Metrics for bug366 (missed optimization)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
100%	99.9%	0%	0.1%	0%	0%	0%	4

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample656.0ms (21.1%)

Memory

-16.1MiB live, 538.0MiB allocated; 122ms collecting garbage

Samples

427.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 242.0ms

ival-mult!: 151.0ms (62.5% of total)

ival-sqrt: 60.0ms (24.8% of total)

ival-add!: 30.0ms (12.4% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess85.0ms (2.7%)

Memory

-3.0MiB live, 42.3MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	123
1	122	123
2	354	123
3	477	123
4	915	123
5	4332	123

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.7%	(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))

Symmetry

(abs x)

(abs y)

(abs z)

(sort x y z)

Compiler

Compiled 18 to 18 computations (0% saved)

series18.0ms (0.6%)

Memory

20.6MiB live, 20.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	1600

Stop Event

1×	iter-limit

Counts

9 → 48

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite51.0ms (1.7%)

Memory

-8.4MiB live, 38.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
0	15	42
1	76	42
0	901	37

Stop Event

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

Counts

9 → 177

Calls

Call 1

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

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

eval22.0ms (0.7%)

Memory: 24.3MiB live, 24.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 457 to 841 computations (65.8% saved)

prune43.0ms (1.4%)

Memory

-35.3MiB live, 11.7MiB allocated; 2ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	208	10	218
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	209	10	219

Accuracy

92.0%

Counts

219 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.9%	(.f64 (sqrt.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 y y)) (*.f64 x x)) #s(literal 1 binary64))) (fabs.f64 x))
	45.7%	(sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x))))
	44.9%	(sqrt.f64 (+.f64 (.f64 x x) #s(approx (+ ( y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))))
	5.4%	(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
▶	42.5%	(exp.f64 (.f64 (log.f64 (fma.f64 x x (fma.f64 z z (.f64 y y)))) #s(literal 1/2 binary64)))
▶	82.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 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)))))))
	5.3%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
▶	0.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z))
	1.3%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
▶	1.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))

Compiler

Compiled 266 to 266 computations (0% saved)

series86.0ms (2.8%)

Memory

21.0MiB live, 113.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	917	9669

Stop Event

1×	iter-limit

Counts

32 → 228

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 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)))))))
(.f64 z (+.f64 #s(literal 1 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))))))
z
(+.f64 #s(literal 1 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(literal 1 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(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)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 y #s(literal 2 binary64))
y
(pow.f64 z #s(literal 2 binary64))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) z)
(.f64 (sqrt.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 y y)) (*.f64 x x)) #s(literal 1 binary64))) (fabs.f64 x))
(sqrt.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 y y)) (.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (fma.f64 z z (.f64 y y)) (.f64 x x)) #s(literal 1 binary64))
(/.f64 (fma.f64 z z (.f64 y y)) (.f64 x x))
(fma.f64 z z (*.f64 y y))
(*.f64 y y)
(*.f64 x x)
(fabs.f64 x)
(exp.f64 (.f64 (log.f64 (fma.f64 x x (fma.f64 z z (.f64 y y)))) #s(literal 1/2 binary64)))
(.f64 (log.f64 (fma.f64 x x (fma.f64 z z (.f64 y y)))) #s(literal 1/2 binary64))
(log.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))))
(fma.f64 x x (fma.f64 z z (*.f64 y y)))

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

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	z	@	inf	((sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (pow x 2) x 2 (pow y 2) y (pow z 2) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (* -1 x) -1 (sqrt (+ (* x x) (+ (* y y) (* z z)))) (* -1 z) (* (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (fabs x)) (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (+ (/ (+ (* z z) (* y y)) (* x x)) 1) (/ (+ (* z z) (* y y)) (* x x)) (+ (* z z) (* y y)) (* y y) (* x x) (fabs x) (exp (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2)) (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log (+ (* x x) (+ (* z z) (* y y)))) (+ (* x x) (+ (* z z) (* y y))))
7.0ms	y	@	0	((sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (pow x 2) x 2 (pow y 2) y (pow z 2) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (* -1 x) -1 (sqrt (+ (* x x) (+ (* y y) (* z z)))) (* -1 z) (* (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (fabs x)) (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (+ (/ (+ (* z z) (* y y)) (* x x)) 1) (/ (+ (* z z) (* y y)) (* x x)) (+ (* z z) (* y y)) (* y y) (* x x) (fabs x) (exp (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2)) (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log (+ (* x x) (+ (* z z) (* y y)))) (+ (* x x) (+ (* z z) (* y y))))
6.0ms	x	@	0	((sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (pow x 2) x 2 (pow y 2) y (pow z 2) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (* -1 x) -1 (sqrt (+ (* x x) (+ (* y y) (* z z)))) (* -1 z) (* (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (fabs x)) (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (+ (/ (+ (* z z) (* y y)) (* x x)) 1) (/ (+ (* z z) (* y y)) (* x x)) (+ (* z z) (* y y)) (* y y) (* x x) (fabs x) (exp (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2)) (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log (+ (* x x) (+ (* z z) (* y y)))) (+ (* x x) (+ (* z z) (* y y))))
6.0ms	y	@	inf	((sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (pow x 2) x 2 (pow y 2) y (pow z 2) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (* -1 x) -1 (sqrt (+ (* x x) (+ (* y y) (* z z)))) (* -1 z) (* (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (fabs x)) (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (+ (/ (+ (* z z) (* y y)) (* x x)) 1) (/ (+ (* z z) (* y y)) (* x x)) (+ (* z z) (* y y)) (* y y) (* x x) (fabs x) (exp (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2)) (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log (+ (* x x) (+ (* z z) (* y y)))) (+ (* x x) (+ (* z z) (* y y))))
5.0ms	z	@	0	((sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (pow x 2) x 2 (pow y 2) y (pow z 2) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (* -1 x) -1 (sqrt (+ (* x x) (+ (* y y) (* z z)))) (* -1 z) (* (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (fabs x)) (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (+ (/ (+ (* z z) (* y y)) (* x x)) 1) (/ (+ (* z z) (* y y)) (* x x)) (+ (* z z) (* y y)) (* y y) (* x x) (fabs x) (exp (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2)) (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log (+ (* x x) (+ (* z z) (* y y)))) (+ (* x x) (+ (* z z) (* y y))))

