Metrics for 2isqrt (example 3.6)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
0%	0%	25%	75%	0%	0%	0%	1
50%	12.5%	12.5%	75%	0%	0%	0%	2
75%	18.7%	6.2%	75%	0%	0%	0%	3
87.5%	21.9%	3.1%	75%	0%	0%	0%	4
93.8%	23.4%	1.6%	75%	0%	0%	0%	5
96.9%	24.2%	0.8%	75%	0%	0%	0%	6
98.4%	24.6%	0.4%	75%	0%	0%	0%	7
99.2%	24.8%	0.2%	75%	0%	0%	0%	8
99.6%	24.9%	0.1%	75%	0%	0%	0%	9
99.8%	24.9%	0%	75%	0%	0%	0%	10
99.9%	25%	0%	75%	0%	0%	0%	11
100%	25%	0%	75%	0%	0%	0%	12

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.6s (23.7%)

Memory

33.3MiB live, 1 898.5MiB allocated; 464ms collecting garbage

Samples

896.0ms	6 140×	1	valid
398.0ms	2 002×	2	valid
7.0ms	114×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 995.0ms

ival-sqrt: 354.0ms (35.6% of total)

adjust: 271.0ms (27.2% of total)

ival-div!: 269.0ms (27% of total)

ival-add!: 57.0ms (5.7% of total)

ival-sub!: 44.0ms (4.4% of total)

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

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

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

Bogosity

preprocess51.0ms (0.7%)

Memory

-15.8MiB live, 28.1MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	33
1	74	27
2	341	27
3	2287	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.9%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Symmetry

(abs x)

(negabs x)

Compiler

Compiled 22 to 16 computations (27.3% saved)

series111.0ms (1.6%)

Memory

16.0MiB live, 114.5MiB allocated; 25ms collecting garbage

Counts

8 → 40

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x))
#s(approx (sqrt (+ x 1)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (+ x 1)) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ x 1)) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (+ x 1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt x) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 1 (sqrt (+ x 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x)))
#s(approx (sqrt (+ x 1)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ x 1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ x 1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))

Calls

3 calls:

Time	Variable	Point
3.0ms	x	-inf
2.0ms	x	inf
1.0ms	x	0

rewrite123.0ms (1.8%)

Memory

18.1MiB live, 150.5MiB allocated; 25ms collecting garbage

Counts

8 → 27

Calls

Call 1

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

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

eval6.0ms (0.1%)

Memory: 14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 604 to 308 computations (80.8% saved)

prune89.0ms (1.3%)

Memory

-45.1MiB live, 27.4MiB allocated; 174ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	47	15	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	15	63

Accuracy

66.1%

Counts

63 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	36.1%	(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	42.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
▶	43.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
	42.9%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	42.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
▶	5.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
▶	34.2%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
	6.2%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)))
▶	2.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
	35.3%	(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	22.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
	23.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
	27.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
	29.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
	3.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))

Compiler

Compiled 794 to 542 computations (31.7% saved)

series156.0ms (2.3%)

Memory

18.4MiB live, 204.4MiB allocated; 63ms collecting garbage

Counts

33 → 72

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (/ 1 (pow (- x -1) 1/2)) #s(literal 1 binary64))
#s(approx (/ 1 (pow (- x -1) 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (pow (- x -1) 1/2)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (pow (- x -1) 1/2)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (pow (- x -1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (pow (- x -1) 1/2) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))))
#s(approx (pow (- x -1) 1/2) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (-.f64 (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1/8 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))))) (fma.f64 #s(literal -1/8 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) (.f64 #s(literal 1/16 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))))) (fma.f64 #s(literal -1/8 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (-.f64 (fma.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 x (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (-.f64 (fma.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 x (sqrt.f64 x))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt x)) (sqrt (- x -1))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (* (/ 1 (sqrt x)) (sqrt (- x -1))) (fma.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 x (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (* (/ 1 (sqrt x)) (sqrt (- x -1))) (fma.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 x (sqrt.f64 x))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x))))
#s(approx (/ 1 (* (pow x 2) (sqrt (/ 1 x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
#s(approx (* (pow x 2) (sqrt (/ 1 x))) (*.f64 x (sqrt.f64 x)))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ 1 (pow (- x -1) 1/2)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x))
#s(approx (/ 1 (pow (- x -1) 1/2)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x))
#s(approx (/ 1 (pow (- x -1) 1/2)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x))
#s(approx (pow (- x -1) 1/2) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (pow (- x -1) 1/2) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (pow (- x -1) 1/2) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 8 binary64))))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (/ 1 (sqrt x)) (sqrt (- x -1))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))
#s(approx (* (/ 1 (sqrt x)) (sqrt (- x -1))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))))
#s(approx (* (/ 1 (sqrt x)) (sqrt (- x -1))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))))
#s(approx (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 1 (* (pow x 2) (sqrt (/ 1 x)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (pow x 2) (sqrt (/ 1 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt x) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 1 (pow (- x -1) 1/2)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)))
#s(approx (/ 1 (pow (- x -1) 1/2)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x)))
#s(approx (/ 1 (pow (- x -1) 1/2)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x)))
#s(approx (pow (- x -1) 1/2) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (pow (- x -1) 1/2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (pow (- x -1) 1/2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))

