Metrics for Given's Rotation SVD example, simplified

start0.0ms (0.0%)

Memory: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze1.0ms (0.0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	0
100.0%	100.0%	0.0%	0.0%	0.0%	0.0%	0.0%	1

Compiler

Compiled 19 to 11 computations (42.1% saved)

sample1.6s (39.7%)

Memory

101.5MiB live, 2 995.8MiB allocated; 522ms collecting garbage

Samples

838.0ms	2 859×	2	valid
289.0ms	4 178×	0	valid
171.0ms	1 219×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 858.0ms

ival-hypot!: 237.0ms (27.6% of total, 412.2 MiB)

adjust: 209.0ms (24.4% of total, 346.5 MiB)

ival-div!: 119.0ms (13.9% of total, 224.0 MiB)

ival-sqrt!: 96.0ms (11.2% of total, 229.7 MiB)

ival-mult!: 81.0ms (9.4% of total, 180.5 MiB)

ival-add!: 62.0ms (7.2% of total, 130.2 MiB)

ival-sub!: 55.0ms (6.4% of total, 134.6 MiB)

Bogosity

preprocess120.0ms (3.0%)

Memory

-51.3MiB live, 69.6MiB allocated; 133ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	30
1	118	30
2	330	30
3	1410	30

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.7%	(-.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 (25.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1
1/2

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

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total, 0.0 MiB)

series16.0ms (0.4%)

Memory

43.7MiB live, 43.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	302	1504

Stop Event

1×	iter-limit

Counts

9 → 65

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
x
(hypot.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(+.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))))
(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 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
#s(approx 1 #s(literal 0 binary64))
#s(approx x x)
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(literal 1 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 (/ 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 (+ 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 (* 1/2 (+ 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 (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 (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 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 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 (+ 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 (* 1/2 (+ 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 (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 (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 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)))))))
#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 (+ 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 (* 1/2 (+ 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 (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 (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))))

Calls

3 calls:

Time	Variable	Point
2.0ms	x	inf
1.0ms	x	0
1.0ms	x	-inf

rewrite160.0ms (4.0%)

Memory

-10.2MiB live, 357.6MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	49
0	18	39
1	68	39
2	231	39
3	1156	39
0	5122	39
0	5205	36

Stop Event

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

Counts

9 → 615

Calls

Call 1

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

eval112.0ms (2.8%)

Memory: 39.7MiB live, 316.9MiB allocated; 41ms collecting garbage
Compiler: Compiled 14 284 to 3 188 computations (77.7% saved)

prune34.0ms (0.8%)

Memory

-48.7MiB live, 50.0MiB allocated; 38ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	662	10	672
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	663	10	673

Accuracy

100.0%

Counts

673 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.7%	(fma.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
▶	78.4%	(/.f64 (-.f64 #s(literal 1 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 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)))))
▶	52.7%	(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
▶	77.7%	(-.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))))
	51.6%	(-.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))))))
▶	49.8%	(-.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))))))
	27.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) #s(literal 2 binary64)))))
▶	51.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	48.5%	#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 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
	50.2%	#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 224 to 88 computations (60.7% saved)

sample0.0ms (0.0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
1/2
-1/2
(sqrt 1/2)
-1

Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
#s(literal 6369051672525773/9007199254740992 binary64)
#s(literal -1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 8 to 7 computations (12.5% saved)

Precisions

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

adjust: 0.0ms (0.0% of total, 0.0 MiB)

series34.0ms (0.8%)

