binary64 (+ (* 1/2 (* (pow 1/81 1/8) (/ (pow z 2) (pow y 2)))) (pow 1/81 1/8))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (/ y (sqrt 3))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* y (+ (* 1/2 (/ (+ (pow x 2) (pow z 2)) (* (pow y 2) (sqrt 3)))) (/ 1 (sqrt 3))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 y))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* (pow 1/81 1/8) (/ (pow x 2) (pow y 2)))) (+ (* 1/2 (* (pow 1/81 1/8) (/ (pow z 2) (pow y 2)))) (pow 1/81 1/8)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (/ y (sqrt 3)))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (/ (+ (pow x 2) (pow z 2)) (* (pow y 2) (sqrt 3)))) (/ 1 (sqrt 3)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 y)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow x 2) (sqrt 1/3)) (pow y 2))))))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (+ (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow x 2) (sqrt 1/3)) (pow y 2)))))) (* -1/2 (/ (* (pow z 2) (sqrt 1/3)) y)))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (+ (* -1 (* (pow 1/81 1/8) y)) (* -1/2 (* (pow 1/81 1/8) (/ (pow x 2) y))))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (+ (* -1 (* (pow 1/81 1/8) y)) (+ (* -1/2 (* (pow 1/81 1/8) (/ (pow x 2) y))) (* -1/2 (* (pow 1/81 1/8) (/ (pow z 2) y)))))))
#s(approx (* (pow 1/81 1/8) (* z z)) #s(hole binary64 (* (pow 1/81 1/8) (pow z 2))))
#s(approx (* z z) #s(hole binary64 (pow z 2)))
#s(approx z #s(hole binary64 z))
#s(approx (* (* (pow 1/3 1/2) z) -1) #s(hole binary64 (* -1 (* z (sqrt 1/3)))))
#s(approx (* (pow 1/3 1/2) z) #s(hole binary64 (* z (sqrt 1/3))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* (/ 1 (sqrt 3)) (sqrt (+ (pow x 2) (pow y 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (sqrt (+ (pow x 2) (pow y 2)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1/2 (/ (* (pow z 2) (sqrt 1/3)) y))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* (pow z 2) (+ (* -1 (/ (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow x 2) (sqrt 1/3)) (pow y 2))))) (pow z 2))) (* -1/2 (/ (sqrt 1/3) y))))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (* -1/2 (* (pow 1/81 1/8) (/ (pow z 2) y)))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (* (pow z 2) (+ (* -1 (* (pow 1/81 1/8) (/ y (pow z 2)))) (+ (* -1/2 (* (pow 1/81 1/8) (/ 1 y))) (* -1/2 (* (pow 1/81 1/8) (/ (pow x 2) (* y (pow z 2))))))))))
#s(approx (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8)) #s(hole binary64 (* (pow z 2) (+ (* 1/2 (* (pow 1/81 1/8) (/ 1 (pow y 2)))) (* (pow 1/81 1/8) (/ 1 (pow z 2)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (/ z (sqrt 3))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* z (+ (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt 3)))) (/ 1 (sqrt 3))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 z))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (/ z (sqrt 3)))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (* z (+ (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt 3)))) (/ 1 (sqrt 3)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 z)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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
