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

start0.0ms (0.0%)

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

analyze1.0ms (0.0%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	0
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	1
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	2
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	3
100.0%	99.9%	0.0%	0.1%	0.0%	0.0%	0.0%	4

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample10.3s (82.0%)

Memory

-734.1MiB live, 2 468.1MiB allocated; 12.4s collecting garbage

Samples

10.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 433.0ms

ival-mult!: 219.0ms (50.5% of total)

ival-sqrt: 90.0ms (20.8% of total)

ival-add!: 84.0ms (19.4% of total)

ival-div!: 39.0ms (9.0% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess62.0ms (0.5%)

Memory

-43.1MiB live, 59.3MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	143
1	175	143
2	568	143
3	1536	143

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.7%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))

Symmetry

(abs x)

(abs y)

(abs z)

(sort x y)

(sort x z)

(sort y z)

Compiler

Compiled 28 to 22 computations (21.4% saved)

sample0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
3

Outputs
#s(literal 3 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series37.0ms (0.3%)

Memory

35.2MiB live, 81.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	2369

Stop Event

1×	iter-limit

Counts

11 → 63

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* x x) (* y y)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))
#s(approx y y)
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))
#s(approx z z)
#s(approx (* z z) (pow.f64 z #s(literal 2 binary64)))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (+.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))))
#s(approx (+ (+ (* x x) (* y y)) (* z z)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ (+ (+ (* x x) (* y y)) (* z z)) 3) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))

Calls

9 calls:

Time	Variable	Point
2.0ms	x	inf
2.0ms	y	0
2.0ms	y	inf
2.0ms	x	0
1.0ms	z	inf

rewrite193.0ms (1.5%)

Memory

-3.4MiB live, 335.2MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	58
0	18	58
1	95	58
2	426	58
3	1760	58
0	4392	58

Stop Event

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

Counts

11 → 499

Calls

Call 1

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

Outputs
x
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (*.f64 x (fabs.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
y
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 y)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 y)))))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 y)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 y))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 y))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (pow.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (fabs.f64 y))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) y)
(*.f64 (pow.f64 y (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 y (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 y) (neg.f64 (neg.f64 (fabs.f64 y))))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 (.f64 y y) (pow.f64 (*.f64 y y) #s(literal 0 binary64)))
(*.f64 y y)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(/.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y y) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (.f64 (.f64 y y) (*.f64 y y)))
(fabs.f64 (*.f64 (neg.f64 y) (neg.f64 (fabs.f64 y))))
(fabs.f64 (*.f64 y (neg.f64 (fabs.f64 y))))
(fabs.f64 (*.f64 (neg.f64 y) (fabs.f64 y)))
(fabs.f64 (*.f64 y (fabs.f64 y)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y)))
(fabs.f64 (*.f64 (fabs.f64 y) (neg.f64 y)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 y)) y))
(fabs.f64 (*.f64 (fabs.f64 y) y))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) (.f64 y y))) (.f64 y y))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))) (.f64 y y))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 y) y) (.f64 x x))) (.f64 x x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 x x))) (.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (.f64 y y) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 y y) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (*.f64 (neg.f64 x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) y) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 x x) (*.f64 (neg.f64 y) y)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (.f64 y y))) (+.f64 (.f64 x x) (.f64 (neg.f64 y) y)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (.f64 y y))) (-.f64 (.f64 x x) (.f64 y y)))
(/.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 (.f64 y y) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 x x) (*.f64 y y)))))
(neg.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 y y)))
(-.f64 (.f64 y y) (.f64 (neg.f64 x) x))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) y))
(+.f64 (.f64 y y) (.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)))
(+.f64 (.f64 y y) (.f64 x x))
(+.f64 (.f64 x x) (.f64 y y))
z
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 z)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 z)))))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 z)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 z))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 z))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 z))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
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(pow.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x)))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x))) #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x))))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (sqrt.f64 (/.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x)))) #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (.f64 (-.f64 (.f64 (neg.f64 z) z) (+.f64 (.f64 y y) (.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (+.f64 (.f64 z z) (*.f64 y y)))) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 z z)) #s(literal -3 binary64)) (-.f64 (.f64 (neg.f64 x) x) (*.f64 y y)))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 z z)) #s(literal 3 binary64)) (+.f64 (.f64 y y) (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 y y) (.f64 x x))) #s(literal -3 binary64)) (*.f64 (neg.f64 z) z))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 (+.f64 (.f64 z z) (*.f64 y y)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (neg.f64 z) z) #s(literal -3 binary64)) (.f64 (-.f64 (.f64 (neg.f64 x) x) (*.f64 y y)) #s(literal -3 binary64)))) (sqrt.f64 #s(literal 9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (neg.f64 z) z) #s(literal 3 binary64)) (.f64 (+.f64 (.f64 y y) (*.f64 x x)) #s(literal -3 binary64)))) (sqrt.f64 #s(literal -9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) (.f64 (-.f64 (.f64 (neg.f64 x) x) (*.f64 y y)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 y y)) #s(literal -3 binary64)) (.f64 (*.f64 (neg.f64 z) z) #s(literal -3 binary64)))) (sqrt.f64 #s(literal 9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 y y)) #s(literal 3 binary64)) (.f64 (*.f64 z z) #s(literal -3 binary64)))) (sqrt.f64 #s(literal -9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (+.f64 (.f64 y y) (.f64 x x)) #s(literal -3 binary64)) (.f64 (*.f64 (neg.f64 z) z) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (+.f64 (.f64 z z) (*.f64 y y))))) (sqrt.f64 #s(literal 9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (neg.f64 z) z) #s(literal -3 binary64)) (.f64 #s(literal -3 binary64) (-.f64 (.f64 (neg.f64 x) x) (*.f64 y y))))) (sqrt.f64 #s(literal 9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (neg.f64 z) z) #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (+.f64 (.f64 y y) (*.f64 x x))))) (sqrt.f64 #s(literal -9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) (.f64 #s(literal 3 binary64) (-.f64 (.f64 (neg.f64 x) x) (*.f64 y y))))) (sqrt.f64 #s(literal -9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 y y)) #s(literal -3 binary64)) (.f64 #s(literal -3 binary64) (*.f64 (neg.f64 z) z)))) (sqrt.f64 #s(literal 9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 y y)) #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (*.f64 z z)))) (sqrt.f64 #s(literal -9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (+.f64 (.f64 y y) (.f64 x x)) #s(literal -3 binary64)) (.f64 #s(literal 3 binary64) (*.f64 (neg.f64 z) z)))) (sqrt.f64 #s(literal -9 binary64)))
(/.f64 (sqrt.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 y y)) #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (*.f64 (neg.f64 z) z)))) (sqrt.f64 #s(literal -9 binary64)))
(/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 y y) (.f64 x x))) (.f64 #s(literal 3 binary64) (*.f64 (neg.f64 z) z)))) (sqrt.f64 #s(literal 9 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (.f64 (+.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)) (.f64 z z)))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x)))))) (sqrt.f64 #s(literal -9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (+.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)) (.f64 z z))) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x))))) (sqrt.f64 #s(literal 9 binary64)))
(/.f64 (sqrt.f64 (-.f64 (.f64 (neg.f64 z) z) (+.f64 (.f64 y y) (*.f64 x x)))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x)))))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x)))))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x))))))))
(fabs.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x)))))))
(fabs.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x))))) #s(literal 1/2 binary64)))

