Metrics for bug366 (missed optimization)

start0.0ms (0.0%)

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

analyze2.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample757.0ms (22.8%)

Memory

11.9MiB live, 1 009.5MiB allocated; 210ms collecting garbage

Samples

518.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 241.0ms

ival-mult!: 135.0ms (56.1% of total)

ival-sqrt: 72.0ms (29.9% of total)

ival-add!: 32.0ms (13.3% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

preprocess40.0ms (1.2%)

Memory

-21.0MiB live, 24.0MiB allocated; 8ms 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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.7%	(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))

Symmetry

(abs x)

(abs y)

(abs z)

(sort x y)

(sort x z)

(sort y z)

Compiler

Compiled 24 to 18 computations (25.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series22.0ms (0.7%)

Memory

23.8MiB live, 23.8MiB 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

rewrite131.0ms (4.0%)

Memory

1.4MiB live, 99.4MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
0	15	42
1	76	42
2	295	42
3	1111	42
4	2129	42
0	4090	37

Stop Event

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

Counts

9 → 410

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 (.f64 (fma.f64 x x (fma.f64 z z (.f64 y y))) (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (.f64 y y)))))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y))))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (fma.f64 x x (fma.f64 z z (.f64 y y)))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fma.f64 x x (fma.f64 z z (*.f64 y y)))) #s(literal 1/4 binary64)))
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(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (*.f64 y y) y) y) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (pow.f64 (.f64 y y) #s(literal 0 binary64)) (pow.f64 (.f64 y y) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(/.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 y) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y y) #s(literal -1 binary64)))
(/.f64 (fabs.f64 y) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(/.f64 (.f64 y y) (pow.f64 (.f64 y y) #s(literal 0 binary64)))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (.f64 (.f64 (*.f64 y y) y) y))
(fabs.f64 (*.f64 (neg.f64 y) (neg.f64 (fabs.f64 y))))
(fabs.f64 (*.f64 y (neg.f64 (fabs.f64 y))))
(fabs.f64 (*.f64 (neg.f64 y) (fabs.f64 y)))
(fabs.f64 (*.f64 y (fabs.f64 y)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y)))
(fabs.f64 (*.f64 (fabs.f64 y) (neg.f64 y)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 y)) y))
(fabs.f64 (*.f64 (fabs.f64 y) y))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 y y) y) y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
y
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 z z) (neg.f64 (fabs.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 z) (*.f64 z z)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 z) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 z z) (neg.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 z z) z) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 z) (neg.f64 (fabs.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 z) (neg.f64 (fabs.f64 z))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 z (neg.f64 (fabs.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z (neg.f64 (fabs.f64 z))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 z) (fabs.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 z) (fabs.f64 z)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 z (fabs.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z (fabs.f64 z)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fabs.f64 z)) (neg.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 z)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 z) (neg.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 z) (neg.f64 z)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fabs.f64 z)) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 z)) z) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 z) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 z) z) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 z) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fabs.f64 z)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 z z) #s(literal 0 binary64)) (*.f64 z z))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 z)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 (fabs.f64 z)) (*.f64 z z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 z) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (fabs.f64 z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (fabs.f64 z) (*.f64 z z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (neg.f64 z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 z) (*.f64 z z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))
(.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 (.f64 z (*.f64 z z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 z) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (pow.f64 (fabs.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (fabs.f64 z))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 z))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) z)
(*.f64 (pow.f64 z (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)))
(*.f64 (fabs.f64 z) (fabs.f64 z))
(*.f64 (neg.f64 z) (neg.f64 z))
(.f64 (.f64 z z) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 0 binary64)))
(.f64 (.f64 z z) (pow.f64 (fabs.f64 z) #s(literal 0 binary64)))
(.f64 (.f64 z z) (pow.f64 (neg.f64 z) #s(literal 0 binary64)))
(.f64 (.f64 z z) (pow.f64 z #s(literal 0 binary64)))
(.f64 (.f64 z z) (pow.f64 (.f64 (.f64 (*.f64 z z) z) z) #s(literal 0 binary64)))
(.f64 (.f64 z z) (pow.f64 (*.f64 z z) #s(literal 0 binary64)))
(*.f64 z z)
(pow.f64 (pow.f64 z #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 z z) z) z) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.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))
(/.f64 (pow.f64 (.f64 z z) #s(literal 0 binary64)) (pow.f64 (.f64 z z) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 z) #s(literal 1 binary64)) (pow.f64 (fabs.f64 z) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(/.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 z)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 z) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 z) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z z) #s(literal -1 binary64)))
(/.f64 (fabs.f64 z) (pow.f64 (*.f64 z z) #s(literal -1/2 binary64)))
(/.f64 (.f64 z z) (pow.f64 (.f64 z z) #s(literal 0 binary64)))
(neg.f64 (*.f64 (neg.f64 z) z))
(sqrt.f64 (.f64 (.f64 (*.f64 z z) z) z))
(fabs.f64 (*.f64 (neg.f64 z) (neg.f64 (fabs.f64 z))))
(fabs.f64 (*.f64 z (neg.f64 (fabs.f64 z))))
(fabs.f64 (*.f64 (neg.f64 z) (fabs.f64 z)))
(fabs.f64 (*.f64 z (fabs.f64 z)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 z)))
(fabs.f64 (*.f64 (fabs.f64 z) (neg.f64 z)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 z)) z))
(fabs.f64 (*.f64 (fabs.f64 z) z))
(fabs.f64 (*.f64 (neg.f64 z) z))
(fabs.f64 (*.f64 z z))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 z z) z) z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 z))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
z

