Metrics for Given's Rotation SVD example, simplified

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

1.2MiB live, 1.3MiB 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)

sample1.9s (37.9%)

Memory

89.4MiB live, 3 876.0MiB allocated; 831ms collecting garbage

Samples

856.0ms	2 926×	2	valid
311.0ms	4 104×	0	valid
217.0ms	1 226×	1	valid

Precisions

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

ival-hypot: 508.0ms (44.6% of total)

adjust: 179.0ms (15.7% of total)

ival-sqrt: 162.0ms (14.2% of total)

ival-div!: 125.0ms (11.0% of total)

ival-mult!: 84.0ms (7.4% of total)

ival-sub!: 45.0ms (3.9% of total)

ival-add!: 38.0ms (3.3% of total)

Bogosity

preprocess46.0ms (0.9%)

Memory

-40.2MiB live, 57.4MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Symmetry

(abs x)

Compiler

Compiled 24 to 18 computations (25.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1
1/2

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

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series23.0ms (0.5%)

Memory

15.6MiB live, 62.6MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	300	1501

Stop Event

1×	iter-limit

Counts

9 → 64

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 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
3.0ms	x	inf
2.0ms	x	0
1.0ms	x	-inf

rewrite232.0ms (4.7%)

Memory

4.5MiB live, 516.9MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	49
0	18	39
1	108	39
2	411	39
3	1418	39
0	4521	36

Stop Event

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

Counts

9 → 1 867

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

eval211.0ms (4.3%)

Memory: 17.6MiB live, 488.6MiB allocated; 67ms collecting garbage
Compiler: Compiled 54 151 to 8 510 computations (84.3% saved)

prune35.0ms (0.7%)

Memory

9.7MiB live, 103.2MiB allocated; 4ms collecting garbage

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	1 912	11	1 923
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 913	11	1 924

Accuracy

100.0%

Counts

1 924 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.9%	(/.f64 (-.f64 (*.f64 #s(literal 1 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) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
▶	78.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
	52.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))))))
▶	51.1%	(-.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))))))
	27.2%	(-.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)))))
▶	53.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	78.0%	(*.f64 (+.f64 #s(literal 1 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)))))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
	47.6%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (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))))))
	49.0%	#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))))))
	47.5%	#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))))))
	49.1%	#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 302 to 114 computations (62.3% saved)

sample0.0ms (0.0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
1/2
-1/2
-1
(* 1 1)

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

Samples

0.0ms

1×

valid

Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series50.0ms (1.0%)

Memory

19.8MiB live, 161.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	696	4850

Stop Event

1×	iter-limit

Counts

28 → 142

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)
(/.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 1/2 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))
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))
(neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.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)))))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(-.f64 (*.f64 #s(literal 1 binary64) #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 (*.f64 #s(literal 1 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) (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))))
(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 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 (/ 1/2 (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 (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) #s(literal -1 binary64))
#s(approx (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))) #s(literal 1 binary64)))
#s(approx (/ 1 (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (/ 1 (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 9/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
#s(approx (/ 1 (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 9/128 binary64) (*.f64 #s(literal -49/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (neg (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 (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 9/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))))
#s(approx (+ 1 (/ 1 (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 9/128 binary64) (*.f64 #s(literal -49/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64))))
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#s(approx (+ 1 (/ 1 (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (+ 1 (/ 1 (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.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)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 7 binary64))))) x)) (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) x) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (* (+ 1 (/ 1 (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))))) (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (fma.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))
#s(approx (* (+ 1 (/ 1 (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))))) (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (fma.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/16 binary64) (.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))))) (/.f64 #s(literal 3/32 binary64) (.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) x))))
#s(approx (* (+ 1 (/ 1 (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))))) (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (fma.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (-.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 (.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)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 7 binary64)))))) x))) (/.f64 #s(literal 1/32 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 6 binary64))))) x))) x))))
#s(approx (- (* 1 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) (- (/ 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) (- (/ 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) (- (/ 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) (- (/ 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 (/ 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))))

