Metrics for 2isqrt (example 3.6)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample1.7s (12.8%)

Memory

10.0MiB live, 666.8MiB allocated; 318ms collecting garbage

Samples

820.0ms	6 145×	1	valid
532.0ms	1 982×	2	valid
7.0ms	129×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 956.0ms

ival-sqrt: 364.0ms (38.1% of total)

adjust: 229.0ms (24% of total)

ival-div!: 211.0ms (22.1% of total)

ival-add!: 80.0ms (8.4% of total)

ival-sub!: 72.0ms (7.5% of total)

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

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

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

Bogosity

preprocess45.0ms (0.3%)

Memory

-20.8MiB live, 23.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	35
1	74	28
2	341	28
3	2287	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.5%	(-.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)

Compiler

Compiled 20 to 16 computations (20% saved)

series132.0ms (1%)

Memory

18.1MiB live, 120.2MiB allocated; 18ms 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	Expression
3.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
2.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
1.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

rewrite3.8s (28.1%)

Memory

42.3MiB live, 1 821.4MiB allocated; 463ms collecting garbage

Counts

8 → 2 503

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

eval310.0ms (2.3%)

Memory: -23.4MiB live, 218.8MiB allocated; 94ms collecting garbage
Compiler: Compiled 29 889 to 6 907 computations (76.9% saved)

prune80.0ms (0.6%)

Memory

28.8MiB live, 76.3MiB allocated; 3ms collecting garbage

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	2 503	33	2 536
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	2 503	34	2 537

Accuracy

69.0%

Counts

2 537 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.5%	(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 #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	6.5%	(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 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
	35.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (neg.f64 (sqrt.f64 x))))
	6.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (neg.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	24.2%	(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
	6.6%	(fma.f64 (sqrt.f64 x) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x x))) (-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x))))
	6.7%	(/.f64 (fma.f64 (/.f64 (neg.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x) #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
	6.7%	(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 #s(literal 2 binary64))))
	4.6%	(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (neg.f64 (sqrt.f64 x)))) (fma.f64 x x x))
	4.5%	(/.f64 (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 x x x)) (neg.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 (fma.f64 x x x)) (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))))
	19.4%	(/.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)))
	5.4%	(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))
	5.1%	(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x x))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
	5.4%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) x))
	35.6%	(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	35.6%	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	35.6%	(/.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) x)
	26.3%	(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
	35.6%	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 x))
	18.4%	(-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	18.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
✓	35.5%	(-.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)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
▶	6.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 x)))
	6.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (fma.f64 x x x))))
	26.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
▶	2.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
	24.8%	(-.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)))))
	26.5%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	19.4%	(*.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))))
	35.6%	(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	36.4%	#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))))
▶	42.0%	#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 820 to 726 computations (11.5% saved)

series456.0ms (3.4%)

Memory

-15.7MiB live, 77.2MiB allocated; 9ms collecting garbage

Counts

27 → 121

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))) 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow x 3) x 3 (pow (sqrt (/ 1 x)) 3) (sqrt (/ 1 x)) (/ 1 x) 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (/ (sqrt (+ x 1)) (+ x 1)) (sqrt (+ x 1)) (+ x 1) (- (/ 1 (sqrt x)) (* (/ 1 (sqrt (+ (* x x) x))) (sqrt x))) (* (/ 1 (sqrt (+ (* x x) x))) (sqrt x)) (/ 1 (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)) (+ (* x x) x) (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (+ x 1))) (/ (neg 1) (sqrt (+ x 1)))) (/ (neg 1) (sqrt (+ x 1))) (neg 1))
6.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))) 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow x 3) x 3 (pow (sqrt (/ 1 x)) 3) (sqrt (/ 1 x)) (/ 1 x) 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (/ (sqrt (+ x 1)) (+ x 1)) (sqrt (+ x 1)) (+ x 1) (- (/ 1 (sqrt x)) (* (/ 1 (sqrt (+ (* x x) x))) (sqrt x))) (* (/ 1 (sqrt (+ (* x x) x))) (sqrt x)) (/ 1 (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)) (+ (* x x) x) (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (+ x 1))) (/ (neg 1) (sqrt (+ x 1)))) (/ (neg 1) (sqrt (+ x 1))) (neg 1))
5.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))) 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow x 3) x 3 (pow (sqrt (/ 1 x)) 3) (sqrt (/ 1 x)) (/ 1 x) 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (/ (sqrt (+ x 1)) (+ x 1)) (sqrt (+ x 1)) (+ x 1) (- (/ 1 (sqrt x)) (* (/ 1 (sqrt (+ (* x x) x))) (sqrt x))) (* (/ 1 (sqrt (+ (* x x) x))) (sqrt x)) (/ 1 (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)) (+ (* x x) x) (+ (* (/ 1 (sqrt (+ (* x x) x))) (sqrt (+ x 1))) (/ (neg 1) (sqrt (+ x 1)))) (/ (neg 1) (sqrt (+ x 1))) (neg 1))

Time

Variable

Point

Expression

7.0ms

-inf

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

6.0ms

inf

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

5.0ms

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

rewrite1.2s (8.8%)

Memory

0.9MiB live, 241.2MiB allocated; 32ms collecting garbage

Counts

27 → 1 643

Calls

Call 1

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

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

eval190.0ms (1.4%)

