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

analyze2.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB 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)

sample1.5s (49.2%)

Memory

29.0MiB live, 1 651.5MiB allocated; 368ms collecting garbage

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 821.0ms

ival-add: 324.0ms (39.4% of total)

ival-mult: 223.0ms (27.1% of total)

ival-sqrt: 186.0ms (22.6% of total)

ival-div: 77.0ms (9.4% of total)

exact: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

explain206.0ms (6.8%)

Memory

-41.8MiB live, 402.0MiB allocated; 76ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
162	-	1	(-1.4595408612525544e-198 6.018067288745556e-157 -1.685199830428525e-251)	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
2	-	0	-	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y y)`
0	-	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	154	0
↳	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	156
↳	`(*.f64 y y)`	overflow	61
↳	`(*.f64 x x)`	overflow	63
↳	`(*.f64 z z)`	overflow	71
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	113
↳	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`	overflow	154
`sqrt.f64`	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`	uflow-rescue	7	0
↳	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	7
↳	`(*.f64 y y)`	underflow	67
↳	`(*.f64 x x)`	underflow	60
↳	`(*.f64 z z)`	underflow	52
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	19
↳	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`	underflow	7
`/.f64`	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`	o/n	2	0
↳	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	156
↳	`(*.f64 y y)`	overflow	61
↳	`(*.f64 x x)`	overflow	63
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	113
↳	`(*.f64 z z)`	overflow	71

Confusion

	Predicted +	Predicted -
+	163	1
-	0	92

Precision

1.0

Recall

0.9939024390243902

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	163	0	1
-	0	0	92

Precision?

1.0

Recall?

0.9939024390243902

Freqs

test

number	freq
0	93
1	163

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 134 to 37 computations (72.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 11.0ms (45.9% of total)

ival-add: 5.0ms (20.9% of total)

ival-div: 4.0ms (16.7% of total)

ival-sqrt: 4.0ms (16.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess41.0ms (1.3%)

Memory

17.7MiB live, 63.6MiB allocated; 12ms 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
0	11	14
0	18	14
1	41	14
2	135	14
3	372	14
4	641	14
5	756	14
6	775	14
0	775	12

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

(abs y)

(abs z)

(sort x y z)

Compiler

Compiled 14 to 11 computations (21.4% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.5%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))

Compiler

Compiled 14 to 11 computations (21.4% saved)

series22.0ms (0.7%)

Memory

-3.4MiB live, 41.0MiB allocated; 5ms 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
7.0ms	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)
2.0ms	x	@	inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+ (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) x (* y y) y (* z z) z 3)

rewrite171.0ms (5.6%)

Memory

7.9MiB live, 289.3MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

80 → 195

Calls

Call 1

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

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

eval26.0ms (0.8%)

Memory: -1.9MiB live, 52.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 883 to 904 computations (81.5% saved)

prune30.0ms (1%)

Memory

-28.8MiB live, 18.3MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	194	6	200
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	195	6	201

Accuracy

99.7%

Counts

201 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.4%	(/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
▶	40.0%	(sqrt.f64 (/.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z)) #s(literal 3 binary64)))
▶	40.5%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))))
▶	40.0%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 z z) #s(literal 1/3 binary64))))
▶	99.5%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 1/3 binary64))))
▶	97.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))

Compiler

Compiled 228 to 170 computations (25.4% saved)

series19.0ms (0.6%)

Memory

32.0MiB live, 32.0MiB allocated; 0ms collecting garbage

Counts

22 → 118

Calls

Call 1

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

Calls

9 calls:

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

rewrite192.0ms (6.3%)

Memory

6.0MiB live, 273.2MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	543	4006
0	561	3782
1	3002	3779
0	8246	3511

