Metrics for Given's Rotation SVD example, simplified

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample1.8s (32.7%)

Memory

59.8MiB live, 1 767.7MiB allocated; 1.0s collecting garbage

Samples

722.0ms	2 942×	2	valid
518.0ms	4 116×	0	valid
153.0ms	1 198×	1	valid

Precisions

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

ival-hypot: 355.0ms (31.2% of total)

ival-div!: 349.0ms (30.6% of total)

adjust: 128.0ms (11.2% of total)

ival-sqrt: 126.0ms (11.1% of total)

ival-mult!: 71.0ms (6.2% of total)

ival-sub!: 69.0ms (6.1% of total)

ival-add!: 41.0ms (3.6% of total)

Bogosity

preprocess54.0ms (1%)

Memory

-12.8MiB live, 33.8MiB 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
▶	74.5%	(-.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)

series16.0ms (0.3%)

Memory

36.6MiB live, 36.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	300	1508

Stop Event

1×	iter-limit

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)

rewrite329.0ms (6%)

Memory

-35.3MiB live, 356.4MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	49
0	18	39
1	108	39
2	411	39
3	1418	39
0	8761	36
1	20038	36

Stop Event

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

Counts

9 → 1 510

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 (.f64 #s(literal 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))))) #s(literal 8 binary64)) #s(literal 4 binary64))
(.f64 (/.f64 (.f64 #s(literal 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))))) #s(literal 4 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 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))))) #s(literal 1/2 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))
(/.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)))) (neg.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 (fma.f64 x x #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)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #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 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.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)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.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))
(/.f64 (fma.f64 #s(literal 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)))) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 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))))) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 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)))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.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))
(/.f64 (*.f64 #s(literal 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))))) #s(literal 2 binary64))
(/.f64 (fma.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))
(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)))
(fma.f64 (/.f64 (*.f64 #s(literal 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))))) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 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))))) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 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))))) #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 0 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 #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 #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 (*.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 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)))) #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 #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)))))
#s(literal 1 binary64)
(pow.f64 (*.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))) #s(literal 1/4 binary64))
(pow.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 1/2 binary64))
(neg.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)))))
(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 (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)))))
(fabs.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 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (/.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 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64))
(.f64 (.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 (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 (.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 (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 #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) (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 #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 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 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)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.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 (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 (/.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)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #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)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.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)))) (sqrt.f64 (fma.f64 x x #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)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (/.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)) (/.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 1/2 binary64)))
(*.f64 (/.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 1/2 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)))) #s(literal 2 binary64)))
(*.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))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.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)))) (/.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 (-.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 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (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 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #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 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))) #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 (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 (fma.f64 x x #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))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
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(cos.f64 (+.f64 (+.f64 (atan.f64 (fabs.f64 x)) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (neg.f64 (atan.f64 x)) (PI.f64)) (PI.f64)))
(cos.f64 (neg.f64 (fabs.f64 (atan.f64 x))))
(cos.f64 (neg.f64 (atan.f64 (fabs.f64 x))))
(cos.f64 (fabs.f64 (atan.f64 (fabs.f64 x))))
(cos.f64 (+.f64 (+.f64 (PI.f64) (atan.f64 x)) (PI.f64)))
(cos.f64 (neg.f64 (atan.f64 x)))
(cos.f64 (fabs.f64 (atan.f64 x)))
(cos.f64 (atan.f64 (fabs.f64 x)))
(cos.f64 (atan.f64 x))
(fabs.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (*.f64 (sin.f64 (fabs.f64 (atan.f64 x))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (*.f64 (sin.f64 (atan.f64 (fabs.f64 x))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (*.f64 (sin.f64 (neg.f64 (atan.f64 x))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 #s(literal 0 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 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 x (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))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 8 binary64)) #s(literal 4 binary64))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 4 binary64)) #s(literal 2 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 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 (/.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 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 1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 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))) (/.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 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 4 binary64))
(/.f64 (*.f64 (neg.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 (neg.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 1 binary64))
(neg.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(neg.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.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 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 0 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))) (/.f64 #s(literal 1 binary64) (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 1/2 binary64) (*.f64 (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))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(literal 0 binary64))
(cosh.f64 (neg.f64 (asinh.f64 (neg.f64 (fabs.f64 x)))))
(cosh.f64 (neg.f64 (asinh.f64 (fabs.f64 x))))
(cosh.f64 (neg.f64 (asinh.f64 (neg.f64 x))))
(cosh.f64 (neg.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 (fabs.f64 x))))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (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 0 binary64)))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64))
(fabs.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(hypot.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64)))
(+.f64 (/.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64)))
(+.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64)))
(+.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 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))) #s(literal 0 binary64))
x

eval188.0ms (3.4%)

Memory: 32.1MiB live, 390.4MiB allocated; 74ms collecting garbage
Compiler: Compiled 21 099 to 6 621 computations (68.6% saved)

prune34.0ms (0.6%)

Memory

-3.4MiB live, 87.9MiB allocated; 10ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	1 561	9	1 570
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 562	9	1 571

Accuracy

99.3%

Counts

1 571 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.2%	(/.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)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
▶	74.5%	(-.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))))
	48.9%	(-.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))))))
▶	46.8%	(-.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))))))
	49.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	27.1%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
	51.5%	#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))))))
	51.4%	#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))))))
▶	52.7%	#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 312 to 290 computations (7.1% saved)

series33.0ms (0.6%)

Memory

16.6MiB live, 65.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	466	2748

Stop Event

1×	iter-limit

Counts

26 → 99

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

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

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

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

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

rewrite354.0ms (6.5%)

Memory

-32.0MiB live, 360.6MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	257
0	53	185
1	312	184
2	1033	184
3	4444	184
0	8044	175
1	19209	175

Stop Event

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

Counts

26 → 897

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

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

eval188.0ms (3.4%)

Memory: 26.5MiB live, 256.3MiB allocated; 27ms collecting garbage
Compiler: Compiled 17 275 to 4 250 computations (75.4% saved)

prune39.0ms (0.7%)

Memory

-1.3MiB live, 89.7MiB allocated; 9ms collecting garbage

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	1 113	21	1 134
Fresh	3	1	4
Picked	3	2	5
Done	0	0	0
Total	1 119	24	1 143

Accuracy

99.6%

Counts

1 143 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
	49.2%	(fma.f64 (sqrt.f64 (*.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 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
	49.1%	(/.f64 (fma.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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
	49.2%	(/.f64 (fma.f64 (sqrt.f64 (*.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 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
	49.2%	(/.f64 (/.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)))) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
	49.2%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (*.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 x #s(literal 1 binary64))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
	49.2%	(/.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 x x #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))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
	51.3%	(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 9/1024 binary64) (.f64 #s(literal -131/32768 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/128 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
	52.1%	(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
▶	51.2%	(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -3/128 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
	25.9%	(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
▶	3.6%	(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
✓	74.5%	(-.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))))
	48.9%	(-.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))))
	46.8%	(-.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))))
	46.8%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))
▶	49.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
✓	27.1%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
▶	49.1%	(*.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)))) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
	49.2%	(.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))) (-.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))))))
	49.2%	(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 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 (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))))))
	51.5%	#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))))))
	51.4%	#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))))))
▶	52.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))