Memory

46.4MiB live, 91.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	661	4120

Stop Event

1×	iter-limit

Counts

29 → 134

Calls

Call 1

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

Outputs
#s(approx 1 #s(literal 0 binary64))
#s(approx x x)
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 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 x) (/.f64 #s(literal -1 binary64) x))
#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 (+ (* x x) 1) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 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 (- (/ 1 (sqrt (+ (* x x) 1))) -1) #s(literal 2 binary64))
#s(approx (- (/ 1 (sqrt (+ (* x x) 1))) -1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- (/ 1 (sqrt (+ (* x x) 1))) -1) (+.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 (sqrt (+ (* x x) 1))) -1) (+.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 (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/16 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(literal 1/2 binary64))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (sqrt (- (/ 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 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (sqrt 1/2)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (sqrt 1/2)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (sqrt 1/2)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (sqrt 1/2)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 5/16 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))))))))
#s(approx (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64))))))
#s(approx (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/32 binary64) (.f64 #s(literal -35/256 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/16 binary64))))))
#s(approx (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (+.f64 #s(literal 2 binary64) (*.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 #s(literal 2 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 (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (+.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 11/128 binary64) (*.f64 #s(literal -69/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64)))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 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 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 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 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 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 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 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 (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (sqrt 1/2))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (sqrt 1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (sqrt 1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (sqrt 1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 5/16 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
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#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (sqrt 1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (sqrt 1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (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 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 (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 (+ (* 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 (sqrt (+ (* x x) 1))) -1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt (+ (* x x) 1))) -1) (+.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 (sqrt (+ (* x x) 1))) -1) (+.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 (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))))
#s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x))) 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 (- (/ 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 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (sqrt 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (sqrt 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))))
#s(approx (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (sqrt 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))))
#s(approx (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))))
#s(approx (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))))) x))))
#s(approx (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (+.f64 #s(literal 1 binary64) (+.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 (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 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 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) x)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 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 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (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))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/4 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 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))) x) (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) x)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 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 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (sqrt 1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (sqrt 1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (sqrt 1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))) (sqrt.f64 #s(literal 1/2 binary64))))

Calls

3 calls:

Time	Variable	Point
4.0ms	x	inf
2.0ms	x	0
1.0ms	x	-inf

rewrite176.0ms (4.3%)

Memory

-12.2MiB live, 323.0MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	282
0	58	202
1	194	200
2	603	198
3	3146	198
0	4046	190
0	4331	176

Stop Event

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

Counts

29 → 1 172

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
x
#s(literal -1/2 binary64)
(.f64 (pow.f64 (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))))
(.f64 (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)) (.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))))
(.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))))
(.f64 #s(literal 1 binary64) #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 (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))
(/.f64 #s(literal 1 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)))
(/.f64 #s(literal 1 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)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) (*.f64 (/.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 (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) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) (*.f64 (/.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 #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) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) #s(literal -1 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)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(sin.f64 (acos.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(sin.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(cos.f64 (asin.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(cos.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(literal -1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 0 binary64) (neg.f64 x)))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 0 binary64) (neg.f64 x)))
(.f64 #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 #s(literal 2 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(/.f64 (.f64 #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (.f64 #s(literal -1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))))
(neg.f64 (.f64 #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))))
(fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64) (.f64 #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)))
(fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))))
(fma.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) (.f64 #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 0 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))))
(+.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) (.f64 #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)))
(+.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 0 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (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 (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 (sqrt.f64 (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)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (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 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.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 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (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 4 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (/.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 (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) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (/.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 #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) (pow.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 #s(literal 1 binary64) (pow.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(neg.f64 (*.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 (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fabs.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(fabs.f64 (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
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(fabs.f64 (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))))))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))

eval164.0ms (4.1%)

Memory: 17.3MiB live, 386.6MiB allocated; 71ms collecting garbage
Compiler: Compiled 40 753 to 5 974 computations (85.3% saved)

prune42.0ms (1.0%)

Memory

-24.0MiB live, 123.4MiB allocated; 13ms collecting garbage

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	1 549	11	1 560
Fresh	4	1	5
Picked	3	2	5
Done	0	0	0
Total	1 556	14	1 570

Accuracy

100.0%

Counts

1 570 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.7%	(fma.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
	52.4%	(/.f64 (-.f64 #s(literal 1 binary64) (-.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)))))
	78.4%	(/.f64 #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
▶	52.7%	(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) #s(literal 6369051672525773/9007199254740992 binary64)))
▶	51.0%	(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
✓	77.7%	(-.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))))
	51.6%	(-.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))))
▶	49.8%	(-.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))))
▶	27.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
✓	51.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	78.4%	(*.f64 (/.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 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	52.5%	#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
	48.5%	#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 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))))))
	50.2%	#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 304 to 106 computations (65.1% saved)

sample0.0ms (0.0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
1/2
-1/2
-1
6369051672525773/9007199254740992

Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(literal 6369051672525773/9007199254740992 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 7 to 7 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total, 0.0 MiB)

series41.0ms (1.0%)