Memory: 30.3MiB live, 160.3MiB allocated; 24ms collecting garbage
Compiler: Compiled 18 435 to 5 342 computations (71% saved)

prune71.0ms (0.5%)

Memory

4.5MiB live, 57.5MiB allocated; 13ms collecting garbage

Pruning

43 alts after pruning (40 fresh and 3 done)

	Pruned	Kept	Total
New	1 685	25	1 710
Fresh	13	15	28
Picked	3	2	5
Done	0	1	1
Total	1 701	43	1 744

Accuracy

98.6%

Counts

1 744 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.5%	(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	6.7%	(/.f64 (fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))
	4.4%	(/.f64 (fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x x))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 x x x))))
	5.1%	(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x x)))
▶	19.4%	(/.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)))
	5.4%	(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))
	5.4%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) x))
	35.6%	(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	35.6%	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	35.6%	(/.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) x)
	35.6%	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 x))
	18.4%	(-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	18.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
✓	35.5%	(-.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)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
	5.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 #s(approx (/ 1 (sqrt (+ ( x x) x))) (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)))
	6.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (fma.f64 x x x))))
	26.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
✓	2.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
	26.5%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	19.4%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	35.6%	(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	67.6%	#s(approx (- (pow x (neg 1/2)) (pow (+ x 1) (neg 1/2))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (*.f64 x x) x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
▶	3.1%	#s(approx (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	51.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x)) x))
	55.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) x)) (.f64 x x)))
	81.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
	42.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
	67.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) x)))
	55.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) x)))
	55.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 x x))))
	36.4%	#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))))
	51.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) (.f64 x x)))
	67.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (*.f64 x x) x)) x)))
	35.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))
	42.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 (*.f64 x x) x))))
	55.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x x)) x)))
	55.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) x) (*.f64 x x))))
	71.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) x) (neg.f64 x)) (neg.f64 x))))
▶	96.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 (sqrt.f64 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)))
	67.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x x) x))) #s(literal 1 binary64)) x))
▶	55.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 1 223 to 1 158 computations (5.3% saved)

series500.0ms (3.7%)

Memory

-44.7MiB live, 166.4MiB allocated; 155ms collecting garbage

Counts

29 → 109

Calls

Call 1

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

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 (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (* -1 (sqrt (/ 1 x))) (*.f64 #s(literal -1 binary64) (/.f64 (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 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (/.f64 (fma.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))) x))
#s(approx (* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (/.f64 (fma.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))))) #s(literal 1/2 binary64)))))) x))
#s(approx (- 1 (sqrt (/ x (+ x 1)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- 1 (sqrt (/ x (+ x 1)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))) (sqrt.f64 x)))
#s(approx (- 1 (sqrt (/ x (+ x 1)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (sqrt.f64 x)))
#s(approx (- 1 (sqrt (/ x (+ x 1)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (sqrt.f64 x)))
#s(approx (sqrt (/ x (+ x 1))) (+.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 1))) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (/ x (+ x 1))) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (/ x (+ x 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
#s(approx (/ x (+ x 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
#s(approx (/ x (+ x 1)) (.f64 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 (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (/ (+ x 1) (sqrt x)) (sqrt (+ x 1))) (-.f64 (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ (+ x 1) (sqrt x)) (sqrt (+ x 1))) (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
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#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))))))))
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#s(approx (/ (sqrt (/ 1 x)) x) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
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#s(approx (* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -5/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 35/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) x) (.f64 #s(literal -3/8 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 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)))
#s(approx (- 1 (sqrt (/ x (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x)) #s(literal 1/2 binary64)) x)))
#s(approx (- 1 (sqrt (/ x (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 5/16 binary64)) x)) #s(literal 3/8 binary64)) x)) #s(literal 1/2 binary64)) x)))
#s(approx (sqrt (/ x (+ x 1))) (+.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))))
#s(approx (sqrt (/ x (+ x 1))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x))))
#s(approx (/ x (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
#s(approx (/ x (+ x 1)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) x))))
#s(approx (/ (- (/ (+ x 1) (sqrt x)) (sqrt (+ x 1))) (+ x 1)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.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)))) x))))
#s(approx (/ (- (/ (+ x 1) (sqrt x)) (sqrt (+ x 1))) (+ x 1)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.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)))) x) (+.f64 (/.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))))) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))))
#s(approx (/ (- (/ (+ x 1) (sqrt x)) (sqrt (+ x 1))) (+ x 1)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.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)))) x) (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (fma.f64 #s(literal -1 binary64) (-.f64 (/.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)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x) (/.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)))) x))))
#s(approx (- (/ (+ x 1) (sqrt x)) (sqrt (+ x 1))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ (+ x 1) (sqrt x)) (sqrt (+ x 1))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.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 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ (+ x 1) (sqrt x)) (sqrt (+ x 1))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.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 3 binary64)))))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (+ x 1) (sqrt x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ x 1) (sqrt x)) (.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.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	Expression
7.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))) 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow (sqrt x) 3) (sqrt x) x 3 (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (* -1 (sqrt (/ 1 x))) -1 (sqrt (/ 1 x)) (/ 1 x) 1 (* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ x (+ x 1))) (/ x (+ x 1)) (+ x 1) (/ (- (/ (+ x 1) (sqrt x)) (sqrt (+ x 1))) (+ x 1)) (- (/ (+ x 1) (sqrt x)) (sqrt (+ x 1))) (/ (+ x 1) (sqrt x)) (sqrt (+ x 1)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (/ (sqrt (/ 1 x)) x) (* x x))) (/ 1 x)) (/ 1/2 (* (/ (sqrt (/ 1 x)) x) (* x x))) (* (/ (sqrt (/ 1 x)) x) (* x x)) (/ (sqrt (/ 1 x)) x) (* x x))
7.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))) 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow (sqrt x) 3) (sqrt x) x 3 (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (* -1 (sqrt (/ 1 x))) -1 (sqrt (/ 1 x)) (/ 1 x) 1 (* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ x (+ x 1))) (/ x (+ x 1)) (+ x 1) (/ (- (/ (+ x 1) (sqrt x)) (sqrt (+ x 1))) (+ x 1)) (- (/ (+ x 1) (sqrt x)) (sqrt (+ x 1))) (/ (+ x 1) (sqrt x)) (sqrt (+ x 1)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (/ (sqrt (/ 1 x)) x) (* x x))) (/ 1 x)) (/ 1/2 (* (/ (sqrt (/ 1 x)) x) (* x x))) (* (/ (sqrt (/ 1 x)) x) (* x x)) (/ (sqrt (/ 1 x)) x) (* x x))
6.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))) 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow (sqrt x) 3) (sqrt x) x 3 (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (* -1 (sqrt (/ 1 x))) -1 (sqrt (/ 1 x)) (/ 1 x) 1 (* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ x (+ x 1))) (/ x (+ x 1)) (+ x 1) (/ (- (/ (+ x 1) (sqrt x)) (sqrt (+ x 1))) (+ x 1)) (- (/ (+ x 1) (sqrt x)) (sqrt (+ x 1))) (/ (+ x 1) (sqrt x)) (sqrt (+ x 1)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (/ (sqrt (/ 1 x)) x) (* x x))) (/ 1 x)) (/ 1/2 (* (/ (sqrt (/ 1 x)) x) (* x x))) (* (/ (sqrt (/ 1 x)) x) (* x x)) (/ (sqrt (/ 1 x)) x) (* x x))