Stop Event

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

Counts

140 → 342

Calls

Call 1

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

Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(pow.f64 (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/3 binary64)) (.f64 (.f64 z z) #s(literal 1/3 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 6 binary64)) (.f64 #s(literal 1/27 binary64) (pow.f64 z #s(literal 6 binary64))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (.f64 y y) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y y) #s(literal 1/3 binary64)) (.f64 (.f64 z z) #s(literal 1/3 binary64)))))))
(sqrt.f64 (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64)))
(pow.f64 (hypot.f64 z y) #s(literal 1 binary64))
(pow.f64 (fma.f64 z z (*.f64 y y)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (.f64 z z) (.f64 y y))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))))
(/.f64 (hypot.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))))
(sqrt.f64 (fma.f64 z z (*.f64 y y)))
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z)))
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 (fabs.f64 z)))
(hypot.f64 (neg.f64 (neg.f64 y)) (fabs.f64 (fabs.f64 z)))
(hypot.f64 (neg.f64 (neg.f64 y)) (exp.f64 (log.f64 z)))
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 z))
(hypot.f64 (neg.f64 (neg.f64 y)) (fabs.f64 z))
(hypot.f64 (neg.f64 (neg.f64 y)) z)
(hypot.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (neg.f64 z)))
(hypot.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 z)))
(hypot.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 z)))
(hypot.f64 (neg.f64 (fabs.f64 y)) (exp.f64 (log.f64 z)))
(hypot.f64 (neg.f64 (fabs.f64 y)) (neg.f64 z))
(hypot.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 z))
(hypot.f64 (neg.f64 (fabs.f64 y)) z)
(hypot.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 z)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 z)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 z)) (exp.f64 (log.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 z)) (neg.f64 y))
(hypot.f64 (neg.f64 (neg.f64 z)) (fabs.f64 y))
(hypot.f64 (neg.f64 (neg.f64 z)) y)
(hypot.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (neg.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 z)) (exp.f64 (log.f64 y)))
(hypot.f64 (neg.f64 (fabs.f64 z)) (neg.f64 y))
(hypot.f64 (neg.f64 (fabs.f64 z)) (fabs.f64 y))
(hypot.f64 (neg.f64 (fabs.f64 z)) y)
(hypot.f64 (fabs.f64 (fabs.f64 y)) (neg.f64 (neg.f64 z)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 z)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 z)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (exp.f64 (log.f64 z)))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (neg.f64 z))
(hypot.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 z))
(hypot.f64 (fabs.f64 (fabs.f64 y)) z)
(hypot.f64 (fabs.f64 (fabs.f64 z)) (neg.f64 (neg.f64 y)))
(hypot.f64 (fabs.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (fabs.f64 (fabs.f64 z)) (exp.f64 (log.f64 y)))
(hypot.f64 (fabs.f64 (fabs.f64 z)) (neg.f64 y))
(hypot.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 y))
(hypot.f64 (fabs.f64 (fabs.f64 z)) y)
(hypot.f64 (exp.f64 (log.f64 y)) (neg.f64 (neg.f64 z)))
(hypot.f64 (exp.f64 (log.f64 y)) (neg.f64 (fabs.f64 z)))
(hypot.f64 (exp.f64 (log.f64 y)) (fabs.f64 (fabs.f64 z)))
(hypot.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 z)))
(hypot.f64 (exp.f64 (log.f64 y)) (neg.f64 z))
(hypot.f64 (exp.f64 (log.f64 y)) (fabs.f64 z))
(hypot.f64 (exp.f64 (log.f64 y)) z)
(hypot.f64 (exp.f64 (log.f64 z)) (neg.f64 (neg.f64 y)))
(hypot.f64 (exp.f64 (log.f64 z)) (neg.f64 (fabs.f64 y)))
(hypot.f64 (exp.f64 (log.f64 z)) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 y)))
(hypot.f64 (exp.f64 (log.f64 z)) (neg.f64 y))
(hypot.f64 (exp.f64 (log.f64 z)) (fabs.f64 y))
(hypot.f64 (exp.f64 (log.f64 z)) y)
(hypot.f64 (neg.f64 y) (neg.f64 (neg.f64 z)))
(hypot.f64 (neg.f64 y) (neg.f64 (fabs.f64 z)))