Memory

-1.1MiB live, 90.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	875	6155

Stop Event

1×	iter-limit

Counts

33 → 173

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
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 binary64)
(fma.f64 x x #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 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 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)))) #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)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
#s(literal 6369051672525773/9007199254740992 binary64)
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) x)
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #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 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (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 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) #s(literal 6369051672525773/9007199254740992 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) #s(literal 6369051672525773/9007199254740992 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.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 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.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(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 #s(literal 0 binary64))
#s(approx x x)
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 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 (+ (* x x) 1) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 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 (/ 1 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1 (sqrt (+ (* 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 (/ 1 (sqrt (+ (* 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 (sqrt (+ (* x x) 1))) -1) #s(literal 2 binary64))
#s(approx (- (/ 1 (sqrt (+ (* x x) 1))) -1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- (/ 1 (sqrt (+ (* x x) 1))) -1) (+.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 (sqrt (+ (* x x) 1))) -1) (+.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 (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/16 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(literal 1/2 binary64))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (sqrt (- (/ 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 x) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) -1) (+.f64 #s(literal 2 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)) -1) (+.f64 #s(literal 2 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)) -1) (+.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 11/128 binary64) (*.f64 #s(literal -69/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64)))))
#s(approx (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) -1)) #s(literal -1/2 binary64))
#s(approx (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) -1)) (-.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
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#s(approx (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992) (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 6369051672525773/36028797018963968 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
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#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 6369051672525773/36028797018963968 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -6369051672525773/18014398509481984 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 6369051672525773/36028797018963968 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))) (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64)))))
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#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))))
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#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 (+ (* x x) 1) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* x x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
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#s(approx (sqrt (+ (* x x) 1)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
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#s(approx (/ 1 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) (/.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))
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#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))
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#s(approx (* (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) -1)) (- (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (* (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) -1)) (- (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (.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) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) x))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (* (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) -1)) (- (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (.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) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/4 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 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (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))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) x) (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) x))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))))
#s(approx (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 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 x (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) x))))
#s(approx (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 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))))) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -1/2 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)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 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 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (.f64 x (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) x) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) x))))
#s(approx (* (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (-.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 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 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) x) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 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 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) x) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))
#s(approx (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992) (-.f64 #s(literal 6369051672525773/9007199254740992 binary64) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992) (+.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 6369051672525773/18014398509481984 binary64) (.f64 #s(literal 6369051672525773/72057594037927936 binary64) (/.f64 #s(literal 1 binary64) x))) x))))
#s(approx (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992) (+.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 6369051672525773/18014398509481984 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 19107155017577319/144115188075855872 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 6369051672525773/72057594037927936 binary64)) x))) x))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (+.f64 #s(literal 2638147582215219/9007199254740992 binary64) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (+.f64 #s(literal 2638147582215219/9007199254740992 binary64) (+.f64 (/.f64 #s(literal 6369051672525773/72057594037927936 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (+.f64 #s(literal 2638147582215219/9007199254740992 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 6369051672525773/72057594037927936 binary64) (*.f64 #s(literal 19107155017577319/144115188075855872 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 6369051672525773/18014398509481984 binary64)) x))))
#s(approx (- 1 (* (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (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)))))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))
#s(approx (- 1 (* (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 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 1/64 binary64) (.f64 x (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))
#s(approx (- 1 (* (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (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 (-.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))))) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 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 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 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))))

Calls

3 calls:

Time	Variable	Point
4.0ms	x	inf
2.0ms	x	0
2.0ms	x	-inf

rewrite148.0ms (3.7%)

Memory

27.9MiB live, 210.1MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	368
0	67	246
1	201	244
2	611	244
3	2768	244
0	4256	244
0	4512	228