rewrite136.0ms (4.4%)

Memory

-14.1MiB live, 136.4MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	256
0	60	249
1	270	236
0	3008	225

Stop Event

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

Counts

32 → 759

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 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)))))))
(.f64 z (+.f64 #s(literal 1 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))))))
z
(+.f64 #s(literal 1 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(literal 1 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(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)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 y #s(literal 2 binary64))
y
(pow.f64 z #s(literal 2 binary64))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) z)
(.f64 (sqrt.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 y y)) (*.f64 x x)) #s(literal 1 binary64))) (fabs.f64 x))
(sqrt.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 y y)) (.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (fma.f64 z z (.f64 y y)) (.f64 x x)) #s(literal 1 binary64))
(/.f64 (fma.f64 z z (.f64 y y)) (.f64 x x))
(fma.f64 z z (*.f64 y y))
(*.f64 y y)
(*.f64 x x)
(fabs.f64 x)
(exp.f64 (.f64 (log.f64 (fma.f64 x x (fma.f64 z z (.f64 y y)))) #s(literal 1/2 binary64)))
(.f64 (log.f64 (fma.f64 x x (fma.f64 z z (.f64 y y)))) #s(literal 1/2 binary64))
(log.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))))
(fma.f64 x x (fma.f64 z z (*.f64 y y)))

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

eval115.0ms (3.7%)

Memory: 38.2MiB live, 174.8MiB allocated; 18ms collecting garbage
Compiler: Compiled 14 426 to 4 858 computations (66.3% saved)

prune36.0ms (1.2%)

Memory

-3.2MiB live, 46.7MiB allocated; 17ms collecting garbage

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	978	15	993
Fresh	2	3	5
Picked	5	0	5
Done	0	0	0
Total	985	18	1 003

Accuracy

99.7%

Counts

1 003 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.1%	(.f64 (sqrt.f64 (fma.f64 (/.f64 z x) (/.f64 z x) (fma.f64 y (/.f64 y (.f64 x x)) #s(literal 1 binary64)))) (fabs.f64 x))
	11.2%	(.f64 (sqrt.f64 (+.f64 (fma.f64 (/.f64 y x) (/.f64 y x) (.f64 z (/.f64 z (*.f64 x x)))) #s(literal 1 binary64))) (fabs.f64 x))
▶	5.4%	(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (fabs.f64 x))
	3.4%	(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(literal 1 binary64)) (fabs.f64 x))
▶	45.7%	(sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x))))
▶	89.6%	(exp.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))
	5.6%	(exp.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))
	42.7%	#s(approx (* (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (fabs x)) (.f64 z (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
	5.5%	#s(approx (* (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (fabs x)) (.f64 y (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
	82.9%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z z))
	86.0%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 y y (.f64 x x)) z) #s(literal 1 binary64))))
▶	97.6%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (.f64 z z))))))))
	97.3%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (*.f64 z z))))))))
	5.3%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
	1.3%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
	0.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
▶	1.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
	4.4%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))

Compiler

Compiled 616 to 608 computations (1.3% saved)

series143.0ms (4.6%)

Memory

-17.3MiB live, 118.8MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	801	8047

Stop Event

1×	iter-limit

Counts

34 → 189

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (.f64 z z))))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (.f64 z z)))))))
z
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (*.f64 z z))))))
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (*.f64 z z)))))
#s(literal 1/2 binary64)
(fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (.f64 z z))))
(/.f64 y z)
y
(.f64 x (/.f64 x (.f64 z z)))
x
(/.f64 x (*.f64 z z))
(*.f64 z z)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
(neg.f64 x)
(sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x))))
(fma.f64 y y (fma.f64 z z (*.f64 x x)))
(fma.f64 z z (*.f64 x x))
(*.f64 x x)
(exp.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))
#s(literal -1 binary64)
(log.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (fabs.f64 x))
#s(approx (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(fabs.f64 x)

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

Calls

9 calls:

Time	Variable		Point	Expression
51.0ms	z	@	inf	((sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z))))))) z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z)))))) 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z))))) 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z)))) (/ y z) y (* x (/ x (* z z))) x (/ x (* z z)) (* z z) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg x) (sqrt (+ (* y y) (+ (* z z) (* x x)))) (+ (* y y) (+ (* z z) (* x x))) (+ (* z z) (* x x)) (* x x) (exp (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2)) (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (* -1 (log (/ 1 z))) -1 (log (/ 1 z)) (/ 1 z) (* (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (fabs x)) (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (* y (sqrt (/ 1 (pow x 2)))) (sqrt (/ 1 (pow x 2))) (/ 1 (pow x 2)) (pow x 2) 2 (fabs x))
34.0ms	z	@	0	((sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z))))))) z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z)))))) 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z))))) 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z)))) (/ y z) y (* x (/ x (* z z))) x (/ x (* z z)) (* z z) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg x) (sqrt (+ (* y y) (+ (* z z) (* x x)))) (+ (* y y) (+ (* z z) (* x x))) (+ (* z z) (* x x)) (* x x) (exp (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2)) (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (* -1 (log (/ 1 z))) -1 (log (/ 1 z)) (/ 1 z) (* (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (fabs x)) (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (* y (sqrt (/ 1 (pow x 2)))) (sqrt (/ 1 (pow x 2))) (/ 1 (pow x 2)) (pow x 2) 2 (fabs x))
10.0ms	z	@	-inf	((sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z))))))) z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z)))))) 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z))))) 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z)))) (/ y z) y (* x (/ x (* z z))) x (/ x (* z z)) (* z z) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg x) (sqrt (+ (* y y) (+ (* z z) (* x x)))) (+ (* y y) (+ (* z z) (* x x))) (+ (* z z) (* x x)) (* x x) (exp (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2)) (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (* -1 (log (/ 1 z))) -1 (log (/ 1 z)) (/ 1 z) (* (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (fabs x)) (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (* y (sqrt (/ 1 (pow x 2)))) (sqrt (/ 1 (pow x 2))) (/ 1 (pow x 2)) (pow x 2) 2 (fabs x))
5.0ms	x	@	inf	((sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z))))))) z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z)))))) 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z))))) 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z)))) (/ y z) y (* x (/ x (* z z))) x (/ x (* z z)) (* z z) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg x) (sqrt (+ (* y y) (+ (* z z) (* x x)))) (+ (* y y) (+ (* z z) (* x x))) (+ (* z z) (* x x)) (* x x) (exp (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2)) (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (* -1 (log (/ 1 z))) -1 (log (/ 1 z)) (/ 1 z) (* (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (fabs x)) (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (* y (sqrt (/ 1 (pow x 2)))) (sqrt (/ 1 (pow x 2))) (/ 1 (pow x 2)) (pow x 2) 2 (fabs x))
3.0ms	x	@	-inf	((sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z))))))) z (+ 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z)))))) 1 (* 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z))))) 1/2 (+ (* (/ y z) (/ y z)) (* x (/ x (* z z)))) (/ y z) y (* x (/ x (* z z))) x (/ x (* z z)) (* z z) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg x) (sqrt (+ (* y y) (+ (* z z) (* x x)))) (+ (* y y) (+ (* z z) (* x x))) (+ (* z z) (* x x)) (* x x) (exp (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2)) (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (* -1 (log (/ 1 z))) -1 (log (/ 1 z)) (/ 1 z) (* (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (fabs x)) (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (* y (sqrt (/ 1 (pow x 2)))) (sqrt (/ 1 (pow x 2))) (/ 1 (pow x 2)) (pow x 2) 2 (fabs x))

rewrite146.0ms (4.7%)

Memory

19.6MiB live, 157.3MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	300
0	71	270
1	349	246
0	3990	234

Stop Event

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

Counts

34 → 662

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (.f64 z z))))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (.f64 z z)))))))
z
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (*.f64 z z))))))
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (*.f64 z z)))))
#s(literal 1/2 binary64)
(fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (.f64 z z))))
(/.f64 y z)
y
(.f64 x (/.f64 x (.f64 z z)))
x
(/.f64 x (*.f64 z z))
(*.f64 z z)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
(neg.f64 x)
(sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x))))
(fma.f64 y y (fma.f64 z z (*.f64 x x)))
(fma.f64 z z (*.f64 x x))
(*.f64 x x)
(exp.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))
#s(literal -1 binary64)
(log.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (fabs.f64 x))
#s(approx (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(fabs.f64 x)

Outputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) z)) z)
(.f64 (.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) #s(literal 1 binary64))
(.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)
(.f64 z (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))))
(/.f64 (.f64 z (fma.f64 (pow.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) z) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) z) (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z) (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z))) (-.f64 z (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z) (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z)) (.f64 z (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z)))))
(fma.f64 (.f64 z (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z))) #s(literal 1/2 binary64) z)
(fma.f64 (.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) z)
(fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z z)
(fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) (*.f64 #s(literal 1/2 binary64) z) z)
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) z) z)
(fma.f64 z (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z)
(-.f64 z (.f64 (neg.f64 z) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64))))
(-.f64 z (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal -1/2 binary64)) z))
(-.f64 z (neg.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z)))
(+.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z) z)
(+.f64 z (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) z))
z
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)))) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)))))
(.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))))
(neg.f64 (-.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (/.f64 y z))) (fabs.f64 (/.f64 y z)) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z z))) x #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 y) z)) (/.f64 (neg.f64 y) z) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z z))) x #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y z)) (/.f64 y z) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z z))) x #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (.f64 (/.f64 x (.f64 z z)) x) (.f64 y y)) (.f64 z z) #s(literal 1 binary64))) (.f64 y (/.f64 y (*.f64 z z))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 x (.f64 z z)) x) #s(literal 1/2 binary64)) (.f64 (.f64 y (/.f64 y (.f64 z z))) #s(literal 1/2 binary64)))) (.f64 (.f64 y (/.f64 y (*.f64 z z))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (/.f64 (.f64 (/.f64 x (.f64 z z)) x) (.f64 y y)) (.f64 z z) #s(literal 1 binary64)) (.f64 (.f64 y (/.f64 y (*.f64 z z))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 y z)) (.f64 (fabs.f64 (/.f64 y z)) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z z))) x #s(literal 1 binary64)))
(fma.f64 (/.f64 (neg.f64 y) z) (.f64 (/.f64 (neg.f64 y) z) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z z))) x #s(literal 1 binary64)))
(fma.f64 (.f64 y (/.f64 y (.f64 z z))) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 z z))) x #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 y z) (.f64 (/.f64 y z) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z z))) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 y (.f64 z z))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 z z))) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)))))
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#s(literal 2 binary64)
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eval139.0ms (4.5%)