Calls

3 calls:

Time	Variable	Point
8.0ms	x	-inf
5.0ms	x	0
4.0ms	x	inf

rewrite495.0ms (7.2%)

Memory

30.2MiB live, 729.4MiB allocated; 198ms collecting garbage

Counts

33 → 1 121

Calls

Call 1

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

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

eval414.0ms (6.1%)

Memory: 12.5MiB live, 435.2MiB allocated; 107ms collecting garbage
Compiler: Compiled 50 262 to 7 431 computations (85.2% saved)

prune82.0ms (1.2%)

Memory

-12.2MiB live, 125.3MiB allocated; 17ms collecting garbage

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	1 809	29	1 838
Fresh	8	2	10
Picked	4	1	5
Done	0	0	0
Total	1 821	32	1 853

Accuracy

81.6%

Counts

1 853 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))))
	7.6%	(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
▶	42.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
	8.1%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	8.2%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))
	26.8%	(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	42.9%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
	26.8%	(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
	42.8%	(/.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	42.9%	(/.f64 (-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
	7.2%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x x))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	5.5%	(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	42.9%	(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal -1 binary64) x))
	42.8%	(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	42.9%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	22.9%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 8 binary64))))))) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	28.5%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	43.2%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
▶	79.1%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	42.9%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	5.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
▶	31.9%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (.f64 x #s(approx (+ (sqrt (/ 1 x)) ( 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
	8.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (fma.f64 x x x))))
✓	2.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
▶	35.3%	(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	7.9%	(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))))
	42.8%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)))
	22.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
	23.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
	27.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
	29.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
▶	3.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))

Compiler

Compiled 1 593 to 1 036 computations (35% saved)

series291.0ms (4.3%)

Memory

-10.8MiB live, 280.6MiB allocated; 119ms collecting garbage

Counts

39 → 125

Calls

Call 1

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

Outputs
#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (-.f64 (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1/8 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))))) (fma.f64 #s(literal -1/8 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) (.f64 #s(literal 1/16 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))))) (fma.f64 #s(literal -1/8 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (-.f64 (fma.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 x (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (-.f64 (fma.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 x (sqrt.f64 x))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (* (pow x 2) (pow (sqrt (/ 1 x)) 2)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (pow (sqrt (/ 1 x)) 2) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (- x -1)) #s(literal 1 binary64))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (* 1/2 x) (/ 1 (sqrt x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (+ (* 1/2 x) (/ 1 (sqrt x))) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x (-.f64 (.f64 x (-.f64 (+.f64 #s(literal 5/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) (+.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* x x) x))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ 1 (sqrt (+ (* x x) x))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ 1 (sqrt (+ (* x x) x))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 7 binary64))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ (* x x) x)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))))
#s(approx (sqrt (+ (* x x) x)) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (+ (* x x) x)) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (+ (* x x) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (neg (sqrt (/ x (+ (* x x) x)))) #s(literal -1 binary64))
#s(approx (neg (sqrt (/ x (+ (* x x) x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
#s(approx (neg (sqrt (/ x (+ (* x x) x)))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/8 binary64) x))) #s(literal 1 binary64)))
#s(approx (neg (sqrt (/ x (+ (* x x) x)))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64))))) #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (/ x (+ (* x x) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ x (+ (* x x) x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
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#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (sqrt (- x -1)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (- x -1)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (- x -1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- x -1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1/2 binary64)))))
#s(approx (+ (* 1/2 x) (/ 1 (sqrt x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 1 (sqrt (+ x 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x)))
#s(approx (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (.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 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (/.f64 #s(literal 1/8 binary64) (.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (/ 1 (sqrt (+ (* x x) x))) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* x x) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))
#s(approx (/ 1 (sqrt (+ (* x x) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x)))
#s(approx (/ 1 (sqrt (+ (* x x) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x))) x)))
#s(approx (sqrt (+ (* x x) x)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x 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) x))))))
#s(approx (sqrt (+ (* x x) x)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x))))))
#s(approx (sqrt (+ (* x x) x)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)) x))))))
#s(approx (neg (sqrt (/ x (+ (* x x) x)))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (/ x (+ (* x x) x))) (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ x (+ (* x x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (/ x (+ (* x x) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)))
#s(approx (/ x (+ (* x x) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)))