Compiler

Compiled 966 to 792 computations (18% saved)

series39.0ms (0.7%)

Memory

26.1MiB live, 76.7MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	566	3637

Stop Event

1×	iter-limit

Counts

36 → 113

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(*.f64 x x)
x
#s(literal 1/8 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(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.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(literal -1 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #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)))) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(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)))) (fma.f64 x x #s(literal 1 binary64)) (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))))
(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)
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -3/128 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -3/128 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 -3/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -3/128 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -3/128 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -3/128 binary64)

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 (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#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 (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -3/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 binary64))))))
#s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 9/1024 binary64) (.f64 #s(literal -131/32768 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/128 binary64))))))
#s(approx (* -1 (* x (+ 1 (* -1 (sqrt 1/2))))) (.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 (* x (+ 1 (* -1 (sqrt 1/2)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 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 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (+ (* x x) 1)) (+ (* x x) 1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (+ (* x x) 1)) (+ (* x x) 1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/128 binary64) (*.f64 #s(literal -19/1024 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (+ (* x x) 1)) (+ (* x x) 1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/128 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 365/32768 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 19/1024 binary64))))))))
#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 (/ 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 (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1 (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (+ (* x x) 1)) (+.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 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (+ 1/8 (* -3/128 (pow x 2))) #s(literal 1/8 binary64))
#s(approx (+ 1/8 (* -3/128 (pow x 2))) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -3/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* -3/128 (pow x 2)) (*.f64 #s(literal -3/128 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 (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 (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (-.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 (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (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))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
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#s(approx (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (+.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))))))))
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#s(approx (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (+.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 (-.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (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))))) (.f64 #s(literal -1 binary64) (/.f64 (fma.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)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 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))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (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))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (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))))) (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 1/8 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 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 (* (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (+ (* x x) 1)) (+ (* x x) 1)) (/ 1 (+ (* x x) 1))) (+.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 (-.f64 (.f64 #s(literal -1 binary64) (-.f64 (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)))))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 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))) (+ (* x x) 1)) (+ (* x x) 1)) (/ 1 (+ (* x x) 1))) (+.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 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (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))))) (.f64 #s(literal -1 binary64) (/.f64 (fma.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)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 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))) (+ (* x x) 1)) (+ (* x x) 1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (+ (* x x) 1)) (+ (* x x) 1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (-.f64 (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))) (+ (* x x) 1)) (+ (* x x) 1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 (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))))) (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 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 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))))
#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)))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (* x x) 1/8) (* x x) x 1/8 (- 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 (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* -1 (* x (+ 1 (* -1 (sqrt 1/2))))) -1 (* x (+ 1 (* -1 (sqrt 1/2)))) (+ 1 (* -1 (sqrt 1/2))) (* -1 (sqrt 1/2)) (sqrt 1/2) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (+ (* x x) 1)) (+ (* x x) 1)) (/ 1 (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (+ (* x x) 1)) (+ (* x x) 1)) (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))) -1/2 (/ 1 (+ (* x x) 1)) (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* (pow x 2) (+ 1/8 (* -3/128 (pow x 2)))) (pow x 2) 2 (+ 1/8 (* -3/128 (pow x 2))) (* -3/128 (pow x 2)) -3/128)
4.0ms	x	@	0	((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (* x x) 1/8) (* x x) x 1/8 (- 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 (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* -1 (* x (+ 1 (* -1 (sqrt 1/2))))) -1 (* x (+ 1 (* -1 (sqrt 1/2)))) (+ 1 (* -1 (sqrt 1/2))) (* -1 (sqrt 1/2)) (sqrt 1/2) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (+ (* x x) 1)) (+ (* x x) 1)) (/ 1 (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (+ (* x x) 1)) (+ (* x x) 1)) (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))) -1/2 (/ 1 (+ (* x x) 1)) (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* (pow x 2) (+ 1/8 (* -3/128 (pow x 2)))) (pow x 2) 2 (+ 1/8 (* -3/128 (pow x 2))) (* -3/128 (pow x 2)) -3/128)
3.0ms	x	@	-inf	((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (* x x) 1/8) (* x x) x 1/8 (- 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 (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* -1 (* x (+ 1 (* -1 (sqrt 1/2))))) -1 (* x (+ 1 (* -1 (sqrt 1/2)))) (+ 1 (* -1 (sqrt 1/2))) (* -1 (sqrt 1/2)) (sqrt 1/2) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (+ (* x x) 1)) (+ (* x x) 1)) (/ 1 (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (+ (* x x) 1)) (+ (* x x) 1)) (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))) -1/2 (/ 1 (+ (* x x) 1)) (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* (pow x 2) (+ 1/8 (* -3/128 (pow x 2)))) (pow x 2) 2 (+ 1/8 (* -3/128 (pow x 2))) (* -3/128 (pow x 2)) -3/128)

Time

Variable

Point

Expression

4.0ms

inf

((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (* x x) 1/8) (* x x) x 1/8 (- 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 (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* -1 (* x (+ 1 (* -1 (sqrt 1/2))))) -1 (* x (+ 1 (* -1 (sqrt 1/2)))) (+ 1 (* -1 (sqrt 1/2))) (* -1 (sqrt 1/2)) (sqrt 1/2) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (+ (* x x) 1)) (+ (* x x) 1)) (/ 1 (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (+ (* x x) 1)) (+ (* x x) 1)) (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))) -1/2 (/ 1 (+ (* x x) 1)) (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* (pow x 2) (+ 1/8 (* -3/128 (pow x 2)))) (pow x 2) 2 (+ 1/8 (* -3/128 (pow x 2))) (* -3/128 (pow x 2)) -3/128)

4.0ms

((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (* x x) 1/8) (* x x) x 1/8 (- 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 (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* -1 (* x (+ 1 (* -1 (sqrt 1/2))))) -1 (* x (+ 1 (* -1 (sqrt 1/2)))) (+ 1 (* -1 (sqrt 1/2))) (* -1 (sqrt 1/2)) (sqrt 1/2) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (+ (* x x) 1)) (+ (* x x) 1)) (/ 1 (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (+ (* x x) 1)) (+ (* x x) 1)) (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))) -1/2 (/ 1 (+ (* x x) 1)) (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* (pow x 2) (+ 1/8 (* -3/128 (pow x 2)))) (pow x 2) 2 (+ 1/8 (* -3/128 (pow x 2))) (* -3/128 (pow x 2)) -3/128)