30.0ms	y	@	-inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (pow 1/3 1/2) y) (pow 1/3 1/2) 1/3 1/2 y (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) (* -1 y) -1 (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8)) (/ (* (pow 1/81 1/8) (* z z)) (* y y)) (* (pow 1/81 1/8) (* z z)) (pow 1/81 1/8) 1/81 1/8 (* z z) z (* y y) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2) (* (* x x) (/ (pow 1/81 1/8) y)) (* x x) x (/ (pow 1/81 1/8) y) -1/2 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* (pow 1/3 1/2) z) -1) (* (pow 1/3 1/2) z) (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2) 3 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2))
17.0ms	y	@	inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (pow 1/3 1/2) y) (pow 1/3 1/2) 1/3 1/2 y (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) (* -1 y) -1 (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8)) (/ (* (pow 1/81 1/8) (* z z)) (* y y)) (* (pow 1/81 1/8) (* z z)) (pow 1/81 1/8) 1/81 1/8 (* z z) z (* y y) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2) (* (* x x) (/ (pow 1/81 1/8) y)) (* x x) x (/ (pow 1/81 1/8) y) -1/2 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* (pow 1/3 1/2) z) -1) (* (pow 1/3 1/2) z) (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2) 3 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2))
17.0ms	x	@	0	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (pow 1/3 1/2) y) (pow 1/3 1/2) 1/3 1/2 y (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) (* -1 y) -1 (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8)) (/ (* (pow 1/81 1/8) (* z z)) (* y y)) (* (pow 1/81 1/8) (* z z)) (pow 1/81 1/8) 1/81 1/8 (* z z) z (* y y) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2) (* (* x x) (/ (pow 1/81 1/8) y)) (* x x) x (/ (pow 1/81 1/8) y) -1/2 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* (pow 1/3 1/2) z) -1) (* (pow 1/3 1/2) z) (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2) 3 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2))
13.0ms	x	@	-inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (pow 1/3 1/2) y) (pow 1/3 1/2) 1/3 1/2 y (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) (* -1 y) -1 (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8)) (/ (* (pow 1/81 1/8) (* z z)) (* y y)) (* (pow 1/81 1/8) (* z z)) (pow 1/81 1/8) 1/81 1/8 (* z z) z (* y y) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2) (* (* x x) (/ (pow 1/81 1/8) y)) (* x x) x (/ (pow 1/81 1/8) y) -1/2 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* (pow 1/3 1/2) z) -1) (* (pow 1/3 1/2) z) (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2) 3 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2))
12.0ms	z	@	0	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (pow 1/3 1/2) y) (pow 1/3 1/2) 1/3 1/2 y (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) (* -1 y) -1 (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8)) (/ (* (pow 1/81 1/8) (* z z)) (* y y)) (* (pow 1/81 1/8) (* z z)) (pow 1/81 1/8) 1/81 1/8 (* z z) z (* y y) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2) (* (* x x) (/ (pow 1/81 1/8) y)) (* x x) x (/ (pow 1/81 1/8) y) -1/2 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (* (pow 1/3 1/2) z) -1) (* (pow 1/3 1/2) z) (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2) 3 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2))

