Metrics for Given's Rotation SVD example, simplified

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 19 to 11 computations (42.1% saved)

sample1.7s (12.6%)

Memory

7.3MiB live, 1 002.0MiB allocated; 330ms collecting garbage

Samples

895.0ms	2 971×	2	valid
274.0ms	4 134×	0	valid
229.0ms	1 151×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-hypot: 517.0ms (46.8% of total)

adjust: 186.0ms (16.8% of total)

ival-sqrt: 148.0ms (13.4% of total)

ival-div!: 97.0ms (8.8% of total)

ival-mult!: 73.0ms (6.6% of total)

ival-sub!: 45.0ms (4.1% of total)

ival-add!: 38.0ms (3.4% of total)

Bogosity

preprocess89.0ms (0.6%)

Memory

-20.6MiB live, 26.8MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	30
1	105	30
2	286	30
3	1114	30

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Symmetry

(abs x)

Compiler

Compiled 24 to 18 computations (25% saved)

series230.0ms (1.7%)

Memory

30.3MiB live, 122.2MiB allocated; 14ms collecting garbage

Counts

9 → 64

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
x

Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 69/1024 binary64) (.f64 #s(literal -1843/32768 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 11/128 binary64))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 11/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/128 binary64) (*.f64 #s(literal -69/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 2 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))))))
#s(approx x x)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)
2.0ms	x	@	-inf	((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)
1.0ms	x	@	0	((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)

Time

Variable

Point

Expression

2.0ms

inf

((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)

2.0ms

-inf

((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)

1.0ms

((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)

rewrite896.0ms (6.5%)

Memory

-4.2MiB live, 282.1MiB allocated; 62ms collecting garbage

Counts

9 → 480

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
x

Outputs
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (neg.f64 #s(literal 1 binary64)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64))) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 #s(literal 1 binary64))) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 #s(literal 1 binary64))) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64))) #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 #s(literal 1 binary64))) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 #s(literal 1 binary64))) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(fabs.f64 #s(literal 1 binary64))
(fabs.f64 (neg.f64 #s(literal 1 binary64)))
(fabs.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 #s(literal 0 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) #s(literal 0 binary64)))) (pow.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 #s(literal 0 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fabs.f64 #s(literal 2 binary64)) (fabs.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
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(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64))) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 0 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
(sin.f64 (+.f64 (atan.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (atan.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (atan.f64 (fabs.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 #s(literal 1 binary64)))
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (asinh.f64 (neg.f64 x))) (exp.f64 (neg.f64 (asinh.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (asinh.f64 (fabs.f64 x))) (exp.f64 (neg.f64 (asinh.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(cosh.f64 (asinh.f64 x))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
(cosh.f64 (neg.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 (fabs.f64 x))))
(cosh.f64 (neg.f64 (asinh.f64 (neg.f64 x))))
(cosh.f64 (neg.f64 (asinh.f64 (fabs.f64 x))))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(hypot.f64 x #s(literal 1 binary64))
(hypot.f64 (neg.f64 #s(literal 1 binary64)) x)
(hypot.f64 (neg.f64 #s(literal 1 binary64)) (fabs.f64 x))
(hypot.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 x))
(hypot.f64 (fabs.f64 x) #s(literal 1 binary64))
(hypot.f64 (fabs.f64 x) (neg.f64 #s(literal 1 binary64)))
(hypot.f64 (neg.f64 x) #s(literal 1 binary64))
(hypot.f64 (neg.f64 x) (neg.f64 #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) (fabs.f64 x))
(hypot.f64 #s(literal 1 binary64) (neg.f64 x))
(hypot.f64 x (neg.f64 #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fabs.f64 x))))
(hypot.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (neg.f64 (fabs.f64 x))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
x
(neg.f64 (neg.f64 x))

eval66.0ms (0.5%)

Memory: -1.2MiB live, 90.0MiB allocated; 8ms collecting garbage
Compiler: Compiled 7 815 to 2 875 computations (63.2% saved)

prune43.0ms (0.3%)

Memory

25.6MiB live, 25.6MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	531	9	540
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	532	9	541

Accuracy

99.4%

Counts

541 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.5%	(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
▶	72.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
	45.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))))))
▶	44.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
	46.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	27.8%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
	55.9%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))))
▶	54.6%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
▶	55.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 296 to 280 computations (5.4% saved)

series242.0ms (1.8%)

Memory

-18.0MiB live, 82.4MiB allocated; 13ms collecting garbage

Counts

27 → 76

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/8 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -11/128 binary64)

Outputs
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 69/1024 binary64) (.f64 #s(literal -1843/32768 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 11/128 binary64))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(literal 1 binary64))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 11/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/128 binary64) (*.f64 #s(literal -69/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(literal 1/2 binary64))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))))))
#s(approx (+ (* x x) 1) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx x x)
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 2 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- 1 (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ 1/8 (* -11/128 (pow x 2))) #s(literal 1/8 binary64))
#s(approx (+ 1/8 (* -11/128 (pow x 2))) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* -11/128 (pow x 2)) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (-.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x))
#s(approx (sqrt (+ (* x x) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* x x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- 1 (/ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 11/128 binary64))))
#s(approx (+ 1/8 (* -11/128 (pow x 2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 11/128 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) x))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) 1)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (- 1 (/ 1 x)) (/ 1 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* 1/8 (pow x 2)) 1/8 (pow x 2) 2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) (+ 1/8 (* -11/128 (pow x 2))) (* -11/128 (pow x 2)) -11/128)
3.0ms	x	@	-inf	((- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (- 1 (/ 1 x)) (/ 1 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* 1/8 (pow x 2)) 1/8 (pow x 2) 2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) (+ 1/8 (* -11/128 (pow x 2))) (* -11/128 (pow x 2)) -11/128)
2.0ms	x	@	0	((- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (- 1 (/ 1 x)) (/ 1 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* 1/8 (pow x 2)) 1/8 (pow x 2) 2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) (+ 1/8 (* -11/128 (pow x 2))) (* -11/128 (pow x 2)) -11/128)

Time

Variable

Point

Expression

3.0ms

inf

((- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (- 1 (/ 1 x)) (/ 1 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* 1/8 (pow x 2)) 1/8 (pow x 2) 2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) (+ 1/8 (* -11/128 (pow x 2))) (* -11/128 (pow x 2)) -11/128)