eval60.0ms (1.8%)

Memory: -25.0MiB live, 66.5MiB allocated; 8ms collecting garbage
Compiler: Compiled 9 726 to 1 930 computations (80.2% saved)

prune12.0ms (0.4%)

Memory

22.0MiB live, 22.0MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	442	9	451
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	443	9	452

Accuracy

92.2%

Counts

452 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.7%	(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
▶	47.3%	(sqrt.f64 (+.f64 (.f64 x x) #s(approx (+ ( y y) (* z z)) (pow.f64 z #s(literal 2 binary64)))))
	5.4%	(sqrt.f64 #s(approx (+ (* x x) (+ (* y y) (* z z))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
▶	83.6%	#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)))))))
	5.2%	#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)))))))
▶	5.5%	#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)))))))
▶	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))
▶	1.6%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (*.f64 #s(literal -1 binary64) x))

Compiler

Compiled 368 to 264 computations (28.3% saved)

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
1/2
2
-1

Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series66.0ms (2.0%)

Memory

-25.3MiB live, 76.3MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	403	3561

Stop Event

1×	iter-limit

Counts

30 → 111

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

rewrite201.0ms (6.1%)

Memory

11.8MiB live, 390.5MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	285
0	54	281
1	253	281
2	1186	265
0	4129	238

Stop Event

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

Counts

30 → 1 058

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

eval181.0ms (5.4%)

Memory: 33.8MiB live, 351.2MiB allocated; 58ms collecting garbage
Compiler: Compiled 48 123 to 7 260 computations (84.9% saved)

prune47.0ms (1.4%)

Memory

-18.3MiB live, 81.3MiB allocated; 31ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	1 266	10	1 276
Fresh	1	3	4
Picked	5	0	5
Done	0	0	0
Total	1 272	13	1 285

Accuracy

97.9%

Counts

1 285 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.7%	(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
	47.3%	(sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))))
	44.1%	(sqrt.f64 (+.f64 (.f64 x x) #s(approx (+ ( y y) (* z z)) (exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))))))
▶	84.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) z)))
▶	100.0%	#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))))))))
▶	99.5%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (*.f64 z z))))))))
	5.2%	#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)))))))
	5.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z x) (/.f64 z x) (.f64 y (/.f64 y (.f64 x x))))))))
▶	3.4%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #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))
▶	1.6%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
	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 (pow.f64 x #s(literal 2 binary64)) z))))

Compiler

Compiled 626 to 424 computations (32.3% saved)

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
1/2

Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series52.0ms (1.6%)