Stop Event

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

Counts

33 → 1 100

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
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 binary64)
(fma.f64 x x #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 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 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)))) #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)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
#s(literal 6369051672525773/9007199254740992 binary64)
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) x)
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #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 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (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 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) #s(literal 6369051672525773/9007199254740992 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) #s(literal 6369051672525773/9007199254740992 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.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 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.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(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(literal 1 binary64)
#s(literal 1/2 binary64)
x
#s(literal -1/2 binary64)
(.f64 (sqrt.f64 (fabs.f64 (.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))))) (sqrt.f64 (sqrt.f64 (.f64 (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))))))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (sqrt.f64 (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))))) (sqrt.f64 (sqrt.f64 (.f64 (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))))))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (neg.f64 (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))))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (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(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (sqrt.f64 (.f64 (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(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (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))))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(.f64 (pow.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)) (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 (.f64 (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)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (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))))) (sqrt.f64 (fabs.f64 (.f64 (neg.f64 (sqrt.f64 (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))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (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))))) (sqrt.f64 (fabs.f64 (.f64 (sqrt.f64 (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))))))
(.f64 (neg.f64 (sqrt.f64 (.f64 (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))))) (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
(.f64 (sqrt.f64 (.f64 (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)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))) (sqrt.f64 (fabs.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (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(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))) (sqrt.f64 (fabs.f64 (.f64 (sqrt.f64 (.f64 (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(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (.f64 (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)))) (sqrt.f64 (sqrt.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 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))) (neg.f64 (sqrt.f64 (.f64 (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))))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (fabs.f64 (.f64 (neg.f64 (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))))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (fabs.f64 (.f64 (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))))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 (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)))))
(.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))))
(.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
(pow.f64 (.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))) (.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 1/4 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 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) #s(literal 4 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))
(/.f64 #s(literal 1 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)))
(/.f64 #s(literal 1 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)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 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)))
(/.f64 #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 binary64)))
(neg.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (.f64 (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)))))))
(neg.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (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))))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
(neg.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)))))
(neg.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))))))
(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 (neg.f64 #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 binary64)
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (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)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (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 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.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 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (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 4 binary64))
(/.f64 #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 -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.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 #s(literal 1 binary64) (pow.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 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(neg.f64 (*.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 (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
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(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(+.f64 (+.f64 (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 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 binary64)))) #s(literal 0 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 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 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 binary64)))))
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ ( x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) #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 (neg.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ ( x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))))
(.f64 (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(literal 1 binary64) (-.f64 #s(approx (/ 1/2 (sqrt (+ ( x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))
(pow.f64 (.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(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 #s(approx (/ 1/2 (sqrt (+ ( x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (.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(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))))
(-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (neg.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))))
(sqrt.f64 (.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))))
(fabs.f64 (.f64 (neg.f64 (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)))))
(fabs.f64 (.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ ( x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))))
(fabs.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))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
(.f64 (sqrt.f64 (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 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))))
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 (.f64 #s(approx (/ 1/2 (sqrt (+ ( x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (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)))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))))
(fabs.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (-.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (neg.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 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))))
(+.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(+.f64 (-.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)))) #s(literal 0 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (neg.f64 (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 1/2 binary64) (-.f64 #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(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (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) (-.f64 #s(literal 0 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) (neg.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))))

eval157.0ms (3.9%)

Memory: 5.4MiB live, 346.4MiB allocated; 62ms collecting garbage
Compiler: Compiled 36 266 to 6 678 computations (81.6% saved)

prune37.0ms (0.9%)

Memory

-0.8MiB live, 86.6MiB allocated; 10ms collecting garbage

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	1 373	7	1 380
Fresh	2	5	7
Picked	2	3	5
Done	1	1	2
Total	1 378	16	1 394

Accuracy

100.0%

Counts

1 394 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.7%	(fma.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) #s(literal -6369051672525773/9007199254740992 binary64) #s(literal 1 binary64))
	52.4%	(/.f64 (-.f64 #s(literal 1 binary64) (-.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)))))
▶	78.4%	(/.f64 #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
✓	51.0%	(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
✓	77.7%	(-.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))))
▶	51.6%	(-.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))))
✓	49.8%	(-.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))))
✓	27.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
	50.5%	(.f64 (/.f64 #s(literal -1 binary64) (-.f64 (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 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( x x) 1)) (*.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))
	38.3%	(.f64 #s(approx (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2)) -1)) #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)))
	52.5%	#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
	48.5%	#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 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))))))
▶	50.2%	#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
	51.2%	#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (-.f64 #s(literal 2638147582215219/9007199254740992 binary64) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x))))
▶	51.2%	#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (+.f64 #s(literal 2638147582215219/9007199254740992 binary64) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x))))
▶	51.7%	#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) #s(literal 2638147582215219/9007199254740992 binary64))

Compiler

Compiled 291 to 116 computations (60.1% saved)

sample1.0ms (0.0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
1/2
2
1/8
-1/2
-1
6369051672525773/18014398509481984
2638147582215219/9007199254740992

Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1/8 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(literal 6369051672525773/18014398509481984 binary64)
#s(literal 2638147582215219/9007199254740992 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 10 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total, 0.0 MiB)

series49.0ms (1.2%)

Memory

-5.1MiB live, 46.7MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	601	3866

Stop Event

1×	iter-limit

Counts

31 → 109

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
x
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 1/8 binary64)
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal -1 binary64)
(fma.f64 x x #s(literal 1 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 (/.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)))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 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)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.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(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))))
#s(literal 6369051672525773/18014398509481984 binary64)
(*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 2638147582215219/9007199254740992 binary64)
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) #s(literal 2638147582215219/9007199254740992 binary64))
(+.f64 #s(literal 2638147582215219/9007199254740992 binary64) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (+.f64 #s(literal 2638147582215219/9007199254740992 binary64) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x))))