eval65.0ms (0.5%)

Memory: -30.3MiB live, 156.1MiB allocated; 28ms collecting garbage
Compiler: Compiled 12 891 to 2 306 computations (82.1% saved)

prune13.0ms (0.1%)

Memory

34.9MiB live, 34.9MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	541	11	552
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	541	12	553

Accuracy

98.8%

Counts

553 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.5%	(/.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
	45.6%	(.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x)))) (sqrt.f64 #s(literal 1/3 binary64)))
✓	45.7%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
	45.7%	(sqrt.f64 (/.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x)))) #s(literal 9 binary64)))
	45.6%	(sqrt.f64 (.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x))) #s(literal 1/3 binary64)))
▶	45.6%	(sqrt.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x)))) #s(literal 1/9 binary64)))
▶	97.6%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
	5.6%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
▶	3.4%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
▶	0.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
	1.2%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
▶	1.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 1/3 binary64)))))

Compiler

Compiled 406 to 325 computations (20.0% saved)

sample0.0ms (0.0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/3
(sqrt 1/3)
-1
3
1/9

Outputs
#s(literal 6004799503160661/18014398509481984 binary64)
#s(literal 1300077228592327/2251799813685248 binary64)
#s(literal -1 binary64)
#s(literal 3 binary64)
#s(literal 2001599834386887/18014398509481984 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 8 to 7 computations (12.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series59.0ms (0.5%)

Memory

-19.1MiB live, 73.0MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	317	2669

Stop Event

1×	iter-limit

Counts

24 → 75

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (* x (sqrt 1/3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (* -1 (* x (sqrt 1/3))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* y y) (* x x)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* y y) (* x x)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* 3 (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal 3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* 3 (+ (* z z) (+ (* y y) (* x x)))) (+.f64 (.f64 #s(literal 3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (* 3 (+ (* z z) (+ (* y y) (* x x)))) 1/9) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* (* 3 (+ (* z z) (+ (* y y) (* x x)))) 1/9) (+.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (+ (* y y) (* x x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* 3 (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* 3 (+ (* z z) (+ (* y y) (* x x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (* 3 (+ (* z z) (+ (* y y) (* x x)))) 1/9) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (* 3 (+ (* z z) (+ (* y y) (* x x)))) 1/9) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))
#s(approx y y)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* 3 (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal 3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* 3 (+ (* z z) (+ (* y y) (* x x)))) (+.f64 (.f64 #s(literal 3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* (* 3 (+ (* z z) (+ (* y y) (* x x)))) 1/9) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* (* 3 (+ (* z z) (+ (* y y) (* x x)))) 1/9) (+.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (+ (* y y) (* x x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* 3 (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* 3 (+ (* z z) (+ (* y y) (* x x)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* (* 3 (+ (* z z) (+ (* y y) (* x x)))) 1/9) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* (* 3 (+ (* z z) (+ (* y y) (* x x)))) 1/9) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))
#s(approx z z)
#s(approx (* z (sqrt 1/3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))))
#s(approx (* -1 (* z (sqrt 1/3))) (.f64 #s(literal -1 binary64) (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (* z z) (pow.f64 z #s(literal 2 binary64)))
#s(approx (* 3 (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal 3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* 3 (+ (* z z) (+ (* y y) (* x x)))) (+.f64 (.f64 #s(literal 3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* (* 3 (+ (* z z) (+ (* y y) (* x x)))) 1/9) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* (* 3 (+ (* z z) (+ (* y y) (* x x)))) 1/9) (+.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* 3 (+ (* z z) (+ (* y y) (* x x)))) (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* 3 (+ (* z z) (+ (* y y) (* x x)))) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* (* 3 (+ (* z z) (+ (* y y) (* x x)))) 1/9) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (* 3 (+ (* z z) (+ (* y y) (* x x)))) 1/9) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))

Calls

9 calls:

Time	Variable	Point
6.0ms	x	inf
3.0ms	x	0
1.0ms	z	inf
1.0ms	x	-inf
1.0ms	z	-inf

rewrite309.0ms (2.5%)

Memory

28.3MiB live, 513.0MiB allocated; 167ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	180
0	43	176
1	192	172
2	754	172
3	2720	172
0	5813	172

Stop Event

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

Counts

24 → 785

Calls

Call 1

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

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

eval209.0ms (1.7%)

Memory: 11.3MiB live, 330.2MiB allocated; 94ms collecting garbage
Compiler: Compiled 23 003 to 3 847 computations (83.3% saved)

prune44.0ms (0.4%)