Calls

3 calls:

Time	Variable	Point
21.0ms	x	inf
7.0ms	x	-inf
4.0ms	x	0

rewrite1.3s (19.7%)

Memory

56.3MiB live, 1 273.9MiB allocated; 256ms collecting garbage

Counts

39 → 3 213

Calls

Call 1

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

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

eval584.0ms (8.6%)

Memory: -2.6MiB live, 850.8MiB allocated; 398ms collecting garbage
Compiler: Compiled 113 526 to 13 090 computations (88.5% saved)

prune134.0ms (2%)

Memory

20.6MiB live, 251.3MiB allocated; 40ms collecting garbage

Pruning

41 alts after pruning (40 fresh and 1 done)

	Pruned	Kept	Total
New	3 576	29	3 605
Fresh	15	11	26
Picked	5	0	5
Done	0	1	1
Total	3 596	41	3 637

Accuracy

99.9%

Counts

3 637 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))))
	26.8%	(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	42.9%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
	26.8%	(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
	42.8%	(/.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	42.9%	(/.f64 (-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
	42.9%	(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal -1 binary64) x))
	42.8%	(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	79.2%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	95.7%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	95.8%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	22.9%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 8 binary64))))))) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	28.5%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	43.2%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	79.3%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 x (*.f64 (+.f64 x x) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
▶	97.1%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	79.2%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (hypot.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
▶	79.1%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x) #s(literal 1 binary64))))
	78.9%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) #s(approx (sqrt (- x -1)) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
	79.3%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	95.8%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	96.9%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	97.0%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	97.4%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	97.1%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	95.8%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	97.0%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	79.3%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
▶	97.3%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) x) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	33.9%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))))
✓	2.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
	22.0%	#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
	23.8%	#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
	27.0%	#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
	29.6%	#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
	3.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) #s(approx (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
▶	3.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) #s(approx (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1) (*.f64 #s(literal 1/2 binary64) x)))
▶	98.0%	#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
	61.0%	#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/8 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))) x))
	96.7%	#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
	96.7%	#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))

Compiler

Compiled 3 051 to 1 830 computations (40% saved)

series344.0ms (5%)

Memory

-8.1MiB live, 353.5MiB allocated; 96ms collecting garbage

Counts

53 → 124

Calls

Call 1

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

Outputs
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x (-.f64 (.f64 x (-.f64 (+.f64 #s(literal 5/16 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) (+.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (/ (- (+ (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow x 2))) (/ 1 (* x (sqrt (/ 1 x))))) (+ (* -1/4 (/ (sqrt (/ 1 x)) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x)))))) x) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (- (+ (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow x 2))) (/ 1 (* x (sqrt (/ 1 x))))) (+ (* -1/4 (/ (sqrt (/ 1 x)) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x)))))) x) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (- (+ (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow x 2))) (/ 1 (* x (sqrt (/ 1 x))))) (+ (* -1/4 (/ (sqrt (/ 1 x)) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x)))))) x) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (- (+ (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow x 2))) (/ 1 (* x (sqrt (/ 1 x))))) (+ (* -1/4 (/ (sqrt (/ 1 x)) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x)))))) x) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (.f64 x (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 x (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 x (sqrt.f64 x))))))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (+ (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow x 2))) (/ 1 (* x (sqrt (/ 1 x))))) (+ (* -1/4 (/ (sqrt (/ 1 x)) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (+ (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow x 2))) (/ 1 (* x (sqrt (/ 1 x))))) (+ (* -1/4 (/ (sqrt (/ 1 x)) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x)))))) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (+ (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow x 2))) (/ 1 (* x (sqrt (/ 1 x))))) (+ (* -1/4 (/ (sqrt (/ 1 x)) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x)))))) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (+ (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow x 2))) (/ 1 (* x (sqrt (/ 1 x))))) (+ (* -1/4 (/ (sqrt (/ 1 x)) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x)))))) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (.f64 x (-.f64 (.f64 x (-.f64 (/.f64 x (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow x 2))) (/ 1 (* x (sqrt (/ 1 x))))) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow x 2))) (/ 1 (* x (sqrt (/ 1 x))))) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x (sqrt.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow x 2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow x 2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 x) (.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x))
#s(approx (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 x) (.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x))))) x))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
#s(approx (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))) x))
#s(approx (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x))))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
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#s(approx (- (+ (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow x 2))) (/ 1 (* x (sqrt (/ 1 x))))) (+ (* -1/4 (/ (sqrt (/ 1 x)) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x)))))) (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (+ (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow x 2))) (/ 1 (* x (sqrt (/ 1 x))))) (+ (* -1/4 (/ (sqrt (/ 1 x)) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x)))))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow x 2))) (/ 1 (* x (sqrt (/ 1 x))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (+ (* -1/4 (/ (sqrt (/ 1 x)) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- x -1)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (- x -1)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (- x -1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- x -1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))

