Metrics for bug366 (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

sample780.0ms (31.9%)

Memory

29.3MiB live, 1 007.1MiB allocated; 244ms collecting garbage

Samples

524.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 246.0ms

ival-mult!: 140.0ms (56.8% of total)

ival-sqrt: 65.0ms (26.4% of total)

ival-add!: 39.0ms (15.8% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess57.0ms (2.3%)

Memory

-3.6MiB live, 42.7MiB allocated; 5ms 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	4333	123

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.5%	(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 24 to 18 computations (25% saved)

series19.0ms (0.8%)

Memory

38.9MiB live, 38.9MiB 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
1.0ms	x	inf
1.0ms	y	-inf
1.0ms	x	0
1.0ms	z	inf
1.0ms	y	inf

rewrite58.0ms (2.4%)

Memory

-39.0MiB live, 61.9MiB allocated; 10ms 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)))))
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(*.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

eval23.0ms (0.9%)

Memory: 26.4MiB live, 26.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 5 168 to 841 computations (83.7% saved)

prune10.0ms (0.4%)

Memory

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

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	210	8	218
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	211	8	219

Accuracy

90.6%

Counts

219 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.7%	(.f64 (sqrt.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 y y)) (*.f64 x x)) #s(literal 1 binary64))) (fabs.f64 x))
	41.5%	(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
	41.0%	(sqrt.f64 (+.f64 (.f64 x x) #s(approx (+ ( y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))))
▶	80.9%	#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)))))))
▶	5.1%	#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)))))))
▶	0.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) z))
	1.1%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
▶	1.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))

Compiler

Compiled 300 to 218 computations (27.3% saved)

series74.0ms (3%)

Memory

-21.0MiB live, 69.3MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	722	7601

Stop Event

1×	iter-limit

Counts

34 → 184

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)
#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)))))))
(.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))))))
(+.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)))))
(*.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))))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))

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 (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.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)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))) (fma.f64 #s(literal 1/2 binary64) (/.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)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (/ (+ (pow x 2) (pow z 2)) (pow y 2)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ (+ (pow x 2) (pow z 2)) (pow y 2)) (+.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 (+ (pow x 2) (pow z 2)) (pow.f64 z #s(literal 2 binary64)))
#s(approx (+ (pow x 2) (pow z 2)) (+.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 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)))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z) (/.f64 (.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)))))) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 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)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (/ (+ (pow x 2) (pow y 2)) (pow z 2)) (/.f64 (pow.f64 x #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 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
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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 (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
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#s(approx 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 (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
12.0ms	x	0
7.0ms	y	inf
5.0ms	z	inf
4.0ms	z	0
4.0ms	y	0

rewrite137.0ms (5.6%)

Memory

19.7MiB live, 157.5MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	305
0	63	297
1	303	292
0	3726	267

Stop Event

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

Counts

34 → 828

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)
#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)))))))
(.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))))))
(+.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)))))
(*.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))))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))

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

eval147.0ms (6%)

Memory: 15.1MiB live, 243.3MiB allocated; 44ms collecting garbage
Compiler: Compiled 36 173 to 5 251 computations (85.5% saved)

prune30.0ms (1.2%)

Memory

7.1MiB live, 53.0MiB allocated; 3ms collecting garbage

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	1 004	16	1 020
Fresh	1	2	3
Picked	5	0	5
Done	0	0	0
Total	1 010	18	1 028

Accuracy

99.7%

Counts

1 028 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	16.7%	(.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))
	14.0%	(.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))
	5.5%	(.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))
	3.5%	(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(literal 1 binary64)) (fabs.f64 x))
▶	41.5%	(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
▶	5.1%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 (.f64 (/.f64 (fma.f64 z z (.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)) y y))
	80.9%	#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))
	84.2%	#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))))
▶	97.4%	#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))))))))
	96.7%	#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))))))))
	6.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 y (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 z z (.f64 x x)) y) #s(literal 1 binary64))))
	6.9%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z y) (/.f64 z y) (.f64 x (/.f64 x (.f64 y y))))))))
	6.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 z (.f64 y y)) (.f64 x (/.f64 x (*.f64 y y))))))))
	1.1%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
	0.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
▶	1.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
	2.7%	#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 x #s(literal 2 binary64)) z))))
	2.9%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))

Compiler

Compiled 920 to 610 computations (33.7% saved)

series74.0ms (3%)

Memory

-20.7MiB live, 93.9MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	737	7621