3.0ms

-inf

((- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (- 1 (/ 1 x)) (/ 1 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* 1/8 (pow x 2)) 1/8 (pow x 2) 2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) (+ 1/8 (* -11/128 (pow x 2))) (* -11/128 (pow x 2)) -11/128)

2.0ms

((- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (- 1 (/ 1 x)) (/ 1 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* 1/8 (pow x 2)) 1/8 (pow x 2) 2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) (+ 1/8 (* -11/128 (pow x 2))) (* -11/128 (pow x 2)) -11/128)

rewrite1.1s (8.2%)

Memory

12.7MiB live, 1 208.2MiB allocated; 409ms collecting garbage

Counts

27 → 919

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/8 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -11/128 binary64)

Outputs
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
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(fma.f64 (.f64 (.f64 x x) (fabs.f64 x)) (.f64 (fabs.f64 x) #s(literal -11/128 binary64)) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal -11/128 binary64)) (.f64 (fabs.f64 x) (.f64 x x)) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 (.f64 x #s(literal -11/128 binary64))) (.f64 (neg.f64 x) (.f64 x x)) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 x (.f64 (.f64 x #s(literal -11/128 binary64)) (.f64 x x)) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 x #s(literal -11/128 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 #s(literal -11/128 binary64) (.f64 x x)) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (fabs.f64 x)) (fabs.f64 x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (.f64 x x)) #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(fma.f64 (neg.f64 (.f64 (.f64 x #s(literal -11/128 binary64)) (.f64 x x))) (neg.f64 x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 (.f64 x #s(literal -11/128 binary64)) (.f64 x x)) (neg.f64 #s(literal 1 binary64))) (neg.f64 x) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(fma.f64 (.f64 #s(literal 1/8 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (fabs.f64 x)) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (.f64 x x)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (.f64 x x))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 (.f64 (.f64 x #s(literal -11/128 binary64)) (.f64 x x))) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/8 binary64)) (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) (.f64 #s(literal -11/128 binary64) (.f64 x x))) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (.f64 (neg.f64 x) (.f64 x #s(literal 1/8 binary64))) (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (.f64 x x)))
(fma.f64 x (.f64 x #s(literal 1/8 binary64)) (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (.f64 x #s(literal 1/8 binary64)) x (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1/8 binary64)) (fabs.f64 x) (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/8 binary64)) (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (.f64 x x)))
(fma.f64 (.f64 (.f64 x #s(literal 1/8 binary64)) (neg.f64 #s(literal 1 binary64))) (neg.f64 x) (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (.f64 x x)))
(fma.f64 (neg.f64 (.f64 x #s(literal 1/8 binary64))) (neg.f64 x) (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1 binary64) (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 (.f64 x #s(literal 1/8 binary64))) (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (*.f64 x x)))
(neg.f64 (.f64 (.f64 x x) (neg.f64 (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)))))
(neg.f64 (.f64 (fma.f64 (.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)) (neg.f64 (*.f64 x x))))
(neg.f64 (.f64 (neg.f64 (fma.f64 (.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))) (*.f64 x x)))
(neg.f64 (.f64 (neg.f64 (.f64 x x)) (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))))
(neg.f64 (.f64 (.f64 (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)) (neg.f64 x)) x))
(neg.f64 (.f64 x (.f64 (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)) (neg.f64 x))))
(neg.f64 (-.f64 (neg.f64 (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (.f64 x x))) (.f64 #s(literal 1/8 binary64) (.f64 x x))))
(+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))
(+.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (neg.f64 (neg.f64 #s(literal 1/8 binary64))))
(-.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (neg.f64 #s(literal 1/8 binary64)))
(-.f64 #s(literal 1/8 binary64) (neg.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x))))
(fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64))
(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))
(fma.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) #s(literal 1 binary64) #s(literal 1/8 binary64))
(fma.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) #s(literal 1 binary64) (neg.f64 (neg.f64 #s(literal 1/8 binary64))))
(fma.f64 (.f64 (.f64 x #s(literal -11/128 binary64)) (neg.f64 #s(literal 1 binary64))) (neg.f64 x) #s(literal 1/8 binary64))
(fma.f64 (.f64 (.f64 x #s(literal -11/128 binary64)) (neg.f64 #s(literal 1 binary64))) (neg.f64 x) (neg.f64 (neg.f64 #s(literal 1/8 binary64))))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -11/128 binary64)) (fabs.f64 x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -11/128 binary64)) (fabs.f64 x) (neg.f64 (neg.f64 #s(literal 1/8 binary64))))
(fma.f64 (*.f64 (fabs.f64 x) (neg.f64 #s(literal -11/128 binary64))) (neg.f64 (fabs.f64 x)) #s(literal 1/8 binary64))
(fma.f64 (*.f64 (fabs.f64 x) (neg.f64 #s(literal -11/128 binary64))) (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 #s(literal 1/8 binary64))))
(fma.f64 (neg.f64 (*.f64 x #s(literal -11/128 binary64))) (neg.f64 x) #s(literal 1/8 binary64))
(fma.f64 (neg.f64 (*.f64 x #s(literal -11/128 binary64))) (neg.f64 x) (neg.f64 (neg.f64 #s(literal 1/8 binary64))))
(fma.f64 (neg.f64 (neg.f64 (*.f64 x #s(literal -11/128 binary64)))) x #s(literal 1/8 binary64))
(fma.f64 (neg.f64 (neg.f64 (*.f64 x #s(literal -11/128 binary64)))) x (neg.f64 (neg.f64 #s(literal 1/8 binary64))))
(fma.f64 (neg.f64 (*.f64 x x)) (neg.f64 #s(literal -11/128 binary64)) #s(literal 1/8 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) (neg.f64 #s(literal -11/128 binary64)) (neg.f64 (neg.f64 #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -11/128 binary64) (.f64 x x)) (neg.f64 (neg.f64 #s(literal 1/8 binary64))))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -11/128 binary64)) (neg.f64 (neg.f64 #s(literal 1/8 binary64))))
(fma.f64 (neg.f64 #s(literal -11/128 binary64)) (neg.f64 (*.f64 x x)) #s(literal 1/8 binary64))
(fma.f64 (neg.f64 #s(literal -11/128 binary64)) (neg.f64 (*.f64 x x)) (neg.f64 (neg.f64 #s(literal 1/8 binary64))))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x))) #s(literal 1/8 binary64))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x))) (neg.f64 (neg.f64 #s(literal 1/8 binary64))))
(fma.f64 (neg.f64 x) (neg.f64 (*.f64 x #s(literal -11/128 binary64))) #s(literal 1/8 binary64))
(fma.f64 (neg.f64 x) (neg.f64 (*.f64 x #s(literal -11/128 binary64))) (neg.f64 (neg.f64 #s(literal 1/8 binary64))))
(fma.f64 (*.f64 x x) #s(literal -11/128 binary64) (neg.f64 (neg.f64 #s(literal 1/8 binary64))))
(fma.f64 (*.f64 x #s(literal -11/128 binary64)) x (neg.f64 (neg.f64 #s(literal 1/8 binary64))))
(fma.f64 x (*.f64 x #s(literal -11/128 binary64)) (neg.f64 (neg.f64 #s(literal 1/8 binary64))))
(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) (neg.f64 (neg.f64 #s(literal 1/8 binary64))))
(fma.f64 (*.f64 #s(literal -11/128 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) #s(literal 1/8 binary64))
(fma.f64 (*.f64 #s(literal -11/128 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 #s(literal 1/8 binary64))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x #s(literal -11/128 binary64))))) (neg.f64 x) #s(literal 1/8 binary64))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x #s(literal -11/128 binary64))))) (neg.f64 x) (neg.f64 (neg.f64 #s(literal 1/8 binary64))))
(fma.f64 (neg.f64 (*.f64 (fabs.f64 x) (neg.f64 #s(literal -11/128 binary64)))) (fabs.f64 x) #s(literal 1/8 binary64))
(fma.f64 (neg.f64 (*.f64 (fabs.f64 x) (neg.f64 #s(literal -11/128 binary64)))) (fabs.f64 x) (neg.f64 (neg.f64 #s(literal 1/8 binary64))))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -11/128 binary64)) (neg.f64 (neg.f64 #s(literal 1/8 binary64))))
(neg.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))))
(neg.f64 (-.f64 (neg.f64 #s(literal 1/8 binary64)) (.f64 #s(literal -11/128 binary64) (.f64 x x))))
(.f64 #s(literal -11/128 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -11/128 binary64)) x)
(.f64 (.f64 x x) #s(literal -11/128 binary64))
(.f64 x (.f64 x #s(literal -11/128 binary64)))
(.f64 (.f64 #s(literal -11/128 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 (*.f64 x #s(literal -11/128 binary64)) (neg.f64 #s(literal 1 binary64))) (neg.f64 x))
(.f64 (.f64 (fabs.f64 x) #s(literal -11/128 binary64)) (fabs.f64 x))
(.f64 (.f64 (fabs.f64 x) (neg.f64 #s(literal -11/128 binary64))) (neg.f64 (fabs.f64 x)))
(.f64 (neg.f64 (.f64 x #s(literal -11/128 binary64))) (neg.f64 x))
(.f64 (neg.f64 (neg.f64 (.f64 x #s(literal -11/128 binary64)))) x)
(.f64 (neg.f64 (.f64 x x)) (neg.f64 #s(literal -11/128 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -11/128 binary64) (*.f64 x x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal -11/128 binary64)))
(.f64 (neg.f64 #s(literal -11/128 binary64)) (neg.f64 (.f64 x x)))
(.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (.f64 #s(literal -11/128 binary64) (*.f64 x x))))
(.f64 (neg.f64 x) (neg.f64 (.f64 x #s(literal -11/128 binary64))))
(.f64 (.f64 #s(literal -11/128 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 x #s(literal -11/128 binary64))))) (neg.f64 x))
(.f64 (neg.f64 (.f64 (fabs.f64 x) (neg.f64 #s(literal -11/128 binary64)))) (fabs.f64 x))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal -11/128 binary64)))
(neg.f64 (neg.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x))))
#s(literal -11/128 binary64)
(neg.f64 (neg.f64 #s(literal -11/128 binary64)))