Memory

20.0MiB live, 109.0MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	426	3545

Stop Event

1×	iter-limit

Counts

31 → 110

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

Calls

9 calls:

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

rewrite180.0ms (5.4%)

Memory

6.5MiB live, 286.6MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	379
0	67	364
1	359	334
2	1519	332
0	4054	313

Stop Event

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

Counts

31 → 1 560

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

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

eval548.0ms (16.5%)

Memory: -83.7MiB live, 418.5MiB allocated; 872ms collecting garbage
Compiler: Compiled 45 284 to 6 709 computations (85.2% saved)

prune50.0ms (1.5%)

Memory

12.7MiB live, 107.2MiB allocated; 29ms collecting garbage

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1 191	5	1 196
Fresh	0	8	8
Picked	3	2	5
Done	0	0	0
Total	1 194	15	1 209

Accuracy

97.9%

Counts

1 209 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.7%	(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
	47.3%	(sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))))
	44.1%	(sqrt.f64 (+.f64 (.f64 x x) #s(approx (+ ( y y) (* z z)) (exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))))))
	84.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) z) z))
	84.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (.f64 #s(approx (+ ( y y) (* x x)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) z)))
▶	96.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 #s(approx (* (+ (* y y) (* x x)) 1/2) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) z)))
	99.5%	#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 (exp.f64 (.f64 (log.f64 z) #s(literal 2 binary64)))) (.f64 x (/.f64 x (exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))))))))))
▶	100.0%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z)))))
	5.2%	#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)))))))
▶	5.7%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z x) (/.f64 z x) (.f64 y (/.f64 y (.f64 x x))))))))
✓	3.4%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #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))
✓	1.6%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))
	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 (pow.f64 x #s(literal 2 binary64)) z))))

Compiler

Compiled 705 to 470 computations (33.3% saved)

sample0.0ms (0.0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
1/2
2

Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series68.0ms (2.0%)

Memory

-27.3MiB live, 112.2MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	497	4274