3.0ms

-inf

((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (* x x) 1/8) (* x x) x 1/8 (- 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 (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* -1 (* x (+ 1 (* -1 (sqrt 1/2))))) -1 (* x (+ 1 (* -1 (sqrt 1/2)))) (+ 1 (* -1 (sqrt 1/2))) (* -1 (sqrt 1/2)) (sqrt 1/2) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (+ (* x x) 1)) (+ (* x x) 1)) (/ 1 (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (+ (* x x) 1)) (+ (* x x) 1)) (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))) -1/2 (/ 1 (+ (* x x) 1)) (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* (pow x 2) (+ 1/8 (* -3/128 (pow x 2)))) (pow x 2) 2 (+ 1/8 (* -3/128 (pow x 2))) (* -3/128 (pow x 2)) -3/128)

rewrite265.0ms (4.9%)

Memory

-13.5MiB live, 340.7MiB allocated; 108ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	388
0	80	303
1	386	291
2	1557	279
3	6273	278
0	8069	261
1	16301	261

Stop Event

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

Counts

36 → 1 134

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(*.f64 x x)
x
#s(literal 1/8 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(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.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(literal -1 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #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)))) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(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)))) (fma.f64 x x #s(literal 1 binary64)) (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))))
(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)
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -3/128 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -3/128 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 -3/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -3/128 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -3/128 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -3/128 binary64)

Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(.f64 (.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal -1 binary64)) x)
(.f64 (.f64 #s(literal 1/8 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (*.f64 #s(literal -1/8 binary64) x) x) #s(literal -1 binary64))
(.f64 (.f64 #s(literal -1/8 binary64) x) (neg.f64 x))
(.f64 (.f64 (fabs.f64 x) #s(literal 1/8 binary64)) (fabs.f64 x))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/8 binary64)))
(.f64 (.f64 #s(literal 1/8 binary64) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/8 binary64)))
(.f64 (neg.f64 x) (.f64 #s(literal -1/8 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 #s(literal -1/8 binary64) x)))
(.f64 (.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(.f64 x (.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/8 binary64) x)))
(.f64 x (.f64 #s(literal 1/8 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(neg.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x))
(neg.f64 (.f64 (.f64 #s(literal 1/8 binary64) x) (neg.f64 x)))
(neg.f64 (.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 x) x)))
(neg.f64 (.f64 x (.f64 #s(literal -1/8 binary64) x)))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/8 binary64)))
(neg.f64 (.f64 (neg.f64 x) (.f64 #s(literal 1/8 binary64) x)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)))
(sqrt.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))
(sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
x
#s(literal 1/8 binary64)
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (-.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) #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))))
(+.f64 (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+.f64 (-.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 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(fabs.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(.f64 (neg.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(pow.f64 (.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))
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
(sqrt.f64 (.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))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(fabs.f64 (.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
(fabs.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(.f64 (.f64 (neg.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (.f64 (neg.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64))
(.f64 (/.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))))
(.f64 (neg.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (.f64 (neg.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))))
(neg.f64 (/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
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(.f64 (.f64 (fma.f64 #s(literal -3/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) (fma.f64 #s(literal -3/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 #s(literal -3/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 #s(literal -3/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))))
(.f64 (.f64 (.f64 (fma.f64 #s(literal -3/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal -3/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(.f64 #s(literal -1 binary64) (.f64 x (.f64 (neg.f64 x) (fma.f64 #s(literal -3/128 binary64) (.f64 x x) #s(literal 1/8 binary64)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -3/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)))
(.f64 x (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (fma.f64 #s(literal -3/128 binary64) (.f64 x x) #s(literal 1/8 binary64)))))
(.f64 x (.f64 (fma.f64 #s(literal -3/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal -3/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x))
(neg.f64 (.f64 x (.f64 (neg.f64 x) (fma.f64 #s(literal -3/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)))))
(neg.f64 (.f64 (fma.f64 #s(literal 3/128 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x)))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -3/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))))
(neg.f64 (.f64 (neg.f64 x) (.f64 (fma.f64 #s(literal -3/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x)))
(neg.f64 (.f64 (.f64 (neg.f64 x) (fma.f64 #s(literal -3/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) x))
(neg.f64 (.f64 (.f64 (fma.f64 #s(literal -3/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) (neg.f64 x)))
(neg.f64 (.f64 (fma.f64 #s(literal -3/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 (neg.f64 x) x)))
(neg.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 3/128 binary64) (*.f64 x x) #s(literal -1/8 binary64))))
(neg.f64 (-.f64 (.f64 (.f64 #s(literal 3/128 binary64) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/8 binary64) (.f64 x x))))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 3/128 binary64) (.f64 x x)) x) #s(literal -1 binary64)) x (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(fma.f64 (.f64 (.f64 #s(literal -3/128 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 -1/8 binary64) x) #s(literal -1 binary64)) x (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -3/128 binary64) x)))
(fma.f64 (.f64 #s(literal 1/8 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal -3/128 binary64) x)))
(fma.f64 (.f64 (fabs.f64 x) (.f64 x x)) (.f64 (fabs.f64 x) #s(literal -3/128 binary64)) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 (neg.f64 x) (.f64 x x)) (.f64 #s(literal 3/128 binary64) x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -3/128 binary64) x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -3/128 binary64) x)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal -3/128 binary64)) (.f64 (fabs.f64 x) (.f64 x x)) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 3/128 binary64) x) (.f64 (neg.f64 x) (.f64 x x)) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal -1/8 binary64) x) (neg.f64 x) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal -3/128 binary64) x)))
(fma.f64 (.f64 (.f64 #s(literal 3/128 binary64) (.f64 x x)) x) (neg.f64 x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 #s(literal -3/128 binary64) (.f64 x x)) x) x (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal -3/128 binary64) x) (.f64 (.f64 x x) x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1/8 binary64)) (fabs.f64 x) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal -3/128 binary64) x)))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal -3/128 binary64) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 (fabs.f64 x) x) (.f64 #s(literal -3/128 binary64) x)) (fabs.f64 x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 #s(literal 3/128 binary64) x) (.f64 (.f64 x x) x)) #s(literal -1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) (.f64 #s(literal -3/128 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 (.f64 x x) x) (*.f64 #s(literal -3/128 binary64) x)))
(fma.f64 (.f64 #s(literal 1/8 binary64) x) x (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal -3/128 binary64) x)))
(fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -3/128 binary64) x)) #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal -3/128 binary64) x)))
(fma.f64 (fabs.f64 x) (.f64 (.f64 (fabs.f64 x) x) (.f64 #s(literal -3/128 binary64) x)) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 x) (.f64 #s(literal -1/8 binary64) x) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal -3/128 binary64) x)))
(fma.f64 (neg.f64 x) (.f64 (.f64 #s(literal 3/128 binary64) (.f64 x x)) x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal -3/128 binary64) (.f64 x x)) (.f64 x x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 #s(literal -3/128 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (.f64 x (.f64 #s(literal -1/8 binary64) x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -3/128 binary64) x)))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 3/128 binary64) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -3/128 binary64) x)))
(fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal -3/128 binary64) x)))
(fma.f64 (.f64 x x) (.f64 #s(literal -3/128 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 (.f64 x x) x) (*.f64 #s(literal -3/128 binary64) x)))
(fma.f64 x (.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 3/128 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(fma.f64 x (.f64 #s(literal -1 binary64) (.f64 #s(literal -1/8 binary64) x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -3/128 binary64) x)))
(fma.f64 x (.f64 (.f64 #s(literal -3/128 binary64) (.f64 x x)) x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 x (.f64 #s(literal 1/8 binary64) x) (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal -3/128 binary64) x)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -3/128 binary64) x)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -3/128 binary64) x)))
(-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -3/128 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) x) x))
(-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -3/128 binary64) x)) (.f64 (.f64 #s(literal 1/8 binary64) x) (neg.f64 x)))
(-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -3/128 binary64) x)) (.f64 (neg.f64 (.f64 (fabs.f64 x) #s(literal 1/8 binary64))) (fabs.f64 x)))
(-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -3/128 binary64) x)) (.f64 (neg.f64 (fabs.f64 x)) (.f64 (fabs.f64 x) #s(literal 1/8 binary64))))
(-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -3/128 binary64) x)) (.f64 x (.f64 #s(literal -1/8 binary64) x)))
(-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -3/128 binary64) x)) (.f64 #s(literal -1/8 binary64) (.f64 x x)))
(-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -3/128 binary64) x)) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/8 binary64)))
(-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -3/128 binary64) x)) (.f64 (neg.f64 x) (.f64 #s(literal 1/8 binary64) x)))
(-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -3/128 binary64) x)) (neg.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x))))
(-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 3/128 binary64) x) (.f64 (.f64 x x) x)))
(+.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -3/128 binary64) x)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -3/128 binary64) x)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)))
(sqrt.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))
(sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
#s(literal 2 binary64)
(neg.f64 (-.f64 #s(literal -1/8 binary64) (.f64 #s(literal -3/128 binary64) (.f64 x x))))
(neg.f64 (fma.f64 #s(literal 3/128 binary64) (*.f64 x x) #s(literal -1/8 binary64)))
(fma.f64 (*.f64 #s(literal -3/128 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) #s(literal 1/8 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -3/128 binary64)) (fabs.f64 x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 #s(literal 3/128 binary64) x) (neg.f64 x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 #s(literal 3/128 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1/8 binary64))
(fma.f64 (*.f64 #s(literal -3/128 binary64) x) x #s(literal 1/8 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -3/128 binary64)) #s(literal 1/8 binary64))
(fma.f64 #s(literal 3/128 binary64) (*.f64 (neg.f64 x) x) #s(literal 1/8 binary64))
(fma.f64 (.f64 #s(literal 3/128 binary64) (.f64 x x)) #s(literal -1 binary64) #s(literal 1/8 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 3/128 binary64) #s(literal 1/8 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -3/128 binary64)) #s(literal 1/8 binary64))
(fma.f64 (neg.f64 x) (*.f64 #s(literal 3/128 binary64) x) #s(literal 1/8 binary64))
(fma.f64 (.f64 #s(literal -3/128 binary64) (.f64 x x)) #s(literal 1 binary64) #s(literal 1/8 binary64))
(fma.f64 #s(literal -3/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 3/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal -3/128 binary64) #s(literal 1/8 binary64))
(fma.f64 x (.f64 #s(literal -1 binary64) (.f64 #s(literal 3/128 binary64) x)) #s(literal 1/8 binary64))
(fma.f64 x (*.f64 #s(literal -3/128 binary64) x) #s(literal 1/8 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -3/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))
(-.f64 (.f64 #s(literal -3/128 binary64) (.f64 x x)) #s(literal -1/8 binary64))
(-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 3/128 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal -3/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -3/128 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal -3/128 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 x) #s(literal -3/128 binary64)) (fabs.f64 x))
(.f64 (.f64 #s(literal 3/128 binary64) x) (neg.f64 x))
(.f64 (.f64 #s(literal 3/128 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 #s(literal -3/128 binary64) x) x)
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal -3/128 binary64)))
(.f64 #s(literal 3/128 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 #s(literal 3/128 binary64) (*.f64 x x)) #s(literal -1 binary64))
(.f64 (.f64 (neg.f64 x) x) #s(literal 3/128 binary64))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal -3/128 binary64)))
(.f64 (neg.f64 x) (.f64 #s(literal 3/128 binary64) x))
(.f64 (.f64 #s(literal -3/128 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal -3/128 binary64) (.f64 x x))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 3/128 binary64) (*.f64 x x)))
(.f64 (.f64 x x) #s(literal -3/128 binary64))
(.f64 x (.f64 #s(literal -1 binary64) (*.f64 #s(literal 3/128 binary64) x)))
(.f64 x (.f64 #s(literal -3/128 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -3/128 binary64) (*.f64 x x)))
(neg.f64 (.f64 #s(literal 3/128 binary64) (.f64 x x)))
#s(literal -3/128 binary64)