Calls

3 calls:

Time	Variable	Point
10.0ms	x	inf
3.0ms	x	0
3.0ms	x	-inf

rewrite175.0ms (3.6%)

Memory

-19.8MiB live, 370.1MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	293
0	57	214
1	325	207
2	1173	205
0	4190	181

Stop Event

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

Counts

28 → 1 065

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

eval150.0ms (3.1%)

Memory: 24.9MiB live, 349.1MiB allocated; 42ms collecting garbage
Compiler: Compiled 51 116 to 5 629 computations (89.0% saved)

prune36.0ms (0.7%)

Memory

-6.7MiB live, 85.4MiB allocated; 6ms collecting garbage

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	1 515	10	1 525
Fresh	2	4	6
Picked	3	2	5
Done	0	0	0
Total	1 520	16	1 536

Accuracy

100.0%

Counts

1 536 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.9%	(/.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)))))
▶	51.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #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)))))
	52.4%	(-.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))))))
✓	78.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
▶	52.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))))
	51.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))
▶	27.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
✓	53.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	78.9%	(*.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 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
	49.0%	(.f64 #s(approx (+ 1 (/ 1 (neg (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 9/128 binary64) (*.f64 #s(literal -49/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 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)))))
	49.1%	(.f64 #s(approx (+ 1 (/ 1 (neg (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2))))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
	53.9%	#s(approx (/ (- (* 1 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)))))
	47.6%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (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))))))
	49.0%	#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))))))
▶	47.5%	#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))))))
	49.1%	#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 418 to 144 computations (65.6% saved)

sample0.0ms (0.0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
1/2
2
1/8
-1/2
-11/128
-1
(* 1 1)

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 -11/128 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 12 to 10 computations (16.7% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series45.0ms (0.9%)

Memory

-32.5MiB live, 72.7MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	534	3662

Stop Event

1×	iter-limit

Counts

38 → 110

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

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

Calls

3 calls:

Time	Variable	Point
9.0ms	x	inf
3.0ms	x	0
3.0ms	x	-inf

rewrite159.0ms (3.2%)

Memory

42.0MiB live, 275.6MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	363
0	78	303
1	427	299
2	1506	299
0	4041	285

Stop Event

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

Counts

38 → 791

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

Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
x
#s(literal 2 binary64)
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.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 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.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 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.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))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/8 binary64)
#s(literal -1/2 binary64)
#s(literal -11/128 binary64)
(.f64 (.f64 #s(literal -11/128 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal -11/128 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal -11/128 binary64) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal -11/128 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -11/128 binary64)))
(.f64 #s(literal -11/128 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -11/128 binary64))
(.f64 x (.f64 x #s(literal -11/128 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 #s(literal 11/128 binary64) (*.f64 x x))) #s(literal 1/8 binary64))) #s(literal 1/8 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 #s(literal -11/128 binary64) (.f64 x x)))) (.f64 #s(literal -11/128 binary64) (*.f64 x x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (.f64 x x)))) (.f64 #s(literal -11/128 binary64) (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 11/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64))) #s(literal 1/8 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -11/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64))) #s(literal 1/8 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (.f64 (neg.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x))) (neg.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x))))) (-.f64 #s(literal 1/8 binary64) (neg.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (.f64 #s(literal -11/128 binary64) (.f64 x x))) (.f64 #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (+.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) #s(literal -1/8 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64) (-.f64 (.f64 (neg.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x))) (neg.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)))) (.f64 #s(literal 1/8 binary64) (neg.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 #s(literal -1/8 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (.f64 #s(literal -11/128 binary64) (.f64 x x)) (fma.f64 #s(literal -1/8 binary64) #s(literal -1/8 binary64) (.f64 (.f64 #s(literal -11/128 binary64) (*.f64 x x)) #s(literal -1/8 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (.f64 #s(literal -11/128 binary64) (.f64 x x))) (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (-.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) (.f64 #s(literal 11/128 binary64) (.f64 x x)))) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 11/128 binary64) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (.f64 #s(literal -11/128 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) (.f64 #s(literal 11/128 binary64) (.f64 x x)) (.f64 #s(literal 1/8 binary64) (.f64 #s(literal 11/128 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (.f64 #s(literal -11/128 binary64) (.f64 x x)))) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64) (-.f64 (.f64 (.f64 #s(literal -11/128 binary64) (.f64 x x)) (.f64 #s(literal -11/128 binary64) (.f64 x x))) (.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (.f64 x x))))))
(neg.f64 (-.f64 #s(literal -1/8 binary64) (.f64 #s(literal -11/128 binary64) (.f64 x x))))
(neg.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)))
(fma.f64 (*.f64 #s(literal -11/128 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 #s(literal -11/128 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 #s(literal -11/128 binary64) x) x #s(literal 1/8 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))
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eval100.0ms (2.0%)