Memory

10.5MiB live, 103.5MiB allocated; 6ms collecting garbage

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	951	12	963
Fresh	2	4	6
Picked	5	0	5
Done	-1	2	1
Total	957	18	975

Accuracy

98.8%

Counts

975 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.5%	(/.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
	45.6%	(.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x)))) (sqrt.f64 #s(literal 1/3 binary64)))
✓	45.7%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
	45.7%	(sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -3 binary64)) #s(literal -9 binary64)))
	45.6%	(sqrt.f64 (.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x))) #s(literal 1/3 binary64)))
✓	45.6%	(sqrt.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x)))) #s(literal 1/9 binary64)))
	45.6%	(sqrt.f64 (.f64 (.f64 #s(literal 1/9 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y)))) #s(literal 3 binary64)))
▶	45.6%	(sqrt.f64 (.f64 #s(literal 3 binary64) (/.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 9 binary64))))
	96.9%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
▶	97.6%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(literal 1300077228592327/2251799813685248 binary64)))
	5.6%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
	3.4%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
▶	3.4%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal 1300077228592327/2251799813685248 binary64)))
	0.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
	0.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z #s(literal 1300077228592327/2251799813685248 binary64))))
▶	1.2%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
▶	1.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
	1.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x #s(literal 1300077228592327/2251799813685248 binary64))))

Compiler

Compiled 630 to 508 computations (19.4% saved)

sample2.0ms (0.0%)

Memory

-43.8MiB live, 2.1MiB allocated; 3ms collecting garbage

Calls

Call 1

Inputs
1300077228592327/2251799813685248
-1
1/3
(sqrt 1/3)
1
(sqrt 1)
3
(sqrt 3)
(/ (sqrt 1) (sqrt 3))
9

Outputs
#s(literal 1300077228592327/2251799813685248 binary64)
#s(literal -1 binary64)
#s(literal 6004799503160661/18014398509481984 binary64)
#s(literal 1300077228592327/2251799813685248 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 3900231685776981/2251799813685248 binary64)
#s(literal 1300077228592327/2251799813685248 binary64)
#s(literal 9 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 19 to 12 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series81.0ms (0.6%)

Memory

4.5MiB live, 168.0MiB allocated; 60ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	333	2727

Stop Event

1×	iter-limit

Counts

31 → 79

Calls

Call 1

Inputs
x
y
z
#s(literal 1300077228592327/2251799813685248 binary64)
(*.f64 z #s(literal 1300077228592327/2251799813685248 binary64))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(literal 1300077228592327/2251799813685248 binary64)))
(*.f64 x #s(literal 1300077228592327/2251799813685248 binary64))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal 1300077228592327/2251799813685248 binary64)))
#s(literal -1 binary64)
#s(literal 1/3 binary64)
(sqrt.f64 #s(literal 1/3 binary64))
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1 binary64))
#s(literal 3 binary64)
(sqrt.f64 #s(literal 3 binary64))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 z z)
(*.f64 x x)
(*.f64 y y)
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y)))
#s(literal 9 binary64)
(/.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y))) #s(literal 9 binary64))
(.f64 #s(literal 3 binary64) (/.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 9 binary64)))
(sqrt.f64 (.f64 #s(literal 3 binary64) (/.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 9 binary64))))

Outputs
#s(approx x x)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (* x 1300077228592327/2251799813685248) (*.f64 #s(literal 1300077228592327/2251799813685248 binary64) x))
#s(approx (* x (/ (sqrt 1) (sqrt 3))) (/.f64 x (sqrt.f64 #s(literal 3 binary64))))
#s(approx (* -1 (* x (/ (sqrt 1) (sqrt 3)))) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 #s(literal 3 binary64)))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* x x) (* y y)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ (* z z) (+ (* x x) (* y y))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (* z z) (+ (* x x) (* y y))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 9) (*.f64 #s(literal 1/9 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 9) (+.f64 (.f64 #s(literal 1/9 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9)) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9)) (+.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* z z) (+ (* x x) (* y y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 9) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 9) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))
#s(approx y y)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (* y (sqrt 1/3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (* -1 (* y (sqrt 1/3))) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (+ (* z z) (+ (* x x) (* y y))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 9) (*.f64 #s(literal 1/9 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 9) (+.f64 (.f64 #s(literal 1/9 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/9 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9)) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9)) (+.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (+ (* z z) (+ (* x x) (* y y))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 9) (*.f64 #s(literal 1/9 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 9) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9)) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9)) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))
#s(approx z z)
#s(approx (* z 1300077228592327/2251799813685248) (*.f64 #s(literal 1300077228592327/2251799813685248 binary64) z))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))))
#s(approx (* z z) (pow.f64 z #s(literal 2 binary64)))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 9) (*.f64 #s(literal 1/9 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 9) (+.f64 (.f64 #s(literal 1/9 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/9 binary64) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9)) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9)) (+.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (+ (* z z) (+ (* x x) (* y y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 9) (*.f64 #s(literal 1/9 binary64) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ (+ (* z z) (+ (* x x) (* y y))) 9) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9)) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* 3 (/ (+ (* z z) (+ (* x x) (* y y))) 9)) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))

Calls

9 calls:

Time	Variable	Point
37.0ms	y	inf
3.0ms	x	inf
2.0ms	x	-inf
2.0ms	x	0
2.0ms	y	-inf

rewrite202.0ms (1.6%)

Memory

-10.1MiB live, 276.2MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	199
0	55	189
1	197	184
2	800	184
3	3641	184
0	4057	183

Stop Event

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

Counts

31 → 660

Calls

Call 1

Inputs
x
y
z
#s(literal 1300077228592327/2251799813685248 binary64)
(*.f64 z #s(literal 1300077228592327/2251799813685248 binary64))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(literal 1300077228592327/2251799813685248 binary64)))
(*.f64 x #s(literal 1300077228592327/2251799813685248 binary64))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal 1300077228592327/2251799813685248 binary64)))
#s(literal -1 binary64)
#s(literal 1/3 binary64)
(sqrt.f64 #s(literal 1/3 binary64))
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1 binary64))
#s(literal 3 binary64)
(sqrt.f64 #s(literal 3 binary64))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 z z)
(*.f64 x x)
(*.f64 y y)
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y)))
#s(literal 9 binary64)
(/.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y))) #s(literal 9 binary64))
(.f64 #s(literal 3 binary64) (/.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 9 binary64)))
(sqrt.f64 (.f64 #s(literal 3 binary64) (/.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 9 binary64))))