Calls

3 calls:

Time	Variable	Point
33.0ms	x	-inf
12.0ms	x	inf
12.0ms	x	0

rewrite464.0ms (6.8%)

Memory

28.5MiB live, 611.1MiB allocated; 135ms collecting garbage

Counts

53 → 793

Calls

Call 1

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

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

eval185.0ms (2.7%)

Memory: -40.4MiB live, 385.8MiB allocated; 87ms collecting garbage
Compiler: Compiled 73 113 to 6 700 computations (90.8% saved)

prune62.0ms (0.9%)

Memory

13.1MiB live, 157.4MiB allocated; 12ms collecting garbage

Pruning

54 alts after pruning (51 fresh and 3 done)

	Pruned	Kept	Total
New	1 012	21	1 033
Fresh	5	30	35
Picked	3	2	5
Done	0	1	1
Total	1 020	54	1 074

Accuracy

100.0%

Counts

1 074 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))))
	26.8%	(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	42.9%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
	26.8%	(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
	42.8%	(/.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	42.9%	(/.f64 (-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
	42.9%	(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal -1 binary64) x))
	42.8%	(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	79.2%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	79.2%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	95.7%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	95.8%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	22.9%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 8 binary64))))))) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	28.5%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	79.3%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 x (*.f64 (+.f64 x x) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	97.0%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64)))) (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64)))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	97.3%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(approx (sqrt (- x -1)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
	97.1%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	97.2%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (/ 1 (sqrt (/ 1 x))) (/.f64 x (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	79.2%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (hypot.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
	78.9%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) #s(approx (sqrt (- x -1)) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
	79.1%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x) #s(literal 1 binary64))))
	79.3%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) #s(literal 1 binary64))))
	79.3%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	95.8%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	97.0%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	79.4%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x) #s(literal 1 binary64))))
	97.4%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	95.8%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	97.0%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	79.3%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
✓	97.3%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) x) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	97.3%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(approx (sqrt (- x -1)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
	97.1%	(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	33.9%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))))
✓	2.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
	22.0%	#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
	23.8%	#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
	27.0%	#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
	29.6%	#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
	98.0%	#s(approx (- (/ (sqrt (+ 1 x)) (sqrt (+ (* x x) x))) (sqrt (/ x (+ (* x x) x)))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64)) x))) x))
	3.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) #s(approx (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
	3.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) #s(approx (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓	3.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) #s(approx (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1) (*.f64 #s(literal 1/2 binary64) x)))
	98.0%	#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64)) x)))) x))
	98.0%	#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) x)))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) x))))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) x)))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) (.f64 x (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) x))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) x)) x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) x)))))) x))
	98.1%	#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
	32.0%	#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (-.f64 (/.f64 (fma.f64 x x (.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
	96.7%	#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
	98.0%	#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 x x))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64)) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
	98.0%	#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64)) x)))) x))
	26.8%	#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 #s(approx (- (+ (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow x 2))) (/ 1 (* x (sqrt (/ 1 x))))) (+ (* -1/4 (/ (sqrt (/ 1 x)) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x)))))) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (.f64 x (-.f64 (.f64 x (-.f64 (/.f64 x (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))) (pow.f64 x #s(literal 3 binary64)))) x))
	98.0%	#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 x x))) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64)) x))) x)))
	96.7%	#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) #s(approx (/ (- (+ (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow x 2))) (/ 1 (* x (sqrt (/ 1 x))))) (+ (* -1/4 (/ (sqrt (/ 1 x)) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x)))))) x) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))))

Compiler

Compiled 2 441 to 1 348 computations (44.8% saved)

regimes153.0ms (2.2%)

Memory

-2.8MiB live, 371.5MiB allocated; 32ms collecting garbage

Accuracy

Total -0.9b remaining (-1.3%)

Threshold costs -0.9b (-1.3%)