Stop Event

1×	iter-limit

Counts

33 → 181

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 z z (fma.f64 y y (*.f64 x x))))
(fma.f64 z z (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 (.f64 (/.f64 (fma.f64 z z (.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)) y y))
(fma.f64 (.f64 (/.f64 (fma.f64 z z (.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)) y y)
(.f64 (/.f64 (fma.f64 z z (.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 z z (.f64 x x)) (.f64 y y))
(fma.f64 z z (*.f64 x x))
(*.f64 y 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))
(sqrt.f64 (fma.f64 (/.f64 z x) (/.f64 z x) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64))))
(fma.f64 (/.f64 z x) (/.f64 z x) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 z x)
(fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64))
(/.f64 y (*.f64 x x))
(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 (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ (* y y) (* x x)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* y y) (* x x)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) (* y y)) 1/2) y) y) (+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
#s(approx (+ (* (* (/ (+ (* z z) (* x x)) (* y y)) 1/2) y) y) (+.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
#s(approx (* (/ (+ (* z z) (* x x)) (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* (/ (+ (* z z) (* x x)) (* y y)) 1/2) (fma.f64 #s(literal 1/2 binary64) (/.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)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (/ (+ (* z z) (* x x)) (* y y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ (+ (* z z) (* x x)) (* y y)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (+ (* z z) (* x x)) (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 (* (sqrt (+ (* (/ z x) (/ z x)) (+ (* 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 x) (/ z x)) (+ (* 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))
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#s(approx (sqrt (+ (* (/ z x) (/ z x)) (+ (* 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 x) (/ z x)) (+ (* 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 x) (/ z x)) (+ (* 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 (+ (* (/ z x) (/ z x)) (+ (* y (/ y (* x x))) 1)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (/ z x) (/ z x)) (+ (* y (/ y (* x x))) 1)) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.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 (* (sqrt (+ (* (/ z x) (/ z x)) (+ (* 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 x) (/ z x)) (+ (* 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 x) (/ z x)) (+ (* 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 x) (/ z x)) (+ (* 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 x) (/ z x)) (+ (* 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 x) (/ z x)) (+ (* 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 x) (/ z x)) (+ (* 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 x) (/ z x)) (+ (* 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
13.0ms	x	inf
9.0ms	z	0
4.0ms	x	0
3.0ms	x	-inf
3.0ms	y	-inf

rewrite213.0ms (8.7%)

Memory

-26.9MiB live, 158.1MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	311
0	67	289
1	354	272
2	4412	269
0	8895	262

Stop Event

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

Counts

33 → 1 081

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

eval167.0ms (6.9%)

Memory: 55.6MiB live, 328.2MiB allocated; 46ms collecting garbage
Compiler: Compiled 44 366 to 5 948 computations (86.6% saved)

prune42.0ms (1.7%)

Memory

-15.9MiB live, 83.1MiB allocated; 15ms collecting garbage

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	1 266	7	1 273
Fresh	7	6	13
Picked	0	5	5
Done	0	0	0
Total	1 273	18	1 291

Accuracy

99.7%

Counts

1 291 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.8%	(*.f64 (sqrt.f64 (fma.f64 (/.f64 z x) (/.f64 z x) (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)))) (fabs.f64 x))
✓	16.7%	(.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))
	3.5%	(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(literal 1 binary64)) (fabs.f64 x))
✓	41.5%	(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
▶	6.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 (/.f64 (/.f64 (.f64 (fma.f64 z z (.f64 x x)) #s(literal 1/2 binary64)) y) y) y y))
	6.9%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 (.f64 (fma.f64 (/.f64 z y) (/.f64 z y) (.f64 x (/.f64 x (*.f64 y y)))) #s(literal 1/2 binary64)) y y))
✓	5.1%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 (.f64 (/.f64 (fma.f64 z z (.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)) y y))
	80.9%	#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))
	84.2%	#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))))
✓	97.4%	#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))))))))
▶	96.7%	#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))))))))
	1.1%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
▶	0.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
✓	1.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
▶	6.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (+ (* (* (/ (+ (* z z) (* x x)) (* y y)) 1/2) y) y) (+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
	5.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (+ (* (* (/ (+ (* z z) (* x x)) (* y y)) 1/2) y) y) (+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
	2.9%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (+ (* (* (/ (+ (* z z) (* x x)) (* y y)) 1/2) y) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
▶	2.7%	#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 x #s(literal 2 binary64)) z))))

Compiler

Compiled 853 to 535 computations (37.3% saved)

series47.0ms (1.9%)