eval233.0ms (1.7%)

Memory: 9.9MiB live, 240.7MiB allocated; 50ms collecting garbage
Compiler: Compiled 15 538 to 6 486 computations (58.3% saved)

prune42.0ms (0.3%)

Memory

-0.3MiB live, 50.9MiB allocated; 17ms collecting garbage

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	1 393	7	1 400
Fresh	3	1	4
Picked	3	2	5
Done	0	0	0
Total	1 399	10	1 409

Accuracy

99.5%

Counts

1 409 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.8%	(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
✓	72.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
	45.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
▶	44.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
▶	46.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
✓	27.8%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
▶	55.9%	#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))))
	54.6%	#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))))
▶	54.6%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)) x) x))
	55.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x #s(literal 1/8 binary64)) x))

Compiler

Compiled 281 to 277 computations (1.4% saved)

series357.0ms (2.6%)

Memory

-28.1MiB live, 165.4MiB allocated; 113ms collecting garbage

Counts

37 → 93

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64)))))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))
#s(literal 1/8 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64)))
(-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))
(*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 69/1024 binary64)
#s(literal 11/128 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)))
(+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)) x) x))
(.f64 (.f64 (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)) x) x)
(.f64 (fma.f64 (.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)) x)
(fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))
(*.f64 x #s(literal -11/128 binary64))
#s(literal -11/128 binary64)
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))