(hypot.f64 (neg.f64 y) (fabs.f64 (fabs.f64 z)))
(hypot.f64 (neg.f64 y) (exp.f64 (log.f64 z)))
(hypot.f64 (neg.f64 y) (neg.f64 z))
(hypot.f64 (neg.f64 y) (fabs.f64 z))
(hypot.f64 (neg.f64 y) z)
(hypot.f64 (neg.f64 z) (neg.f64 (neg.f64 y)))
(hypot.f64 (neg.f64 z) (neg.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 z) (fabs.f64 (fabs.f64 y)))
(hypot.f64 (neg.f64 z) (exp.f64 (log.f64 y)))
(hypot.f64 (neg.f64 z) (neg.f64 y))
(hypot.f64 (neg.f64 z) (fabs.f64 y))
(hypot.f64 (neg.f64 z) y)
(hypot.f64 (fabs.f64 y) (neg.f64 (neg.f64 z)))
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#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 z z (.f64 x x)) #s(literal -5/2 binary64)) (.f64 (.f64 y y) (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 (fma.f64 z z (.f64 x x)) #s(literal -3/2 binary64)))) (.f64 y y) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 (hypot.f64 z x) #s(literal -1 binary64)))) (.f64 y y) (.f64 (hypot.f64 z x) (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (fma.f64 (.f64 (.f64 y y) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1/2 binary64))) (.f64 y y) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (.f64 y y) (.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1/2 binary64))) (.f64 y y) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
#s(approx (sqrt (+ (* z z) (* y y))) z)
#s(approx (sqrt (+ (* z z) (* y y))) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64) z))
#s(approx (sqrt (+ (* z z) (* y y))) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) z)) (.f64 y y) z))
#s(approx (sqrt (+ (* z z) (* y y))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 y y) (pow.f64 z #s(literal 5 binary64))) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal -3 binary64)))) (.f64 y y) (/.f64 #s(literal 1/2 binary64) z)) (.f64 y y) z))
#s(approx y y)
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 x x)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 #s(literal 1/3 binary64) (+.f64 (fma.f64 z z (.f64 x x)) (*.f64 y y))))
#s(approx (* (+ (* z z) (* y y)) 1/3) (.f64 (.f64 z z) #s(literal 1/3 binary64)))
#s(approx (* (+ (* z z) (* y y)) 1/3) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64)))
#s(approx (+ (* z z) (* y y)) (*.f64 z z))
#s(approx (+ (* z z) (* y y)) (fma.f64 z z (*.f64 y y)))
#s(approx (* y y) (*.f64 y y))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 z z (*.f64 x x)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (fma.f64 (/.f64 (.f64 (fma.f64 z z (.f64 x x)) (sqrt.f64 #s(literal 1/3 binary64))) (.f64 y y)) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/3 binary64))) y))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 z z (.f64 x x)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (fma.f64 z z (.f64 x x)) (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 y y)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/3 binary64))) y))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 z z (.f64 x x)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 z z (.f64 x x)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 (fma.f64 z z (.f64 x x)) (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 y y)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))) y))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (.f64 (fma.f64 (/.f64 (.f64 (.f64 z z) (sqrt.f64 #s(literal 1/3 binary64))) (.f64 y y)) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/3 binary64))) y))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 z z) (sqrt.f64 #s(literal 1/3 binary64))) (.f64 y y)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/3 binary64))) y))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 (.f64 z z) (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 y y)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))) y))
#s(approx (sqrt (+ (* z z) (* y y))) y)
#s(approx (sqrt (+ (* z z) (* y y))) (.f64 (fma.f64 (/.f64 (.f64 z z) (*.f64 y y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) y))