Time

Variable

Point

Expression

7.0ms

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

7.0ms

-inf

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

6.0ms

inf

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

rewrite1.7s (12.8%)

Memory

41.2MiB live, 1 100.9MiB allocated; 276ms collecting garbage

Counts

29 → 2 618

Calls

Call 1

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

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

eval938.0ms (6.9%)

Memory: -256.5MiB live, 383.7MiB allocated; 992ms collecting garbage
Compiler: Compiled 46 767 to 14 627 computations (68.7% saved)

prune112.0ms (0.8%)

Memory

23.9MiB live, 175.6MiB allocated; 28ms collecting garbage

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	3 922	22	3 944
Fresh	27	8	35
Picked	4	1	5
Done	1	2	3
Total	3 954	33	3 987

Accuracy

99.9%

Counts

3 987 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (neg.f64 #s(literal 1 binary64)) x)))
	4.4%	(/.f64 (fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x x))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 x x x))))
	5.9%	(/.f64 (fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 x #s(literal 1 binary64)))
	4.8%	(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
✓	19.4%	(/.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)))
	4.5%	(/.f64 (-.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
	4.6%	(/.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))
	5.4%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) x))
	35.6%	(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	35.6%	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	35.6%	(/.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) x)
	35.6%	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 x))
✓	35.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	2.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
	19.4%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	35.6%	(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (sqrt.f64 x) x))
	98.6%	(.f64 #s(approx (- 1 (sqrt (/ x (+ x 1)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	98.0%	(*.f64 #s(approx (- 1 (sqrt (/ x (+ x 1)))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
▶	98.8%	(.f64 #s(approx (- 1 (sqrt (/ x (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x)) #s(literal 1/2 binary64)) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	3.1%	#s(approx (- (pow x (neg 1/2)) (pow (+ 1 x) (+ 1/2 -1))) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)))
	96.9%	#s(approx (- (pow x (neg 1/2)) (cos (atan (sqrt x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
	3.1%	#s(approx (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (/.f64 (sqrt.f64 x) (neg.f64 x)))
▶	3.1%	#s(approx (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	98.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
	98.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
	36.4%	#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))))
	72.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 (neg.f64 #s(literal 1/2 binary64)) x) (.f64 (neg.f64 x) (*.f64 (sqrt.f64 x) x))))
	81.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x)))
▶	67.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (sqrt.f64 (.f64 (.f64 x x) x)))))
▶	83.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (sqrt.f64 x)))
	73.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 x) (sqrt.f64 x))) (neg.f64 x)))
	98.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x)))
	81.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x)))

Compiler

Compiled 898 to 818 computations (8.9% saved)

series404.0ms (3%)