Outputs
x
y
z
#s(literal 1300077228592327/2251799813685248 binary64)
(*.f64 #s(literal 1300077228592327/2251799813685248 binary64) z)
(*.f64 z #s(literal 1300077228592327/2251799813685248 binary64))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal 1300077228592327/2251799813685248 binary64) z))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1300077228592327/2251799813685248 binary64) x))
(.f64 (.f64 #s(literal 1300077228592327/2251799813685248 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1300077228592327/2251799813685248 binary64) x)
(*.f64 x #s(literal 1300077228592327/2251799813685248 binary64))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal 1300077228592327/2251799813685248 binary64) x))
#s(literal -1 binary64)
#s(literal 1/3 binary64)
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/3 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/9 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(pow.f64 (sqrt.f64 #s(literal 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 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(sqrt.f64 #s(literal 1/3 binary64))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) (.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) #s(literal 0 binary64)))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) y)
(*.f64 (neg.f64 y) (sqrt.f64 #s(literal 1/3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (sqrt.f64 #s(literal 1/3 binary64))))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(*.f64 y (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 1/3 binary64))))
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 #s(literal 3 binary64))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/3 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/9 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(pow.f64 (sqrt.f64 #s(literal 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 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(sqrt.f64 #s(literal 1/3 binary64))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 x (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) x)) #s(literal 2 binary64))
(/.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) x))
(/.f64 x (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) x) (.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x) #s(literal 0 binary64)))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) x) (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) x)
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))
(.f64 (.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(/.f64 (neg.f64 x) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) x))
(/.f64 x (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 x)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/3 binary64))))
(.f64 (pow.f64 (.f64 z z) #s(literal 0 binary64)) (*.f64 z z))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 z))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 z))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 z))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 (fabs.f64 z))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (fabs.f64 z))
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 z))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (pow.f64 (fabs.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (fabs.f64 z))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 z))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) z)
(*.f64 (pow.f64 z (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)))
(*.f64 (fabs.f64 z) (neg.f64 (neg.f64 (fabs.f64 z))))
(*.f64 (fabs.f64 z) (fabs.f64 z))
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(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 (.f64 y y) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (+.f64 (.f64 y y) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 (+.f64 (.f64 y y) (.f64 x x)) #s(literal 1/3 binary64))) (-.f64 (.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)) (.f64 (.f64 z z) #s(literal 1/3 binary64))) (.f64 (.f64 (+.f64 (.f64 y y) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 (*.f64 z z) #s(literal 1/3 binary64))))))
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(/.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)) #s(literal 3 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z))))
(neg.f64 (.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)) #s(literal -1/9 binary64)) #s(literal 3 binary64)))
(neg.f64 (.f64 #s(literal -3 binary64) (.f64 #s(literal 1/9 binary64) (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)))))
(neg.f64 (.f64 (.f64 #s(literal 1/9 binary64) (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z))) #s(literal -3 binary64)))
(neg.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 (neg.f64 z) z) (+.f64 (.f64 y y) (.f64 x x)))))
(neg.f64 (.f64 #s(literal 3 binary64) (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)) #s(literal -1/9 binary64))))
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(-.f64 (.f64 (+.f64 (.f64 x x) (.f64 z z)) #s(literal 1/3 binary64)) (.f64 (*.f64 (neg.f64 y) y) #s(literal 1/3 binary64)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (-.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal 1/3 binary64)) (.f64 (.f64 z z) #s(literal 1/3 binary64))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (+.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal 1/3 binary64)) (.f64 (.f64 z z) #s(literal -1/3 binary64))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (neg.f64 (.f64 (+.f64 (.f64 y y) (*.f64 z z)) #s(literal 1/3 binary64))))
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(-.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)) (.f64 (.f64 (+.f64 (.f64 y y) (.f64 x x)) #s(literal -1/9 binary64)) #s(literal 3 binary64)))
(-.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)) (.f64 (-.f64 (.f64 (neg.f64 x) x) (*.f64 y y)) #s(literal 1/3 binary64)))
(-.f64 (.f64 (+.f64 (.f64 y y) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 (*.f64 z z) #s(literal -1/3 binary64)))
(sqrt.f64 (.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64)) (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)) #s(literal 1/3 binary64))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64)))) (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)) #s(literal 1/3 binary64)))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)) #s(literal 1/3 binary64))))))
(fabs.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64)) (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x x) (.f64 z z))) (.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 y y)) (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x x) (*.f64 z z))))
(+.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 y y) (.f64 z z))) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 y y) (*.f64 z z))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 (+.f64 (.f64 x x) (.f64 z z)) #s(literal 1/9 binary64))) (.f64 #s(literal 3 binary64) (.f64 (*.f64 y y) #s(literal 1/9 binary64))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 #s(literal 3 binary64) (.f64 (+.f64 (.f64 y y) (*.f64 z z)) #s(literal 1/9 binary64))))
(+.f64 (.f64 (.f64 (+.f64 (.f64 x x) (.f64 z z)) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (*.f64 y y) #s(literal 1/9 binary64)) #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (+.f64 (.f64 y y) (*.f64 z z)) #s(literal 1/9 binary64)) #s(literal 3 binary64)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 x x) (.f64 z z)) #s(literal 3 binary64)) #s(literal 9 binary64)) (/.f64 (.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 9 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 9 binary64)) (/.f64 (.f64 (+.f64 (.f64 y y) (*.f64 z z)) #s(literal 3 binary64)) #s(literal 9 binary64)))
(+.f64 (.f64 (+.f64 (.f64 x x) (.f64 z z)) #s(literal 1/3 binary64)) (.f64 (*.f64 y y) #s(literal 1/3 binary64)))
(+.f64 (.f64 (+.f64 (.f64 y y) (.f64 z z)) #s(literal 1/3 binary64)) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(+.f64 (.f64 (.f64 y y) #s(literal 1/3 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (.f64 (.f64 z z) #s(literal -1/3 binary64))))
(+.f64 (.f64 (.f64 y y) #s(literal 1/3 binary64)) (.f64 (+.f64 (.f64 x x) (*.f64 z z)) #s(literal 1/3 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) (.f64 (+.f64 (.f64 y y) (*.f64 z z)) #s(literal 1/3 binary64)))
(+.f64 (.f64 (.f64 z z) #s(literal 1/3 binary64)) (.f64 (+.f64 (.f64 y y) (*.f64 x x)) #s(literal 1/3 binary64)))
(+.f64 (.f64 (+.f64 (.f64 y y) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 (*.f64 z z) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -3 binary64) (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z))) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/9 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 (+.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)) (*.f64 z z)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)) #s(literal 1/3 binary64)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64)))) (sqrt.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)) #s(literal 1/3 binary64)))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)) #s(literal 1/3 binary64))))
(.f64 (pow.f64 #s(literal 1/9 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (.f64 (neg.f64 z) z) (+.f64 (.f64 y y) (.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 (neg.f64 z) z) (+.f64 (.f64 y y) (.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/3 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (-.f64 (.f64 (neg.f64 z) z) (+.f64 (.f64 y y) (.f64 x x)))) (sqrt.f64 #s(literal -1/3 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 1/9 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/9 binary64) (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(.f64 (pow.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/9 binary64) (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)))) (sqrt.f64 #s(literal 3 binary64)))
(.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z))) (sqrt.f64 #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/9 binary64) (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (.f64 #s(literal 1/9 binary64) (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)))))
(.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z))))
(.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)) #s(literal 1/3 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(pow.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (.f64 #s(literal -3 binary64) (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)))) (sqrt.f64 #s(literal -9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (+.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64)) (.f64 z z))) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (-.f64 (.f64 (neg.f64 z) z) (+.f64 (.f64 y y) (*.f64 x x)))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z))) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64))))))
(fabs.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64)))))
(fabs.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))