Memory: -23.0MiB live, 158.6MiB allocated; 36ms collecting garbage
Compiler: Compiled 25 369 to 4 111 computations (83.8% saved)

prune19.0ms (0.4%)

Memory

38.5MiB live, 38.5MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	869	6	875
Fresh	4	5	9
Picked	2	3	5
Done	0	2	2
Total	875	16	891

Accuracy

100.0%

Counts

891 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.9%	(/.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)))))
	51.8%	(/.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 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))))
▶	52.4%	(-.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))))))
✓	78.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
✓	52.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))))
	51.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))
✓	27.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
✓	53.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
✓	78.9%	(*.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 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
▶	51.8%	(.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 (-.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))))
	49.0%	(.f64 #s(approx (+ 1 (/ 1 (neg (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 9/128 binary64) (*.f64 #s(literal -49/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 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)))))
▶	53.9%	#s(approx (/ (- (* 1 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)))))
▶	47.5%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 #s(literal 1/8 binary64) x) x (.f64 (.f64 (.f64 #s(literal -11/128 binary64) (*.f64 x x)) x) x)))
	47.6%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (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))))))
	49.0%	#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))))))
	47.5%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

Compiler

Compiled 390 to 143 computations (63.3% saved)

sample5.0ms (0.1%)

Memory

-43.9MiB live, 2.8MiB allocated; 6ms collecting garbage

Calls

Call 1

Inputs
1
1/2
1/8
-1/2
-11/128
(sqrt 1/2)
-1
(+ 1 (sqrt 1/2))
(/ 1/2 (+ 1 (sqrt 1/2)))

Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 1/8 binary64)
#s(literal -1/2 binary64)
#s(literal -11/128 binary64)
#s(literal 6369051672525773/9007199254740992 binary64)
#s(literal -1 binary64)
#s(literal 3844062731816691/2251799813685248 binary64)
#s(literal 5276295164430439/18014398509481984 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 20 to 11 computations (45.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series65.0ms (1.3%)

Memory

31.3MiB live, 76.6MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	727	5888