rewrite207.0ms (5.5%)

Memory

0.9MiB live, 288.4MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	744	7595
0	778	7047
1	4146	6927
0	8872	5445

Stop Event

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

Counts

189 → 329

Calls

Call 1

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y)
(pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
y
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) #s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (fma.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (.f64 z z)) (.f64 y y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64))) (.f64 (.f64 (*.f64 x x) (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y)) #s(literal -1/2 binary64)))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (fma.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (.f64 z z)) (.f64 y y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64))) (.f64 (.f64 (*.f64 x x) (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y)) #s(literal -1/2 binary64))))
(fma.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (.f64 z z)) (.f64 y y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64))) (.f64 (.f64 (*.f64 x x) (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(fma.f64 (/.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (.f64 z z)) (*.f64 y y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)))
(/.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (.f64 z z)) (*.f64 y y))
(.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (.f64 z z))
(pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64))
#s(literal 1/81 binary64)
#s(literal 1/8 binary64)
(*.f64 z z)
z
(*.f64 y y)
(.f64 (.f64 (*.f64 x x) (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y)) #s(literal -1/2 binary64))
(.f64 (.f64 x x) (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y))
(*.f64 x x)
x
(/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y)
#s(literal -1/2 binary64)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z) #s(literal -1 binary64))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z)
(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) y) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) y)
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
#s(literal 3 binary64)
(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) y)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) y))
#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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (+ (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2)))))) (* -1/2 (/ (* (pow x 2) (sqrt 1/3)) y)))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* (pow 1/81 1/8) (/ (pow z 2) (pow y 2)))) (pow 1/81 1/8))))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (+ (* -1 (* y (+ (* 1/2 (* (pow 1/81 1/8) (/ (pow z 2) (pow y 2)))) (pow 1/81 1/8)))) (* -1/2 (* (pow 1/81 1/8) (/ (pow x 2) y))))))
#s(approx (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2) #s(hole binary64 (* -1/2 (* (pow 1/81 1/8) (/ (pow x 2) y)))))
#s(approx (* (* x x) (/ (pow 1/81 1/8) y)) #s(hole binary64 (* (pow 1/81 1/8) (/ (pow x 2) y))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* (/ 1 (sqrt 3)) (sqrt (+ (pow y 2) (pow z 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (sqrt (+ (pow y 2) (pow z 2)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1/2 (/ (* (pow x 2) (sqrt 1/3)) y))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow z 2) (sqrt 1/3)) (pow y 2))))) (pow x 2))) (* -1/2 (/ (sqrt 1/3) y))))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (* -1/2 (* (pow 1/81 1/8) (/ (pow x 2) y)))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (* y (+ (* 1/2 (* (pow 1/81 1/8) (/ (pow z 2) (pow y 2)))) (pow 1/81 1/8))) (pow x 2))) (* -1/2 (* (pow 1/81 1/8) (/ 1 y)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (/ x (sqrt 3))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* x (+ (* 1/2 (/ (+ (pow y 2) (pow z 2)) (* (pow x 2) (sqrt 3)))) (/ 1 (sqrt 3))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 x))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (/ x (sqrt 3)))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (/ (+ (pow y 2) (pow z 2)) (* (pow x 2) (sqrt 3)))) (/ 1 (sqrt 3)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 x)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2))))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (* (pow 1/3 1/2) y) #s(hole binary64 (* y (sqrt 1/3))))
#s(approx y #s(hole binary64 y))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) y))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (/ (+ (* -1 (* (pow y 2) (sqrt 1/3))) (* -1/2 (* (sqrt 1/3) (+ (pow x 2) (pow z 2))))) y)))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (/ (+ (* -1/2 (* (pow 1/81 1/8) (pow x 2))) (* -1/2 (* (pow 1/81 1/8) (pow z 2)))) y)))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (/ (+ (* -1 (* (pow 1/81 1/8) (pow y 2))) (+ (* -1/2 (* (pow 1/81 1/8) (pow x 2))) (* -1/2 (* (pow 1/81 1/8) (pow z 2))))) y)))
#s(approx (* -1 y) #s(hole binary64 (* -1 y)))
#s(approx (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8)) #s(hole binary64 (* 1/2 (* (pow 1/81 1/8) (/ (pow z 2) (pow y 2))))))
#s(approx (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8)) #s(hole binary64 (/ (+ (* 1/2 (* (pow 1/81 1/8) (pow z 2))) (* (pow 1/81 1/8) (pow y 2))) (pow y 2))))
#s(approx (/ (* (pow 1/81 1/8) (* z z)) (* y y)) #s(hole binary64 (* (pow 1/81 1/8) (/ (pow z 2) (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (/ (pow 1/81 1/8) y) #s(hole binary64 (* (pow 1/81 1/8) (/ 1 y))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* (/ 1 (sqrt 3)) (sqrt (+ (pow x 2) (pow z 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (sqrt (+ (pow x 2) (pow z 2)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1 (* y (sqrt 1/3)))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* y (+ (* -1 (sqrt 1/3)) (* -1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2)))))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (* -1 (* (pow 1/81 1/8) y))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (* y (+ (* -1 (pow 1/81 1/8)) (+ (* -1/2 (* (pow 1/81 1/8) (/ (pow x 2) (pow y 2)))) (* -1/2 (* (pow 1/81 1/8) (/ (pow z 2) (pow y 2)))))))))