eval80.0ms (0.6%)

Memory: 38.3MiB live, 223.8MiB allocated; 22ms collecting garbage
Compiler: Compiled 17 097 to 3 247 computations (81.0% saved)

prune25.0ms (0.2%)

Memory

-7.2MiB live, 84.4MiB allocated; 10ms collecting garbage

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	665	10	675
Fresh	5	6	11
Picked	5	0	5
Done	-2	4	2
Total	673	20	693

Accuracy

98.9%

Counts

693 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.5%	(/.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z))) (sqrt.f64 #s(literal 3 binary64)))
▶	45.6%	(.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z))) (sqrt.f64 #s(literal 1/3 binary64)))
✓	45.7%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
	45.7%	(sqrt.f64 (/.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 3 binary64)) #s(literal 9 binary64)))
▶	45.6%	(sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64)))
✓	45.6%	(sqrt.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x)))) #s(literal 1/9 binary64)))
	45.6%	(sqrt.f64 (.f64 (.f64 #s(literal 1/9 binary64) (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z))) #s(literal 3 binary64)))
	45.6%	(sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z))) #s(literal 1/81 binary64))))
▶	1.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 3 binary64))))
	1.2%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 y)))
▶	96.9%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
✓	97.6%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(literal 1300077228592327/2251799813685248 binary64)))
	5.6%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
	3.4%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
✓	3.4%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal 1300077228592327/2251799813685248 binary64)))
	0.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
	0.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z #s(literal 1300077228592327/2251799813685248 binary64))))
	1.2%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
	1.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) #s(literal 3900231685776981/2251799813685248 binary64)))))
▶	1.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x #s(literal 1300077228592327/2251799813685248 binary64))))

Compiler

Compiled 680 to 550 computations (19.1% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1
(sqrt 1)
3
(sqrt 3)
(/ (sqrt 1) (sqrt 3))
-1
1300077228592327/2251799813685248
1/3
(sqrt 1/3)

Outputs
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 3900231685776981/2251799813685248 binary64)
#s(literal 1300077228592327/2251799813685248 binary64)
#s(literal -1 binary64)
#s(literal 1300077228592327/2251799813685248 binary64)
#s(literal 6004799503160661/18014398509481984 binary64)
#s(literal 1300077228592327/2251799813685248 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 18 to 11 computations (38.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series71.0ms (0.6%)

Memory

-27.1MiB live, 168.4MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	616	5542

Stop Event

1×	iter-limit

Counts

29 → 130

Calls

Call 1

Inputs
x
y
z
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1 binary64))
#s(literal 3 binary64)
(sqrt.f64 #s(literal 3 binary64))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
#s(literal -1 binary64)
#s(literal 1300077228592327/2251799813685248 binary64)
(*.f64 x #s(literal 1300077228592327/2251799813685248 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal 1300077228592327/2251799813685248 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x #s(literal 1300077228592327/2251799813685248 binary64))))
(neg.f64 x)
(/.f64 (neg.f64 x) (sqrt.f64 #s(literal 3 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 y y)
(*.f64 x x)
(+.f64 (.f64 y y) (.f64 x x))
(*.f64 z z)
(+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z))
#s(literal 1/3 binary64)
(.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64))
(sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64)))
(sqrt.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)))
(sqrt.f64 #s(literal 1/3 binary64))
(.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z))) (sqrt.f64 #s(literal 1/3 binary64)))