Stop Event

1×	iter-limit

Counts

35 → 137

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 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z))))
z
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (.f64 (/.f64 x z) x)) z)))
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (.f64 (/.f64 x z) x)) z))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z)
(fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x))
(/.f64 y z)
y
(*.f64 (/.f64 x z) x)
(/.f64 x z)
x
#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 z))
(neg.f64 z)
(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)))) (+.f64 z (/.f64 #s(approx (* (+ (* y y) (* x x)) 1/2) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) z)))
(+.f64 z (/.f64 #s(approx (* (+ (* y y) (* x x)) 1/2) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) z))
(/.f64 #s(approx (* (+ (* y y) (* x x)) 1/2) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) z)
#s(approx (* (+ (* y y) (* x x)) 1/2) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#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) (fma.f64 (/.f64 z x) (/.f64 z x) (.f64 y (/.f64 y (.f64 x x))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z x) (/.f64 z x) (.f64 y (/.f64 y (.f64 x x)))))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z x) (/.f64 z x) (.f64 y (/.f64 y (*.f64 x x))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z x) (/.f64 z x) (.f64 y (/.f64 y (*.f64 x x)))))
(fma.f64 (/.f64 z x) (/.f64 z x) (.f64 y (/.f64 y (.f64 x x))))
(/.f64 z x)
(.f64 y (/.f64 y (.f64 x x)))
(/.f64 y (*.f64 x 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))))))))))
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#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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 z) y) (* (/ x z) x)) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) z)))))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (* y y) (* x x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (+ z (/ (* (+ (* y y) (* x x)) 1/2) 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)) z)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (* (+ (* y y) (* x x)) 1/2) 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)) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (* (+ (* y y) (* x x)) 1/2) (.f64 (pow.f64 y #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 y #s(literal 2 binary64)))))))
#s(approx (* x (+ 1 (* 1/2 (+ (* (/ z x) (/ z x)) (* y (/ y (* x x))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
#s(approx (* x (+ 1 (* 1/2 (+ (* (/ z x) (/ z x)) (* y (/ y (* x x))))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (+ (* (/ z x) (/ z x)) (* y (/ y (* x x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (+ (* (/ z x) (/ z x)) (* y (/ y (* x x)))))) (.f64 (pow.f64 y #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)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* 1/2 (+ (* (/ z x) (/ z x)) (* y (/ y (* x x))))) (.f64 (pow.f64 y #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 x #s(literal 2 binary64)))))))
#s(approx (+ (* (/ z x) (/ z x)) (* y (/ y (* x x)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 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)))))))
#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 (* z (+ 1 (* 1/2 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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 (+ (* (/ y z) y) (* (/ x z) x)) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z))
#s(approx (neg z) (*.f64 #s(literal -1 binary64) z))
#s(approx (* x (+ 1 (* 1/2 (+ (* (/ z x) (/ z x)) (* y (/ y (* x x))))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1 (* 1/2 (+ (* (/ z x) (/ z x)) (* y (/ y (* x x))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1 (* 1/2 (+ (* (/ z x) (/ z x)) (* y (/ y (* x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #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)))))))
#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 (/ (+ (* (/ y z) y) (* (/ x z) x)) 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) (+ (* y y) (* x x))) (pow.f64 z #s(literal 2 binary64)))
#s(approx (+ (* z z) (+ (* y y) (* x x))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* x (+ 1 (* 1/2 (+ (* (/ z x) (/ z x)) (* y (/ y (* x x))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
#s(approx (* x (+ 1 (* 1/2 (+ (* (/ z x) (/ z x)) (* y (/ y (* x x))))))) (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (+ (* (/ z x) (/ z x)) (* y (/ y (* x x)))))) (.f64 (pow.f64 z #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)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* 1/2 (+ (* (/ z x) (/ z x)) (* y (/ y (* x x))))) (.f64 (pow.f64 z #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 x #s(literal 2 binary64)))))))
#s(approx (+ (* (/ z x) (/ z x)) (* y (/ y (* x x)))) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #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) (.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) (* (/ x z) x)) z)))) (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))))
#s(approx (+ 1 (* 1/2 (/ (+ (* (/ y z) y) (* (/ x z) x)) z))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (* 1/2 (/ (+ (* (/ y z) y) (* (/ x z) x)) z)) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (/ (+ (* (/ y z) y) (* (/ x z) x)) z) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ (* (/ y z) y) (* (/ x z) x)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) z)))
#s(approx (+ z (/ (* (+ (* y y) (* x x)) 1/2) 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
11.0ms	z	inf
8.0ms	x	inf
5.0ms	z	-inf
4.0ms	x	-inf
4.0ms	x	0

rewrite157.0ms (4.7%)

Memory

13.8MiB live, 252.8MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	366
0	70	353
1	349	323
2	1621	321
0	4017	312

Stop Event

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

Counts

35 → 1 404

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

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

eval229.0ms (6.9%)

Memory: -30.1MiB live, 371.1MiB allocated; 82ms collecting garbage
Compiler: Compiled 55 949 to 8 439 computations (84.9% saved)

prune35.0ms (1.0%)

Memory

30.8MiB live, 78.0MiB allocated; 2ms collecting garbage

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1 526	3	1 529
Fresh	2	6	8
Picked	2	3	5
Done	0	2	2
Total	1 530	14	1 544

Accuracy

97.9%

Counts

1 544 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.7%	(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
	47.3%	(sqrt.f64 (fma.f64 x x #s(approx (+ (* y y) (* z z)) (*.f64 z z))))
	44.1%	(sqrt.f64 (+.f64 (.f64 x x) #s(approx (+ ( y y) (* z z)) (exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))))))
	96.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (fma.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* (+ (* y y) (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/2 binary64))) z))
	96.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 (/.f64 #s(approx (* (+ (* y y) (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/2 binary64))) z) z))
	84.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+.f64 z (/.f64 (.f64 #s(approx (+ ( y y) (* x x)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) z)))
	99.5%	#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 (exp.f64 (.f64 (log.f64 z) #s(literal 2 binary64)))) (.f64 x (/.f64 x (exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))))))))))
✓	100.0%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 y z) y (*.f64 (/.f64 x z) x)) z)))))
	5.2%	#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)))))))
	5.8%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 z x) z (*.f64 (/.f64 y x) y)) x)))))
✓	3.4%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (.f64 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #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))
✓	1.6%	#s(approx (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg.f64 x))