Memory

15.2MiB live, 108.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	413	3279

Stop Event

1×	iter-limit

Counts

35 → 104

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

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

Calls

9 calls:

Time	Variable	Point
5.0ms	z	-inf
5.0ms	x	inf
4.0ms	z	inf
4.0ms	z	0
3.0ms	y	-inf

rewrite247.0ms (10.1%)

Memory

-55.6MiB live, 246.1MiB allocated; 167ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	393
0	79	376
1	405	371
0	3913	351

Stop Event

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

Counts

35 → 674

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

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

eval92.0ms (3.8%)

Memory: 4.0MiB live, 145.0MiB allocated; 18ms collecting garbage
Compiler: Compiled 29 264 to 3 814 computations (87% saved)

prune17.0ms (0.7%)

Memory

31.2MiB live, 31.2MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	726	5	731
Fresh	5	3	8
Picked	4	1	5
Done	1	4	5
Total	736	13	749

Accuracy

99.7%

Counts

749 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.8%	(*.f64 (sqrt.f64 (fma.f64 (/.f64 z x) (/.f64 z x) (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)))) (fabs.f64 x))
✓	16.7%	(.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))
	3.5%	(.f64 #s(approx (sqrt (+ (/ (+ ( z z) (* y y)) (* x x)) 1)) #s(literal 1 binary64)) (fabs.f64 x))
✓	41.5%	(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
✓	97.4%	#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))))))))
	98.4%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z #s(approx (+ 1 ( 1/2 (+ (* (/ x (* z z)) x) (* y (/ y (* z z)))))) #s(literal 1 binary64))))
	1.1%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) y))
✓	0.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
✓	1.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
	6.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (+ (* (* (/ (+ (* z z) (* x x)) (* y y)) 1/2) y) y) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64) y)))
	7.2%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) #s(approx (+ (* (* (/ (+ (* z z) (* x x)) (* y y)) 1/2) y) y) (+.f64 y (.f64 #s(literal 1/2 binary64) (.f64 z (/.f64 z y))))))
	2.7%	#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 (.f64 #s(literal 1/2 binary64) (.f64 x x)) z)))
	2.6%	#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 x (/.f64 x z)))))

Compiler

Compiled 337 to 216 computations (35.9% saved)

regimes106.0ms (4.3%)

Memory

-2.6MiB live, 136.6MiB allocated; 7ms collecting garbage

Accuracy

Total -0.6b remaining (-0.9%)

Threshold costs -0.6b (-0.9%)

Counts

5 → 1

37 → 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))

Call 2

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

Calls

18 calls:

11.0ms	z
9.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))
9.0ms	y
9.0ms	x
9.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
1.7%	1	`(*.f64 z z)`
1.7%	1	`(*.f64 y y)`
1.7%	1	`(+.f64 (.f64 y y) (.f64 z z))`
1.7%	1	`(*.f64 x x)`
1.7%	1	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
1.7%	1	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
1.7%	1	`x`
1.7%	1	`y`
1.7%	1	`z`
98.4%	1	`(*.f64 z z)`
98.4%	1	`(*.f64 y y)`
98.4%	1	`(+.f64 (.f64 y y) (.f64 z z))`
98.4%	1	`(*.f64 x x)`
98.4%	1	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
98.4%	1	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`

Compiler

Compiled 1 101 to 300 computations (72.8% saved)

derivations63.0ms (2.6%)

Memory

-17.0MiB live, 33.6MiB allocated; 5ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 51 to 24 computations (52.9% saved)

preprocess37.0ms (1.5%)

Memory

9.8MiB live, 55.7MiB allocated; 4ms collecting garbage

Remove

(abs z)

(abs y)

(abs x)

Compiler

Compiled 501 to 319 computations (36.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample780.0ms (31.9%)

preprocess57.0ms (2.3%)

series19.0ms (0.8%)

rewrite58.0ms (2.4%)

eval23.0ms (0.9%)

prune10.0ms (0.4%)

series74.0ms (3%)

rewrite137.0ms (5.6%)

eval147.0ms (6%)

prune30.0ms (1.2%)

series74.0ms (3%)

rewrite213.0ms (8.7%)

eval167.0ms (6.9%)

prune42.0ms (1.7%)

series47.0ms (1.9%)

rewrite247.0ms (10.1%)

eval92.0ms (3.8%)

prune17.0ms (0.7%)

regimes106.0ms (4.3%)

derivations63.0ms (2.6%)

preprocess37.0ms (1.5%)

end0.0ms (0%)

Profiling