Outputs
#s(approx x x)
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 5 binary64)))) (.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))))
#s(approx (* x 1300077228592327/2251799813685248) (*.f64 #s(literal 1300077228592327/2251799813685248 binary64) x))
#s(approx (* -1 (* x 1300077228592327/2251799813685248)) (*.f64 #s(literal -1300077228592327/2251799813685248 binary64) x))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (/ (neg x) (sqrt 3)) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 #s(literal 3 binary64)))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* y y) (* x x)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* y y) (* x x)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ (+ (* y y) (* x x)) (* z z)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (+ (* y y) (* x x)) (* z z)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* (+ (+ (* y y) (* x x)) (* z z)) 1/3) (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* (+ (+ (* y y) (* x x)) (* z z)) 1/3) (+.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* y y) (* x x)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* y y) (* x x)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* y y) (* x x)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (* (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 1/3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (* (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 1/3)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 1/3)) (+.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (* (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 1/3)) (+.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (+ (* y y) (* x x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (+ (* y y) (* x x)) (* z z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (+ (+ (* y y) (* x x)) (* z z)) 1/3) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (+ (+ (* y y) (* x x)) (* z z)) 1/3) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (+ (* y y) (* x x)) (* z z))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (+ (* y y) (* x x)) (* z z))) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* y y) (* x x)) (* z z))) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 1/3)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 1/3)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 1/3)) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/72 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/432 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))))))))))
#s(approx (sqrt (+ (+ (* y y) (* x x)) (* z z))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))
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#s(approx z z)
#s(approx (* z (/ (sqrt 1) (sqrt 3))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
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#s(approx (* z z) (pow.f64 z #s(literal 2 binary64)))
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#s(approx (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
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#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
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#s(approx (* (+ (+ (* y y) (* x x)) (* z z)) 1/3) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))
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#s(approx (sqrt (+ (+ (* y y) (* x x)) (* z z))) (*.f64 #s(literal -1 binary64) z))
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#s(approx (sqrt (+ (+ (* y y) (* x x)) (* z z))) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (* (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 1/3)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (* (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 1/3)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))))))))
#s(approx (* (sqrt (+ (+ (* y y) (* x x)) (* z z))) (sqrt 1/3)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64))))))))))

Calls

9 calls:

Time	Variable	Point
14.0ms	z	-inf
6.0ms	x	inf
4.0ms	y	0
3.0ms	x	0
2.0ms	x	-inf

rewrite223.0ms (1.8%)

Memory

22.1MiB live, 397.2MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	180
0	54	173
1	208	170
2	727	170
3	2635	170
0	4529	169

Stop Event

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

Counts

29 → 869

Calls

Call 1

Inputs
x
y
z
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1 binary64))
#s(literal 3 binary64)
(sqrt.f64 #s(literal 3 binary64))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
#s(literal -1 binary64)
#s(literal 1300077228592327/2251799813685248 binary64)
(*.f64 x #s(literal 1300077228592327/2251799813685248 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal 1300077228592327/2251799813685248 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x #s(literal 1300077228592327/2251799813685248 binary64))))
(neg.f64 x)
(/.f64 (neg.f64 x) (sqrt.f64 #s(literal 3 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 y y)
(*.f64 x x)
(+.f64 (.f64 y y) (.f64 x x))
(*.f64 z z)
(+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z))
#s(literal 1/3 binary64)
(.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64))
(sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64)))
(sqrt.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)))
(sqrt.f64 #s(literal 1/3 binary64))
(.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z))) (sqrt.f64 #s(literal 1/3 binary64)))