Memory

-7.9MiB live, 402.4MiB allocated; 60ms collecting garbage

Counts

37 → 127

Calls

Call 1

Inputs
(.f64 #s(approx (- 1 (sqrt (/ x (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x)) #s(literal 1/2 binary64)) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (sqrt (/ x (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x)) #s(literal 1/2 binary64)) x)))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x)) #s(literal 1/2 binary64)) x))
#s(literal -1 binary64)
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x)) #s(literal 1/2 binary64)) x)
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x))
(/.f64 (-.f64 (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x)
(-.f64 (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64))
(*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 5/16 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 3/8 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (sqrt.f64 (.f64 (.f64 x x) x)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (sqrt.f64 (.f64 (.f64 x x) x))))
#s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (sqrt.f64 (.f64 (.f64 x x) x)))
(sqrt.f64 (.f64 (.f64 x x) x))
(.f64 (.f64 x x) x)
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (sqrt.f64 x)))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (neg.f64 #s(literal 1 binary64)) x)))
(/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (neg.f64 #s(literal 1 binary64)) x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 (neg.f64 #s(literal 1 binary64)) x)
(neg.f64 #s(literal 1 binary64))

Outputs
#s(approx (* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (/.f64 (fma.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))) x))
#s(approx (* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (/.f64 (fma.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))))) #s(literal 1/2 binary64)))))) x))
#s(approx (- 1 (sqrt (/ x (+ x 1)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- 1 (sqrt (/ x (+ x 1)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))) (sqrt.f64 x)))
#s(approx (- 1 (sqrt (/ x (+ x 1)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (sqrt.f64 x)))
#s(approx (- 1 (sqrt (/ x (+ x 1)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (sqrt.f64 x)))
#s(approx (* -1 (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x)) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* -1 (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x)) (/.f64 (+.f64 #s(literal 5/16 binary64) (*.f64 #s(literal -3/8 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* -1 (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x)) (/.f64 (+.f64 #s(literal 5/16 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3/8 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x) (/.f64 #s(literal -5/16 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x) (/.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) x) #s(literal 5/16 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 5/16 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) (/.f64 #s(literal -5/16 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) (/.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) x) #s(literal 5/16 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -1/2 binary64) x))) #s(literal 5/16 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (- (* 5/16 (/ 1 x)) 3/8) x) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (- (* 5/16 (/ 1 x)) 3/8) x) (/.f64 (+.f64 #s(literal 5/16 binary64) (*.f64 #s(literal -3/8 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (* 5/16 (/ 1 x)) 3/8) (/.f64 #s(literal 5/16 binary64) x))
#s(approx (- (* 5/16 (/ 1 x)) 3/8) (/.f64 (+.f64 #s(literal 5/16 binary64) (*.f64 #s(literal -3/8 binary64) x)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ 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)) (/ (sqrt (+ x 1)) (+ 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)) (/ (sqrt (+ x 1)) (+ 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 (neg (sqrt (/ 1 x))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
#s(approx (sqrt (* (* x x) x)) (*.f64 x (sqrt.f64 x)))
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (/ (/ 1/2 (* (sqrt x) x)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x))))
#s(approx (/ (/ 1/2 (* (sqrt x) x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (+ (* (/ 1 x) (sqrt x)) (/ (sqrt (+ x 1)) (- (neg 1) x))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) x)) x))
#s(approx (+ (* (/ 1 x) (sqrt x)) (/ (sqrt (+ x 1)) (- (neg 1) x))) (/.f64 (+.f64 (sqrt.f64 x) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) x))
#s(approx (+ (* (/ 1 x) (sqrt x)) (/ (sqrt (+ x 1)) (- (neg 1) x))) (/.f64 (+.f64 (sqrt.f64 x) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x))) #s(literal 1 binary64)))) x))
#s(approx (/ (sqrt (+ x 1)) (- (neg 1) x)) #s(literal -1 binary64))
#s(approx (/ (sqrt (+ x 1)) (- (neg 1) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (+ x 1)) (- (neg 1) x)) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/8 binary64) x))) #s(literal 1 binary64)))
#s(approx (/ (sqrt (+ x 1)) (- (neg 1) 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 (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 (- (neg 1) x) (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
#s(approx (* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (/.f64 (fma.f64 #s(literal -3/8 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 1)))) (sqrt (/ 1 x))) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal 5/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))
#s(approx (* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -35/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 5/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
#s(approx (- 1 (sqrt (/ x (+ x 1)))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (- 1 (sqrt (/ x (+ x 1)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (- 1 (sqrt (/ x (+ x 1)))) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (- 1 (sqrt (/ x (+ x 1)))) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x))
#s(approx (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x) (/.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x) (/.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) (/.f64 #s(literal 3/8 binary64) x))
#s(approx (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) (/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (/ (- (* 5/16 (/ 1 x)) 3/8) x) (/.f64 #s(literal -3/8 binary64) x))
#s(approx (/ (- (* 5/16 (/ 1 x)) 3/8) x) (/.f64 (-.f64 (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x))
#s(approx (- (* 5/16 (/ 1 x)) 3/8) #s(literal -3/8 binary64))
#s(approx (- (* 5/16 (/ 1 x)) 3/8) (-.f64 (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)))
#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) 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)) (/ (sqrt (+ x 1)) (+ x 1))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 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)))))))))