Outputs
#s(approx 1 #s(literal 0 binary64))
#s(approx x x)
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* 1/8 (pow x 2)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
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#s(approx (sqrt (+ (* x x) 1)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
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#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) x)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 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 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (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))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/4 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 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))) x) (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) x)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 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 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) -1) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) -1) (+.f64 #s(literal 1 binary64) (+.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)) -1) (+.f64 #s(literal 1 binary64) (+.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 (/ 1/2 (sqrt (+ (* x x) 1)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))))
#s(approx (- 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))))) x))))
#s(approx (/ (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) -1) (- 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (/ (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) -1) (- 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/16 binary64) (.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (/ (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) -1) (- 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 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 5 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))) x)) (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (+.f64 #s(literal 2638147582215219/9007199254740992 binary64) (+.f64 (/.f64 #s(literal 6369051672525773/72057594037927936 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (+.f64 #s(literal 2638147582215219/9007199254740992 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 6369051672525773/72057594037927936 binary64) (*.f64 #s(literal 19107155017577319/144115188075855872 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 6369051672525773/18014398509481984 binary64)) x))))

Calls

3 calls:

Time	Variable	Point
2.0ms	x	inf
2.0ms	x	0
1.0ms	x	-inf

rewrite153.0ms (3.8%)

Memory

-12.3MiB live, 266.9MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	259
0	67	215
1	194	209
2	665	209
3	3359	209
0	4104	209
0	4282	197

Stop Event

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

Counts

31 → 862

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
x
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 1/8 binary64)
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal -1 binary64)
(fma.f64 x x #s(literal 1 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 (/.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)))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 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)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.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(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))))
#s(literal 6369051672525773/18014398509481984 binary64)
(*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 2638147582215219/9007199254740992 binary64)
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) #s(literal 2638147582215219/9007199254740992 binary64))
(+.f64 #s(literal 2638147582215219/9007199254740992 binary64) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (+.f64 #s(literal 2638147582215219/9007199254740992 binary64) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x))))

Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
x
#s(literal 2 binary64)
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1 binary64))) (fabs.f64 x))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x (pow.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(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))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
#s(literal 1/8 binary64)
#s(literal -1/2 binary64)
(.f64 (.f64 #s(literal 1/8 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 1 binary64))) x)
(.f64 (.f64 (fabs.f64 x) #s(literal 1/8 binary64)) (fabs.f64 x))
(.f64 (.f64 (neg.f64 x) #s(literal 1/8 binary64)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/8 binary64) x) x)
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 x #s(literal 1 binary64)) (.f64 #s(literal 1/8 binary64) x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/8 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/8 binary64)))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(.f64 x (.f64 #s(literal 1/8 binary64) x))
(neg.f64 (.f64 x (.f64 (neg.f64 x) #s(literal 1/8 binary64))))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/8 binary64)))
(neg.f64 (.f64 (.f64 (neg.f64 x) #s(literal 1/8 binary64)) x))
(neg.f64 (.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 x) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
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#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (-.f64 (/.f64 #s(literal 6369051672525773/18014398509481984 binary64) x) #s(literal -2638147582215219/9007199254740992 binary64)))

eval99.0ms (2.5%)

Memory: 9.3MiB live, 194.5MiB allocated; 41ms collecting garbage
Compiler: Compiled 29 597 to 3 491 computations (88.2% saved)

prune27.0ms (0.7%)

Memory

-1.8MiB live, 44.1MiB allocated; 5ms collecting garbage

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	947	2	949
Fresh	0	7	7
Picked	2	3	5
Done	1	3	4
Total	950	15	965

Accuracy

100.0%

Counts

965 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.7%	(fma.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) #s(literal -6369051672525773/9007199254740992 binary64) #s(literal 1 binary64))
	52.4%	(/.f64 (-.f64 #s(literal 1 binary64) (-.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)))))
✓	78.4%	(/.f64 #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
✓	77.7%	(-.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))))
✓	51.6%	(-.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))))
✓	49.8%	(-.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))))
✓	27.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
	50.5%	(.f64 (/.f64 #s(literal -1 binary64) (-.f64 (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 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( x x) 1)) (*.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))
	38.3%	(.f64 #s(approx (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2)) -1)) #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)))
	52.5%	#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
	48.5%	#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 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))))))
	50.2%	#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
	51.2%	#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (-.f64 (/.f64 #s(literal 6369051672525773/18014398509481984 binary64) x) #s(literal -2638147582215219/9007199254740992 binary64)))
	51.2%	#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (-.f64 #s(literal 2638147582215219/9007199254740992 binary64) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x))))
✓	51.7%	#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) #s(literal 2638147582215219/9007199254740992 binary64))