Outputs
x
y
z
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 #s(literal 3 binary64))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/3 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (pow.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 #s(literal 1/9 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 9 binary64) #s(literal -1/4 binary64))
(pow.f64 #s(literal 1/3 binary64) #s(literal 1/2 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 2/3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -6 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 6 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(sqrt.f64 #s(literal 1/3 binary64))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 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)))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) z))
(*.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 z)) (.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) z))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(neg.f64 (*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(neg.f64 (/.f64 z (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 z) (sqrt.f64 #s(literal 3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
#s(literal -1 binary64)
#s(literal 1300077228592327/2251799813685248 binary64)
(.f64 (.f64 #s(literal 1300077228592327/2251799813685248 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1300077228592327/2251799813685248 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1300077228592327/2251799813685248 binary64) x))
(*.f64 x #s(literal 1300077228592327/2251799813685248 binary64))
(/.f64 (.f64 (.f64 #s(literal 1300077228592327/2251799813685248 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1300077228592327/2251799813685248 binary64) x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1300077228592327/2251799813685248 binary64) x))
(+.f64 (.f64 #s(literal 1300077228592327/2251799813685248 binary64) x) (.f64 (*.f64 #s(literal 1300077228592327/2251799813685248 binary64) x) #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal 1300077228592327/2251799813685248 binary64) x) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1300077228592327/2251799813685248 binary64) x)))
(*.f64 #s(literal -1300077228592327/2251799813685248 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1300077228592327/2251799813685248 binary64))
(.f64 (.f64 #s(literal -1300077228592327/2251799813685248 binary64) x) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1300077228592327/2251799813685248 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1300077228592327/2251799813685248 binary64) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 1300077228592327/2251799813685248 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1300077228592327/2251799813685248 binary64) x))
(*.f64 x #s(literal -1300077228592327/2251799813685248 binary64))
(neg.f64 (*.f64 (neg.f64 x) #s(literal -1300077228592327/2251799813685248 binary64)))
(neg.f64 (*.f64 #s(literal -1300077228592327/2251799813685248 binary64) (neg.f64 x)))
(neg.f64 (*.f64 #s(literal 1300077228592327/2251799813685248 binary64) x))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 #s(literal -1300077228592327/2251799813685248 binary64) x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 x)
(+.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(+.f64 (neg.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) x)
(.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x))
(.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x)))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(/.f64 (neg.f64 x) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (neg.f64 x)))
(/.f64 x (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 x)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) x))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 x)))
(.f64 (pow.f64 (.f64 y y) #s(literal 0 binary64)) (*.f64 y y))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 y)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 y))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 y))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (pow.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (fabs.f64 y))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) y)
(*.f64 (pow.f64 y (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 y (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 y) (neg.f64 (neg.f64 (fabs.f64 y))))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 (.f64 y y) (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 0 binary64)))
(.f64 (.f64 y y) (pow.f64 (fabs.f64 y) #s(literal 0 binary64)))
(.f64 (.f64 y y) (pow.f64 (neg.f64 y) #s(literal 0 binary64)))
(.f64 (.f64 y y) (pow.f64 y #s(literal 0 binary64)))
(.f64 (.f64 y y) (pow.f64 (*.f64 y y) #s(literal 0 binary64)))
(*.f64 y y)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 y))) #s(literal 2 binary64))
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(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(sqrt.f64 #s(literal 1/3 binary64))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1/2 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)))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 0 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y)))) #s(literal 1/3 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y)))) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y)))))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y))))))) (sqrt.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y))))))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y)))) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y)))) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y))))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y)))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/9 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y)))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y)))))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y)))))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y))))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y))))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y))) (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y)))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y))))) (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y))))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y)))))) (sqrt.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y)))))))
(.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 (-.f64 (.f64 (neg.f64 z) z) (+.f64 (.f64 x x) (.f64 y y)))))
(.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 (.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y))) (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y))))))))
(.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y))))) (sqrt.f64 #s(literal 1/9 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y))))))
(.f64 (pow.f64 #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (.f64 (neg.f64 z) z) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 (neg.f64 z) z) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/3 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y)))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (-.f64 (.f64 (neg.f64 z) z) (+.f64 (.f64 x x) (.f64 y y)))) (sqrt.f64 #s(literal -1/3 binary64)))
(.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y)))))
(.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y)))) (sqrt.f64 #s(literal 1/3 binary64)))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y))))))
(pow.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y)))) (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y))))) #s(literal 1/4 binary64))
(pow.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y)))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (/.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y)))) #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (.f64 #s(literal -1 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y))))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (sqrt.f64 (.f64 (-.f64 (.f64 (neg.f64 z) z) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 1 binary64))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 3 binary64)) (+.f64 (.f64 z z) (*.f64 y y)))) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 y y)) #s(literal 3 binary64)) (+.f64 (.f64 z z) (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 z z)) #s(literal -3 binary64)) (-.f64 (.f64 (neg.f64 x) x) (*.f64 y y)))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 z z)) #s(literal 3 binary64)) (+.f64 (.f64 x x) (*.f64 y y)))) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -3 binary64)) (*.f64 (neg.f64 z) z))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 (+.f64 (.f64 z z) (*.f64 y y)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 y y) #s(literal 3 binary64)) (.f64 (+.f64 (.f64 z z) (*.f64 x x)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (neg.f64 z) z) #s(literal -3 binary64)) (.f64 (-.f64 (.f64 (neg.f64 x) x) (*.f64 y y)) #s(literal -3 binary64)))) (sqrt.f64 #s(literal 9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (neg.f64 z) z) #s(literal 3 binary64)) (.f64 (+.f64 (.f64 x x) (*.f64 y y)) #s(literal -3 binary64)))) (sqrt.f64 #s(literal -9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) (.f64 (-.f64 (.f64 (neg.f64 x) x) (*.f64 y y)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 y y)) #s(literal -3 binary64)) (.f64 (*.f64 (neg.f64 z) z) #s(literal -3 binary64)))) (sqrt.f64 #s(literal 9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 y y)) #s(literal 3 binary64)) (.f64 (*.f64 z z) #s(literal -3 binary64)))) (sqrt.f64 #s(literal -9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (+.f64 (.f64 x x) (.f64 y y)) #s(literal -3 binary64)) (.f64 (*.f64 (neg.f64 z) z) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (+.f64 (.f64 z z) (*.f64 y y))))) (sqrt.f64 #s(literal 9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 y y) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (+.f64 (.f64 z z) (*.f64 x x))))) (sqrt.f64 #s(literal 9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (neg.f64 z) z) #s(literal -3 binary64)) (.f64 #s(literal -3 binary64) (-.f64 (.f64 (neg.f64 x) x) (*.f64 y y))))) (sqrt.f64 #s(literal 9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (neg.f64 z) z) #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (+.f64 (.f64 x x) (*.f64 y y))))) (sqrt.f64 #s(literal -9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) (.f64 #s(literal 3 binary64) (-.f64 (.f64 (neg.f64 x) x) (*.f64 y y))))) (sqrt.f64 #s(literal -9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 y y)) #s(literal -3 binary64)) (.f64 #s(literal -3 binary64) (*.f64 (neg.f64 z) z)))) (sqrt.f64 #s(literal 9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 y y)) #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (*.f64 z z)))) (sqrt.f64 #s(literal -9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (+.f64 (.f64 x x) (.f64 y y)) #s(literal -3 binary64)) (.f64 #s(literal 3 binary64) (*.f64 (neg.f64 z) z)))) (sqrt.f64 #s(literal -9 binary64)))
(/.f64 (sqrt.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 y y)) #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (*.f64 (neg.f64 z) z)))) (sqrt.f64 #s(literal -9 binary64)))
(/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 x x) (.f64 y y))) (.f64 #s(literal 3 binary64) (*.f64 (neg.f64 z) z)))) (sqrt.f64 #s(literal 9 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y)))))) (sqrt.f64 #s(literal -9 binary64)))
(/.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y))))) (sqrt.f64 #s(literal 9 binary64)))
(/.f64 (sqrt.f64 (-.f64 (.f64 (neg.f64 z) z) (+.f64 (.f64 x x) (*.f64 y y)))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y)))) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y)))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y))))))))
(fabs.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y))))))))
(fabs.f64 (.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y)))))) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(fabs.f64 (.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y)))))) (sqrt.f64 #s(literal 1/3 binary64))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y))))))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y)))))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y))))) (neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(fabs.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y)))))))
(fabs.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y))))) #s(literal 1/2 binary64)))

eval141.0ms (1.1%)

Memory: 29.6MiB live, 353.6MiB allocated; 73ms collecting garbage
Compiler: Compiled 31 210 to 4 400 computations (85.9% saved)

prune31.0ms (0.2%)

Memory

-1.9MiB live, 90.1MiB allocated; 8ms collecting garbage

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	1 225	5	1 230
Fresh	3	8	11
Picked	5	0	5
Done	-2	6	4
Total	1 231	19	1 250