#s(approx (sqrt (+ (* z z) (* y y))) (.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) (.f64 y y))) #s(literal 1 binary64)) y))
#s(approx (sqrt (+ (* z z) (* y y))) (.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) (.f64 y y)))) #s(literal 1 binary64)) 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 (fma.f64 z z (.f64 x x)) (.f64 y y)) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) (.f64 y y)))
#s(approx (* (+ (* z z) (* y y)) 1/3) (.f64 (.f64 y y) #s(literal 1/3 binary64)))
#s(approx (* (+ (* z z) (* y y)) 1/3) (.f64 (fma.f64 (/.f64 (.f64 z z) (.f64 y y)) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) (.f64 y y)))
#s(approx (+ (* z z) (* y y)) (*.f64 y y))
#s(approx (+ (* z z) (* y y)) (.f64 (+.f64 (/.f64 (.f64 z z) (.f64 y y)) #s(literal 1 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 (/.f64 (fma.f64 z z (.f64 x x)) (.f64 y y)) #s(literal 1 binary64)) (.f64 y y)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (neg.f64 y) (fma.f64 (/.f64 (.f64 (fma.f64 z z (.f64 x x)) (sqrt.f64 #s(literal 1/3 binary64))) (.f64 y y)) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 z z (.f64 x x)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (fma.f64 z z (.f64 x x)) (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 y y)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 z z (.f64 x x)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 z z (.f64 x x)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 (fma.f64 z z (.f64 x x)) (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 y y)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (.f64 (neg.f64 y) (fma.f64 (/.f64 (.f64 (.f64 z z) (sqrt.f64 #s(literal 1/3 binary64))) (.f64 y y)) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 z z) (sqrt.f64 #s(literal 1/3 binary64))) (.f64 y y)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 (.f64 z z) (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 y y)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (+ (* z z) (* y y))) (neg.f64 y))
#s(approx (sqrt (+ (* z z) (* y y))) (.f64 (neg.f64 y) (fma.f64 (/.f64 (.f64 z z) (*.f64 y y)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* z z) (* y y))) (.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) (.f64 y y))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* z z) (* y y))) (.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) (.f64 y y)))) #s(literal 1 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 y x) (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (fma.f64 (.f64 (pow.f64 (hypot.f64 y x) #s(literal -1 binary64)) (.f64 (.f64 z z) (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1/2 binary64) (.f64 (hypot.f64 y x) (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (fma.f64 (fma.f64 (.f64 (pow.f64 (hypot.f64 y x) #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -3/2 binary64)) (.f64 (.f64 z z) (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal -1/8 binary64))) (.f64 z z) (.f64 (hypot.f64 y x) (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -5/2 binary64)) (.f64 (.f64 z z) (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -3/2 binary64)))) (.f64 z z) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 (hypot.f64 y x) #s(literal -1 binary64)))) (.f64 z z) (.f64 (hypot.f64 y x) (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (fma.f64 (.f64 (.f64 z z) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 z z) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) #s(literal 1/2 binary64))) (.f64 z z) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 z z) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (.f64 z z) (.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) #s(literal 1/2 binary64))) (.f64 z z) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))
#s(approx (sqrt (+ (* z z) (* y y))) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64) y))
#s(approx (sqrt (+ (* z z) (* y y))) (fma.f64 (fma.f64 (/.f64 (.f64 z z) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)) (.f64 z z) y))
