Metrics for FRP.Yampa.Vector3:vector3Rho from Yampa-0.10.2

start0.0ms (0.0%)

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

analyze1.0ms (0.0%)

Memory

1.7MiB live, 1.7MiB 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)

sample1.0s (28.8%)

Memory

-11.9MiB live, 1 464.2MiB allocated; 511ms collecting garbage

Samples

777.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 336.0ms

ival-mult!: 218.0ms (64.8% of total)

ival-sqrt: 73.0ms (21.7% of total)

ival-add!: 44.0ms (13.1% of total)

adjust: 1.0ms (0.3% of total)

Bogosity

preprocess31.0ms (0.9%)

Memory

-13.9MiB live, 39.2MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	123
1	126	123
2	371	123
3	503	123
4	941	123

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.1%	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.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

series24.0ms (0.7%)

Memory

38.7MiB live, 38.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	1636

Stop Event

1×	iter-limit

Counts

9 → 48

Calls

Call 1

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

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) (* y y)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* x x) (* y y)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* x x) (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 (+ (* x x) (* y y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (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)
#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 (+ (* x x) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (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 z) (pow.f64 z #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 (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
3.0ms	x	0
2.0ms	x	inf
1.0ms	y	-inf
1.0ms	y	inf
1.0ms	z	inf

rewrite170.0ms (4.7%)

Memory

-23.3MiB live, 208.2MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
0	15	42
1	78	42
2	318	42
3	1021	42
4	2066	42
0	4027	37

Stop Event

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

Counts

9 → 410

Calls

Call 1

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

Outputs
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(pow.f64 (.f64 (.f64 (*.f64 y y) y) y) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 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 (*.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 (.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 (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

eval69.0ms (1.9%)

Memory: 18.2MiB live, 107.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 9 726 to 1 931 computations (80.1% saved)

prune17.0ms (0.5%)

Memory

-20.9MiB live, 31.6MiB allocated; 10ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	443	8	451
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	444	8	452

Accuracy

91.3%

Counts

452 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.1%	(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
▶	49.1%	(sqrt.f64 (+.f64 #s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z z)))
▶	84.4%	#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)))))))
▶	5.5%	#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 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
▶	0.8%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) z))
	1.2%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
▶	1.8%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) x))

Compiler

Compiled 328 to 236 computations (28.0% saved)

sample0.0ms (0.0%)

Memory

0.5MiB live, 0.5MiB 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)

series48.0ms (1.3%)

Memory

10.0MiB live, 100.7MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	403	3599

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

Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
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#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 (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))))
#s(approx (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 (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 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) (/.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 (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
#s(approx (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))) (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (*.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))))))
#s(approx (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))) (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))) (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (+ (pow x 2) (pow z 2)) (pow y 2)) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #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 (+ (pow x 2) (pow z 2)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (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
8.0ms	z	inf
4.0ms	x	inf
3.0ms	x	0
3.0ms	y	inf
2.0ms	z	0

rewrite181.0ms (5.0%)

Memory

-2.0MiB live, 338.2MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	285
0	54	281
1	254	281
2	1230	281
0	4095	250

Stop Event

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

Counts

30 → 1 065

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

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

eval171.0ms (4.7%)

Memory: 21.6MiB live, 294.7MiB allocated; 33ms collecting garbage
Compiler: Compiled 48 806 to 7 465 computations (84.7% saved)

prune43.0ms (1.2%)

Memory

-13.0MiB live, 86.2MiB allocated; 14ms collecting garbage

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	1 262	15	1 277
Fresh	0	3	3
Picked	5	0	5
Done	0	0	0
Total	1 267	18	1 285

Accuracy

96.2%

Counts

1 285 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.1%	(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
▶	49.1%	(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
	45.7%	(exp.f64 (.f64 (log.f64 (fma.f64 z z #s(approx (+ ( x x) (* y y)) (*.f64 y y)))) #s(literal 1/2 binary64)))
	84.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z z))
	86.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 y y (.f64 x x)) z) #s(literal 1 binary64))))
	98.0%	#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 x z) (/.f64 x z) (.f64 y (/.f64 y (.f64 z z))))))))
▶	98.0%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y (.f64 z z)) (.f64 x (/.f64 x (*.f64 z z))))))))
	6.9%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z y) (/.f64 z y) (.f64 x (/.f64 x (.f64 y y))))))))
	6.8%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (.f64 z (/.f64 z (.f64 y y))))))))
▶	6.8%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 z (.f64 y y)) (.f64 x (/.f64 x (*.f64 y y))))))))
	5.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 y #s(approx (+ 1 ( 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))) #s(literal 1 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 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
	1.2%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
	0.8%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
▶	1.8%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))
▶	4.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))
	6.8%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
	2.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))