Stop Event

1×	iter-limit

Counts

39 → 140

Calls

Call 1

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

Outputs
#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 (* x x) (pow.f64 x #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 (sqrt (+ (* x x) 1))) 1/2) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))
#s(approx (- (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
#s(approx (- (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 35/256 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/32 binary64))))) #s(literal 1/4 binary64))))
#s(approx (/ (- (* 1 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) (- (/ 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) (- (/ 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) (- (/ 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 (/ -1/2 x) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (- -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) #s(literal -2 binary64))
#s(approx (- -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (- -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(approx (- -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))) #s(literal 2 binary64)))
#s(approx (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (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 21/512 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/16 binary64)))))
#s(approx (sqrt (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 21/512 binary64) (*.f64 #s(literal -255/8192 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/16 binary64)))))
#s(approx (* -11/128 (* x x)) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (* -11/128 (* x x)) x) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (* (* -11/128 (* x x)) x) x) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* 1/8 x) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) -1) #s(literal 2 binary64))
#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)))
#s(approx (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) -1)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/256 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/32 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) -1)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/256 binary64) (*.f64 #s(literal -117/8192 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/32 binary64))) #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 (+ (* 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 (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 1/4 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 (* (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 1/64 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))))) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 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))))) (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 1/64 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))))) (pow.f64 x #s(literal 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 (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 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))))) (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 #s(literal 1 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 #s(literal 1 binary64) (fma.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 (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)))))) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/4 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 -1/2 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)))))) (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))))) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 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))))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
#s(approx (+ (* (* 1/8 x) x) (* (* (* -11/128 (* x x)) x) x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 11/128 binary64))))
#s(approx (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) -1) (+.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 #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 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) -1) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
#s(approx (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) -1) (-.f64 (+.f64 #s(literal 1 binary64) (+.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 (sqrt (+ (* x x) 1))) -1/2)) -1)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
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#s(approx (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) -1)) (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1/4 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)))))) (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)) (.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 -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 #s(literal 1/32 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 (pow.f64 x #s(literal 3 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 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 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 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 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))))
#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))))
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#s(approx (sqrt (+ (* x x) 1)) (*.f64 #s(literal -1 binary64) x))
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#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))))
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#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 (- (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 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) -1)) (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 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 #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)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 x (.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 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/4 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))))))) x)) (/.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)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (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 (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 -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (.f64 #s(literal 1/32 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)))))))) x)) (fma.f64 #s(literal 1/32 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 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))))) x) (.f64 #s(literal 1/4 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)))))) x)) (/.f64 #s(literal 1 binary64) (+.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 (+.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
11.0ms	x	inf
4.0ms	x	0
4.0ms	x	-inf

rewrite336.0ms (6.8%)

Memory

-46.0MiB live, 213.8MiB allocated; 115ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	432
0	88	328
1	463	316
2	1668	312
0	4082	298

Stop Event

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

Counts

39 → 845

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
x
#s(literal 1/8 binary64)
#s(literal -1/2 binary64)
#s(literal -11/128 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))) (/.f64 #s(literal 1/2 binary64) #s(literal 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))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 4 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 4 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 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 (pow.f64 (sqrt.f64 (.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))))) #s(literal 1 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 1 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)) (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)))
(.f64 (pow.f64 (.f64 (neg.f64 (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 1/2 binary64)))) #s(literal 1 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 1 binary64)))
(.f64 (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 1 binary64)) (pow.f64 (.f64 (neg.f64 (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 1/2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.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))))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.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))))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (neg.f64 (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 1/2 binary64)))) (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
(.f64 (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))))) (.f64 (neg.f64 (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 1/2 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 #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))))))
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(neg.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ ( x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) #s(literal -1 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))) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal -1 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))) #s(literal -1 binary64))) #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) (.f64 (/.f64 #s(literal -1 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))) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(fma.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 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))) #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 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))) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 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 1/2 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))))
(+.f64 (/.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 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 -1/2 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))))
(+.f64 (/.f64 #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(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 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 (.f64 (/.f64 #s(literal -1 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))) #s(literal -1 binary64))) #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (.f64 (/.f64 #s(literal -1 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))) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(+.f64 (.f64 #s(approx (/ 1/2 (sqrt (+ ( x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 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))) #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 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))) #s(literal -1 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal -11/128 binary64) x) x #s(literal 1/8 binary64))))

eval338.0ms (6.9%)

Memory: 5.7MiB live, 194.5MiB allocated; 42ms collecting garbage
Compiler: Compiled 29 344 to 4 160 computations (85.8% saved)

prune93.0ms (1.9%)

Memory

1.7MiB live, 46.7MiB allocated; 6ms collecting garbage

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	912	4	916
Fresh	3	3	6
Picked	1	4	5
Done	0	5	5
Total	916	16	932