#s(approx (sqrt (+ (* z z) (* y y))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 z z) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal -3 binary64)))) (.f64 z z) (/.f64 #s(literal 1/2 binary64) y)) (.f64 z z) y))
#s(approx z z)
#s(approx (* (sqrt 1/3) z) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 #s(literal 1/3 binary64) (fma.f64 z z (fma.f64 y y (.f64 x x)))))
#s(approx (* (* z z) 1/3) (.f64 (.f64 z z) #s(literal 1/3 binary64)))
#s(approx (* z z) (*.f64 z z))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (fma.f64 y y (*.f64 x x)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (sqrt.f64 #s(literal 1/3 binary64))) (.f64 z z)) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/3 binary64))) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 z z)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/3 binary64))) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 z z)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))) z))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) (sqrt.f64 #s(literal 1/3 binary64))) (.f64 z z)) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/3 binary64))) z))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 y y) (sqrt.f64 #s(literal 1/3 binary64))) (.f64 z z)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/3 binary64))) z))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 (.f64 y y) (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 z z)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))) z))
#s(approx (sqrt (+ (* z z) (* y y))) (.f64 (fma.f64 (/.f64 (.f64 y y) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z))
#s(approx (sqrt (+ (* z z) (* y y))) (.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 z z))) #s(literal 1 binary64)) z))
#s(approx (sqrt (+ (* z z) (* y y))) (.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 z z)))) #s(literal 1 binary64)) z))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 z z) #s(literal 1/3 binary64)))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) (.f64 z z)))
#s(approx (* (+ (* z z) (* y y)) 1/3) (.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 z z)) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) (.f64 z z)))
#s(approx (+ (* z z) (* y y)) (.f64 (+.f64 (/.f64 (.f64 y y) (.f64 z z)) #s(literal 1 binary64)) (.f64 z z)))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1 binary64)) (.f64 z z)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (neg.f64 z) (fma.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (sqrt.f64 #s(literal 1/3 binary64))) (.f64 z z)) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (neg.f64 z) (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 z z)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 (neg.f64 z) (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 z z)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (*.f64 (neg.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (.f64 (neg.f64 z) (fma.f64 (/.f64 (.f64 (.f64 y y) (sqrt.f64 #s(literal 1/3 binary64))) (.f64 z z)) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (.f64 (neg.f64 z) (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 y y) (sqrt.f64 #s(literal 1/3 binary64))) (.f64 z z)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (* (sqrt (+ (* z z) (* y y))) (sqrt 1/3)) (.f64 (neg.f64 z) (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 (.f64 y y) (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 z z)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (+ (* z z) (* y y))) (neg.f64 z))
#s(approx (sqrt (+ (* z z) (* y y))) (.f64 (neg.f64 z) (fma.f64 (/.f64 (.f64 y y) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* z z) (* y y))) (.f64 (neg.f64 z) (+.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 z z))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* z z) (* y y))) (.f64 (neg.f64 z) (+.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 z z)))) #s(literal 1 binary64))))