Accuracy

98.9%

Counts

1 250 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	45.6%	(.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z))) (sqrt.f64 #s(literal 1/3 binary64)))
✓	45.7%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
	45.7%	(sqrt.f64 (/.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 3 binary64)) #s(literal 9 binary64)))
✓	45.6%	(sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64)))
✓	45.6%	(sqrt.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x)))) #s(literal 1/9 binary64)))
	45.6%	(sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z))) #s(literal 1/81 binary64))))
	1.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/.f64 (neg.f64 x) #s(literal 3900231685776981/2251799813685248 binary64)))
	97.6%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
	1.2%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 y)))
	96.9%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) #s(literal 3900231685776981/2251799813685248 binary64))))
✓	97.6%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(literal 1300077228592327/2251799813685248 binary64)))
	5.6%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
	3.4%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
✓	3.4%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal 1300077228592327/2251799813685248 binary64)))
	1.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal -1300077228592327/2251799813685248 binary64)))
	0.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
	0.8%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z #s(literal 1300077228592327/2251799813685248 binary64))))
	1.2%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
	1.7%	#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) #s(literal 3900231685776981/2251799813685248 binary64)))))

Compiler

Compiled 357 to 287 computations (19.6% saved)

regimes163.0ms (1.3%)

Memory

-5.1MiB live, 422.3MiB allocated; 44ms collecting garbage

Counts

1 → 1

2 → 1

39 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal -1300077228592327/2251799813685248 binary64)))

Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal -1300077228592327/2251799813685248 binary64)))

Call 2

Inputs

#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal -1300077228592327/2251799813685248 binary64)))

#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal 1300077228592327/2251799813685248 binary64)))

Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal 1300077228592327/2251799813685248 binary64)))

Call 3

Inputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal -1300077228592327/2251799813685248 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x #s(literal 1300077228592327/2251799813685248 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(literal 1300077228592327/2251799813685248 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x #s(literal 1300077228592327/2251799813685248 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z #s(literal 1300077228592327/2251799813685248 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/.f64 (neg.f64 x) #s(literal 3900231685776981/2251799813685248 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (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)) (neg.f64 y)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 3 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) #s(literal 3900231685776981/2251799813685248 binary64))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) #s(literal 3900231685776981/2251799813685248 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
(sqrt.f64 (.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x))) #s(literal 1/3 binary64)))
(sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 1/3 binary64)))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (.f64 #s(literal -1 binary64) (.f64 z (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
(sqrt.f64 (.f64 (.f64 #s(literal 1/9 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (*.f64 y y)))) #s(literal 3 binary64)))
(sqrt.f64 (.f64 (.f64 #s(literal 1/9 binary64) (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x)))) #s(literal 1/9 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z))) #s(literal 1/81 binary64))))
(.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x)))) (sqrt.f64 #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z))) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 (.f64 #s(literal 3 binary64) (/.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 9 binary64))))
(sqrt.f64 (/.f64 (.f64 #s(literal 3 binary64) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x)))) #s(literal 9 binary64)))
(sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -3 binary64)) #s(literal -9 binary64)))
(sqrt.f64 (/.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x)))) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z))) (sqrt.f64 #s(literal 3 binary64)))

Outputs
#s(approx (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3)) (*.f64 z #s(literal 1300077228592327/2251799813685248 binary64)))

Calls

30 calls:

14.0ms	y
13.0ms	(+.f64 (.f64 x x) (.f64 y y))
13.0ms	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
13.0ms	(*.f64 y y)
12.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
1.7%	1	`(*.f64 y y)`
1.7%	1	`(+.f64 (.f64 x x) (.f64 y y))`
1.7%	1	`y`
1.7%	1	`x`
1.7%	1	`(*.f64 z z)`
1.7%	1	`(*.f64 x x)`
1.7%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
1.7%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
1.7%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
1.7%	1	`z`
3.4%	1	`(*.f64 z z)`
3.4%	1	`(*.f64 y y)`
3.4%	1	`(+.f64 (.f64 x x) (.f64 y y))`
3.4%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
3.4%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
3.4%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
3.4%	1	`y`
3.4%	1	`z`
3.4%	1	`(*.f64 x x)`
3.4%	1	`x`
97.6%	1	`(*.f64 z z)`
97.6%	1	`(*.f64 y y)`
97.6%	1	`(*.f64 x x)`
97.6%	1	`(+.f64 (.f64 x x) (.f64 y y))`
97.6%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
97.6%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
97.6%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
97.6%	1	`x`
97.6%	1	`y`
97.6%	1	`z`

Compiler

Compiled 892 to 290 computations (67.5% saved)

derivations32.0ms (0.3%)

Memory

-20.4MiB live, 26.0MiB allocated; 2ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 54 to 19 computations (64.8% saved)

preprocess210.0ms (1.7%)

Memory

-6.1MiB live, 286.1MiB allocated; 129ms collecting garbage

Symmetry

(sort x y)

(sort x z)

Compiler

Compiled 1 182 to 867 computations (26.6% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze1.0ms (0.0%)

sample10.3s (82.0%)

preprocess62.0ms (0.5%)

sample0.0ms (0.0%)

series37.0ms (0.3%)

rewrite193.0ms (1.5%)

eval65.0ms (0.5%)

prune13.0ms (0.1%)

sample0.0ms (0.0%)

series59.0ms (0.5%)

rewrite309.0ms (2.5%)

eval209.0ms (1.7%)

prune44.0ms (0.4%)

sample2.0ms (0.0%)

series81.0ms (0.6%)

rewrite202.0ms (1.6%)

eval80.0ms (0.6%)

prune25.0ms (0.2%)

sample0.0ms (0.0%)

series71.0ms (0.6%)

rewrite223.0ms (1.8%)

eval141.0ms (1.1%)

prune31.0ms (0.2%)

regimes163.0ms (1.3%)

derivations32.0ms (0.3%)

preprocess210.0ms (1.7%)

end0.0ms (0.0%)

Profiling