Counts

4 → 1

72 → 1

82 → 1

95 → 1

Calls

Call 1

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

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

Call 2

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) #s(approx (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1) (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) #s(approx (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) #s(approx (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 x (*.f64 (+.f64 x x) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (fma.f64 x x x))))
(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (.f64 x #s(approx (+ (sqrt (/ 1 x)) ( 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) x) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (/ 1 (sqrt (/ 1 x))) (/.f64 x (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x x))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) #s(approx (/ (- (+ (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow x 2))) (/ 1 (* x (sqrt (/ 1 x))))) (+ (* -1/4 (/ (sqrt (/ 1 x)) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x)))))) x) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) #s(approx (sqrt (- x -1)) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(approx (sqrt (- x -1)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(approx (sqrt (- x -1)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (hypot.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64)))) (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64)))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x) #s(literal 1 binary64))))

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

Call 3

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) #s(approx (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1) (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) #s(approx (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) #s(approx (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 x (*.f64 (+.f64 x x) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (fma.f64 x x x))))
(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (.f64 x #s(approx (+ (sqrt (/ 1 x)) ( 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) x) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (/ 1 (sqrt (/ 1 x))) (/.f64 x (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x x))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) #s(approx (/ (- (+ (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow x 2))) (/ 1 (* x (sqrt (/ 1 x))))) (+ (* -1/4 (/ (sqrt (/ 1 x)) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x)))))) x) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) #s(approx (sqrt (- x -1)) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) x) x))) #s(approx (sqrt (- x -1)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(approx (sqrt (- x -1)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (hypot.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64)))) (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64)))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x) #s(literal 1 binary64))))
#s(approx (- (/ (sqrt (+ 1 x)) (sqrt (+ (* x x) x))) (sqrt (/ x (+ (* x x) x)))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64)) x))) x))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 x x))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64)) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64)) x)))) x))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 #s(approx (- (+ (* -1 (/ (+ (* 1/8 (sqrt (/ 1 x))) (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/4 (sqrt (/ 1 x))) (* -1/8 (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow x 2))) (/ 1 (* x (sqrt (/ 1 x))))) (+ (* -1/4 (/ (sqrt (/ 1 x)) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x)))))) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (.f64 x (-.f64 (.f64 x (-.f64 (/.f64 x (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))) (pow.f64 x #s(literal 3 binary64)))) x))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64)) x)))) x))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 x x))) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64)) x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))

Outputs

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

Call 4

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) #s(approx (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1) (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) #s(approx (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) #s(approx (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 x (*.f64 (+.f64 x x) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (fma.f64 x x x))))
(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (.f64 x #s(approx (+ (sqrt (/ 1 x)) ( 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
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#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (-.f64 (/.f64 (fma.f64 x x (.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (pow (- x -1) 1/2))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (sqrt (- x -1))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (sqrt (- x -1))) 1) (/.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 8 binary64))))))) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) x)))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) x))))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) x)))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) (.f64 x (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) x))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) x)) x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) x)))))) x))
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/8 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))) x))

Outputs
#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))

Outputs

#s(approx (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (- x -1))) (neg (sqrt (/ x (+ (* x x) x))))) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))

Calls

8 calls:

26.0ms	x
20.0ms	x
18.0ms	x
18.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
13.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
3.4%	1	`x`
3.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.4%	1	`x`
98.0%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.0%	1	`x`
98.1%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.1%	1	`x`

Compiler

Compiled 3 880 to 595 computations (84.7% saved)

derivations1.0ms (0%)

Memory

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

Stop Event

1×

fuel

Compiler

Compiled 217 to 73 computations (66.4% saved)

preprocess114.0ms (1.7%)

Memory

-11.2MiB live, 212.1MiB allocated; 125ms collecting garbage

Remove

(negabs x)

(abs x)

Compiler

Compiled 1 120 to 513 computations (54.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample1.6s (23.7%)

preprocess51.0ms (0.7%)

series111.0ms (1.6%)

rewrite123.0ms (1.8%)

eval6.0ms (0.1%)

prune89.0ms (1.3%)

series156.0ms (2.3%)

rewrite495.0ms (7.2%)

eval414.0ms (6.1%)

prune82.0ms (1.2%)

series291.0ms (4.3%)

rewrite1.3s (19.7%)

eval584.0ms (8.6%)

prune134.0ms (2%)

series344.0ms (5%)

rewrite464.0ms (6.8%)

eval185.0ms (2.7%)

prune62.0ms (0.9%)

regimes153.0ms (2.2%)

derivations1.0ms (0%)

preprocess114.0ms (1.7%)

end0.0ms (0%)

Profiling