#s(approx (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8)) #s(hole binary64 (pow 1/81 1/8)))
#s(approx (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8)) #s(hole binary64 (+ (* 1/2 (* (pow 1/81 1/8) (/ (pow z 2) (pow y 2)))) (pow 1/81 1/8))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (/ y (sqrt 3))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* y (+ (* 1/2 (/ (+ (pow x 2) (pow z 2)) (* (pow y 2) (sqrt 3)))) (/ 1 (sqrt 3))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 y))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (sqrt 1/3) (+ (pow x 2) (pow z 2))) (pow y 2))))))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* (pow 1/81 1/8) (/ (pow x 2) (pow y 2)))) (+ (* 1/2 (* (pow 1/81 1/8) (/ (pow z 2) (pow y 2)))) (pow 1/81 1/8)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (/ y (sqrt 3)))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (/ (+ (pow x 2) (pow z 2)) (* (pow y 2) (sqrt 3)))) (/ 1 (sqrt 3)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 y)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow x 2) (sqrt 1/3)) (pow y 2))))))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (+ (* -1 (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow x 2) (sqrt 1/3)) (pow y 2)))))) (* -1/2 (/ (* (pow z 2) (sqrt 1/3)) y)))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (+ (* -1 (* (pow 1/81 1/8) y)) (* -1/2 (* (pow 1/81 1/8) (/ (pow x 2) y))))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (+ (* -1 (* (pow 1/81 1/8) y)) (+ (* -1/2 (* (pow 1/81 1/8) (/ (pow x 2) y))) (* -1/2 (* (pow 1/81 1/8) (/ (pow z 2) y)))))))
#s(approx (* (pow 1/81 1/8) (* z z)) #s(hole binary64 (* (pow 1/81 1/8) (pow z 2))))
#s(approx (* z z) #s(hole binary64 (pow z 2)))
#s(approx z #s(hole binary64 z))
#s(approx (* (* (pow 1/3 1/2) z) -1) #s(hole binary64 (* -1 (* z (sqrt 1/3)))))
#s(approx (* (pow 1/3 1/2) z) #s(hole binary64 (* z (sqrt 1/3))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* (/ 1 (sqrt 3)) (sqrt (+ (pow x 2) (pow y 2))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (sqrt (+ (pow x 2) (pow y 2)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* -1/2 (/ (* (pow z 2) (sqrt 1/3)) y))))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) #s(hole binary64 (* (pow z 2) (+ (* -1 (/ (* y (+ (sqrt 1/3) (* 1/2 (/ (* (pow x 2) (sqrt 1/3)) (pow y 2))))) (pow z 2))) (* -1/2 (/ (sqrt 1/3) y))))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (* -1/2 (* (pow 1/81 1/8) (/ (pow z 2) y)))))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) #s(hole binary64 (* (pow z 2) (+ (* -1 (* (pow 1/81 1/8) (/ y (pow z 2)))) (+ (* -1/2 (* (pow 1/81 1/8) (/ 1 y))) (* -1/2 (* (pow 1/81 1/8) (/ (pow x 2) (* y (pow z 2))))))))))
#s(approx (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8)) #s(hole binary64 (* (pow z 2) (+ (* 1/2 (* (pow 1/81 1/8) (/ 1 (pow y 2)))) (* (pow 1/81 1/8) (/ 1 (pow z 2)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (/ z (sqrt 3))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* z (+ (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt 3)))) (/ 1 (sqrt 3))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 z))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (/ z (sqrt 3)))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #s(hole binary64 (* -1 (* z (+ (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt 3)))) (/ 1 (sqrt 3)))))))
#s(approx (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (/ (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow 3 1/2)) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 z)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #s(hole binary64 (* -1 (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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 (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) #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
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) y))
(*.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64))
(pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))))
(sqrt.f64 #s(literal 1/3 binary64))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
y
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) #s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 1/6561 binary64) #s(literal 1/16 binary64))) (/.f64 (.f64 x x) y) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/6561 binary64) #s(literal 1/16 binary64))) (/.f64 (.f64 z z) (.f64 y y)) (pow.f64 #s(literal 1/6561 binary64) #s(literal 1/16 binary64))) (*.f64 #s(literal -1 binary64) y)))))
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#s(approx (* (pow 1/3 1/2) y) (*.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) y))
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#s(approx (* (pow 1/81 1/8) (* z z)) (.f64 (.f64 (pow.f64 #s(literal 1/6561 binary64) #s(literal 1/16 binary64)) z) z))
#s(approx (* z z) (*.f64 z z))
#s(approx z z)
#s(approx (* (* (pow 1/3 1/2) z) -1) (.f64 (.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)))
#s(approx (* (pow 1/3 1/2) z) (*.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (fma.f64 (.f64 (/.f64 (.f64 z z) (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 z z) (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (.f64 z z) (.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 z z) (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (.f64 z z) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (.f64 z z) (.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 z z)) (pow.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 z z) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 z z)) (pow.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) (.f64 z z) (.f64 (pow.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 z z) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (.f64 z z)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (fma.f64 (neg.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (pow.f64 (.f64 z z) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (.f64 z z)) #s(literal 1/2 binary64)))) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (fma.f64 (neg.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (pow.f64 (.f64 z z) #s(literal 2 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (pow.f64 (.f64 z z) #s(literal 3 binary64))) #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (*.f64 z z)) #s(literal 1/2 binary64))))) z))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (.f64 (.f64 (*.f64 z z) (/.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) y)) #s(literal -1/2 binary64)))