Compiler

Compiled 345 to 229 computations (33.6% saved)

regimes189.0ms (5.7%)

Memory

3.4MiB live, 384.4MiB allocated; 15ms collecting garbage

Counts

5 → 1

6 → 1

7 → 1

19 → 1

28 → 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 x #s(approx (+ 1 ( 1/2 (/ (+ (pow y 2) (pow z 2)) (pow x 2)))) #s(literal 1 binary64))))

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

Call 3

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

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

Call 4

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

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

Call 5

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

Calls

45 calls:

9.0ms	z
9.0ms	(*.f64 y y)
8.0ms	(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))
7.0ms	y
7.0ms	x

Results

Accuracy	Segments	Branch
1.6%	1	`(*.f64 y y)`
1.6%	1	`y`
1.6%	1	`(*.f64 z z)`
1.6%	1	`(+.f64 (.f64 y y) (.f64 z z))`
1.6%	1	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
1.6%	1	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
1.6%	1	`z`
1.6%	1	`(*.f64 x x)`
1.6%	1	`x`
3.4%	1	`(*.f64 x x)`
3.4%	1	`x`
3.4%	1	`y`
3.4%	1	`(*.f64 z z)`
3.4%	1	`(*.f64 y y)`
3.4%	1	`(+.f64 (.f64 y y) (.f64 z z))`
3.4%	1	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
3.4%	1	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
3.4%	1	`z`
47.3%	1	`(*.f64 x x)`
47.3%	1	`x`
47.3%	1	`y`
47.3%	1	`(*.f64 z z)`
47.3%	1	`(*.f64 y y)`
47.3%	1	`(+.f64 (.f64 y y) (.f64 z z))`
47.3%	1	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
47.3%	1	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
47.3%	1	`z`
96.8%	1	`(*.f64 z z)`
96.8%	1	`(*.f64 y y)`
96.8%	1	`(+.f64 (.f64 y y) (.f64 z z))`
96.8%	1	`(*.f64 x x)`
96.8%	1	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
96.8%	1	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
96.8%	1	`x`
96.8%	1	`y`
96.8%	1	`z`
100.0%	1	`(*.f64 z z)`
100.0%	1	`(*.f64 y y)`
100.0%	1	`(+.f64 (.f64 y y) (.f64 z z))`
100.0%	1	`(*.f64 x x)`
100.0%	1	`(+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z)))`
100.0%	1	`(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 z z))))`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 913 to 382 computations (58.2% saved)

derivations109.0ms (3.3%)

Memory

-38.5MiB live, 116.1MiB allocated; 12ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 125 to 47 computations (62.4% saved)

preprocess188.0ms (5.7%)

Memory

75.4MiB live, 379.9MiB allocated; 66ms collecting garbage

Symmetry

(sort x y)

(sort x z)

Compiler

Compiled 2 647 to 1 580 computations (40.3% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze2.0ms (0.1%)

sample757.0ms (22.8%)

preprocess40.0ms (1.2%)

sample0.0ms (0.0%)

series22.0ms (0.7%)

rewrite131.0ms (4.0%)

eval60.0ms (1.8%)

prune12.0ms (0.4%)

sample0.0ms (0.0%)

series66.0ms (2.0%)

rewrite201.0ms (6.1%)

eval181.0ms (5.4%)

prune47.0ms (1.4%)

sample0.0ms (0.0%)

series52.0ms (1.6%)

rewrite180.0ms (5.4%)

eval548.0ms (16.5%)

prune50.0ms (1.5%)

sample0.0ms (0.0%)

series68.0ms (2.0%)

rewrite157.0ms (4.7%)

eval229.0ms (6.9%)

prune35.0ms (1.0%)

regimes189.0ms (5.7%)

derivations109.0ms (3.3%)

preprocess188.0ms (5.7%)

end0.0ms (0.0%)

Profiling