eval247.0ms (4.5%)

Memory: -29.3MiB live, 297.1MiB allocated; 53ms collecting garbage
Compiler: Compiled 19 003 to 4 926 computations (74.1% saved)

prune83.0ms (1.5%)

Memory

18.5MiB live, 118.0MiB allocated; 8ms collecting garbage

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	1 404	12	1 416
Fresh	4	13	17
Picked	3	2	5
Done	0	2	2
Total	1 411	29	1 440

Accuracy

99.6%

Counts

1 440 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(fma.f64 (fma.f64 x x #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)))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
	49.2%	(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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	49.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 x 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)))) #s(literal 1 binary64))
	49.2%	(fma.f64 (sqrt.f64 (*.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 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
	49.1%	(/.f64 (fma.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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
	49.2%	(/.f64 (fma.f64 (sqrt.f64 (*.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 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
	49.2%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (*.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 x #s(literal 1 binary64))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
	3.6%	(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (-.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
	51.2%	(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (fma.f64 #s(literal -3/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
	51.3%	(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 9/1024 binary64) (.f64 #s(literal -131/32768 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/128 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
▶	52.1%	(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
	3.6%	(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
	49.1%	(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 (+ ( x x) 1)) (*.f64 #s(literal -1 binary64) x)))
✓	74.5%	(-.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))))
	48.9%	(-.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))))
▶	46.8%	(-.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))))
	46.8%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))
✓	49.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
✓	27.1%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
	23.7%	(.f64 (fma.f64 #s(approx (neg (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
▶	51.8%	(.f64 (fma.f64 x x (fma.f64 (-.f64 #s(literal -1 binary64) (.f64 x 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))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
	49.2%	(.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))) (-.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))))))
	49.2%	(.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #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) (fma.f64 x x #s(literal 1 binary64))))
	49.1%	(.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)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
▶	3.6%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
	51.2%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 #s(literal -3/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)))
	51.5%	#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))))))
	51.4%	#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))))))
✓	52.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))