Compiler

Compiled 972 to 648 computations (33.3% saved)

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB 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)

series57.0ms (1.6%)

Memory

28.8MiB live, 117.6MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	424	3770

Stop Event

1×	iter-limit

Counts

34 → 114

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

Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
#s(approx (* z (+ 1 (* 1/2 (+ (* y (/ y (* z 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 (/ y (* z 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 (/ y (* z 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 (/ y (* z 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 (/ y (* z 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 (/ y (* z 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 (/ y (* z z))) (* x (/ x (* z z)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (* y (/ y (* z z))) (* x (/ x (* z z)))) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* x (/ x (* z z))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
#s(approx x x)
#s(approx (/ x (* z z)) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (+ (* z z) (+ (* x x) (* y y))) (+.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))) (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 (/ y (* z 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 (/ y (* z 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 (/ y (* z 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 (/ y (* z 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 (/ y (* z 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 (* y (+ 1 (* 1/2 (+ (* z (/ z (* y y))) (* x (/ x (* y y))))))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* y (+ 1 (* 1/2 (+ (* z (/ z (* y y))) (* x (/ x (* y y))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (+ 1 (* 1/2 (+ (* z (/ z (* y y))) (* x (/ x (* y y)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 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 (/ y (* z 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 (+ (* z z) (+ (* x x) (* y y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* y (+ 1 (* 1/2 (+ (* z (/ z (* y y))) (* x (/ x (* y y))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
#s(approx (* y (+ 1 (* 1/2 (+ (* z (/ z (* y y))) (* x (/ x (* y y))))))) (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (*.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))))))
#s(approx (+ 1 (* 1/2 (+ (* z (/ z (* y y))) (* x (/ x (* y y)))))) (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))))
#s(approx (* 1/2 (+ (* z (/ z (* y y))) (* x (/ x (* y y))))) (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (* z (/ z (* y y))) (* x (/ x (* y y)))) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #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 (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 (/ y (* z 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
7.0ms	y	inf
4.0ms	x	inf
4.0ms	y	0
4.0ms	x	-inf
3.0ms	z	inf

rewrite194.0ms (5.4%)

Memory

10.7MiB live, 308.5MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	383
0	73	368
1	363	353
2	1636	349
0	4455	318

Stop Event

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

Counts

34 → 1 712

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

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

eval405.0ms (11.2%)

Memory: -25.3MiB live, 549.2MiB allocated; 250ms collecting garbage
Compiler: Compiled 68 860 to 10 152 computations (85.3% saved)

prune64.0ms (1.8%)

Memory

-10.2MiB live, 130.7MiB allocated; 18ms collecting garbage

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	1 800	9	1 809
Fresh	5	8	13
Picked	2	3	5
Done	0	0	0
Total	1 807	20	1 827

Accuracy

96.3%

Counts

1 827 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.1%	(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
✓	49.1%	(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
▶	84.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z z))
	86.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) z) #s(literal 1/2 binary64)) (/.f64 z z) z))
▶	98.0%	#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 x z) (/.f64 x z) (.f64 (/.f64 y (.f64 z z)) y))))))
	98.0%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 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))))))))))
▶	99.3%	#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)))))
✓	6.8%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 z (.f64 y y)) (.f64 x (/.f64 x (*.f64 y y))))))))
	6.8%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 z (.f64 y y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))))))))
	7.1%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 z y) z (/.f64 (*.f64 x x) y)) y)))))
	7.1%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 z y) z (*.f64 (/.f64 x y) x)) y)))))
	5.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 y #s(approx (+ 1 ( 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))) #s(literal 1 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 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
	1.2%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
▶	0.8%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
✓	1.8%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))
▶	4.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) z)))
	4.3%	#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 y (/.f64 y z)))))
	6.8%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
	2.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))