Accuracy

100.0%

Counts

932 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.9%	(/.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)))))
	51.8%	(/.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)))))
✓	52.4%	(-.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))))))
✓	78.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
✓	52.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))))
	51.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))
✓	27.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
✓	53.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
✓	78.9%	(*.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 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
✓	51.8%	(.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 (-.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))))
	49.0%	(.f64 #s(approx (+ 1 (/ 1 (neg (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 9/128 binary64) (*.f64 #s(literal -49/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 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)))))
	47.6%	#s(approx (/ (- (* 1 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))))))
	49.0%	#s(approx (/ (- (* 1 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))))))
	53.9%	#s(approx (/ (- (* 1 1) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) #s(literal 5276295164430439/18014398509481984 binary64))
✓	47.5%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 #s(literal 1/8 binary64) x) x (.f64 (.f64 (.f64 #s(literal -11/128 binary64) (*.f64 x x)) x) x)))
	47.5%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

Compiler

Compiled 215 to 76 computations (64.7% saved)

regimes352.0ms (7.2%)

Memory

34.2MiB live, 834.6MiB allocated; 137ms collecting garbage

Counts

2 → 1

8 → 2

11 → 2

13 → 2

19 → 2

21 → 2

26 → 2

30 → 2

32 → 2

Calls

Call 1

Inputs

#s(approx (/ (- (* 1 1) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) #s(literal 5276295164430439/18014398509481984 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 1) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) #s(literal 5276295164430439/18014398509481984 binary64))

Call 2

Inputs
#s(approx (/ (- (* 1 1) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) #s(literal 5276295164430439/18014398509481984 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))))
(-.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) (- (/ 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)))))
(-.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))))))

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 1) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) #s(literal 5276295164430439/18014398509481984 binary64))

Call 3

Inputs
#s(approx (/ (- (* 1 1) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) #s(literal 5276295164430439/18014398509481984 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))))
(-.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) (- (/ 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)))))
(-.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))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) 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(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 1) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) #s(literal 5276295164430439/18014398509481984 binary64))

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

Call 4

Inputs
#s(approx (/ (- (* 1 1) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) #s(literal 5276295164430439/18014398509481984 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))))
(-.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) (- (/ 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)))))
(-.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))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) 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(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 (/.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))))

Outputs

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

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

Call 5

Inputs
#s(approx (/ (- (* 1 1) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) #s(literal 5276295164430439/18014398509481984 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))))
(-.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) (- (/ 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)))))
(-.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))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) 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(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 (/.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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 #s(literal 1/8 binary64) x) x (.f64 (.f64 (.f64 #s(literal -11/128 binary64) (*.f64 x x)) x) x)))
(/.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 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 (-.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 (-.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(literal 1 binary64) #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))))))

Outputs

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

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

Call 6

Inputs
#s(approx (/ (- (* 1 1) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) #s(literal 5276295164430439/18014398509481984 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))))
(-.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) (- (/ 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)))))
(-.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))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) 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(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 (/.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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 #s(literal 1/8 binary64) x) x (.f64 (.f64 (.f64 #s(literal -11/128 binary64) (*.f64 x x)) x) x)))
(/.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 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 (-.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 (-.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(literal 1 binary64) #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 (/.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 (/.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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) x (*.f64 (*.f64 (*.f64 #s(literal -11/128 binary64) (*.f64 x x)) x) x)))

(/.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)))))

Call 7

Inputs
#s(approx (/ (- (* 1 1) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) #s(literal 5276295164430439/18014398509481984 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))))
(-.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) (- (/ 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)))))
(-.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))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) 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(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 (/.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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 #s(literal 1/8 binary64) x) x (.f64 (.f64 (.f64 #s(literal -11/128 binary64) (*.f64 x x)) x) x)))
(/.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 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 (-.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 (-.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(literal 1 binary64) #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 (/.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 (/.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 #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 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(.f64 #s(approx (+ 1 (/ 1 (neg (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2))))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 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) (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 #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)))))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #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)))))))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) x (*.f64 (*.f64 (*.f64 #s(literal -11/128 binary64) (*.f64 x x)) x) x)))