#s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (.f64 (fma.f64 (/.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) y) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (.f64 (.f64 x x) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (.f64 y y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))) (.f64 z z))) (.f64 z z)))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 1/6561 binary64) #s(literal 1/16 binary64))) (/.f64 (*.f64 z z) y)))
#s(approx (+ (* (* -1 y) (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8))) (* (* (* x x) (/ (pow 1/81 1/8) y)) -1/2)) (.f64 (fma.f64 (.f64 (pow.f64 #s(literal 1/6561 binary64) #s(literal 1/16 binary64)) #s(literal -1 binary64)) (/.f64 y (.f64 z z)) (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 1/6561 binary64) #s(literal 1/16 binary64))) (/.f64 (/.f64 (.f64 x x) y) (.f64 z z)) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 1/6561 binary64) #s(literal 1/16 binary64))) (pow.f64 y #s(literal -1 binary64))))) (*.f64 z z)))
#s(approx (+ (* (/ (* (pow 1/81 1/8) (* z z)) (* y y)) 1/2) (pow 1/81 1/8)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/6561 binary64) #s(literal 1/16 binary64))) (pow.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 z z) #s(literal -1 binary64)) (pow.f64 #s(literal 1/6561 binary64) #s(literal 1/16 binary64)))) (.f64 z z)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/.f64 z (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) (.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) (.f64 z z))) z (*.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) z)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 z z) #s(literal 2 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)))) z (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) (.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) (.f64 z z))) z (*.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) z))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 z z) #s(literal 2 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 z z) #s(literal 3 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)))) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) (.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) (*.f64 z z)))))) z))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) z)
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) #s(literal 2 binary64) (.f64 (.f64 z z) #s(literal 2 binary64))) (.f64 (*.f64 z z) #s(literal 2 binary64))) z))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (.f64 z z) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 z z) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) (.f64 z z))) z))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (.f64 z z) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 z z) #s(literal 2 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64))) (.f64 z z) (.f64 (pow.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))))) (.f64 (pow.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 z z)))) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) z) (fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (*.f64 z z)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) z) (fma.f64 (neg.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (pow.f64 (.f64 z z) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (*.f64 z z)) #s(literal 1/2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) z) (fma.f64 (neg.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (pow.f64 (.f64 z z) #s(literal 2 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (pow.f64 (.f64 z z) #s(literal 3 binary64))) #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))) (.f64 z z)) #s(literal 1/2 binary64)))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (/.f64 z (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) z) (fma.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) (.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) (.f64 z z))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 z z) #s(literal 2 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)))) z (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) (.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) (.f64 z z))) z (.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64)) z))) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) z) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 z z) #s(literal 2 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 z z) #s(literal 3 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)))) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) (.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) (.f64 z z))))))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) z))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (.f64 (.f64 #s(literal -1 binary64) z) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) #s(literal 2 binary64) (.f64 (.f64 z z) #s(literal 2 binary64))) (.f64 (.f64 z z) #s(literal 2 binary64)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (.f64 (.f64 #s(literal -1 binary64) z) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (.f64 z z) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 z z) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))) (*.f64 z z)))))
#s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (.f64 (.f64 #s(literal -1 binary64) z) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (.f64 z z) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 z z) #s(literal 2 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64))) (.f64 z z) (.f64 (pow.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 y y (.f64 x x))))) (.f64 (pow.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 z z))))))