#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 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
#s(approx (sqrt (* (* x x) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (/ (/ 1/2 (* (sqrt x) x)) (sqrt x)) (sqrt 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 (/ (/ 1/2 (* (sqrt x) x)) (sqrt x)) (/.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 2 binary64)))))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (/ 1 x) (sqrt x)) (/ (sqrt (+ x 1)) (- (neg 1) x))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (/ 1 x) (sqrt x)) (/ (sqrt (+ x 1)) (- (neg 1) x))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
#s(approx (+ (* (/ 1 x) (sqrt x)) (/ (sqrt (+ x 1)) (- (neg 1) x))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (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)))) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))
#s(approx (+ (* (/ 1 x) (sqrt x)) (/ (sqrt (+ x 1)) (- (neg 1) x))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 3 binary64))) (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)))) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))))
#s(approx (/ (sqrt (+ x 1)) (- (neg 1) x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (/ (sqrt (+ x 1)) (- (neg 1) x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (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)))) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
#s(approx (/ (sqrt (+ x 1)) (- (neg 1) x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 3 binary64))) (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)))) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.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))))))))
#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 (- (neg 1) x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (neg 1) x) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) x)))
#s(approx (* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 5/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -5/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 35/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) x) (.f64 #s(literal -3/8 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 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)))
#s(approx (- 1 (sqrt (/ x (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x)) #s(literal 1/2 binary64)) x)))
#s(approx (- 1 (sqrt (/ x (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 5/16 binary64)) x)) #s(literal 3/8 binary64)) x)) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x) (.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)))
#s(approx (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x) (.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)))
#s(approx (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x)))
#s(approx (/ (- (* 5/16 (/ 1 x)) 3/8) x) (.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)))
#s(approx (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (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 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (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))))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (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))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.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 (* (/ (/ 1/2 (* (sqrt x) x)) (sqrt x)) (sqrt 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 (* (sqrt x) x) (.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) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (/ 1 x) (sqrt x)) (/ (sqrt (+ x 1)) (- (neg 1) x))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))
#s(approx (+ (* (/ 1 x) (sqrt x)) (/ (sqrt (+ x 1)) (- (neg 1) x))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))))
#s(approx (+ (* (/ 1 x) (sqrt x)) (/ (sqrt (+ x 1)) (- (neg 1) x))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)))) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) 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)))) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))))
#s(approx (/ (sqrt (+ x 1)) (- (neg 1) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
#s(approx (/ (sqrt (+ x 1)) (- (neg 1) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))))
#s(approx (/ (sqrt (+ x 1)) (- (neg 1) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)))) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) 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)))) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) 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	Expression
7.0ms	x	@	inf	((* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (- 1 (sqrt (/ x (+ x 1)))) (* -1 (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x)) -1 (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x) (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) (/ (- (* 5/16 (/ 1 x)) 3/8) x) (- (* 5/16 (/ 1 x)) 3/8) (* 5/16 (/ 1 x)) 5/16 (/ 1 x) 1 x 3/8 1/2 (sqrt (/ 1 x)) (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (neg (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))) (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ (/ 1/2 (* (sqrt x) x)) (sqrt x)) (sqrt x)) (/ (/ 1/2 (* (sqrt x) x)) (sqrt x)) (/ 1/2 (* (sqrt x) x)) (* (sqrt x) x) (sqrt x) (+ (* (/ 1 x) (sqrt x)) (/ (sqrt (+ x 1)) (- (neg 1) x))) (/ (sqrt (+ x 1)) (- (neg 1) x)) (sqrt (+ x 1)) (+ x 1) (- (neg 1) x) (neg 1))
6.0ms	x	@	-inf	((* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (- 1 (sqrt (/ x (+ x 1)))) (* -1 (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x)) -1 (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x) (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) (/ (- (* 5/16 (/ 1 x)) 3/8) x) (- (* 5/16 (/ 1 x)) 3/8) (* 5/16 (/ 1 x)) 5/16 (/ 1 x) 1 x 3/8 1/2 (sqrt (/ 1 x)) (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (neg (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))) (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ (/ 1/2 (* (sqrt x) x)) (sqrt x)) (sqrt x)) (/ (/ 1/2 (* (sqrt x) x)) (sqrt x)) (/ 1/2 (* (sqrt x) x)) (* (sqrt x) x) (sqrt x) (+ (* (/ 1 x) (sqrt x)) (/ (sqrt (+ x 1)) (- (neg 1) x))) (/ (sqrt (+ x 1)) (- (neg 1) x)) (sqrt (+ x 1)) (+ x 1) (- (neg 1) x) (neg 1))
5.0ms	x	@	0	((* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (- 1 (sqrt (/ x (+ x 1)))) (* -1 (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x)) -1 (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x) (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) (/ (- (* 5/16 (/ 1 x)) 3/8) x) (- (* 5/16 (/ 1 x)) 3/8) (* 5/16 (/ 1 x)) 5/16 (/ 1 x) 1 x 3/8 1/2 (sqrt (/ 1 x)) (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (neg (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))) (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ (/ 1/2 (* (sqrt x) x)) (sqrt x)) (sqrt x)) (/ (/ 1/2 (* (sqrt x) x)) (sqrt x)) (/ 1/2 (* (sqrt x) x)) (* (sqrt x) x) (sqrt x) (+ (* (/ 1 x) (sqrt x)) (/ (sqrt (+ x 1)) (- (neg 1) x))) (/ (sqrt (+ x 1)) (- (neg 1) x)) (sqrt (+ x 1)) (+ x 1) (- (neg 1) x) (neg 1))