Compiler

Compiled 1 081 to 719 computations (33.5% 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)

series75.0ms (2.1%)

Memory

35.1MiB live, 126.0MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	376	2953

Stop Event

1×	iter-limit

Counts

35 → 93

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)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) z)))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) z))
(/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) z)
(.f64 (.f64 y y) #s(literal 1/2 binary64))
(*.f64 y y)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z z))
(fma.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64)) z z)
(.f64 (/.f64 (fma.f64 y y (.f64 x x)) (*.f64 z z)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 y y (.f64 x x)) (.f64 z z))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 z z)
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (.f64 (/.f64 y (.f64 z z)) y))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (.f64 (/.f64 y (.f64 z z)) y)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (.f64 (/.f64 y (*.f64 z z)) y))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (.f64 (/.f64 y (*.f64 z z)) y)))
(fma.f64 (/.f64 x z) (/.f64 x z) (.f64 (/.f64 y (.f64 z z)) y))
(.f64 (/.f64 y (.f64 z z)) y)
(/.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) (* (/ x z) x)) 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) (* (/ x z) x)) 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) (* (/ x z) x)) 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) (* (/ x z) x)) 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) (* (/ x z) x)) 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) (* (/ x z) x)) 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) (* (/ x z) x)) z) (/.f64 (pow.f64 y #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 z #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)) z))
#s(approx (+ (* (/ y z) y) (* (/ x z) x)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))
#s(approx (* (/ x z) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
#s(approx (/ x z) (/.f64 x z))
#s(approx x x)
#s(approx (+ (* (* (/ (+ (* y y) (* x x)) (* z z)) 1/2) z) z) (+.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))
#s(approx (+ (* (* (/ (+ (* y y) (* x x)) (* z z)) 1/2) z) z) (+.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))))
#s(approx (+ (* y y) (* x x)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* y y) (* x x)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (* (/ y z) y) (* (/ x z) x)) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
#s(approx (* z (+ 1 (* 1/2 (/ (+ (* (/ y z) y) (* (/ x z) x)) z)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/2 (/ (+ (* (/ y z) y) (* (/ x z) x)) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (/ (+ (* (/ y z) y) (* (/ x z) x)) z))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))))
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#s(approx (/ y z) (/.f64 y z))
#s(approx y y)
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#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 (+ 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
21.0ms	z	-inf
10.0ms	z	inf
8.0ms	y	inf
4.0ms	y	-inf
3.0ms	x	inf

rewrite264.0ms (7.3%)

Memory

13.4MiB live, 438.2MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	402
0	77	393
1	401	333
2	1662	331
0	4344	324