Outputs
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 69/1024 binary64) (.f64 #s(literal -1843/32768 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 11/128 binary64))))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))) #s(literal 1/8 binary64))
#s(approx (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64)))))
#s(approx (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))
#s(approx (- (* 69/1024 (pow x 2)) 11/128) #s(literal -11/128 binary64))
#s(approx (- (* 69/1024 (pow x 2)) 11/128) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64)))
#s(approx (* 69/1024 (pow x 2)) (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 11/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/128 binary64) (*.f64 #s(literal -69/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(literal 1/2 binary64))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (/ -1/2 x) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (* (+ (* (* x -11/128) x) 1/8) x) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (* (+ (* (* x -11/128) x) 1/8) x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* x -11/128) (*.f64 #s(literal -11/128 binary64) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(literal -1 binary64))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))))))
#s(approx (+ (* x x) 1) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 69/1024 binary64) (.f64 #s(literal 11/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 #s(literal 69/1024 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 11/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))) (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 69/1024 binary64) (.f64 #s(literal 11/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 69/1024 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 11/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (* 69/1024 (pow x 2)) 11/128) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 69/1024 binary64) (.f64 #s(literal 11/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x))
#s(approx (* (* (+ (* (* x -11/128) x) 1/8) x) x) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (+ (* (* x -11/128) x) 1/8) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 11/128 binary64))))
#s(approx (* (+ (* (* x -11/128) x) 1/8) x) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (* x -11/128) x) 1/8) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 11/128 binary64))))
#s(approx (+ (* (* x -11/128) x) 1/8) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 11/128 binary64))))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* x x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)))
#s(approx (* (+ (* (* x -11/128) x) 1/8) x) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 11/128 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) 1)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) (pow x 2) x 2 (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))) 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)) (- (* 69/1024 (pow x 2)) 11/128) (* 69/1024 (pow x 2)) 69/1024 11/128 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (* (+ (* (* x -11/128) x) 1/8) x) x) (* (+ (* (* x -11/128) x) 1/8) x) (+ (* (* x -11/128) x) 1/8) (* x -11/128) -11/128 (+ (* x (/ 1 x)) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)))) (/ 1 x) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1))
4.0ms	x	@	-inf	((- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) (pow x 2) x 2 (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))) 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)) (- (* 69/1024 (pow x 2)) 11/128) (* 69/1024 (pow x 2)) 69/1024 11/128 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (* (+ (* (* x -11/128) x) 1/8) x) x) (* (+ (* (* x -11/128) x) 1/8) x) (+ (* (* x -11/128) x) 1/8) (* x -11/128) -11/128 (+ (* x (/ 1 x)) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)))) (/ 1 x) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1))
3.0ms	x	@	inf	((- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) (pow x 2) x 2 (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))) 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)) (- (* 69/1024 (pow x 2)) 11/128) (* 69/1024 (pow x 2)) 69/1024 11/128 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (* (+ (* (* x -11/128) x) 1/8) x) x) (* (+ (* (* x -11/128) x) 1/8) x) (+ (* (* x -11/128) x) 1/8) (* x -11/128) -11/128 (+ (* x (/ 1 x)) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)))) (/ 1 x) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1))

Time

Variable

Point

Expression

4.0ms

((- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) (pow x 2) x 2 (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))) 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)) (- (* 69/1024 (pow x 2)) 11/128) (* 69/1024 (pow x 2)) 69/1024 11/128 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (* (+ (* (* x -11/128) x) 1/8) x) x) (* (+ (* (* x -11/128) x) 1/8) x) (+ (* (* x -11/128) x) 1/8) (* x -11/128) -11/128 (+ (* x (/ 1 x)) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)))) (/ 1 x) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1))

4.0ms

-inf

((- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) (pow x 2) x 2 (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))) 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)) (- (* 69/1024 (pow x 2)) 11/128) (* 69/1024 (pow x 2)) 69/1024 11/128 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (* (+ (* (* x -11/128) x) 1/8) x) x) (* (+ (* (* x -11/128) x) 1/8) x) (+ (* (* x -11/128) x) 1/8) (* x -11/128) -11/128 (+ (* x (/ 1 x)) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)))) (/ 1 x) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1))

3.0ms

inf

((- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) (pow x 2) x 2 (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))) 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)) (- (* 69/1024 (pow x 2)) 11/128) (* 69/1024 (pow x 2)) 69/1024 11/128 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (* (+ (* (* x -11/128) x) 1/8) x) x) (* (+ (* (* x -11/128) x) 1/8) x) (+ (* (* x -11/128) x) 1/8) (* x -11/128) -11/128 (+ (* x (/ 1 x)) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)))) (/ 1 x) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1))

rewrite3.0s (21.5%)

Memory

-58.1MiB live, 1 417.9MiB allocated; 1.7s collecting garbage

Counts

37 → 2 674

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64)))))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))
#s(literal 1/8 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64)))
(-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))
(*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 69/1024 binary64)
#s(literal 11/128 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)))
(+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)) x) x))
(.f64 (.f64 (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)) x) x)
(.f64 (fma.f64 (.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)) x)
(fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))
(*.f64 x #s(literal -11/128 binary64))
#s(literal -11/128 binary64)
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))

Outputs
#s(approx (- 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))) (.f64 (.f64 x x) (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))))
(.f64 (.f64 x x) (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (.f64 x x) (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))) #s(literal 1 binary64))
(.f64 (fabs.f64 x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (fabs.f64 x)))
(.f64 x (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x))
(.f64 (neg.f64 x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (neg.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) (neg.f64 x)) (neg.f64 #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))))
(.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x)))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64))) (.f64 (.f64 x #s(literal 1/8 binary64)) x))
(+.f64 (.f64 (.f64 x #s(literal 1/8 binary64)) x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64))))
(-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64))) (neg.f64 (.f64 (.f64 x #s(literal 1/8 binary64)) x)))
(-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64))) (.f64 (neg.f64 #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64))) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/8 binary64)))
(-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64))) (.f64 (neg.f64 x) (.f64 x #s(literal 1/8 binary64))))
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(hypot.f64 (neg.f64 #s(literal 1 binary64)) (fabs.f64 x))
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(hypot.f64 #s(literal 1 binary64) (fabs.f64 x))
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eval744.0ms (5.4%)

Memory: 12.6MiB live, 539.5MiB allocated; 195ms collecting garbage
Compiler: Compiled 52 847 to 18 795 computations (64.4% saved)

prune77.0ms (0.6%)

Memory

-30.7MiB live, 109.2MiB allocated; 9ms collecting garbage

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	3 942	12	3 954
Fresh	0	3	3
Picked	1	4	5
Done	0	2	2
Total	3 943	21	3 964

Accuracy

99.8%

Counts

3 964 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.1%	(fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) x))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) x)) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) x)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
	24.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
	14.0%	(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
▶	47.7%	(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
	24.2%	(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
	47.9%	(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
	24.5%	(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
✓	47.8%	(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
	46.6%	(fma.f64 x (/.f64 #s(literal 1 binary64) x) #s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
▶	72.2%	(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x) x) (neg.f64 x))
✓	72.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
	45.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
✓	44.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
✓	46.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
✓	27.8%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
▶	25.9%	(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x) (*.f64 x x)) x)
	72.2%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x) (/.f64 #s(literal 1 binary64) x))
	55.9%	#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
▶	54.6%	#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))))
✓	54.6%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)) x) x))
▶	55.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x #s(literal 1/8 binary64)) x))