Memory: 18.1MiB live, 115.7MiB allocated; 14ms collecting garbage
Compiler: Compiled 11 428 to 3 771 computations (67% saved)

prune27.0ms (0.9%)

Memory

-3.1MiB live, 41.2MiB allocated; 7ms collecting garbage

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	793	8	801
Fresh	5	8	13
Picked	2	3	5
Done	0	0	0
Total	800	19	819

Accuracy

99.7%

Counts

819 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.1%	(.f64 (sqrt.f64 (fma.f64 (/.f64 z x) (/.f64 z x) (fma.f64 y (/.f64 y (.f64 x x)) #s(literal 1 binary64)))) (fabs.f64 x))
▶	27.6%	(.f64 (sqrt.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 x x)) (*.f64 y y)) #s(literal 1 binary64))) (fabs.f64 y))
▶	5.6%	(.f64 (fabs.f64 x) #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (/.f64 y (fabs.f64 x))))
	5.5%	(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) (fabs.f64 x))
	1.2%	(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (*.f64 y #s(approx (sqrt (/ 1 (pow x 2))) (/.f64 #s(literal -1 binary64) x)))) (fabs.f64 x))
	5.6%	(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(approx (* y (sqrt (/ 1 (pow x 2)))) (/.f64 y x))) (fabs.f64 x))
	1.2%	(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(approx (* y (sqrt (/ 1 (pow x 2)))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))) (fabs.f64 x))
	3.4%	(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(literal 1 binary64)) (fabs.f64 x))
✓	45.7%	(sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x))))
	5.6%	(exp.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))
▶	89.6%	(exp.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log.f64 z)))
	42.7%	#s(approx (* (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (fabs x)) (.f64 z (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
	82.9%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z z))
	86.0%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 y y (.f64 x x)) z) #s(literal 1 binary64))))
✓	97.6%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (.f64 z z))))))))
▶	97.3%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x (.f64 z z)) x (.f64 y (/.f64 y (*.f64 z z))))))))
	1.3%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
▶	0.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
✓	1.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))

Compiler

Compiled 587 to 580 computations (1.2% saved)

series117.0ms (3.8%)

Memory

-36.8MiB live, 159.1MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1105	11949

Stop Event

1×	iter-limit

Counts

31 → 251

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	z	@	0	((sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (* y (/ y (* z z))))))) z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (* y (/ y (* z z)))))) 1 (* 1/2 (+ (* (/ x (* z z)) x) (* y (/ y (* z z))))) 1/2 (+ (* (/ x (* z z)) x) (* y (/ y (* z z)))) (/ x (* z z)) x (* z z) (* y (/ y (* z z))) y (/ y (* z z)) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg z) (* (fabs x) (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1))) (fabs x) (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (/ y (fabs x)) (exp (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2)) (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log z) (* (sqrt (+ (/ (+ (* z z) (* x x)) (* y y)) 1)) (fabs y)) (sqrt (+ (/ (+ (* z z) (* x x)) (* y y)) 1)) (+ (/ (+ (* z z) (* x x)) (* y y)) 1) (/ (+ (* z z) (* x x)) (* y y)) (+ (* z z) (* x x)) (* x x) (* y y) (fabs y))
11.0ms	z	@	inf	((sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (* y (/ y (* z z))))))) z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (* y (/ y (* z z)))))) 1 (* 1/2 (+ (* (/ x (* z z)) x) (* y (/ y (* z z))))) 1/2 (+ (* (/ x (* z z)) x) (* y (/ y (* z z)))) (/ x (* z z)) x (* z z) (* y (/ y (* z z))) y (/ y (* z z)) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg z) (* (fabs x) (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1))) (fabs x) (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (/ y (fabs x)) (exp (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2)) (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log z) (* (sqrt (+ (/ (+ (* z z) (* x x)) (* y y)) 1)) (fabs y)) (sqrt (+ (/ (+ (* z z) (* x x)) (* y y)) 1)) (+ (/ (+ (* z z) (* x x)) (* y y)) 1) (/ (+ (* z z) (* x x)) (* y y)) (+ (* z z) (* x x)) (* x x) (* y y) (fabs y))
10.0ms	z	@	-inf	((sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (* y (/ y (* z z))))))) z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (* y (/ y (* z z)))))) 1 (* 1/2 (+ (* (/ x (* z z)) x) (* y (/ y (* z z))))) 1/2 (+ (* (/ x (* z z)) x) (* y (/ y (* z z)))) (/ x (* z z)) x (* z z) (* y (/ y (* z z))) y (/ y (* z z)) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg z) (* (fabs x) (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1))) (fabs x) (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (/ y (fabs x)) (exp (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2)) (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log z) (* (sqrt (+ (/ (+ (* z z) (* x x)) (* y y)) 1)) (fabs y)) (sqrt (+ (/ (+ (* z z) (* x x)) (* y y)) 1)) (+ (/ (+ (* z z) (* x x)) (* y y)) 1) (/ (+ (* z z) (* x x)) (* y y)) (+ (* z z) (* x x)) (* x x) (* y y) (fabs y))
6.0ms	x	@	0	((sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (* y (/ y (* z z))))))) z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (* y (/ y (* z z)))))) 1 (* 1/2 (+ (* (/ x (* z z)) x) (* y (/ y (* z z))))) 1/2 (+ (* (/ x (* z z)) x) (* y (/ y (* z z)))) (/ x (* z z)) x (* z z) (* y (/ y (* z z))) y (/ y (* z z)) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg z) (* (fabs x) (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1))) (fabs x) (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (/ y (fabs x)) (exp (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2)) (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log z) (* (sqrt (+ (/ (+ (* z z) (* x x)) (* y y)) 1)) (fabs y)) (sqrt (+ (/ (+ (* z z) (* x x)) (* y y)) 1)) (+ (/ (+ (* z z) (* x x)) (* y y)) 1) (/ (+ (* z z) (* x x)) (* y y)) (+ (* z z) (* x x)) (* x x) (* y y) (fabs y))
5.0ms	x	@	inf	((sqrt (+ (* x x) (+ (* y y) (* z z)))) (* z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (* y (/ y (* z z))))))) z (+ 1 (* 1/2 (+ (* (/ x (* z z)) x) (* y (/ y (* z z)))))) 1 (* 1/2 (+ (* (/ x (* z z)) x) (* y (/ y (* z z))))) 1/2 (+ (* (/ x (* z z)) x) (* y (/ y (* z z)))) (/ x (* z z)) x (* z z) (* y (/ y (* z z))) y (/ y (* z z)) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg z) (* (fabs x) (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1))) (fabs x) (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (/ y (fabs x)) (exp (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2)) (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log z) (* (sqrt (+ (/ (+ (* z z) (* x x)) (* y y)) 1)) (fabs y)) (sqrt (+ (/ (+ (* z z) (* x x)) (* y y)) 1)) (+ (/ (+ (* z z) (* x x)) (* y y)) 1) (/ (+ (* z z) (* x x)) (* y y)) (+ (* z z) (* x x)) (* x x) (* y y) (fabs y))