eval121.0ms (3.2%)

Memory: -37.0MiB live, 105.7MiB allocated; 14ms collecting garbage
Compiler: Compiled 23 763 to 1 762 computations (92.6% saved)

prune270.0ms (7.2%)

Memory

-18.3MiB live, 423.2MiB allocated; 60ms collecting garbage

Pruning

16 alts after pruning (2 fresh and 14 done)

	Pruned	Kept	Total
New	406	1	407
Fresh	0	1	1
Picked	0	5	5
Done	1	9	10
Total	407	16	423

Accuracy

99.6%

Counts

423 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.4%	(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
	0.8%	(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) z)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
	1.2%	(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) y)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	1.2%	(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) y)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
✓	1.7%	(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
✓	97.8%	(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) z) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
✓	5.8%	(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) y) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
✓	3.6%	(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) x) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
✓	49.6%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
✓	97.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z))
✓	5.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y))
✓	3.6%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x))
✓	0.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z) #s(literal -1 binary64)))
✓	1.2%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
✓	1.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x)))
✓	0.5%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) #s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (fma.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (.f64 z z)) (.f64 y y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64))) (.f64 (.f64 (*.f64 x x) (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y)) #s(literal -1/2 binary64)))))

Compiler

Compiled 834 to 393 computations (52.9% saved)

regimes52.0ms (1.4%)

Memory

41.8MiB live, 89.4MiB allocated; 1ms collecting garbage

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) #s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (fma.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (.f64 z z)) (.f64 y y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64))) (.f64 (.f64 (*.f64 x x) (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y)) #s(literal -1/2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (.f64 (/.f64 (fma.f64 z z (.f64 x x)) y) (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) y) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) x) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) y) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) z) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) y)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) y)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) (*.f64 #s(literal -1 binary64) z)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))

Outputs
(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) z) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))

Calls

10 calls:

6.0ms	z
5.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
5.0ms	x
5.0ms	y
5.0ms	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
97.8%	1	`(*.f64 z z)`
97.8%	1	`(*.f64 y y)`
97.8%	1	`(*.f64 x x)`
97.8%	1	`(+.f64 (.f64 x x) (.f64 y y))`
97.8%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
97.8%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
97.8%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
97.8%	1	`x`
97.8%	1	`y`
97.8%	1	`z`

Compiler

Compiled 57 to 56 computations (1.8% saved)

regimes42.0ms (1.1%)

Memory

-1.6MiB live, 94.0MiB allocated; 4ms collecting garbage

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) #s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (fma.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (.f64 z z)) (.f64 y y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64))) (.f64 (.f64 (*.f64 x x) (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y)) #s(literal -1/2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (.f64 (/.f64 (fma.f64 z z (.f64 x x)) y) (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) y) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) x) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(approx (pow (+ (* (neg z) (neg z)) (+ (* y y) (* x x))) 1/2) y) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))

Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z))

Calls

10 calls:

6.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
5.0ms	z
4.0ms	y
4.0ms	x
4.0ms	(+.f64 (.f64 x x) (.f64 y y))

Results

Accuracy	Segments	Branch
97.8%	1	`(*.f64 z z)`
97.8%	1	`(*.f64 y y)`
97.8%	1	`(*.f64 x x)`
97.8%	1	`(+.f64 (.f64 x x) (.f64 y y))`
97.8%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
97.8%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
97.8%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
97.8%	1	`x`
97.8%	1	`y`
97.8%	1	`z`

Compiler

Compiled 57 to 56 computations (1.8% saved)

regimes32.0ms (0.8%)

Memory

-25.3MiB live, 68.9MiB allocated; 3ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) #s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (fma.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (.f64 z z)) (.f64 y y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64))) (.f64 (.f64 (*.f64 x x) (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y)) #s(literal -1/2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (.f64 (/.f64 (fma.f64 z z (.f64 x x)) y) (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) y) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y))

Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y))

Calls

10 calls:

4.0ms	y
4.0ms	(*.f64 y y)
3.0ms	x
3.0ms	z
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
5.8%	1	`(*.f64 z z)`
5.8%	1	`(*.f64 y y)`
5.8%	1	`(*.f64 x x)`
5.8%	1	`(+.f64 (.f64 x x) (.f64 y y))`
5.8%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
5.8%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
5.8%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
5.8%	1	`x`
5.8%	1	`y`
5.8%	1	`z`

Compiler

Compiled 57 to 56 computations (1.8% saved)

regimes27.0ms (0.7%)

Memory

17.0MiB live, 63.9MiB allocated; 2ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) #s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (fma.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (.f64 z z)) (.f64 y y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64))) (.f64 (.f64 (*.f64 x x) (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y)) #s(literal -1/2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (.f64 (/.f64 (fma.f64 z z (.f64 x x)) y) (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) y) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x))

Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x))

Calls

10 calls:

3.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
3.0ms	x
3.0ms	y
3.0ms	z
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
3.6%	1	`(*.f64 y y)`
3.6%	1	`(+.f64 (.f64 x x) (.f64 y y))`
3.6%	1	`y`
3.6%	1	`(*.f64 z z)`
3.6%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
3.6%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
3.6%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
3.6%	1	`z`
3.6%	1	`(*.f64 x x)`
3.6%	1	`x`

Compiler

Compiled 57 to 56 computations (1.8% saved)

regimes68.0ms (1.8%)

Memory

8.7MiB live, 57.6MiB allocated; 3ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) #s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (fma.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (.f64 z z)) (.f64 y y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64))) (.f64 (.f64 (*.f64 x x) (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y)) #s(literal -1/2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (.f64 (/.f64 (fma.f64 z z (.f64 x x)) y) (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) z) #s(literal -1 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (.f64 (pow.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) y) #s(literal -1 binary64)))

Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 binary64)) x)))

Calls

10 calls:

47.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
2.0ms	x
2.0ms	z
2.0ms	y
2.0ms	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
1.7%	1	`(*.f64 x x)`
1.7%	1	`x`
1.7%	1	`(*.f64 y y)`
1.7%	1	`(+.f64 (.f64 x x) (.f64 y y))`
1.7%	1	`y`
1.7%	1	`(*.f64 z z)`
1.7%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
1.7%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
1.7%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
1.7%	1	`z`

Compiler

Compiled 57 to 56 computations (1.8% saved)

regimes37.0ms (1%)

Memory

-11.0MiB live, 36.8MiB 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)) #s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (fma.f64 (*.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (*.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (*.f64 z z)) (*.f64 y y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x x) (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y)) #s(literal -1/2 binary64)))))

Outputs

#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) #s(approx (* (* -1 y) (+ (* (* (/ (+ (* z z) (* x x)) y) (/ (pow 1/3 1/2) y)) 1/2) (pow 1/3 1/2))) (fma.f64 (*.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (*.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) (*.f64 z z)) (*.f64 y y)) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x x) (/.f64 (pow.f64 #s(literal 1/81 binary64) #s(literal 1/8 binary64)) y)) #s(literal -1/2 binary64)))))

Calls

10 calls:

27.0ms	(*.f64 y y)
1.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
0.5%	1	`z`
0.5%	1	`(*.f64 z z)`
0.5%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0.5%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
0.5%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
0.5%	1	`y`
0.5%	1	`(*.f64 y y)`
0.5%	1	`(+.f64 (.f64 x x) (.f64 y y))`
0.5%	1	`(*.f64 x x)`
0.5%	1	`x`

Compiler

Compiled 57 to 56 computations (1.8% saved)

derivations244.0ms (6.5%)

Memory

-19.6MiB live, 316.2MiB allocated; 25ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 175 to 61 computations (65.1% saved)

preprocess123.0ms (3.3%)

Memory

25.0MiB live, 309.9MiB allocated; 11ms collecting garbage

Remove

(abs z)

(abs y)

(abs x)

(sort x y z)

Compiler

Compiled 2 574 to 1 680 computations (34.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample814.0ms (21.8%)

explain154.0ms (4.1%)

preprocess19.0ms (0.5%)

series19.0ms (0.5%)

rewrite168.0ms (4.5%)

eval44.0ms (1.2%)

prune75.0ms (2%)

series24.0ms (0.6%)

rewrite183.0ms (4.9%)

eval60.0ms (1.6%)

prune213.0ms (5.7%)

series117.0ms (3.1%)

rewrite238.0ms (6.4%)

eval62.0ms (1.7%)

prune192.0ms (5.1%)

series134.0ms (3.6%)

rewrite207.0ms (5.5%)

eval121.0ms (3.2%)

prune270.0ms (7.2%)

regimes52.0ms (1.4%)

regimes42.0ms (1.1%)

regimes32.0ms (0.8%)

regimes27.0ms (0.7%)

regimes68.0ms (1.8%)

regimes37.0ms (1%)

derivations244.0ms (6.5%)

preprocess123.0ms (3.3%)

end0.0ms (0%)

Profiling