Compiler

Compiled 1 167 to 969 computations (17% saved)

series43.0ms (0.8%)

Memory

13.1MiB live, 104.5MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	722	5596

Stop Event

1×	iter-limit

Counts

41 → 153

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 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 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 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 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 binary64))))
#s(literal 1/8 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 binary64)))
(-.f64 (*.f64 #s(literal 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 binary64))
(*.f64 #s(literal 9/1024 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 9/1024 binary64)
#s(literal 3/128 binary64)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 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)
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 x 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)))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 x 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 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 x 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))))
(.f64 (fma.f64 x x (fma.f64 (-.f64 #s(literal -1 binary64) (.f64 x 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))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x x (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 x 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))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 x 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))) #s(literal 1 binary64))

Outputs
#s(approx (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -3/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 binary64))))))
#s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 9/1024 binary64) (.f64 #s(literal -131/32768 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/128 binary64))))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (+ 1/8 (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128))) #s(literal 1/8 binary64))
#s(approx (+ 1/8 (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128))) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -3/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1/8 (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128))) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 binary64)))))
#s(approx (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128)) (*.f64 #s(literal -3/128 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 binary64))))
#s(approx (- (* 9/1024 (pow x 2)) 3/128) #s(literal -3/128 binary64))
#s(approx (- (* 9/1024 (pow x 2)) 3/128) (-.f64 (*.f64 #s(literal 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 binary64)))
#s(approx (* 9/1024 (pow x 2)) (*.f64 #s(literal 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) 1)) #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 (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 (/ -1/2 x) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (sqrt (/ 1 (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (/ 1 (+ (* x x) 1))) (+.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 (sqrt (/ 1 (+ (* x x) 1))) (+.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 (/ 1 (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1 (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (+ (* x x) 1)) (+.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 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (- (sqrt 1/2) 1) x) (*.f64 x (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) #s(literal -1 binary64))
#s(approx (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (*.f64 #s(literal -7/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
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#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 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 (/ 1 (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))) (+.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 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (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))))) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 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 (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))) (+.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 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (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))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.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)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 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 (+ (* x x) 1))) (/.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (/ 1 (+ (* x x) 1))) (.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 (sqrt (/ 1 (+ (* x x) 1))) (.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 (sqrt (/ 1 (+ (* x x) 1))) (.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 (+ (* (/ 1 (+ (* x x) 1)) (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) 1) (+.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 (+ (* (/ 1 (+ (* x x) 1)) (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) 1) (+.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 (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (.f64 (pow.f64 x #s(literal 2 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 (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (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 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) x)))))
#s(approx (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (.f64 (pow.f64 x #s(literal 2 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 binary64) (-.f64 (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))))) (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 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)))))
#s(approx (* (+ (* x x) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1)) (/ 1 (+ (* x x) 1))) (+.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 (-.f64 (.f64 #s(literal -1 binary64) (-.f64 (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)))))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)))))
#s(approx (* (+ (* x x) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1)) (/ 1 (+ (* x x) 1))) (+.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 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (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))))) (.f64 #s(literal -1 binary64) (/.f64 (fma.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)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)))))
#s(approx (+ (* x x) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 (+ (* x x) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (-.f64 (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 (+ (* x x) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 (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))))) (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 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))))))
#s(approx (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1) (.f64 (pow.f64 x #s(literal 2 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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (-.f64 (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 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1) (.f64 (pow.f64 x #s(literal 2 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 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 (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))))) (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 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)))))

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	((/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128)))) (pow x 2) x 2 (+ 1/8 (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128))) 1/8 (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128)) (- (* 9/1024 (pow x 2)) 3/128) (* 9/1024 (pow x 2)) 9/1024 3/128 (sqrt (+ (* x x) 1)) (+ (* x x) 1) 1 (- 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 (* (sqrt (/ 1 (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))) (sqrt (/ 1 (+ (* x x) 1))) (/ 1 (+ (* x x) 1)) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* (- (sqrt 1/2) 1) x) (- (sqrt 1/2) 1) (sqrt 1/2) 1/2 (+ (* (/ 1 (+ (* x x) 1)) (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) 1) (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (- -1 (* x x)) -1 (* x x) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (* (+ (* x x) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1)) (/ 1 (+ (* x x) 1))) (+ (* x x) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1)) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1))
4.0ms	x	@	-inf	((/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128)))) (pow x 2) x 2 (+ 1/8 (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128))) 1/8 (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128)) (- (* 9/1024 (pow x 2)) 3/128) (* 9/1024 (pow x 2)) 9/1024 3/128 (sqrt (+ (* x x) 1)) (+ (* x x) 1) 1 (- 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 (* (sqrt (/ 1 (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))) (sqrt (/ 1 (+ (* x x) 1))) (/ 1 (+ (* x x) 1)) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* (- (sqrt 1/2) 1) x) (- (sqrt 1/2) 1) (sqrt 1/2) 1/2 (+ (* (/ 1 (+ (* x x) 1)) (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) 1) (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (- -1 (* x x)) -1 (* x x) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (* (+ (* x x) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1)) (/ 1 (+ (* x x) 1))) (+ (* x x) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1)) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1))
3.0ms	x	@	0	((/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128)))) (pow x 2) x 2 (+ 1/8 (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128))) 1/8 (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128)) (- (* 9/1024 (pow x 2)) 3/128) (* 9/1024 (pow x 2)) 9/1024 3/128 (sqrt (+ (* x x) 1)) (+ (* x x) 1) 1 (- 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 (* (sqrt (/ 1 (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))) (sqrt (/ 1 (+ (* x x) 1))) (/ 1 (+ (* x x) 1)) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* (- (sqrt 1/2) 1) x) (- (sqrt 1/2) 1) (sqrt 1/2) 1/2 (+ (* (/ 1 (+ (* x x) 1)) (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) 1) (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (- -1 (* x x)) -1 (* x x) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (* (+ (* x x) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1)) (/ 1 (+ (* x x) 1))) (+ (* x x) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1)) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1))