Stop Event

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

Counts

35 → 2 997

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

Outputs
#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+.f64 z (.f64 (/.f64 (fma.f64 x x (.f64 y y)) z) #s(literal 1/2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z) z)) z)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z))) (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z))) (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z))
(.f64 (fma.f64 (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)
(.f64 z (fma.f64 (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 z)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z) (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z) (-.f64 (.f64 z z) (.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z) (neg.f64 (neg.f64 z))))))
(/.f64 (+.f64 (.f64 (.f64 z z) z) (pow.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) z) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) z) #s(literal 1/2 binary64)) (.f64 (/.f64 (fma.f64 x x (.f64 y y)) z) #s(literal 1/2 binary64))) (.f64 z (.f64 (/.f64 (fma.f64 x x (.f64 y y)) z) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 z z) z) (pow.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal -1/2 binary64)) z) #s(literal 3 binary64))) (fma.f64 z z (fma.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal -1/2 binary64)) z) (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal -1/2 binary64)) z) (.f64 z (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 z z)) #s(literal -1/2 binary64)) z)))))
(/.f64 (-.f64 (.f64 (.f64 z z) z) (pow.f64 (.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z))) (.f64 #s(literal 1/2 binary64) z)) #s(literal 3 binary64))) (fma.f64 z z (fma.f64 (.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z))) (.f64 #s(literal 1/2 binary64) z)) (.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z))) (.f64 #s(literal 1/2 binary64) z)) (.f64 z (.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z))) (*.f64 #s(literal 1/2 binary64) z))))))
(/.f64 (-.f64 (.f64 (.f64 z z) z) (pow.f64 (.f64 (neg.f64 z) (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.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 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64))) (.f64 (neg.f64 z) (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64))) (.f64 z (.f64 (neg.f64 z) (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 z z) z) (pow.f64 (neg.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z)) #s(literal 3 binary64))) (fma.f64 z z (fma.f64 (neg.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z)) (neg.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z)) (.f64 z (neg.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z))))))
(/.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z) (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z))) (-.f64 z (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z)))
(/.f64 (+.f64 (.f64 (.f64 z z) z) (pow.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z) (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z)) (.f64 z (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z) #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z) (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z) (+.f64 (.f64 z z) (.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z) (neg.f64 z)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z) (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z)) (.f64 z z)) (+.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z) (neg.f64 z)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z) (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z)) (.f64 z z)) (-.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z) z))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z) #s(literal 3 binary64)) (.f64 (.f64 z z) z)) (fma.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z) (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z) (-.f64 (.f64 z z) (.f64 (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z) z))))
(neg.f64 (-.f64 (neg.f64 z) (.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) #s(literal 1/2 binary64)) z)))
(fma.f64 (/.f64 z (neg.f64 (fabs.f64 z))) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))) (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 z)))
(fma.f64 (/.f64 z (neg.f64 (fabs.f64 z))) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))) (neg.f64 (fabs.f64 z))) z)
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))) (neg.f64 (fabs.f64 z))) (/.f64 z (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 z)))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))) (neg.f64 (fabs.f64 z))) (/.f64 z (neg.f64 (fabs.f64 z))) z)
(fma.f64 (/.f64 z (neg.f64 (neg.f64 z))) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))) (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 z)))
(fma.f64 (/.f64 z (neg.f64 (neg.f64 z))) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))) (neg.f64 (neg.f64 z))) z)