Compiler

Compiled 151 to 63 computations (58.3% saved)

regimes521.0ms (12.9%)

Memory

-27.6MiB live, 591.5MiB allocated; 99ms collecting garbage

Counts

2 → 1

3 → 2

6 → 2

15 → 2

22 → 2

25 → 2

26 → 2

29 → 2

31 → 2

Calls

Call 1

Inputs

#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) #s(literal 2638147582215219/9007199254740992 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
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) #s(literal 2638147582215219/9007199254740992 binary64))

Call 2

Inputs

#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) #s(literal 2638147582215219/9007199254740992 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 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))

Outputs

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

#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) #s(literal 2638147582215219/9007199254740992 binary64))

Call 3

Inputs
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) #s(literal 2638147582215219/9007199254740992 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 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (-.f64 (/.f64 #s(literal 6369051672525773/18014398509481984 binary64) x) #s(literal -2638147582215219/9007199254740992 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) #s(literal 2 binary64)))))

Outputs

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

#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) #s(literal 2638147582215219/9007199254740992 binary64))

Call 4

Inputs
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) #s(literal 2638147582215219/9007199254740992 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 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (-.f64 (/.f64 #s(literal 6369051672525773/18014398509481984 binary64) x) #s(literal -2638147582215219/9007199254740992 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) #s(literal 2 binary64)))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (+.f64 #s(literal 2638147582215219/9007199254740992 binary64) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (-.f64 #s(literal 2638147582215219/9007199254740992 binary64) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
(-.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(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 (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2)) -1)) #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)))

Outputs

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

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

Call 5

Inputs
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) #s(literal 2638147582215219/9007199254740992 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 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (-.f64 (/.f64 #s(literal 6369051672525773/18014398509481984 binary64) x) #s(literal -2638147582215219/9007199254740992 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) #s(literal 2 binary64)))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (+.f64 #s(literal 2638147582215219/9007199254740992 binary64) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (-.f64 #s(literal 2638147582215219/9007199254740992 binary64) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
(-.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(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 (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2)) -1)) #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 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) #s(literal -6369051672525773/9007199254740992 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) #s(literal 6369051672525773/9007199254740992 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))

Outputs

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

Call 6

Inputs
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) #s(literal 2638147582215219/9007199254740992 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 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (-.f64 (/.f64 #s(literal 6369051672525773/18014398509481984 binary64) x) #s(literal -2638147582215219/9007199254740992 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) #s(literal 2 binary64)))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (+.f64 #s(literal 2638147582215219/9007199254740992 binary64) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (-.f64 #s(literal 2638147582215219/9007199254740992 binary64) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
(-.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(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 (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2)) -1)) #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 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) #s(literal -6369051672525773/9007199254740992 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) #s(literal 6369051672525773/9007199254740992 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (-.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) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 (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 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( x x) 1)) (*.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))

Outputs

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

(/.f64 (-.f64 #s(literal 1 binary64) (-.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)))))

Call 7

Inputs
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) #s(literal 2638147582215219/9007199254740992 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 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (-.f64 (/.f64 #s(literal 6369051672525773/18014398509481984 binary64) x) #s(literal -2638147582215219/9007199254740992 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) #s(literal 2 binary64)))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (+.f64 #s(literal 2638147582215219/9007199254740992 binary64) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (-.f64 #s(literal 2638147582215219/9007199254740992 binary64) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
(-.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(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 (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2)) -1)) #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 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) #s(literal -6369051672525773/9007199254740992 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) #s(literal 6369051672525773/9007199254740992 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (-.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) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 (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 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( x x) 1)) (*.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 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 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))

Outputs

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

(/.f64 (-.f64 #s(literal 1 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 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)))))

Call 8

Inputs
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) #s(literal 2638147582215219/9007199254740992 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 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (-.f64 (/.f64 #s(literal 6369051672525773/18014398509481984 binary64) x) #s(literal -2638147582215219/9007199254740992 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) #s(literal 2 binary64)))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (+.f64 #s(literal 2638147582215219/9007199254740992 binary64) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (-.f64 #s(literal 2638147582215219/9007199254740992 binary64) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
(-.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(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 (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2)) -1)) #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 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) #s(literal -6369051672525773/9007199254740992 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) #s(literal 6369051672525773/9007199254740992 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (-.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) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 (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 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( x x) 1)) (*.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 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 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (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 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(/.f64 #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))