Time

Variable

Point

Expression

8.0ms

inf

((/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128)))) (pow x 2) x 2 (+ 1/8 (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128))) 1/8 (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128)) (- (* 9/1024 (pow x 2)) 3/128) (* 9/1024 (pow x 2)) 9/1024 3/128 (sqrt (+ (* x x) 1)) (+ (* x x) 1) 1 (- 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 (* (sqrt (/ 1 (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))) (sqrt (/ 1 (+ (* x x) 1))) (/ 1 (+ (* x x) 1)) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* (- (sqrt 1/2) 1) x) (- (sqrt 1/2) 1) (sqrt 1/2) 1/2 (+ (* (/ 1 (+ (* x x) 1)) (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) 1) (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (- -1 (* x x)) -1 (* x x) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (* (+ (* x x) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1)) (/ 1 (+ (* x x) 1))) (+ (* x x) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1)) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1))

4.0ms

-inf

((/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128)))) (pow x 2) x 2 (+ 1/8 (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128))) 1/8 (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128)) (- (* 9/1024 (pow x 2)) 3/128) (* 9/1024 (pow x 2)) 9/1024 3/128 (sqrt (+ (* x x) 1)) (+ (* x x) 1) 1 (- 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 (* (sqrt (/ 1 (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))) (sqrt (/ 1 (+ (* x x) 1))) (/ 1 (+ (* x x) 1)) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* (- (sqrt 1/2) 1) x) (- (sqrt 1/2) 1) (sqrt 1/2) 1/2 (+ (* (/ 1 (+ (* x x) 1)) (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) 1) (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (- -1 (* x x)) -1 (* x x) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (* (+ (* x x) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1)) (/ 1 (+ (* x x) 1))) (+ (* x x) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1)) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1))

3.0ms

((/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128)))) (pow x 2) x 2 (+ 1/8 (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128))) 1/8 (* (pow x 2) (- (* 9/1024 (pow x 2)) 3/128)) (- (* 9/1024 (pow x 2)) 3/128) (* 9/1024 (pow x 2)) 9/1024 3/128 (sqrt (+ (* x x) 1)) (+ (* x x) 1) 1 (- 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 (* (sqrt (/ 1 (+ (* x x) 1))) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))) (sqrt (/ 1 (+ (* x x) 1))) (/ 1 (+ (* x x) 1)) (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (* (- (sqrt 1/2) 1) x) (- (sqrt 1/2) 1) (sqrt 1/2) 1/2 (+ (* (/ 1 (+ (* x x) 1)) (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) 1) (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (- -1 (* x x)) -1 (* x x) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (* (+ (* x x) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1)) (/ 1 (+ (* x x) 1))) (+ (* x x) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1)) (+ (* (- -1 (* x x)) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1))

rewrite291.0ms (5.3%)

Memory

-5.2MiB live, 423.7MiB allocated; 98ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	450
0	83	387
1	376	385
2	1260	359
3	5076	350
0	8902	329
1	19413	329

Stop Event

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

Counts

41 → 1 535

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 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 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 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 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 binary64))))
#s(literal 1/8 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 binary64)))
(-.f64 (*.f64 #s(literal 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 binary64))
(*.f64 #s(literal 9/1024 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 9/1024 binary64)
#s(literal 3/128 binary64)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 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)
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 x 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)))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 x 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 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 x 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))))
(.f64 (fma.f64 x x (fma.f64 (-.f64 #s(literal -1 binary64) (.f64 x 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))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x x (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 x 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))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 x 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))) #s(literal 1 binary64))

Outputs
(.f64 (/.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))))
(.f64 (neg.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))) (/.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(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)))
(.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)))
#s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
(/.f64 (neg.f64 (.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))))
(fma.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) #s(literal 1 binary64) (.f64 #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) #s(literal 0 binary64)))
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(fma.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 (.f64 (neg.f64 x) 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)))) #s(literal -1 binary64)))
(-.f64 (.f64 (-.f64 #s(literal -1 binary64) (.f64 x 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)))) #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))) (fma.f64 x x #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)))) (.f64 (.f64 (neg.f64 x) 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 (fma.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 x x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (.f64 (-.f64 #s(literal -1 binary64) (.f64 x 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)))) #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)))) (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 x) #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)))) (-.f64 (.f64 (.f64 (neg.f64 x) 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)))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal -1 binary64) (.f64 x 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 #s(literal 1 binary64) (-.f64 #s(literal 0 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))) (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) (.f64 x 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)))))

eval296.0ms (5.4%)

Memory: 27.9MiB live, 401.6MiB allocated; 65ms collecting garbage
Compiler: Compiled 26 037 to 7 134 computations (72.6% saved)

prune157.0ms (2.9%)

Memory

-29.0MiB live, 174.2MiB allocated; 37ms collecting garbage

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	2 008	13	2 021
Fresh	8	12	20
Picked	3	2	5
Done	0	4	4
Total	2 019	31	2 050

Accuracy

99.6%

Counts

2 050 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(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))) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))
	49.2%	(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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
	21.5%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 x x)) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) (*.f64 #s(literal -1 binary64) x))) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
	51.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #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)))))
	49.2%	(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))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
	49.2%	(fma.f64 (sqrt.f64 (*.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 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
	52.2%	(fma.f64 x (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #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)))))
	49.2%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (*.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 x #s(literal 1 binary64))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
	52.1%	(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64))) x (.f64 #s(literal 1/8 binary64) (.f64 x x)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
	3.6%	(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (-.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
	51.2%	(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (fma.f64 #s(literal -3/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
	51.3%	(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 9/1024 binary64) (.f64 #s(literal -131/32768 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/128 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
	52.1%	(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
✓	74.5%	(-.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))))
	48.9%	(-.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))))
✓	46.8%	(-.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))))
	46.8%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))
✓	49.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
✓	27.1%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
	23.7%	(.f64 (fma.f64 #s(approx (neg (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
	21.4%	(.f64 (fma.f64 x x (fma.f64 (-.f64 #s(literal -1 binary64) (.f64 x x)) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) (*.f64 #s(literal -1 binary64) x))) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
	51.8%	(.f64 (fma.f64 x x (+.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)))) (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 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
	3.6%	(.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
	49.2%	(.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))) (-.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))))))
	49.2%	(.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #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) (fma.f64 x x #s(literal 1 binary64))))
✓	3.6%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
	51.2%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 #s(literal -3/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)))
	49.1%	(.f64 #s(approx (sqrt (/ 1 (+ ( x x) 1))) (/.f64 #s(literal -1 binary64) x)) #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
	51.5%	#s(approx (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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))))))
	51.4%	#s(approx (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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))))))
✓	52.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))

Compiler

Compiled 1 476 to 813 computations (44.9% saved)

regimes111.0ms (2%)