rewrite179.0ms (5.8%)

Memory

25.0MiB live, 212.5MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	292
0	68	288
1	324	271
2	3687	269
0	8224	250

Stop Event

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

Counts

31 → 710

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z) z)) z)
(.f64 (.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) #s(literal 1 binary64))
(.f64 (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)
(.f64 z (fma.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 z (neg.f64 (expm1.f64 (.f64 (log.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z)) #s(literal 1/2 binary64))))
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(fabs.f64 (fabs.f64 y))
(fabs.f64 y)
(exp.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))

eval119.0ms (3.8%)

Memory: -17.9MiB live, 169.1MiB allocated; 24ms collecting garbage
Compiler: Compiled 14 820 to 4 804 computations (67.6% saved)

prune28.0ms (0.9%)

Memory

4.2MiB live, 51.1MiB allocated; 2ms collecting garbage

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	933	8	941
Fresh	2	9	11
Picked	2	3	5
Done	1	2	3
Total	938	22	960

Accuracy

100.0%

Counts

960 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.6%	(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log.f64 z)))))
	5.6%	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(approx (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (/.f64 y (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))
	52.0%	(.f64 (sqrt.f64 (fma.f64 (/.f64 z y) (/.f64 z y) (fma.f64 x (/.f64 x (.f64 y y)) #s(literal 1 binary64)))) (fabs.f64 y))
	38.4%	(.f64 (sqrt.f64 (fma.f64 z (/.f64 z (.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))) (fabs.f64 y))
	27.6%	(.f64 (fabs.f64 y) (sqrt.f64 (-.f64 (/.f64 (fma.f64 z z (.f64 x x)) (*.f64 y y)) #s(literal -1 binary64))))
✓	5.6%	(.f64 (fabs.f64 x) #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (/.f64 y (fabs.f64 x))))
	5.6%	(.f64 (fabs.f64 x) #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) y))))
	3.4%	(.f64 (fabs.f64 x) #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(literal 1 binary64)))
	5.5%	(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) (fabs.f64 x))
	1.2%	(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (*.f64 y #s(approx (sqrt (/ 1 (pow x 2))) (/.f64 #s(literal -1 binary64) x)))) (fabs.f64 x))
	5.6%	(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(approx (* y (sqrt (/ 1 (pow x 2)))) (/.f64 y x))) (fabs.f64 x))
	1.2%	(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(approx (* y (sqrt (/ 1 (pow x 2)))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))) (fabs.f64 x))
	64.0%	(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* x x)) (* y y)) 1)) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (fabs.f64 y))
✓	45.7%	(sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x))))
	5.6%	(exp.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))
✓	89.6%	(exp.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log.f64 z)))
	42.7%	#s(approx (* (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (fabs x)) (.f64 z (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
	82.9%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z z))
	86.0%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 y y (.f64 x x)) z) #s(literal 1 binary64))))
	1.3%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
✓	0.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
✓	1.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))

Compiler

Compiled 748 to 569 computations (23.9% saved)

regimes96.0ms (3.1%)