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

Call 8

Inputs
#s(approx (/ (- (* 1 1) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) #s(literal 5276295164430439/18014398509481984 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))))
(-.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) (- (/ 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)))))
(-.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))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) 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(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 (/.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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 #s(literal 1/8 binary64) x) x (.f64 (.f64 (.f64 #s(literal -11/128 binary64) (*.f64 x x)) x) x)))
(/.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 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 (-.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 (-.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(literal 1 binary64) #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 (/.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 (/.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 #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 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(.f64 #s(approx (+ 1 (/ 1 (neg (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2))))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 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) (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 #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)))))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #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 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))))
#s(approx (/ (- (* 1 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))))))
(.f64 #s(approx (+ 1 (/ 1 (neg (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 9/128 binary64) (*.f64 #s(literal -49/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))

Outputs

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

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

Call 9

Inputs
#s(approx (/ (- (* 1 1) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+ 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) #s(literal 5276295164430439/18014398509481984 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))))
(-.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) (- (/ 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)))))
(-.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))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) 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(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 (/.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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 #s(literal 1/8 binary64) x) x (.f64 (.f64 (.f64 #s(literal -11/128 binary64) (*.f64 x x)) x) x)))
(/.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 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 (-.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 (-.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(literal 1 binary64) #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 (/.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 (/.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 #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 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(.f64 #s(approx (+ 1 (/ 1 (neg (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2))))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 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) (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 #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)))))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #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 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))))
#s(approx (/ (- (* 1 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))))))
(.f64 #s(approx (+ 1 (/ 1 (neg (sqrt (- (/ 1/2 (sqrt (+ ( x x) 1))) -1/2))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 9/128 binary64) (*.f64 #s(literal -49/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 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(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 69/1024 binary64) (.f64 #s(literal -1843/32768 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 11/128 binary64))))))
#s(approx (/ (- (* 1 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))))))

Outputs

#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 69/1024 binary64) (*.f64 #s(literal -1843/32768 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 11/128 binary64))))))

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

Calls

63 calls:

20.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
13.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
12.0ms	x
11.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
11.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
53.9%	1	`(hypot.f64 #s(literal 1 binary64) x)`
53.9%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
53.9%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
53.9%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
53.9%	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)))))`
53.9%	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))))))`
53.9%	1	`x`
77.5%	2	`(hypot.f64 #s(literal 1 binary64) x)`
77.5%	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))))))`
77.8%	2	`x`
77.5%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
77.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
77.5%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
77.5%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.0%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.0%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.0%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.0%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.0%	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)))))`
99.0%	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))))))`
99.0%	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`
99.1%	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`
99.9%	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`
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`
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 880 to 449 computations (49.0% saved)

bsearch61.0ms (1.2%)

Memory

-12.4MiB live, 78.5MiB allocated; 29ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
30.0ms	0.00669537190306543	2013.2591296382425

Samples

13.0ms	59×	2	valid
4.0ms	68×	0	valid
2.0ms	17×	1	valid

Compiler

Compiled 443 to 283 computations (36.1% saved)

Precisions

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

ival-hypot: 6.0ms (39.4% of total)

adjust: 2.0ms (13.1% of total)

ival-div!: 2.0ms (13.1% of total)

ival-sqrt: 2.0ms (13.1% of total)

ival-add!: 1.0ms (6.6% of total)

ival-sub!: 1.0ms (6.6% of total)

ival-mult!: 1.0ms (6.6% of total)

bsearch26.0ms (0.5%)

Memory

7.7MiB live, 49.5MiB allocated; 11ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	0.00669537190306543	2013.2591296382425

Samples

8.0ms	13×	1	valid
7.0ms	33×	2	valid
4.0ms	66×	0	valid

Compiler

Compiled 389 to 256 computations (34.2% saved)

Precisions

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

ival-hypot: 4.0ms (41.3% of total)

ival-sqrt: 2.0ms (20.6% of total)

adjust: 1.0ms (10.3% of total)

ival-div!: 1.0ms (10.3% of total)

ival-mult!: 1.0ms (10.3% of total)