Time

Variable

Point

Expression

7.0ms

inf

((* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (- 1 (sqrt (/ x (+ x 1)))) (* -1 (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x)) -1 (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x) (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) (/ (- (* 5/16 (/ 1 x)) 3/8) x) (- (* 5/16 (/ 1 x)) 3/8) (* 5/16 (/ 1 x)) 5/16 (/ 1 x) 1 x 3/8 1/2 (sqrt (/ 1 x)) (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (neg (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))) (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ (/ 1/2 (* (sqrt x) x)) (sqrt x)) (sqrt x)) (/ (/ 1/2 (* (sqrt x) x)) (sqrt x)) (/ 1/2 (* (sqrt x) x)) (* (sqrt x) x) (sqrt x) (+ (* (/ 1 x) (sqrt x)) (/ (sqrt (+ x 1)) (- (neg 1) x))) (/ (sqrt (+ x 1)) (- (neg 1) x)) (sqrt (+ x 1)) (+ x 1) (- (neg 1) x) (neg 1))

6.0ms

-inf

((* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (- 1 (sqrt (/ x (+ x 1)))) (* -1 (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x)) -1 (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x) (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) (/ (- (* 5/16 (/ 1 x)) 3/8) x) (- (* 5/16 (/ 1 x)) 3/8) (* 5/16 (/ 1 x)) 5/16 (/ 1 x) 1 x 3/8 1/2 (sqrt (/ 1 x)) (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (neg (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))) (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ (/ 1/2 (* (sqrt x) x)) (sqrt x)) (sqrt x)) (/ (/ 1/2 (* (sqrt x) x)) (sqrt x)) (/ 1/2 (* (sqrt x) x)) (* (sqrt x) x) (sqrt x) (+ (* (/ 1 x) (sqrt x)) (/ (sqrt (+ x 1)) (- (neg 1) x))) (/ (sqrt (+ x 1)) (- (neg 1) x)) (sqrt (+ x 1)) (+ x 1) (- (neg 1) x) (neg 1))

5.0ms

((* (- 1 (sqrt (/ x (+ x 1)))) (sqrt (/ 1 x))) (- 1 (sqrt (/ x (+ x 1)))) (* -1 (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x)) -1 (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) x) (- (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) 1/2) (* -1 (/ (- (* 5/16 (/ 1 x)) 3/8) x)) (/ (- (* 5/16 (/ 1 x)) 3/8) x) (- (* 5/16 (/ 1 x)) 3/8) (* 5/16 (/ 1 x)) 5/16 (/ 1 x) 1 x 3/8 1/2 (sqrt (/ 1 x)) (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (neg (sqrt (/ 1 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))) (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ (/ 1/2 (* (sqrt x) x)) (sqrt x)) (sqrt x)) (/ (/ 1/2 (* (sqrt x) x)) (sqrt x)) (/ 1/2 (* (sqrt x) x)) (* (sqrt x) x) (sqrt x) (+ (* (/ 1 x) (sqrt x)) (/ (sqrt (+ x 1)) (- (neg 1) x))) (/ (sqrt (+ x 1)) (- (neg 1) x)) (sqrt (+ x 1)) (+ x 1) (- (neg 1) x) (neg 1))

rewrite1.3s (9.7%)

Memory

27.1MiB live, 365.7MiB allocated; 107ms collecting garbage

Counts

37 → 1 495

Calls

Call 1

Inputs
(.f64 #s(approx (- 1 (sqrt (/ x (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x)) #s(literal 1/2 binary64)) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (sqrt (/ x (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x)) #s(literal 1/2 binary64)) x)))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x)) #s(literal 1/2 binary64)) x))
#s(literal -1 binary64)
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x)) #s(literal 1/2 binary64)) x)
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x))
(/.f64 (-.f64 (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x)
(-.f64 (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64))
(*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 5/16 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 3/8 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (sqrt.f64 (.f64 (.f64 x x) x)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (sqrt.f64 (.f64 (.f64 x x) x))))
#s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (sqrt.f64 (.f64 (.f64 x x) x)))
(sqrt.f64 (.f64 (.f64 x x) x))
(.f64 (.f64 x x) x)
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (sqrt.f64 x)))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (neg.f64 #s(literal 1 binary64)) x)))
(/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (neg.f64 #s(literal 1 binary64)) x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 (neg.f64 #s(literal 1 binary64)) x)
(neg.f64 #s(literal 1 binary64))