eval56.0ms (1.9%)

Memory: -17.7MiB live, 89.5MiB allocated; 23ms collecting garbage
Compiler: Compiled 11 033 to 1 404 computations (87.3% saved)

prune10.0ms (0.3%)

Memory

31.1MiB live, 31.1MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	374	3	377
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	375	8	383

Accuracy

99.7%

Counts

383 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.0%	(/.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z))) (sqrt.f64 #s(literal 3 binary64)))
✓	40.0%	(sqrt.f64 (/.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z)) #s(literal 3 binary64)))
✓	40.5%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))))
✓	40.0%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 z z) #s(literal 1/3 binary64))))
▶	40.7%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 z (.f64 z #s(literal 1/3 binary64)))))
▶	90.5%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 (exp.f64 (log.f64 z)) y) (sqrt.f64 #s(literal 1/3 binary64))))
✓	99.5%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 1/3 binary64))))
✓	97.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))

Compiler

Compiled 163 to 122 computations (25.2% saved)

series75.0ms (2.5%)

Memory

-16.1MiB live, 124.8MiB allocated; 17ms collecting garbage

Counts

19 → 183

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	z	@	0	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt (+ (* (exp (log z)) (exp (log z))) (* y y))) (sqrt 1/3)) (sqrt (+ (* (exp (log z)) (exp (log z))) (* y y))) (exp (log z)) (log z) z y (sqrt 1/3) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* z (* z 1/3)) (* z 1/3) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (* z z) (sqrt 3) 3)
18.0ms	z	@	-inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt (+ (* (exp (log z)) (exp (log z))) (* y y))) (sqrt 1/3)) (sqrt (+ (* (exp (log z)) (exp (log z))) (* y y))) (exp (log z)) (log z) z y (sqrt 1/3) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* z (* z 1/3)) (* z 1/3) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (* z z) (sqrt 3) 3)
8.0ms	z	@	inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt (+ (* (exp (log z)) (exp (log z))) (* y y))) (sqrt 1/3)) (sqrt (+ (* (exp (log z)) (exp (log z))) (* y y))) (exp (log z)) (log z) z y (sqrt 1/3) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* z (* z 1/3)) (* z 1/3) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (* z z) (sqrt 3) 3)
3.0ms	y	@	-inf	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt (+ (* (exp (log z)) (exp (log z))) (* y y))) (sqrt 1/3)) (sqrt (+ (* (exp (log z)) (exp (log z))) (* y y))) (exp (log z)) (log z) z y (sqrt 1/3) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* z (* z 1/3)) (* z 1/3) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (* z z) (sqrt 3) 3)
3.0ms	x	@	0	((sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (* (sqrt (+ (* (exp (log z)) (exp (log z))) (* y y))) (sqrt 1/3)) (sqrt (+ (* (exp (log z)) (exp (log z))) (* y y))) (exp (log z)) (log z) z y (sqrt 1/3) 1/3 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (* z (* z 1/3)) (* z 1/3) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (* z z) (sqrt 3) 3)

rewrite183.0ms (6%)

Memory

-3.7MiB live, 228.2MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	837	7321
0	857	6912
1	4699	6425
0	8596	5352

Stop Event

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

Counts

202 → 293

Calls

Call 1

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

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

eval33.0ms (1.1%)

Memory: 21.8MiB live, 67.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 9 841 to 1 156 computations (88.3% saved)

prune9.0ms (0.3%)

Memory

-24.3MiB live, 22.6MiB allocated; 2ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	282	2	284
Fresh	0	0	0
Picked	2	1	3
Done	1	4	5
Total	285	7	292

Accuracy

100.0%

Counts

292 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64)))
▶	97.7%	(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) z) (sqrt.f64 #s(literal 3 binary64)))
✓	40.5%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))))
✓	40.0%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 z z) #s(literal 1/3 binary64))))
✓	40.7%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 z (.f64 z #s(literal 1/3 binary64)))))
✓	99.5%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 1/3 binary64))))
✓	97.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))

Compiler

Compiled 139 to 104 computations (25.2% saved)

series7.0ms (0.2%)

Memory

19.4MiB live, 19.4MiB allocated; 0ms collecting garbage

Counts

9 → 96

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	((/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) z (sqrt 3) 3 (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (* z z) (* y y))) y)
1.0ms	z	@	0	((/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) z (sqrt 3) 3 (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (* z z) (* y y))) y)
1.0ms	y	@	-inf	((/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) z (sqrt 3) 3 (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (* z z) (* y y))) y)
1.0ms	z	@	-inf	((/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) z (sqrt 3) 3 (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (* z z) (* y y))) y)
1.0ms	y	@	inf	((/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) z (sqrt 3) 3 (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (* z z) (* y y))) y)

rewrite224.0ms (7.4%)

Memory

-15.5MiB live, 239.3MiB allocated; 119ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	480	4034
0	487	3848
1	2685	3528
0	8380	2812

Stop Event

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

Counts

105 → 218

Calls

Call 1

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

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

eval25.0ms (0.8%)

Memory: 11.5MiB live, 57.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 6 679 to 871 computations (87% saved)

prune9.0ms (0.3%)

Memory

-23.0MiB live, 24.3MiB allocated; 1ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	223	1	224
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	223	8	231

Accuracy

100.0%

Counts

231 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64)))
	96.6%	(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) z) (/.f64 (sqrt.f64 #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	97.7%	(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) z) (sqrt.f64 #s(literal 3 binary64)))
✓	40.5%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))))
✓	40.0%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 z z) #s(literal 1/3 binary64))))
✓	40.7%	(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 z (.f64 z #s(literal 1/3 binary64)))))
✓	99.5%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 1/3 binary64))))
✓	97.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))