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

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

bsearch28.0ms (0.6%)

Memory

14.3MiB live, 56.2MiB allocated; 13ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	8.745737461759319e-7	0.00669537190306543

Samples

15.0ms	39×	2	valid
4.0ms	73×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 324 to 213 computations (34.3% saved)

Precisions

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

ival-mult!: 8.0ms (44.9% of total)

ival-hypot: 5.0ms (28.1% of total)

adjust: 2.0ms (11.2% of total)

ival-sqrt: 2.0ms (11.2% of total)

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

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

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

bsearch2.0ms (0.0%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.745737461759319e-7	0.00669537190306543

Compiler

Compiled 308 to 205 computations (33.4% saved)

bsearch25.0ms (0.5%)

Memory

0.6MiB live, 43.3MiB allocated; 10ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	8.745737461759319e-7	0.00669537190306543

Samples

15.0ms	42×	2	valid
3.0ms	46×	0	valid
1.0ms	8×	1	valid

Compiler

Compiled 228 to 181 computations (20.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sqrt: 8.0ms (48.4% of total)

ival-hypot: 4.0ms (24.2% of total)

adjust: 2.0ms (12.1% of total)

ival-div!: 1.0ms (6.0% of total)

ival-mult!: 1.0ms (6.0% of total)

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

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

bsearch1.0ms (0.0%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.745737461759319e-7	0.00669537190306543

Compiler

Compiled 196 to 165 computations (15.8% saved)

bsearch0.0ms (0.0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.7072823718244196	0.9999943966720746

Compiler

Compiled 29 to 20 computations (31.0% saved)

bsearch59.0ms (1.2%)

Memory

5.4MiB live, 55.6MiB allocated; 32ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
57.0ms	5.121078448835938e-79	1.9273154172988535e-75

Samples

40.0ms	17×	1	valid
8.0ms	40×	2	valid
4.0ms	71×	0	valid

Compiler

Compiled 60 to 77 computations (-28.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-sqrt: 40.0ms (81.1% of total)

ival-hypot: 5.0ms (10.1% of total)

adjust: 2.0ms (4.1% of total)

ival-add!: 1.0ms (2.0% of total)

ival-div!: 1.0ms (2.0% of total)

ival-sub!: 1.0ms (2.0% of total)

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

derivations275.0ms (5.6%)

Memory

8.0MiB live, 236.6MiB allocated; 111ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 268 to 73 computations (72.8% saved)

preprocess99.0ms (2.0%)

Memory: -1.5MiB live, 267.7MiB allocated; 54ms collecting garbage
Compiler: Compiled 872 to 435 computations (50.1% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample1.9s (37.9%)

preprocess46.0ms (0.9%)

sample0.0ms (0.0%)

series23.0ms (0.5%)

rewrite232.0ms (4.7%)

eval211.0ms (4.3%)

prune35.0ms (0.7%)

sample0.0ms (0.0%)

series50.0ms (1.0%)

rewrite175.0ms (3.6%)

eval150.0ms (3.1%)

prune36.0ms (0.7%)

sample0.0ms (0.0%)

series45.0ms (0.9%)

rewrite159.0ms (3.2%)

eval100.0ms (2.0%)

prune19.0ms (0.4%)

sample5.0ms (0.1%)

series65.0ms (1.3%)

rewrite336.0ms (6.8%)

eval338.0ms (6.9%)

prune93.0ms (1.9%)

regimes352.0ms (7.2%)

bsearch61.0ms (1.2%)

bsearch26.0ms (0.5%)

bsearch28.0ms (0.6%)

bsearch2.0ms (0.0%)

bsearch25.0ms (0.5%)

bsearch1.0ms (0.0%)

bsearch0.0ms (0.0%)

bsearch59.0ms (1.2%)

derivations275.0ms (5.6%)

preprocess99.0ms (2.0%)

end0.0ms (0.0%)

Profiling