Memory

30.1MiB live, 129.8MiB allocated; 6ms collecting garbage

Counts

42 → 2

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(literal 1 binary64)) (fabs.f64 x))
(.f64 (fabs.f64 x) #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(literal 1 binary64)))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(approx (* y (sqrt (/ 1 (pow x 2)))) (/.f64 y x))) (fabs.f64 x))
(.f64 (fabs.f64 x) #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (/.f64 y (fabs.f64 x))))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(approx (* y (sqrt (/ 1 (pow x 2)))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))) (fabs.f64 x))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (*.f64 y #s(approx (sqrt (/ 1 (pow x 2))) (/.f64 #s(literal -1 binary64) x)))) (fabs.f64 x))
(.f64 (fabs.f64 x) #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) y))))
(sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x))))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) (fabs.f64 x))
(exp.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log.f64 z)))
(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(approx (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (/.f64 y (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log.f64 z)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z z))
(exp.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))
(exp.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 y y (.f64 x x)) z) #s(literal 1 binary64))))
(.f64 (fabs.f64 y) (sqrt.f64 (-.f64 (/.f64 (fma.f64 z z (.f64 x x)) (*.f64 y y)) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 x x)) (*.f64 y y)) #s(literal 1 binary64))) (fabs.f64 y))
(.f64 (sqrt.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 y y)) (*.f64 x x)) #s(literal 1 binary64))) (fabs.f64 x))
(sqrt.f64 (+.f64 (.f64 x x) #s(approx (+ ( y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (fabs x)) (.f64 y (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (fabs x)) (.f64 z (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* x x)) (* y y)) 1)) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (fabs.f64 y))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (fabs.f64 x))
(.f64 (sqrt.f64 (fma.f64 z (/.f64 z (.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))) (fabs.f64 y))
(.f64 (sqrt.f64 (fma.f64 (/.f64 z x) (/.f64 z x) (fma.f64 y (/.f64 y (.f64 x x)) #s(literal 1 binary64)))) (fabs.f64 x))
(.f64 (sqrt.f64 (fma.f64 (/.f64 z y) (/.f64 z y) (fma.f64 x (/.f64 x (.f64 y y)) #s(literal 1 binary64)))) (fabs.f64 y))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (*.f64 z z))))))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x (.f64 z z)) x (.f64 y (/.f64 y (*.f64 z z))))))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 y z) (.f64 x (/.f64 x (.f64 z z))))))))
(.f64 (sqrt.f64 (+.f64 (fma.f64 (/.f64 y x) (/.f64 y x) (.f64 z (/.f64 z (*.f64 x x)))) #s(literal 1 binary64))) (fabs.f64 x))
(exp.f64 (.f64 (log.f64 (fma.f64 x x (fma.f64 z z (.f64 y y)))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 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)))) (.f64 z (+.f64 #s(literal 1 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)))))))

Outputs

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

(*.f64 (sqrt.f64 (fma.f64 (/.f64 z y) (/.f64 z y) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))) (fabs.f64 y))

Calls

9 calls:

12.0ms	x
11.0ms	(+.f64 (.f64 y y) (.f64 z z))
11.0ms	z
11.0ms	y
10.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
99.5%	2	`(*.f64 z z)`
99.7%	2	`(*.f64 y y)`
99.5%	2	`(+.f64 (.f64 y y) (.f64 z z))`
97.6%	1	`(*.f64 x x)`
99.5%	2	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
99.5%	2	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
97.6%	1	`x`
99.7%	2	`y`
99.5%	2	`z`

Compiler

Compiled 31 to 44 computations (-41.9% saved)

regimes84.0ms (2.7%)

Memory

9.1MiB live, 142.4MiB allocated; 11ms collecting garbage

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(literal 1 binary64)) (fabs.f64 x))
(.f64 (fabs.f64 x) #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(literal 1 binary64)))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(approx (* y (sqrt (/ 1 (pow x 2)))) (/.f64 y x))) (fabs.f64 x))
(.f64 (fabs.f64 x) #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (/.f64 y (fabs.f64 x))))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(approx (* y (sqrt (/ 1 (pow x 2)))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))) (fabs.f64 x))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (*.f64 y #s(approx (sqrt (/ 1 (pow x 2))) (/.f64 #s(literal -1 binary64) x)))) (fabs.f64 x))
(.f64 (fabs.f64 x) #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) y))))
(sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x))))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) (fabs.f64 x))
(exp.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log.f64 z)))
(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(approx (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (/.f64 y (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log.f64 z)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z z))
(exp.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))
(exp.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 y y (.f64 x x)) z) #s(literal 1 binary64))))
(.f64 (fabs.f64 y) (sqrt.f64 (-.f64 (/.f64 (fma.f64 z z (.f64 x x)) (*.f64 y y)) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 x x)) (*.f64 y y)) #s(literal 1 binary64))) (fabs.f64 y))
(.f64 (sqrt.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 y y)) (*.f64 x x)) #s(literal 1 binary64))) (fabs.f64 x))
(sqrt.f64 (+.f64 (.f64 x x) #s(approx (+ ( y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (fabs x)) (.f64 y (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (fabs x)) (.f64 z (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* x x)) (* y y)) 1)) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (fabs.f64 y))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (fabs.f64 x))
(.f64 (sqrt.f64 (fma.f64 z (/.f64 z (.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))) (fabs.f64 y))
(.f64 (sqrt.f64 (fma.f64 (/.f64 z x) (/.f64 z x) (fma.f64 y (/.f64 y (.f64 x x)) #s(literal 1 binary64)))) (fabs.f64 x))

Outputs

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

(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log.f64 z)))))

Calls

9 calls:

13.0ms	z
12.0ms	(*.f64 z z)
10.0ms	y
9.0ms	x
8.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
93.4%	2	`(*.f64 x x)`
93.4%	2	`x`
93.4%	2	`(*.f64 z z)`
93.4%	2	`(+.f64 (.f64 y y) (.f64 z z))`
93.4%	2	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
93.4%	2	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
93.8%	2	`z`
97.6%	2	`(*.f64 y y)`
97.6%	2	`y`

Compiler

Compiled 31 to 44 computations (-41.9% saved)

regimes66.0ms (2.1%)

Memory

-27.1MiB live, 27.8MiB allocated; 129ms collecting garbage

Counts

22 → 3

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(literal 1 binary64)) (fabs.f64 x))
(.f64 (fabs.f64 x) #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(literal 1 binary64)))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(approx (* y (sqrt (/ 1 (pow x 2)))) (/.f64 y x))) (fabs.f64 x))
(.f64 (fabs.f64 x) #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (/.f64 y (fabs.f64 x))))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(approx (* y (sqrt (/ 1 (pow x 2)))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))) (fabs.f64 x))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (*.f64 y #s(approx (sqrt (/ 1 (pow x 2))) (/.f64 #s(literal -1 binary64) x)))) (fabs.f64 x))
(.f64 (fabs.f64 x) #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) y))))
(sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x))))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) (fabs.f64 x))
(exp.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log.f64 z)))
(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(approx (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (/.f64 y (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log.f64 z)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z z))
(exp.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))
(exp.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))

Outputs

(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log.f64 z)))))

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

(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log.f64 z)))))

Calls

2 calls:

59.0ms	y
6.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
95.7%	2	`(*.f64 y y)`
97.3%	3	`y`

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes56.0ms (1.8%)

Memory

-13.1MiB live, 82.2MiB allocated; 15ms collecting garbage

Counts

19 → 3

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(literal 1 binary64)) (fabs.f64 x))
(.f64 (fabs.f64 x) #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(literal 1 binary64)))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(approx (* y (sqrt (/ 1 (pow x 2)))) (/.f64 y x))) (fabs.f64 x))
(.f64 (fabs.f64 x) #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (/.f64 y (fabs.f64 x))))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(approx (* y (sqrt (/ 1 (pow x 2)))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))) (fabs.f64 x))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (*.f64 y #s(approx (sqrt (/ 1 (pow x 2))) (/.f64 #s(literal -1 binary64) x)))) (fabs.f64 x))
(.f64 (fabs.f64 x) #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) y))))
(sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x))))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) (fabs.f64 x))
(exp.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log.f64 z)))
(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(approx (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (/.f64 y (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log.f64 z)))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))

Outputs

(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log.f64 z)))))

(sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x))))

(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log.f64 z)))))

Calls

9 calls:

11.0ms	z
9.0ms	(*.f64 z z)
6.0ms	x
5.0ms	y
5.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
93.5%	3	`(*.f64 z z)`
93.5%	3	`(+.f64 (.f64 y y) (.f64 z z))`
93.5%	3	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
93.5%	3	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
89.6%	1	`(*.f64 x x)`
89.6%	1	`x`
93.5%	3	`z`
89.6%	1	`(*.f64 y y)`
89.6%	1	`y`

Compiler

Compiled 31 to 44 computations (-41.9% saved)

regimes24.0ms (0.8%)

Memory

31.3MiB live, 31.3MiB allocated; 0ms collecting garbage

Counts

17 → 3

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(literal 1 binary64)) (fabs.f64 x))
(.f64 (fabs.f64 x) #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(literal 1 binary64)))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(approx (* y (sqrt (/ 1 (pow x 2)))) (/.f64 y x))) (fabs.f64 x))
(.f64 (fabs.f64 x) #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (/.f64 y (fabs.f64 x))))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(approx (* y (sqrt (/ 1 (pow x 2)))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))) (fabs.f64 x))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (*.f64 y #s(approx (sqrt (/ 1 (pow x 2))) (/.f64 #s(literal -1 binary64) x)))) (fabs.f64 x))
(.f64 (fabs.f64 x) #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) y))))
(sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x))))
(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) (fabs.f64 x))
(exp.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log.f64 z)))
(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(approx (sqrt (+ (/ (+ (* z z) (* y y)) (* x x)) 1)) (/.f64 y (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))

Outputs

(exp.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log.f64 z)))

(sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x))))

(exp.f64 #s(approx (* (log (+ (* x x) (+ (* z z) (* y y)))) 1/2) (log.f64 z)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
93.5%	3	`(*.f64 z z)`
93.5%	3	`(+.f64 (.f64 y y) (.f64 z z))`
93.5%	3	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
93.5%	3	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
93.5%	3	`z`

Compiler

Compiled 25 to 30 computations (-20% saved)

regimes44.0ms (1.4%)

Memory

2.4MiB live, 47.6MiB allocated; 7ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 x x))))

Calls

9 calls:

12.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))
4.0ms	z
4.0ms	x
4.0ms	y
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))

Results

Accuracy	Segments	Branch
45.7%	1	`(*.f64 y y)`
45.7%	1	`y`
45.7%	1	`(*.f64 x x)`
45.7%	1	`x`
45.7%	1	`(*.f64 z z)`
45.7%	1	`(+.f64 (.f64 y y) (.f64 z z))`
45.7%	1	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
45.7%	1	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
45.7%	1	`z`

Compiler

Compiled 31 to 44 computations (-41.9% saved)

regimes42.0ms (1.3%)