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))) (neg.f64 (neg.f64 z))) (/.f64 z (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 z)))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))) (neg.f64 (neg.f64 z))) (/.f64 z (neg.f64 (neg.f64 z))) z)
(fma.f64 (/.f64 z (fabs.f64 z)) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))) (fabs.f64 z)) (neg.f64 (neg.f64 z)))
(fma.f64 (/.f64 z (fabs.f64 z)) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))) (fabs.f64 z)) z)
(fma.f64 (/.f64 z (neg.f64 z)) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))) (neg.f64 z)) (neg.f64 (neg.f64 z)))
(fma.f64 (/.f64 z (neg.f64 z)) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))) (neg.f64 z)) z)
(fma.f64 (/.f64 (neg.f64 (fma.f64 x x (.f64 y y))) (fabs.f64 z)) (/.f64 (.f64 #s(literal 1/2 binary64) z) (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 z)))
(fma.f64 (/.f64 (neg.f64 (fma.f64 x x (.f64 y y))) (fabs.f64 z)) (/.f64 (.f64 #s(literal 1/2 binary64) z) (neg.f64 (fabs.f64 z))) z)
(fma.f64 (/.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) z) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 z z) (neg.f64 (neg.f64 z)))
(fma.f64 (/.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) 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 x x (.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 z)))
(fma.f64 (/.f64 z #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z)
(fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 y y)) z) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) z) z) (neg.f64 (neg.f64 z)))
(fma.f64 (/.f64 (/.f64 (fma.f64 x x (.f64 y y)) z) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) z) z) z)
(fma.f64 (/.f64 (fma.f64 x x (.f64 y y)) (neg.f64 (fabs.f64 z))) (/.f64 (.f64 #s(literal 1/2 binary64) z) (neg.f64 (fabs.f64 z))) (neg.f64 (neg.f64 z)))
(fma.f64 (/.f64 (fma.f64 x x (.f64 y y)) (neg.f64 (fabs.f64 z))) (/.f64 (.f64 #s(literal 1/2 binary64) z) (neg.f64 (fabs.f64 z))) z)
(fma.f64 (/.f64 z z) (/.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) z) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 z)))
(fma.f64 (/.f64 z z) (/.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) z) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z)
(fma.f64 (/.f64 z z) (.f64 (/.f64 (fma.f64 x x (.f64 y y)) z) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 z)))
(fma.f64 (/.f64 z z) (.f64 (/.f64 (fma.f64 x x (.f64 y y)) z) #s(literal 1/2 binary64)) z)
(fma.f64 (.f64 z (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 z z))) #s(literal 1/2 binary64) (neg.f64 (neg.f64 z)))
(fma.f64 (.f64 z (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 z z))) #s(literal 1/2 binary64) z)
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))) (fabs.f64 z)) (/.f64 z (fabs.f64 z)) (neg.f64 (neg.f64 z)))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))) (fabs.f64 z)) (/.f64 z (fabs.f64 z)) z)
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))) (neg.f64 z)) (/.f64 z (neg.f64 z)) (neg.f64 (neg.f64 z)))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y y))) (neg.f64 z)) (/.f64 z (neg.f64 z)) z)
(fma.f64 (/.f64 (fma.f64 x x (.f64 y y)) (fabs.f64 z)) (/.f64 (.f64 #s(literal 1/2 binary64) z) (fabs.f64 z)) (neg.f64 (neg.f64 z)))
(fma.f64 (/.f64 (fma.f64 x x (.f64 y y)) (fabs.f64 z)) (/.f64 (.f64 #s(literal 1/2 binary64) z) (fabs.f64 z)) z)
(fma.f64 (.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 z z)) (neg.f64 (neg.f64 z)))
(fma.f64 (.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 z z)) z)
(fma.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) z) #s(literal 1/2 binary64)) (/.f64 z z) (neg.f64 (neg.f64 z)))
(fma.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) z) #s(literal 1/2 binary64)) (/.f64 z z) z)
(fma.f64 (/.f64 (fma.f64 x x (.f64 y y)) (neg.f64 z)) (/.f64 (.f64 #s(literal 1/2 binary64) z) (neg.f64 z)) (neg.f64 (neg.f64 z)))
(fma.f64 (/.f64 (fma.f64 x x (.f64 y y)) (neg.f64 z)) (/.f64 (.f64 #s(literal 1/2 binary64) z) (neg.f64 z)) z)
(fma.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 z #s(literal 1 binary64)) (neg.f64 (neg.f64 z)))
(fma.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 z #s(literal 1 binary64)) z)
(fma.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z (neg.f64 (neg.f64 z)))
(fma.f64 (.f64 (/.f64 (fma.f64 x x (.f64 y y)) (*.f64 z z)) #s(literal 1/2 binary64)) z z)
(fma.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) (/.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) (neg.f64 (neg.f64 z)))
(fma.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) (/.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z)
(fma.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) (*.f64 #s(literal 1/2 binary64) z) (neg.f64 (neg.f64 z)))
(fma.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) (*.f64 #s(literal 1/2 binary64) z) z)
(fma.f64 (/.f64 (fma.f64 x x (.f64 y y)) z) (/.f64 (.f64 #s(literal 1/2 binary64) z) (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 z)))
(fma.f64 (/.f64 (fma.f64 x x (.f64 y y)) z) (/.f64 (.f64 #s(literal 1/2 binary64) z) (neg.f64 (neg.f64 z))) z)
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eval239.0ms (6.6%)