Compiler

Compiled 405 to 183 computations (54.8% saved)

regimes36.0ms (1.2%)

Memory

36.9MiB live, 84.0MiB allocated; 2ms collecting garbage

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 z (.f64 z #s(literal 1/3 binary64)))))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 z z) #s(literal 1/3 binary64))))
(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) z) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))))
(sqrt.f64 (/.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z))) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) z) (/.f64 (sqrt.f64 #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 1/3 binary64))))
(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (hypot.f64 (exp.f64 (log.f64 z)) y) (sqrt.f64 #s(literal 1/3 binary64))))

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

Calls

10 calls:

4.0ms	(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
4.0ms	z
4.0ms	x
4.0ms	y
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
99.5%	1	`(*.f64 z z)`
99.5%	1	`(*.f64 y y)`
99.5%	1	`(*.f64 x x)`
99.5%	1	`(+.f64 (.f64 x x) (.f64 y y))`
99.5%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
99.5%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
99.5%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`z`

Compiler

Compiled 57 to 56 computations (1.8% saved)

regimes32.0ms (1%)

Memory

-32.8MiB live, 65.8MiB allocated; 5ms collecting garbage

Accuracy

Total -37.3b remaining (-2680.8%)

Threshold costs -37.3b (-2680.8%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 z (.f64 z #s(literal 1/3 binary64)))))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (.f64 z z) #s(literal 1/3 binary64))))
(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) z) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (fma.f64 z z (.f64 y y)) #s(literal 1/3 binary64))))
(sqrt.f64 (/.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 #s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 z z))) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 #s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) z) (/.f64 (sqrt.f64 #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))

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

Calls

10 calls:

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

simplify20.0ms (0.6%)

Memory

-14.4MiB live, 32.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	40
1	41	40
2	135	40
3	371	40
4	635	40
5	756	40
6	799	40

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

Outputs

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

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

derivations56.0ms (1.9%)

Memory

-0.0MiB live, 47.0MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 40 to 18 computations (55% saved)

preprocess57.0ms (1.9%)

Memory: 33.3MiB live, 81.2MiB allocated; 6ms collecting garbage
Compiler: Compiled 340 to 232 computations (31.8% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	43	143
1	113	143
2	289	143
3	509	143
4	801	143
5	928	143
6	928	143
0	11	14
0	18	14
1	41	14
2	135	14
3	372	14
4	641	14
5	756	14
6	775	14
0	775	12

Iter	Nodes	Cost
0	43	143
1	113	143
2	289	143
3	509	143
4	801	143
5	928	143
6	928	143
0	11	14
0	18	14
1	41	14
2	135	14
3	372	14
4	641	14
5	756	14
6	775	14
0	775	12

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.5s (49.2%)

explain206.0ms (6.8%)

preprocess41.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series22.0ms (0.7%)

rewrite171.0ms (5.6%)

eval26.0ms (0.8%)

prune30.0ms (1%)

series19.0ms (0.6%)

rewrite192.0ms (6.3%)

eval56.0ms (1.9%)

prune10.0ms (0.3%)

series75.0ms (2.5%)

rewrite183.0ms (6%)

eval33.0ms (1.1%)

prune9.0ms (0.3%)

series7.0ms (0.2%)

rewrite224.0ms (7.4%)

eval25.0ms (0.8%)

prune9.0ms (0.3%)

regimes36.0ms (1.2%)

regimes32.0ms (1%)

simplify20.0ms (0.6%)

derivations56.0ms (1.9%)

preprocess57.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	43	143
1	113	143
2	289	143
3	509	143
4	801	143
5	928	143
6	928	143
0	11	14
0	18	14
1	41	14
2	135	14
3	372	14
4	641	14
5	756	14
6	775	14
0	775	12