Compiler

Compiled 573 to 515 computations (10.1% saved)

series404.0ms (2.9%)

Memory

1.9MiB live, 142.6MiB allocated; 24ms collecting garbage

Counts

32 → 130

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x) x) (neg.f64 x))
(-.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x) x)
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x)
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(neg.f64 x)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x #s(literal 1/8 binary64)) x))
(.f64 (.f64 x #s(literal 1/8 binary64)) x)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)))
(*.f64 x x)
(fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))
(*.f64 x #s(literal -11/128 binary64))
#s(literal -11/128 binary64)
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x) (*.f64 x x)) x)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x) (.f64 x x))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(neg.f64 #s(literal 1 binary64))
(neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))

Outputs
#s(approx (/ (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (neg x)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (neg x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (neg x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))))
#s(approx (/ (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (neg x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 69/1024 binary64) (.f64 #s(literal -1843/32768 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 11/128 binary64))))))
#s(approx (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 11/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))))
#s(approx (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/128 binary64) (*.f64 #s(literal -69/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64))))
#s(approx (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/128 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1843/32768 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 69/1024 binary64))))) #s(literal 1/8 binary64))))
#s(approx (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x)
#s(approx (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 11/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))))))
#s(approx (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/128 binary64) (.f64 #s(literal -69/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(literal 1 binary64))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 11/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/128 binary64) (*.f64 #s(literal -69/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(literal 1/2 binary64))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))))))
#s(approx (+ (* x x) 1) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (* x 1/8) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* (* x -11/128) x) 1/8) #s(literal 1/8 binary64))
#s(approx (+ (* (* x -11/128) x) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x -11/128) (*.f64 #s(literal -11/128 binary64) x))
#s(approx (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))))
#s(approx (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 69/1024 binary64) (.f64 #s(literal -1843/32768 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 11/128 binary64))))))
#s(approx (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))))
#s(approx (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 69/1024 binary64) (.f64 #s(literal -1843/32768 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 11/128 binary64))))))
#s(approx (neg (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(literal -1 binary64))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (neg x)) (*.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (neg x)) (-.f64 (.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (/ (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (neg x)) (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (/ (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (neg x)) (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (*.f64 x (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) #s(literal 1 binary64))))
#s(approx (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))))
#s(approx (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))))
#s(approx (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))
#s(approx (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (-.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x))
#s(approx (sqrt (+ (* x x) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* x x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (* (* x x) (+ (* (* x -11/128) x) 1/8)) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* x x) (+ (* (* x -11/128) x) 1/8)) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 11/128 binary64))))
#s(approx (+ (* (* x -11/128) x) 1/8) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* x -11/128) x) 1/8) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 11/128 binary64))))
#s(approx (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x))
#s(approx (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))) x))
#s(approx (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) x))
#s(approx (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) x))
#s(approx (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (*.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (.f64 x (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))))
#s(approx (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (/ (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (neg x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (/ (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (neg x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (/ (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (neg x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)))))
#s(approx (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))))
#s(approx (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))))
#s(approx (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)))))))
#s(approx (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))))
#s(approx (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))))
#s(approx (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) x))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)))
#s(approx (sqrt (+ (* x x) 1)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) x)))
#s(approx (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) x))) x)))
#s(approx (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))) x)))
#s(approx (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))))
#s(approx (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) x))))))
#s(approx (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))))))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)) (sqrt.f64 #s(literal 1/2 binary64))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((/ (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (neg x)) (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1 (neg x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (* x 1/8) x) (* x 1/8) 1/8 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* x x) (+ (* (* x -11/128) x) 1/8)) (* x x) (+ (* (* x -11/128) x) 1/8) (* x -11/128) -11/128 (* (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) x) (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (+ (* (neg (/ 1 x)) (/ (neg 1) (/ 1 x))) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)))) (neg (/ 1 x)) (/ 1 x) (/ (neg 1) (/ 1 x)) (neg 1) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))))
5.0ms	x	@	inf	((/ (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (neg x)) (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1 (neg x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (* x 1/8) x) (* x 1/8) 1/8 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* x x) (+ (* (* x -11/128) x) 1/8)) (* x x) (+ (* (* x -11/128) x) 1/8) (* x -11/128) -11/128 (* (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) x) (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (+ (* (neg (/ 1 x)) (/ (neg 1) (/ 1 x))) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)))) (neg (/ 1 x)) (/ 1 x) (/ (neg 1) (/ 1 x)) (neg 1) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))))
4.0ms	x	@	0	((/ (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (neg x)) (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1 (neg x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (* x 1/8) x) (* x 1/8) 1/8 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* x x) (+ (* (* x -11/128) x) 1/8)) (* x x) (+ (* (* x -11/128) x) 1/8) (* x -11/128) -11/128 (* (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) x) (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (+ (* (neg (/ 1 x)) (/ (neg 1) (/ 1 x))) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)))) (neg (/ 1 x)) (/ 1 x) (/ (neg 1) (/ 1 x)) (neg 1) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))))

Time

Variable

Point

Expression

6.0ms

-inf

((/ (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (neg x)) (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1 (neg x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (* x 1/8) x) (* x 1/8) 1/8 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* x x) (+ (* (* x -11/128) x) 1/8)) (* x x) (+ (* (* x -11/128) x) 1/8) (* x -11/128) -11/128 (* (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) x) (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (+ (* (neg (/ 1 x)) (/ (neg 1) (/ 1 x))) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)))) (neg (/ 1 x)) (/ 1 x) (/ (neg 1) (/ 1 x)) (neg 1) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))))

5.0ms

inf

((/ (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (neg x)) (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1 (neg x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (* x 1/8) x) (* x 1/8) 1/8 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* x x) (+ (* (* x -11/128) x) 1/8)) (* x x) (+ (* (* x -11/128) x) 1/8) (* x -11/128) -11/128 (* (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) x) (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (+ (* (neg (/ 1 x)) (/ (neg 1) (/ 1 x))) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)))) (neg (/ 1 x)) (/ 1 x) (/ (neg 1) (/ 1 x)) (neg 1) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))))