Memory

-8.2MiB live, 175.5MiB allocated; 21ms collecting garbage

Counts

56 → 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 x) #s(literal 1/8 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 #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(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))))))
(.f64 #s(approx (sqrt (/ 1 (+ ( x x) 1))) (/.f64 #s(literal -1 binary64) x)) #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #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 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (-.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 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))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 (+ ( x x) 1)) (*.f64 #s(literal -1 binary64) x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (fma.f64 #s(literal -3/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(-.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 #s(literal -3/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)))
(.f64 (fma.f64 #s(approx (neg (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 x x)) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) (*.f64 #s(literal -1 binary64) x))) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(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))) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #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)))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(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))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 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))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 x 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)))) #s(literal 1 binary64))
(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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.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 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(.f64 (fma.f64 x x (fma.f64 (-.f64 #s(literal -1 binary64) (.f64 x x)) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) (*.f64 #s(literal -1 binary64) x))) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64))) x (.f64 #s(literal 1/8 binary64) (.f64 x x)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #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 (fma.f64 x x #s(literal 1 binary64)))) (.f64 (sqrt.f64 (fma.f64 x x #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))))))
#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 (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 (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #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) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (fma.f64 x x (fma.f64 (-.f64 #s(literal -1 binary64) (.f64 x 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))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #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)))) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #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 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (*.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 x #s(literal 1 binary64))))) (sqrt.f64 (fma.f64 x x #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)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 x x #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))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 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 (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 (fma.f64 (sqrt.f64 (*.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 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -3/128 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (/.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)))) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (fma.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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(.f64 (fma.f64 x x (+.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)))) (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 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 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 (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))) (.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 (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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))))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 9/1024 binary64) (.f64 #s(literal -131/32768 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/128 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))

Outputs

#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))))))

(-.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:

29.0ms	x
19.0ms	(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)))))
16.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
13.0ms	(hypot.f64 #s(literal 1 binary64) x)
10.0ms	(-.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
99.3%	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)

regimes92.0ms (1.7%)

Memory

13.0MiB live, 249.4MiB allocated; 44ms collecting garbage

Counts

52 → 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 x) #s(literal 1/8 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 #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(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))))))
(.f64 #s(approx (sqrt (/ 1 (+ ( x x) 1))) (/.f64 #s(literal -1 binary64) x)) #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #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 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (-.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 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))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 (+ ( x x) 1)) (*.f64 #s(literal -1 binary64) x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (fma.f64 #s(literal -3/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(-.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 #s(literal -3/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)))
(.f64 (fma.f64 #s(approx (neg (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 x x)) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) (*.f64 #s(literal -1 binary64) x))) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(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))) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #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)))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(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))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 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))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 x 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)))) #s(literal 1 binary64))
(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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.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 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(.f64 (fma.f64 x x (fma.f64 (-.f64 #s(literal -1 binary64) (.f64 x x)) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) (*.f64 #s(literal -1 binary64) x))) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64))) x (.f64 #s(literal 1/8 binary64) (.f64 x x)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #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 (fma.f64 x x #s(literal 1 binary64)))) (.f64 (sqrt.f64 (fma.f64 x x #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))))))
#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 (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 (/ (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #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) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (fma.f64 x x (fma.f64 (-.f64 #s(literal -1 binary64) (.f64 x 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))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #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)))) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #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 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (*.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 x #s(literal 1 binary64))))) (sqrt.f64 (fma.f64 x x #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)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 x x #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))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 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 (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 (fma.f64 (sqrt.f64 (*.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 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -3/128 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (/.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)))) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (fma.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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(.f64 (fma.f64 x x (+.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)))) (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 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))

Outputs

(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 9/1024 binary64) (*.f64 x x) #s(literal -3/128 binary64))) x (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) (sqrt.f64 (fma.f64 x x #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))))

Calls

7 calls:

19.0ms	x
15.0ms	(hypot.f64 #s(literal 1 binary64) x)
14.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
11.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
11.0ms	(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
99.2%	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)

regimes55.0ms (1%)

Memory

7.1MiB live, 143.8MiB allocated; 14ms collecting garbage

Counts

32 → 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 x) #s(literal 1/8 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 #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(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))))))
(.f64 #s(approx (sqrt (/ 1 (+ ( x x) 1))) (/.f64 #s(literal -1 binary64) x)) #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #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 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (-.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 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))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 (+ ( x x) 1)) (*.f64 #s(literal -1 binary64) x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (fma.f64 #s(literal -3/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(-.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 #s(literal -3/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)))
(.f64 (fma.f64 #s(approx (neg (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (.f64 x x) #s(literal -3/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 x x)) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) (*.f64 #s(literal -1 binary64) x))) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(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))) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #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)))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(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))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 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))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 x 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)))) #s(literal 1 binary64))
(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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.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 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(.f64 (fma.f64 x x (fma.f64 (-.f64 #s(literal -1 binary64) (.f64 x x)) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) (*.f64 #s(literal -1 binary64) x))) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))

Outputs

(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 9/1024 binary64) (*.f64 x x) #s(literal -3/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) (sqrt.f64 (fma.f64 x x #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))))

Calls

7 calls:

9.0ms	(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))))))
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))))
8.0ms	x
7.0ms	(/.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)

regimes49.0ms (0.9%)

Memory

-22.3MiB live, 89.1MiB allocated; 26ms collecting garbage

Counts

22 → 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 x) #s(literal 1/8 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 #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(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))))))
(.f64 #s(approx (sqrt (/ 1 (+ ( x x) 1))) (/.f64 #s(literal -1 binary64) x)) #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #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 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (-.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 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))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 (+ ( x x) 1)) (*.f64 #s(literal -1 binary64) x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (fma.f64 #s(literal -3/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(-.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (.f64 (fma.f64 #s(literal -3/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)))
(.f64 (fma.f64 #s(approx (neg (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))

Outputs

(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (*.f64 (fma.f64 #s(literal -3/128 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:

17.0ms	(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)))))
8.0ms	(hypot.f64 #s(literal 1 binary64) x)
6.0ms	x
5.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
4.0ms	(*.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)

regimes32.0ms (0.6%)

Memory

35.8MiB live, 81.5MiB allocated; 4ms collecting garbage

Counts

19 → 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 x) #s(literal 1/8 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 #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(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))))))
(.f64 #s(approx (sqrt (/ 1 (+ ( x x) 1))) (/.f64 #s(literal -1 binary64) x)) #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #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 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (-.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 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))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 (+ ( x x) 1)) (*.f64 #s(literal -1 binary64) x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 (fma.f64 #s(literal -3/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(-.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))))))

Outputs

(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (fma.f64 #s(literal -3/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #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))))

Calls

7 calls:

7.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
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))))))

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)

regimes39.0ms (0.7%)

Memory

-8.5MiB live, 85.3MiB allocated; 15ms 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 x) #s(literal 1/8 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 #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(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))))))
(.f64 #s(approx (sqrt (/ 1 (+ ( x x) 1))) (/.f64 #s(literal -1 binary64) x)) #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #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 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (-.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 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))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.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 (+ ( x x) 1)) (*.f64 #s(literal -1 binary64) x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (+ ( (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))

Outputs

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

Calls

7 calls:

12.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
8.0ms	x
4.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
4.0ms	(hypot.f64 #s(literal 1 binary64) x)
3.0ms	(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
98.8%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.8%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.8%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.8%	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)))))`
98.8%	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))))))`
98.8%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes47.0ms (0.9%)

Memory

-14.5MiB live, 31.6MiB allocated; 4ms 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 x) #s(literal 1/8 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 #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(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))))))
(.f64 #s(approx (sqrt (/ 1 (+ ( x x) 1))) (/.f64 #s(literal -1 binary64) x)) #s(approx (+ (* (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))

Outputs

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

Calls

7 calls:

33.0ms	(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	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) (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
98.4%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.4%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.4%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.4%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.4%	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)))))`
98.4%	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))))))`
98.4%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes10.0ms (0.2%)

Memory

19.4MiB live, 19.4MiB allocated; 0ms 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 x) #s(literal 1/8 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))))

Outputs

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

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))))))
1.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
97.4%	2	`(hypot.f64 #s(literal 1 binary64) x)`
97.4%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
97.4%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
97.4%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
97.4%	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)))))`
97.4%	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))))))`
97.4%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes56.0ms (1%)

Memory

-28.4MiB live, 19.0MiB allocated; 2ms 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:

49.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
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))))))

Results

Accuracy	Segments	Branch
72.6%	2	`(hypot.f64 #s(literal 1 binary64) x)`
72.6%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
72.6%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
72.6%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
72.6%	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)))))`
72.6%	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))))))`
72.9%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes6.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB 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	(+.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)

Results

Accuracy	Segments	Branch
27.1%	1	`(hypot.f64 #s(literal 1 binary64) x)`
27.1%	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))))))`
27.1%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
27.1%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
27.1%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
27.1%	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)))))`
27.1%	1	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch22.0ms (0.4%)

Memory

-10.5MiB live, 35.4MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.013059576935508873	40.27981961218147

Samples

7.0ms

128×

valid

Compiler

Compiled 332 to 317 computations (4.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-hypot: 2.0ms (41.9% of total)

ival-sqrt: 1.0ms (20.9% of total)

ival-div!: 1.0ms (20.9% of total)

ival-mult!: 1.0ms (20.9% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Memory

16.5MiB live, 16.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.013059576935508873	40.27981961218147

Samples

4.0ms

64×

valid

Compiler

Compiled 380 to 325 computations (14.5% saved)

Precisions

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

ival-hypot: 1.0ms (40.9% 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)

bsearch2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.013059576935508873	40.27981961218147

Compiler

Compiled 364 to 317 computations (12.9% saved)

bsearch34.0ms (0.6%)

Memory

-3.2MiB live, 46.4MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	0.00014502304479854447	0.013059576935508873

Samples

27.0ms

112×

valid

Compiler

Compiled 307 to 272 computations (11.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div!: 14.0ms (58.5% of total)

ival-hypot: 4.0ms (16.7% of total)

adjust: 2.0ms (8.4% of total)

ival-sqrt: 2.0ms (8.4% of total)

ival-add!: 1.0ms (4.2% of total)

ival-sub!: 1.0ms (4.2% of total)

ival-mult!: 1.0ms (4.2% of total)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.00014502304479854447	0.013059576935508873

Compiler

Compiled 300 to 258 computations (14% saved)

bsearch26.0ms (0.5%)

Memory

-1.8MiB live, 44.8MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	2.8291852129720353e-5	0.00014502304479854447

Samples

20.0ms

96×

valid

Compiler

Compiled 176 to 181 computations (-2.8% saved)

Precisions

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

ival-div!: 10.0ms (55.3% of total)

ival-hypot: 3.0ms (16.6% of total)

adjust: 2.0ms (11.1% of total)

ival-sqrt: 1.0ms (5.5% of total)

ival-mult!: 1.0ms (5.5% of total)

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

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

bsearch14.0ms (0.2%)

Memory

-10.3MiB live, 36.4MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.013059576935508873	40.27981961218147

Samples

6.0ms

112×

valid

Compiler

Compiled 268 to 277 computations (-3.4% saved)

Precisions

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

ival-hypot: 2.0ms (46.5% of total)

ival-sqrt: 1.0ms (23.2% of total)

ival-div!: 1.0ms (23.2% 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)

bsearch4.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.013059576935508873	40.27981961218147

Samples

2.0ms

32×

valid

Compiler

Compiled 268 to 277 computations (-3.4% saved)

Precisions

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

ival-hypot: 1.0ms (84.6% 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)

bsearch33.0ms (0.6%)

Memory

-5.8MiB live, 89.1MiB allocated; 10ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	2.1017844169872864e-80	5.9916444239434205e-71

Samples

22.0ms

144×

valid

Compiler

Compiled 281 to 292 computations (-3.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-hypot: 10.0ms (53.6% of total)

adjust: 3.0ms (16.1% of total)

ival-div!: 2.0ms (10.7% of total)

ival-sqrt: 2.0ms (10.7% of total)

ival-add!: 1.0ms (5.4% of total)

ival-sub!: 1.0ms (5.4% of total)

ival-mult!: 1.0ms (5.4% of total)

derivations260.0ms (4.8%)

Memory

-24.8MiB live, 318.7MiB allocated; 93ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 207 to 104 computations (49.8% saved)

preprocess121.0ms (2.2%)

Memory: 11.6MiB live, 279.1MiB allocated; 75ms collecting garbage
Remove: (abs x)
Compiler: Compiled 911 to 699 computations (23.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (32.7%)

preprocess54.0ms (1%)

series16.0ms (0.3%)

rewrite329.0ms (6%)

eval188.0ms (3.4%)

prune34.0ms (0.6%)

series33.0ms (0.6%)

rewrite354.0ms (6.5%)

eval188.0ms (3.4%)

prune39.0ms (0.7%)

series39.0ms (0.7%)

rewrite265.0ms (4.9%)

eval247.0ms (4.5%)

prune83.0ms (1.5%)

series43.0ms (0.8%)

rewrite291.0ms (5.3%)

eval296.0ms (5.4%)

prune157.0ms (2.9%)

regimes111.0ms (2%)

regimes92.0ms (1.7%)

regimes55.0ms (1%)

regimes49.0ms (0.9%)

regimes32.0ms (0.6%)

regimes39.0ms (0.7%)

regimes47.0ms (0.9%)

regimes10.0ms (0.2%)

regimes56.0ms (1%)

regimes6.0ms (0.1%)

bsearch22.0ms (0.4%)

bsearch8.0ms (0.1%)

bsearch2.0ms (0%)

bsearch34.0ms (0.6%)

bsearch1.0ms (0%)

bsearch26.0ms (0.5%)

bsearch14.0ms (0.2%)

bsearch4.0ms (0.1%)

bsearch33.0ms (0.6%)

derivations260.0ms (4.8%)

preprocess121.0ms (2.2%)

end0.0ms (0%)

Profiling