Outputs
(*.f64 #s(approx (- 1 (sqrt (/ x (+ 1 x)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (sqrt (/ x (+ 1 x)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x)) x))
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x)) (/.f64 #s(literal -1 binary64) (neg.f64 x)))
(.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x)) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x) #s(literal 1/2 binary64)) x))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x)))
(.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x)) (neg.f64 #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) (*.f64 x x)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) (.f64 x x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) (.f64 x x))) (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) (.f64 x x))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x) (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x)) (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x))) (*.f64 x x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x) #s(literal 1/2 binary64)) (neg.f64 x))
(/.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x) x) (.f64 x #s(literal 1/2 binary64))) (neg.f64 (*.f64 x x)))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x) x) (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 x x))
(/.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64))) (neg.f64 #s(literal 1 binary64))) (neg.f64 (.f64 x x)))
(/.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64))) #s(literal 1 binary64)) (.f64 x x))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x)) (neg.f64 #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x)) #s(literal 1 binary64)) x)
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x) x) (.f64 x #s(literal 1/2 binary64)))) (.f64 x x))
(/.f64 (-.f64 (.f64 (neg.f64 #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (neg.f64 x) (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)))) (neg.f64 (.f64 (*.f64 x x) x)))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)))) (.f64 (*.f64 x x) x))
(/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x) x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x)) x)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) x)) (neg.f64 x))
(/.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) (.f64 x x)) x) #s(literal 1/2 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x) x) (.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) (*.f64 x x)) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) (*.f64 x x)) x) #s(literal 1/2 binary64))) x)
(/.f64 (-.f64 (.f64 (neg.f64 #s(literal 1/2 binary64)) x) (.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x))) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 (.f64 (neg.f64 #s(literal 1/2 binary64)) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) x))) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (.f64 x (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) x))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) (.f64 x x)) x) #s(literal 1/2 binary64))) x)
(fma.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) (.f64 x x)) #s(literal -1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) (.f64 x x)))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) (.f64 x x)) (.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (.f64 (neg.f64 #s(literal 1/2 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (sqrt.f64 x))) (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) (*.f64 x x)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) (*.f64 x x)))
(fma.f64 (neg.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 x) (.f64 (neg.f64 x) (sqrt.f64 x))) (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) (.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) x) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) (*.f64 x x)))
(fma.f64 (neg.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 (neg.f64 #s(literal 1/2 binary64)) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (neg.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 (neg.f64 #s(literal 1/2 binary64)) (sqrt.f64 x)) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) (*.f64 x x)))
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eval250.0ms (1.8%)

Memory: 3.0MiB live, 229.4MiB allocated; 39ms collecting garbage
Compiler: Compiled 23 259 to 10 072 computations (56.7% saved)

prune67.0ms (0.5%)

Memory

-26.1MiB live, 73.5MiB allocated; 13ms collecting garbage

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	1 998	6	2 004
Fresh	5	20	25
Picked	1	4	5
Done	0	3	3
Total	2 004	33	2 037

Accuracy

99.9%

Counts

2 037 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	6.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (neg.f64 #s(literal 1 binary64)) x)))
	4.4%	(/.f64 (fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x x))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 x x x))))
	5.9%	(/.f64 (fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 x #s(literal 1 binary64)))
	4.8%	(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
✓	19.4%	(/.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)))
	4.5%	(/.f64 (-.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
	4.6%	(/.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))
	5.4%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) x))
	35.6%	(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	35.6%	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	35.6%	(/.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) x)
	35.6%	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 x))
✓	35.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	2.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
	19.4%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	35.6%	(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (sqrt.f64 x) x))
	98.8%	(*.f64 #s(approx (- 1 (sqrt (/ x (+ x 1)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	98.6%	(.f64 #s(approx (- 1 (sqrt (/ x (+ x 1)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	98.8%	(.f64 #s(approx (- 1 (sqrt (/ x (+ x 1)))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	3.1%	#s(approx (- (pow x (neg 1/2)) (pow (+ 1 x) (+ 1/2 -1))) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)))
	96.9%	#s(approx (- (pow x (neg 1/2)) (pow (+ 1 x) (neg 1/2))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
	3.1%	#s(approx (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (/.f64 (sqrt.f64 x) (neg.f64 x)))
✓	3.1%	#s(approx (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	98.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x) x))
	98.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
	98.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
	98.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) x))
	81.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 x x)))
	72.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 (neg.f64 #s(literal 1/2 binary64)) x) (.f64 (neg.f64 x) (*.f64 (sqrt.f64 x) x))))
✓	67.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (sqrt.f64 (.f64 (.f64 x x) x)))))
✓	83.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (sqrt.f64 x)))
	73.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 x) (sqrt.f64 x))) (neg.f64 x)))
	81.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x)))

Compiler

Compiled 1 210 to 749 computations (38.1% saved)

regimes41.0ms (0.3%)