Memory: 4.1MiB live, 565.6MiB allocated; 121ms collecting garbage
Compiler: Compiled 57 572 to 8 418 computations (85.4% saved)

prune60.0ms (1.7%)

Memory

-20.6MiB live, 119.8MiB allocated; 23ms collecting garbage

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	1 497	3	1 500
Fresh	3	9	12
Picked	1	4	5
Done	0	3	3
Total	1 501	19	1 520

Accuracy

96.3%

Counts

1 520 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.1%	(sqrt.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))
✓	49.1%	(sqrt.f64 (fma.f64 z z #s(approx (+ (* x x) (* y y)) (*.f64 y y))))
✓	98.0%	#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 x z) (/.f64 x z) (.f64 (/.f64 y (.f64 z z)) y))))))
	98.0%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 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))))))))))
✓	99.3%	#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)))))
	99.3%	#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 (/.f64 #s(literal 1 binary64) z) x) x)) z)))))
	98.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 z #s(approx (+ 1 ( 1/2 (/ (+ (* (/ y z) y) (* (/ x z) x)) z))) #s(literal 1 binary64))))
✓	6.8%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 z (.f64 y y)) (.f64 x (/.f64 x (*.f64 y y))))))))
	6.8%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 z (/.f64 z (.f64 y y)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))))))))
	7.1%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 z y) z (/.f64 (*.f64 x x) y)) y)))))
	7.1%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 z y) z (*.f64 (/.f64 x y) x)) y)))))
	5.7%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (.f64 y #s(approx (+ 1 ( 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2)))) #s(literal 1 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 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
	1.2%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (*.f64 #s(literal -1 binary64) y))
✓	0.8%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 z))
✓	1.8%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) (neg.f64 x))
✓	4.4%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) z)))
	4.3%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* z (+ 1 (* 1/2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))))) (.f64 (.f64 (/.f64 y z) y) #s(literal 1/2 binary64))))
	6.8%	#s(approx (sqrt (+ (+ (* x x) (* y y)) (* z z))) #s(approx (* y (+ 1 (* 1/2 (/ (+ (pow x 2) (pow z 2)) (pow y 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))

Compiler

Compiled 545 to 363 computations (33.4% saved)

regimes245.0ms (6.7%)

Memory

31.0MiB live, 609.7MiB allocated; 86ms collecting garbage

Counts

5 → 1

6 → 1

22 → 1

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

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

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

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

36 calls:

37.0ms	x
12.0ms	z
12.0ms	(*.f64 z z)
11.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
11.0ms	z

Results

Accuracy	Segments	Branch
1.8%	1	`(*.f64 y y)`
1.8%	1	`(+.f64 (.f64 x x) (.f64 y y))`
1.8%	1	`y`
1.8%	1	`x`
1.8%	1	`z`
1.8%	1	`(*.f64 x x)`
1.8%	1	`(*.f64 z z)`
1.8%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
1.8%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))`
5.7%	1	`(*.f64 z z)`
5.7%	1	`(*.f64 y y)`
5.7%	1	`(*.f64 x x)`
5.7%	1	`(+.f64 (.f64 x x) (.f64 y y))`
5.7%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
5.7%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))`
5.7%	1	`x`
5.7%	1	`y`
5.7%	1	`z`
98.7%	1	`(*.f64 z z)`
98.7%	1	`(*.f64 y y)`
98.7%	1	`(*.f64 x x)`
98.7%	1	`(+.f64 (.f64 x x) (.f64 y y))`
98.7%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
98.7%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))`
98.7%	1	`x`
98.7%	1	`y`
98.7%	1	`z`
99.3%	1	`(*.f64 z z)`
99.3%	1	`(*.f64 y y)`
99.3%	1	`(*.f64 x x)`
99.3%	1	`(+.f64 (.f64 x x) (.f64 y y))`
99.3%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
99.3%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))`
99.3%	1	`x`
99.3%	1	`y`
99.3%	1	`z`

Compiler

Compiled 1 181 to 397 computations (66.4% saved)

derivations54.0ms (1.5%)

Memory

-40.1MiB live, 57.4MiB allocated; 7ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 112 to 46 computations (58.9% saved)

preprocess172.0ms (4.7%)

Memory

37.4MiB live, 360.9MiB allocated; 46ms collecting garbage

Symmetry

(sort x y)

(sort x z)

Compiler

Compiled 2 914 to 1 846 computations (36.7% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze1.0ms (0.0%)

sample1.0s (28.8%)

preprocess31.0ms (0.9%)

sample0.0ms (0.0%)

series24.0ms (0.7%)

rewrite170.0ms (4.7%)

eval69.0ms (1.9%)

prune17.0ms (0.5%)

sample0.0ms (0.0%)

series48.0ms (1.3%)

rewrite181.0ms (5.0%)

eval171.0ms (4.7%)

prune43.0ms (1.2%)

sample0.0ms (0.0%)

series57.0ms (1.6%)

rewrite194.0ms (5.4%)

eval405.0ms (11.2%)

prune64.0ms (1.8%)

sample0.0ms (0.0%)

series75.0ms (2.1%)

rewrite264.0ms (7.3%)

eval239.0ms (6.6%)

prune60.0ms (1.7%)

regimes245.0ms (6.7%)

derivations54.0ms (1.5%)

preprocess172.0ms (4.7%)

end0.0ms (0.0%)

Profiling