Memory

-7.8MiB live, 43.9MiB allocated; 7ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Calls

9 calls:

13.0ms	(*.f64 x x)
4.0ms	y
4.0ms	z
4.0ms	x
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
5.6%	1	`(*.f64 z z)`
5.6%	1	`(*.f64 y y)`
5.6%	1	`(+.f64 (.f64 y y) (.f64 z z))`
5.6%	1	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
5.6%	1	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
5.6%	1	`y`
5.6%	1	`(*.f64 x x)`
5.6%	1	`x`
5.6%	1	`z`

Compiler

Compiled 31 to 44 computations (-41.9% saved)

regimes29.0ms (0.9%)

Memory

-14.1MiB live, 31.9MiB allocated; 6ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

9 calls:

10.0ms	(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))
2.0ms	x
2.0ms	y
2.0ms	z
2.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))

Results

Accuracy	Segments	Branch
3.4%	1	`z`
3.4%	1	`(*.f64 z z)`
3.4%	1	`(+.f64 (.f64 y y) (.f64 z z))`
3.4%	1	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
3.4%	1	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
3.4%	1	`y`
3.4%	1	`(*.f64 y y)`
3.4%	1	`(*.f64 x x)`
3.4%	1	`x`

Compiler

Compiled 31 to 44 computations (-41.9% saved)

regimes17.0ms (0.5%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.6b remaining (-1%)

Threshold costs -0.6b (-1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
1.8%	1	`x`
1.8%	1	`(*.f64 x x)`
1.8%	1	`(*.f64 y y)`
1.8%	1	`y`
1.8%	1	`(*.f64 z z)`
1.8%	1	`(+.f64 (.f64 y y) (.f64 z z))`
1.8%	1	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
1.8%	1	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
1.8%	1	`z`

Compiler

Compiled 31 to 44 computations (-41.9% saved)

bsearch27.0ms (0.9%)

Memory

-30.2MiB live, 15.7MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	1.0451477740799032e+120	6.360308550951218e+129

Samples

20.0ms

160×

valid

Compiler

Compiled 325 to 335 computations (-3.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-add!: 13.0ms (80.7% of total)

ival-mult!: 2.0ms (12.4% of total)

ival-sqrt: 1.0ms (6.2% of total)

adjust: 0.0ms (0% of total)

bsearch11.0ms (0.3%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	9.644121316286764e+152	2.4799652451934713e+154

Samples

5.0ms

112×

valid

Compiler

Compiled 260 to 274 computations (-5.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sqrt: 1.0ms (36.9% of total)

ival-mult!: 1.0ms (36.9% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

bsearch16.0ms (0.5%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.644121316286764e+152	2.4799652451934713e+154
13.0ms	1.37895759480433e-256	7.125959497393709e-247

Samples

7.0ms

160×

valid

Compiler

Compiled 593 to 627 computations (-5.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult!: 2.0ms (52.8% of total)

ival-add!: 1.0ms (26.4% of total)

ival-sqrt: 1.0ms (26.4% of total)

adjust: 0.0ms (0% of total)

bsearch35.0ms (1.1%)

Memory

-16.7MiB live, 27.9MiB allocated; 10ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.7809357548680107e+149	1.2011186714795588e+155
20.0ms	8.243764342473881e-157	1.4848606526287416e-140

Samples

21.0ms

304×

valid

Compiler

Compiled 471 to 509 computations (-8.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult!: 4.0ms (55.4% of total)

ival-sqrt: 2.0ms (27.7% of total)

ival-add!: 1.0ms (13.8% of total)

adjust: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.7809357548680107e+149	1.2011186714795588e+155
1.0ms	8.243764342473881e-157	1.4848606526287416e-140

Compiler

Compiled 414 to 452 computations (-9.2% saved)

derivations194.0ms (6.2%)

Memory

-6.4MiB live, 180.4MiB allocated; 80ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 120 to 81 computations (32.5% saved)

preprocess215.0ms (6.9%)

Memory

-0.5MiB live, 392.1MiB allocated; 63ms collecting garbage

Remove

(abs z)

(abs y)

(abs x)

Compiler

Compiled 2 053 to 1 958 computations (4.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample656.0ms (21.1%)

preprocess85.0ms (2.7%)

series18.0ms (0.6%)

rewrite51.0ms (1.7%)

eval22.0ms (0.7%)

prune43.0ms (1.4%)

series86.0ms (2.8%)

rewrite136.0ms (4.4%)

eval115.0ms (3.7%)

prune36.0ms (1.2%)

series143.0ms (4.6%)

rewrite146.0ms (4.7%)

eval139.0ms (4.5%)

prune27.0ms (0.9%)

series117.0ms (3.8%)

rewrite179.0ms (5.8%)

eval119.0ms (3.8%)

prune28.0ms (0.9%)

regimes96.0ms (3.1%)

regimes84.0ms (2.7%)

regimes66.0ms (2.1%)

regimes56.0ms (1.8%)

regimes24.0ms (0.8%)

regimes44.0ms (1.4%)

regimes42.0ms (1.3%)

regimes29.0ms (0.9%)

regimes17.0ms (0.5%)

bsearch27.0ms (0.9%)

bsearch11.0ms (0.3%)

bsearch16.0ms (0.5%)

bsearch35.0ms (1.1%)

bsearch2.0ms (0.1%)

derivations194.0ms (6.2%)

preprocess215.0ms (6.9%)

end0.0ms (0%)

Profiling