Memory

32.2MiB live, 32.2MiB allocated; 0ms collecting garbage

Counts

87 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (/.f64 (sqrt.f64 x) (neg.f64 x)))
#s(approx (- (pow x (neg 1/2)) (pow (+ 1 x) (+ 1/2 -1))) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 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)) (/ (sqrt (+ x 1)) (+ x 1))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow x (neg 1/2)) (cos (atan (sqrt x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (- (pow x (neg 1/2)) (pow (+ 1 x) (neg 1/2))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (sqrt.f64 (.f64 (.f64 x x) x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x) x))
(*.f64 #s(approx (- 1 (sqrt (/ x (+ x 1)))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#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 (/.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 #s(approx (/ 1 (sqrt (+ ( x x) x))) (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 (neg.f64 #s(literal 1/2 binary64)) x) (.f64 (neg.f64 x) (*.f64 (sqrt.f64 x) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 x) (sqrt.f64 x))) (neg.f64 x)))
(-.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (fma.f64 x x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.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 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (sqrt.f64 x) x))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) x))
(/.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) x)
(.f64 #s(approx (- 1 (sqrt (/ x (+ x 1)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (*.f64 x x) x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) x) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 (*.f64 x x) x))))
#s(approx (- (pow x (neg 1/2)) (pow (+ x 1) (neg 1/2))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (*.f64 x x) x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(/.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)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) x)) (.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (neg.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) x) (neg.f64 x)) (neg.f64 x))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (neg.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(approx (- 1 (sqrt (/ x (+ x 1)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (/.f64 (neg.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x) #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x x) 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) (+.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) (.f64 x x)))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(.f64 #s(approx (- 1 (sqrt (/ x (+ x 1)))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 x) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x x))) (-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 #s(literal 2 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 #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x x)))
(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 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (neg.f64 (sqrt.f64 x)))) (fma.f64 x x x))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x x))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(.f64 #s(approx (- 1 (sqrt (/ x (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x)) #s(literal 1/2 binary64)) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (neg.f64 (sqrt.f64 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x x))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 x x x))))
(/.f64 (-.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (+.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)))))
(/.f64 (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 x x x)) (neg.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 (fma.f64 x x x)) (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 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))))

Outputs
(.f64 #s(approx (- 1 (sqrt (/ x (+ x 1)))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

Outputs

(*.f64 #s(approx (- 1 (sqrt (/ x (+ x 1)))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

Calls

2 calls:

22.0ms	x
15.0ms	(-.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
98.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.8%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes32.0ms (0.2%)

Memory

-22.0MiB live, 24.6MiB allocated; 1ms collecting garbage

Counts

66 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ (sqrt (+ x 1)) (+ x 1))) (/.f64 (sqrt.f64 x) (neg.f64 x)))
#s(approx (- (pow x (neg 1/2)) (pow (+ 1 x) (+ 1/2 -1))) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 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)) (/ (sqrt (+ x 1)) (+ x 1))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow x (neg 1/2)) (cos (atan (sqrt x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (- (pow x (neg 1/2)) (pow (+ 1 x) (neg 1/2))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (sqrt.f64 (.f64 (.f64 x x) x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x) x))
(*.f64 #s(approx (- 1 (sqrt (/ x (+ x 1)))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#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 (/.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 #s(approx (/ 1 (sqrt (+ ( x x) x))) (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 (neg.f64 #s(literal 1/2 binary64)) x) (.f64 (neg.f64 x) (*.f64 (sqrt.f64 x) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 x) (sqrt.f64 x))) (neg.f64 x)))
(-.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (fma.f64 x x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.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 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (sqrt.f64 x) x))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) x))
(/.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) x)
(.f64 #s(approx (- 1 (sqrt (/ x (+ x 1)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (*.f64 x x) x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) x) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 (*.f64 x x) x))))
#s(approx (- (pow x (neg 1/2)) (pow (+ x 1) (neg 1/2))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (*.f64 x x) x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(/.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)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) x)) (.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (neg.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) x) (neg.f64 x)) (neg.f64 x))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (neg.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(approx (- 1 (sqrt (/ x (+ x 1)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (/.f64 (neg.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x) #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x x) 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) (+.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) (.f64 x x)))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))

Outputs
(*.f64 #s(approx (- 1 (sqrt (/ x (+ x 1)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

Outputs

(*.f64 #s(approx (- 1 (sqrt (/ x (+ x 1)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

Calls

2 calls:

16.0ms	x
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
98.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.8%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes26.0ms (0.2%)

Memory

21.0MiB live, 21.0MiB allocated; 0ms collecting garbage

Counts

56 → 1

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	x
10.0ms	(-.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
98.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.6%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes18.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Counts

36 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
7.0ms	(-.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
98.2%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.2%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes9.0ms (0.1%)

Memory

-39.7MiB live, 7.4MiB allocated; 2ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
3.0ms	(-.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
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 11 to 9 computations (18.2% saved)

regimes5.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(-.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
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 11 to 9 computations (18.2% saved)

regimes5.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	(-.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
96.9%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
96.9%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes4.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.4b remaining (-0.6%)

Threshold costs -0.4b (-0.6%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(-.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
3.1%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
3.1%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

derivations2.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 78 to 58 computations (25.6% saved)

preprocess67.0ms (0.5%)

Memory: -7.5MiB live, 87.9MiB allocated; 8ms collecting garbage
Remove: (abs x)
Compiler: Compiled 354 to 324 computations (8.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample1.7s (12.8%)

preprocess45.0ms (0.3%)

series132.0ms (1%)

rewrite3.8s (28.1%)

eval310.0ms (2.3%)

prune80.0ms (0.6%)

series456.0ms (3.4%)

rewrite1.2s (8.8%)

eval190.0ms (1.4%)

prune71.0ms (0.5%)

series500.0ms (3.7%)

rewrite1.7s (12.8%)

eval938.0ms (6.9%)

prune112.0ms (0.8%)

series404.0ms (3%)

rewrite1.3s (9.7%)

eval250.0ms (1.8%)

prune67.0ms (0.5%)

regimes41.0ms (0.3%)

regimes32.0ms (0.2%)

regimes26.0ms (0.2%)

regimes18.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

derivations2.0ms (0%)

preprocess67.0ms (0.5%)

end0.0ms (0%)

Profiling