4.0ms

((/ (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (neg x)) (- (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) x) (* (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) x) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1 (neg x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (* x 1/8) x) (* x 1/8) 1/8 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* x x) (+ (* (* x -11/128) x) 1/8)) (* x x) (+ (* (* x -11/128) x) 1/8) (* x -11/128) -11/128 (* (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) x) (/ (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (* x x)) (* (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) x) (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (+ (* (neg (/ 1 x)) (/ (neg 1) (/ 1 x))) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)))) (neg (/ 1 x)) (/ 1 x) (/ (neg 1) (/ 1 x)) (neg 1) (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))))

rewrite2.8s (20.3%)

Memory

24.4MiB live, 1 408.7MiB allocated; 372ms collecting garbage

Counts

32 → 3 513

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x) x) (neg.f64 x))
(-.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x) x)
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x)
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(neg.f64 x)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x #s(literal 1/8 binary64)) x))
(.f64 (.f64 x #s(literal 1/8 binary64)) x)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)))
(*.f64 x x)
(fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))
(*.f64 x #s(literal -11/128 binary64))
#s(literal -11/128 binary64)
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x) (*.f64 x x)) x)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x) (.f64 x x))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(neg.f64 #s(literal 1 binary64))
(neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))

Outputs
(*.f64 (-.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x) (neg.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x) x)
(.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (.f64 x x)))
(*.f64 (neg.f64 x) (/.f64 (-.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x)))
(.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (fabs.f64 x)) (/.f64 (.f64 x x) (fabs.f64 x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (fabs.f64 x)) (.f64 (copysign.f64 #s(literal 1 binary64) x) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (.f64 x x)) (*.f64 x x))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (.f64 (-.f64 x (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x)) (copysign.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (copysign.f64 #s(literal 1 binary64) x)) (*.f64 (copysign.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (copysign.f64 #s(literal 1 binary64) x)) (copysign.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (.f64 x x)) (neg.f64 #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (neg.f64 (fabs.f64 x))) (/.f64 (.f64 x x) (neg.f64 (fabs.f64 x))))
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x) (neg.f64 x)) (neg.f64 (.f64 x x)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x) (copysign.f64 #s(literal 1 binary64) x)) (fabs.f64 x))
(.f64 (/.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x)) (neg.f64 (fabs.f64 x))) (/.f64 x (neg.f64 (fabs.f64 x))))
(.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x) x) (fabs.f64 x)) (/.f64 x (neg.f64 (fabs.f64 x))))
(.f64 (.f64 x (copysign.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (fabs.f64 x)))
(.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (*.f64 x x)))
(.f64 (copysign.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (copysign.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (/.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x)) (neg.f64 (fabs.f64 x))))
(.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x) x) (fabs.f64 x)))
(.f64 (copysign.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (fabs.f64 x)) x))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 0 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 #s(literal 1 binary64))) (neg.f64 #s(literal 1 binary64)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (neg.f64 #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (.f64 x x))) (*.f64 x x)) (neg.f64 #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x) x) (neg.f64 x))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 x (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 x x)) (neg.f64 (*.f64 x x)))
(/.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 x x)) (.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x)) (copysign.f64 #s(literal 1 binary64) x)) (fabs.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (.f64 x x)) x) (.f64 (*.f64 x x) x))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (.f64 x x)) (neg.f64 #s(literal 1 binary64))) (neg.f64 (.f64 x x)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (.f64 x x)) (neg.f64 x)) (.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (.f64 x x)) #s(literal 2 binary64)) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x) (neg.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x)) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x) x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (.f64 x x)) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 x)) #s(literal 1 binary64) x) x)
(/.f64 (fma.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 x)) (neg.f64 x) (neg.f64 (.f64 x x))) (neg.f64 (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 x)) (neg.f64 #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(literal 1 binary64))) (neg.f64 #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 x)) #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x) (neg.f64 #s(literal 1 binary64)) x) x)
(/.f64 (fma.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 x))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
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(fma.f64 (neg.f64 #s(literal 1 binary64)) x (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 x (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 x x) (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x) (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))))
(neg.f64 x)
(pow.f64 (neg.f64 x) (neg.f64 #s(literal -1 binary64)))
(pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x))
(*.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64)))
(.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (*.f64 x x)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) x)
(.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x))
(*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 x x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (copysign.f64 #s(literal 1 binary64) x)) (fabs.f64 x))
(+.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 0 binary64)))
(+.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(+.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(+.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 x) x)
(/.f64 #s(literal 2 binary64) (neg.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64)))
(/.f64 x (neg.f64 x))
(/.f64 (neg.f64 (.f64 x x)) (.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (copysign.f64 #s(literal 1 binary64) x) (neg.f64 x)) (fabs.f64 x))
(/.f64 (.f64 (copysign.f64 #s(literal 1 binary64) x) (neg.f64 #s(literal 1 binary64))) (.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (neg.f64 #s(literal 1 binary64)) (copysign.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)))
(/.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 x) (copysign.f64 #s(literal 1 binary64) x)) (fabs.f64 x))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 x #s(literal 2 binary64)) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (.f64 x x) (neg.f64 (.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (copysign.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 x)))
(/.f64 (.f64 (copysign.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (copysign.f64 #s(literal 1 binary64) x) (*.f64 (fabs.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 x x) (.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(copysign.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x) (neg.f64 #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 1 binary64) (neg.f64 #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x) (neg.f64 #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 0 binary64)))
(fma.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 #s(literal 0 binary64)))
(fma.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (.f64 x x)) (/.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (.f64 x x)) (neg.f64 #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (.f64 x x)) (*.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (.f64 x x)) (*.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) x (/.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) x (neg.f64 #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) x (*.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) x (*.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x) (/.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x) (neg.f64 #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x) (*.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64) (neg.f64 #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(literal 0 binary64)))
(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 x x) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 #s(literal 0 binary64)))
(fma.f64 (.f64 x x) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64)) (*.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x) (/.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x) (*.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (copysign.f64 #s(literal 1 binary64) x)) (fabs.f64 x) (/.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (copysign.f64 #s(literal 1 binary64) x)) (fabs.f64 x) (neg.f64 #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (copysign.f64 #s(literal 1 binary64) x)) (fabs.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (copysign.f64 #s(literal 1 binary64) x)) (fabs.f64 x) (*.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 0 binary64)))
(neg.f64 #s(literal 1 binary64))
(pow.f64 (neg.f64 #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 3 binary64))
(neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))

eval1.0s (7.3%)