Outputs

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

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

Call 9

Inputs
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) #s(literal 2638147582215219/9007199254740992 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 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (-.f64 (/.f64 #s(literal 6369051672525773/18014398509481984 binary64) x) #s(literal -2638147582215219/9007199254740992 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ ( 1 1) (* x x))))) #s(literal 2 binary64)))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (+.f64 #s(literal 2638147582215219/9007199254740992 binary64) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 (* (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) 6369051672525773/9007199254740992)) (-.f64 #s(literal 2638147582215219/9007199254740992 binary64) (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
(-.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(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 (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2)) -1)) #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 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) #s(literal -6369051672525773/9007199254740992 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) #s(literal 6369051672525773/9007199254740992 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (-.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) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 (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 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( x x) 1)) (*.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 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 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (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 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(/.f64 #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- 1 (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 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))))))

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 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))

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

Calls

63 calls:

49.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
48.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
45.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
41.0ms	(-.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))))))
38.0ms	x

Results

Accuracy	Segments	Branch
51.7%	1	`(hypot.f64 #s(literal 1 binary64) x)`
51.7%	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))))))`
51.7%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
51.7%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
51.7%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
51.7%	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)))))`
51.7%	1	`x`
76.2%	2	`(hypot.f64 #s(literal 1 binary64) x)`
76.2%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
76.2%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
76.2%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
76.2%	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)))))`
76.2%	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))))))`
76.4%	2	`x`
97.7%	2	`(hypot.f64 #s(literal 1 binary64) x)`
97.7%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
97.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
97.7%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
97.7%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
97.7%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
97.7%	2	`x`
98.5%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.5%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.5%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.5%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.5%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.5%	2	`x`
99.1%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.1%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.1%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.1%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.1%	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)))))`
99.1%	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))))))`
99.1%	2	`x`
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`
99.8%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.8%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.8%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.8%	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)))))`
99.8%	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))))))`
99.8%	2	`x`
99.9%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.9%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.9%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.9%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.9%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.9%	2	`x`
100.0%	2	`(hypot.f64 #s(literal 1 binary64) x)`
100.0%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
100.0%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
100.0%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
100.0%	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)))))`
100.0%	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))))))`
100.0%	2	`x`

Compiler

Compiled 769 to 432 computations (43.8% saved)

bsearch25.0ms (0.6%)

Memory

3.2MiB live, 53.0MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	2.53323989735623e-5	1.2013725494162928

Samples

12.0ms	46×	2	valid
3.0ms	61×	0	valid
2.0ms	21×	1	valid

Compiler

Compiled 300 to 189 computations (37.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

adjust: 6.0ms (43.6% of total, 4.6 MiB)

ival-hypot!: 3.0ms (21.8% of total, 6.5 MiB)

ival-add!: 1.0ms (7.3% of total, 1.7 MiB)

ival-div!: 1.0ms (7.3% of total, 3.1 MiB)

ival-sqrt!: 1.0ms (7.3% of total, 3.8 MiB)

ival-sub!: 1.0ms (7.3% of total, 1.5 MiB)

ival-mult!: 1.0ms (7.3% of total, 2.2 MiB)

bsearch20.0ms (0.5%)

Memory

6.0MiB live, 51.5MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.53323989735623e-5	1.2013725494162928

Samples

6.0ms	33×	2	valid
6.0ms	61×	0	valid
2.0ms	18×	1	valid

Compiler

Compiled 252 to 157 computations (37.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub!: 3.0ms (28.4% of total, 1.9 MiB)

ival-hypot!: 2.0ms (18.9% of total, 5.5 MiB)

adjust: 1.0ms (9.5% of total, 3.8 MiB)

ival-add!: 1.0ms (9.5% of total, 1.9 MiB)

ival-div!: 1.0ms (9.5% of total, 3.2 MiB)

ival-sqrt!: 1.0ms (9.5% of total, 3.1 MiB)

ival-mult!: 1.0ms (9.5% of total, 2.0 MiB)

bsearch1.0ms (0.0%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.53323989735623e-5	1.2013725494162928

Compiler

Compiled 252 to 141 computations (44.0% saved)

bsearch20.0ms (0.5%)

Memory

1.6MiB live, 46.9MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.2013725494162928	103.79962277970421

Samples

9.0ms	34×	2	valid
4.0ms	69×	0	valid
1.0ms	9×	1	valid

Compiler

Compiled 167 to 111 computations (33.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add!: 4.0ms (38.5% of total, 1.8 MiB)

ival-hypot!: 2.0ms (19.2% of total, 4.6 MiB)

adjust: 1.0ms (9.6% of total, 3.7 MiB)

ival-div!: 1.0ms (9.6% of total, 2.4 MiB)

ival-sqrt!: 1.0ms (9.6% of total, 2.9 MiB)

ival-sub!: 1.0ms (9.6% of total, 1.7 MiB)

ival-mult!: 1.0ms (9.6% of total, 2.1 MiB)

bsearch1.0ms (0.0%)

Memory

4.0MiB live, 4.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.53323989735623e-5	1.2013725494162928

Compiler

Compiled 156 to 125 computations (19.9% saved)

bsearch13.0ms (0.3%)

Memory

-16.6MiB live, 28.9MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.2013725494162928	103.79962277970421

Samples

4.0ms	7×	1	valid
3.0ms	17×	2	valid
2.0ms	40×	0	valid

Compiler

Compiled 97 to 76 computations (21.6% saved)

Precisions

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

ival-div!: 3.0ms (42.7% of total, 2.0 MiB)

adjust: 1.0ms (14.2% of total, 2.1 MiB)

ival-hypot!: 1.0ms (14.2% of total, 2.9 MiB)

ival-sqrt!: 1.0ms (14.2% of total, 1.5 MiB)

ival-add!: 0.0ms (0.0% of total, 1.0 MiB)

ival-sub!: 0.0ms (0.0% of total, 0.9 MiB)

ival-mult!: 0.0ms (0.0% of total, 1.5 MiB)

bsearch1.0ms (0.0%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2013725494162928	103.79962277970421

Compiler

Compiled 62 to 48 computations (22.6% saved)

bsearch26.0ms (0.6%)

Memory

5.1MiB live, 59.3MiB allocated; 11ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.2006954020959938e-79	2.1558692761334988e-75

Samples

14.0ms	47×	2	valid
3.0ms	65×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 60 to 45 computations (25.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sub!: 6.0ms (40.8% of total, 1.8 MiB)

ival-hypot!: 3.0ms (20.4% of total, 6.2 MiB)

adjust: 2.0ms (13.6% of total, 5.9 MiB)

ival-add!: 1.0ms (6.8% of total, 2.3 MiB)

ival-div!: 1.0ms (6.8% of total, 4.2 MiB)

ival-sqrt!: 1.0ms (6.8% of total, 4.0 MiB)

ival-mult!: 1.0ms (6.8% of total, 3.1 MiB)

derivations141.0ms (3.5%)

Memory

-11.4MiB live, 175.7MiB allocated; 16ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 186 to 57 computations (69.4% saved)

preprocess100.0ms (2.5%)

Memory: 23.2MiB live, 202.4MiB allocated; 43ms collecting garbage
Compiler: Compiled 608 to 313 computations (48.5% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze1.0ms (0.0%)

sample1.6s (39.7%)

preprocess120.0ms (3.0%)

sample0.0ms (0.0%)

series16.0ms (0.4%)

rewrite160.0ms (4.0%)

eval112.0ms (2.8%)

prune34.0ms (0.8%)

sample0.0ms (0.0%)

series34.0ms (0.8%)

rewrite176.0ms (4.3%)

eval164.0ms (4.1%)

prune42.0ms (1.0%)

sample0.0ms (0.0%)

series41.0ms (1.0%)

rewrite148.0ms (3.7%)

eval157.0ms (3.9%)

prune37.0ms (0.9%)

sample1.0ms (0.0%)

series49.0ms (1.2%)

rewrite153.0ms (3.8%)

eval99.0ms (2.5%)

prune27.0ms (0.7%)

regimes521.0ms (12.9%)

bsearch25.0ms (0.6%)

bsearch20.0ms (0.5%)

bsearch1.0ms (0.0%)

bsearch20.0ms (0.5%)

bsearch1.0ms (0.0%)

bsearch13.0ms (0.3%)

bsearch1.0ms (0.0%)

bsearch26.0ms (0.6%)

derivations141.0ms (3.5%)

preprocess100.0ms (2.5%)

end0.0ms (0.0%)

Profiling