Memory: 30.3MiB live, 593.7MiB allocated; 254ms collecting garbage
Compiler: Compiled 67 506 to 18 830 computations (72.1% saved)

prune168.0ms (1.2%)

Memory

-23.6MiB live, 119.6MiB allocated; 37ms collecting garbage

Pruning

30 alts after pruning (22 fresh and 8 done)

	Pruned	Kept	Total
New	4 453	16	4 469
Fresh	4	6	10
Picked	3	2	5
Done	0	6	6
Total	4 460	30	4 490

Accuracy

99.9%

Counts

4 490 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.8%	(fma.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 x)) x #s(literal 1 binary64))
	24.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
	47.8%	(fma.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
	46.6%	(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))
	47.9%	(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
✓	47.8%	(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
	46.6%	(fma.f64 x (/.f64 #s(literal 1 binary64) x) #s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
	72.2%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
	25.2%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	72.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x) (/.f64 #s(literal 1 binary64) x))
	50.2%	(/.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 x x)) x) (neg.f64 x))
	69.6%	(/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) x) (neg.f64 x))
	46.5%	(/.f64 (-.f64 (.f64 #s(approx (sqrt (+ (/ 1/2 (sqrt (+ ( x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))) x) x) (neg.f64 x))
✓	72.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
	45.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
✓	44.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
✓	46.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
✓	27.8%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
	24.9%	(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 x))) x)
	24.1%	(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) x) (*.f64 x x)) x)
	72.1%	(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x)) x)
	72.2%	(.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x)) (/.f64 #s(literal 1 binary64) x))
	26.0%	(.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (*.f64 x x)) x) x)
	72.2%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) x)) x)
	72.2%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x) (/.f64 #s(literal 1 binary64) x))
	55.9%	#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
	54.2%	#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))))
✓	54.6%	#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))))
✓	54.6%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)) x) x))
✓	55.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x #s(literal 1/8 binary64)) x))

Compiler

Compiled 917 to 619 computations (32.5% saved)

regimes70.0ms (0.5%)

Memory

39.7MiB live, 39.7MiB allocated; 0ms collecting garbage

Counts

45 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x #s(literal 1/8 binary64)) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(approx (sqrt (+ (/ 1/2 (sqrt (+ ( x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))) x) x) (neg.f64 x))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) #s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) x) (*.f64 x x)) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 x)) x #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x) x) (neg.f64 x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) x)) x)
(.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) x) (neg.f64 x))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (*.f64 x x)) x) x)
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x) (*.f64 x x)) x)
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 x x)) x) (neg.f64 x))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 x))) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) x))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) x)) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) x)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))

Outputs
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))

Outputs

#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))

Calls

7 calls:

12.0ms	x
11.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
9.0ms	(hypot.f64 #s(literal 1 binary64) x)
9.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
9.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
99.5%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.5%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.5%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.5%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.5%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.5%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes75.0ms (0.5%)

Memory

-10.0MiB live, 35.4MiB allocated; 2ms collecting garbage

Counts

31 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x #s(literal 1/8 binary64)) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(approx (sqrt (+ (/ 1/2 (sqrt (+ ( x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))) x) x) (neg.f64 x))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) #s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) x) (*.f64 x x)) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 x)) x #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x) x) (neg.f64 x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) x)) x)
(.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) x) (neg.f64 x))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (*.f64 x x)) x) x)
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) x) (*.f64 x x)) x)

Outputs
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

Outputs

(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))

#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

Calls

7 calls:

25.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
10.0ms	x
9.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
8.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
7.0ms	(hypot.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
99.4%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.4%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.4%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.4%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.4%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.4%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.4%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes40.0ms (0.3%)

Memory

-29.9MiB live, 21.5MiB allocated; 6ms collecting garbage

Counts

18 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x #s(literal 1/8 binary64)) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(approx (sqrt (+ (/ 1/2 (sqrt (+ ( x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))) x) x) (neg.f64 x))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) #s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) x) (*.f64 x x)) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 x)) x #s(literal 1 binary64))

Outputs
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 x)) x #s(literal 1 binary64))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

Outputs

(fma.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 x)) x #s(literal 1 binary64))

#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

Calls

7 calls:

9.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
6.0ms	x
6.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
4.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
4.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
99.3%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.3%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.3%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.3%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.3%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.3%	2	`x`
99.3%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes29.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Counts

17 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x #s(literal 1/8 binary64)) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(approx (sqrt (+ (/ 1/2 (sqrt (+ ( x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))) x) x) (neg.f64 x))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) #s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) x) (*.f64 x x)) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

Outputs
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))

Outputs

#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))

Calls

7 calls:

5.0ms	x
5.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
4.0ms	(hypot.f64 #s(literal 1 binary64) x)
4.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
4.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
99.3%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.3%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.3%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.3%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.3%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.3%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.3%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes30.0ms (0.2%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Counts

16 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x #s(literal 1/8 binary64)) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(approx (sqrt (+ (/ 1/2 (sqrt (+ ( x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))) x) x) (neg.f64 x))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) #s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) x) (*.f64 x x)) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))))

Outputs

#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)) x) x))

(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))

Calls

7 calls:

5.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
5.0ms	x
4.0ms	(hypot.f64 #s(literal 1 binary64) x)
4.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
4.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
99.2%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.2%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.2%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.2%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.2%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.2%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.2%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes25.0ms (0.2%)

Memory

-31.0MiB live, 16.3MiB allocated; 1ms collecting garbage

Counts

12 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x #s(literal 1/8 binary64)) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(approx (sqrt (+ (/ 1/2 (sqrt (+ ( x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))) x) x) (neg.f64 x))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) #s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) x) (*.f64 x x)) x)

Outputs

#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal -11/128 binary64)) x #s(literal 1/8 binary64)) x) x))

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

Calls

7 calls:

4.0ms	x
4.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
3.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
3.0ms	(hypot.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
98.7%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.7%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.7%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.7%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.7%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.7%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes18.0ms (0.1%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x #s(literal 1/8 binary64)) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(approx (sqrt (+ (/ 1/2 (sqrt (+ ( x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))) x) x) (neg.f64 x))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) #s(approx (neg (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))))))

Outputs

#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (*.f64 x #s(literal 1/8 binary64)) x))

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

Calls

7 calls:

3.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms	(hypot.f64 #s(literal 1 binary64) x)
2.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
2.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
98.3%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.3%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.3%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.3%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.3%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.3%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.3%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes13.0ms (0.1%)

Memory

-21.4MiB live, 23.5MiB allocated; 2ms collecting garbage

Counts

4 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x #s(literal 1/8 binary64)) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))

Outputs

#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (*.f64 x #s(literal 1/8 binary64)) x))

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

Calls

7 calls:

3.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
2.0ms	x
2.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms	(hypot.f64 #s(literal 1 binary64) x)
1.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
97.9%	2	`(hypot.f64 #s(literal 1 binary64) x)`
97.9%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
97.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
97.9%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
97.9%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
97.9%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
97.9%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes8.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

7 calls:

1.0ms	x
1.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms	(hypot.f64 #s(literal 1 binary64) x)
1.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
1.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
70.6%	2	`(hypot.f64 #s(literal 1 binary64) x)`
70.6%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
70.6%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
70.6%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
70.6%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
70.6%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
70.9%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes7.0ms (0%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))

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

Calls

7 calls:

1.0ms	x
1.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
1.0ms	(hypot.f64 #s(literal 1 binary64) x)
1.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
27.8%	1	`(hypot.f64 #s(literal 1 binary64) x)`
27.8%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
27.8%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
27.8%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
27.8%	1	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
27.8%	1	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
27.8%	1	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch16.0ms (0.1%)

Memory

-23.1MiB live, 24.1MiB allocated; 1ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0009316641936617251	7.824825990472866

Samples

7.0ms	112×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 284 to 285 computations (-0.4% saved)

Precisions

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

ival-hypot: 3.0ms (44.1% of total)

ival-div!: 1.0ms (14.7% of total)

ival-sqrt: 1.0ms (14.7% of total)

ival-mult!: 1.0ms (14.7% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.12676735276639875	0.9999995660011977

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.12676735276639875	0.9999995660011977

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch6.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.0009316641936617251	7.824825990472866

Samples

3.0ms

48×

valid

Compiler

Compiled 260 to 261 computations (-0.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-hypot: 1.0ms (55.5% of total)

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

adjust: 0.0ms (0% of total)

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

ival-sqrt: 0.0ms (0% of total)

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

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

bsearch54.0ms (0.4%)

Memory

-74.6MiB live, 27.4MiB allocated; 83ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
52.0ms	0.0009316641936617251	7.824825990472866

Samples

48.0ms

96×

valid

Compiler

Compiled 244 to 253 computations (-3.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-sub!: 38.0ms (82.7% of total)

ival-hypot: 3.0ms (6.5% of total)

adjust: 2.0ms (4.4% of total)

ival-div!: 1.0ms (2.2% of total)

ival-sqrt: 1.0ms (2.2% of total)

ival-mult!: 1.0ms (2.2% of total)

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

bsearch13.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.0009316641936617251	7.824825990472866

Samples

7.0ms

112×

valid

Compiler

Compiled 284 to 293 computations (-3.2% saved)

Precisions

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

ival-hypot: 2.0ms (46.1% of total)

ival-sqrt: 1.0ms (23.1% of total)

ival-div!: 1.0ms (23.1% of total)

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

adjust: 0.0ms (0% of total)

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

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

bsearch3.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.0009316641936617251	7.824825990472866

Samples

1.0ms

16×

valid

Compiler

Compiled 260 to 269 computations (-3.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

adjust: 0.0ms (0% of total)

ival-hypot: 0.0ms (0% of total)

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

ival-sqrt: 0.0ms (0% of total)

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

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

bsearch7.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.0009316641936617251	7.824825990472866

Samples

4.0ms

64×

valid

Compiler

Compiled 268 to 277 computations (-3.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-hypot: 1.0ms (41.1% of total)

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

adjust: 0.0ms (0% of total)

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

ival-sqrt: 0.0ms (0% of total)

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

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

bsearch25.0ms (0.2%)

Memory

-8.5MiB live, 33.0MiB allocated; 14ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.002100081577651e-77	2.410231283659229e-77

Samples

20.0ms

80×

valid

Compiler

Compiled 165 to 168 computations (-1.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-hypot: 13.0ms (73.4% of total)

adjust: 1.0ms (5.6% of total)

ival-div!: 1.0ms (5.6% of total)

ival-sqrt: 1.0ms (5.6% of total)

ival-mult!: 1.0ms (5.6% of total)

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

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

derivations3.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 140 to 92 computations (34.3% saved)

preprocess105.0ms (0.8%)

Memory: 8.5MiB live, 280.9MiB allocated; 61ms collecting garbage
Remove: (abs x)
Compiler: Compiled 770 to 671 computations (12.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (12.6%)

preprocess89.0ms (0.6%)

series230.0ms (1.7%)

rewrite896.0ms (6.5%)

eval66.0ms (0.5%)

prune43.0ms (0.3%)

series242.0ms (1.8%)

rewrite1.1s (8.2%)

eval233.0ms (1.7%)

prune42.0ms (0.3%)

series357.0ms (2.6%)

rewrite3.0s (21.5%)

eval744.0ms (5.4%)

prune77.0ms (0.6%)

series404.0ms (2.9%)

rewrite2.8s (20.3%)

eval1.0s (7.3%)

prune168.0ms (1.2%)

regimes70.0ms (0.5%)

regimes75.0ms (0.5%)

regimes40.0ms (0.3%)

regimes29.0ms (0.2%)

regimes30.0ms (0.2%)

regimes25.0ms (0.2%)

regimes18.0ms (0.1%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0%)

bsearch16.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch6.0ms (0%)

bsearch54.0ms (0.4%)

bsearch13.0ms (0.1%)

bsearch3.0ms (0%)

bsearch7.0ms (0.1%)

bsearch25.0ms (0.2%)

derivations3.0ms (0%)

preprocess105.0ms (0.8%)

end0.0ms (0%)

Profiling