Metrics for Numeric.Log:$clog1p from log-domain-0.10.2.1, B

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
83.3%	62.5%	12.5%	0%	0%	25%	0%	4
91.7%	68.7%	6.2%	0%	0%	25%	0%	5
95.8%	71.8%	3.1%	0%	0%	25%	0%	6
97.9%	73.4%	1.6%	0%	0%	25%	0%	7
99%	74.2%	0.8%	0%	0%	25%	0%	8
99.5%	74.6%	0.4%	0%	0%	25%	0%	9
99.7%	74.8%	0.2%	0%	0%	25%	0%	10
99.9%	74.9%	0.1%	0%	0%	25%	0%	11
99.9%	74.9%	0%	0%	0%	25%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample567.0ms (9.2%)

Memory

-61.3MiB live, 1 443.1MiB allocated; 197ms collecting garbage

Samples

342.0ms	8 255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-add!: 82.0ms (41.3% of total)

ival-sqrt: 74.0ms (37.3% of total)

ival-div!: 41.0ms (20.6% of total)

adjust: 2.0ms (1% of total)

Bogosity

preprocess60.0ms (1%)

Memory

-37.3MiB live, 61.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	45	25
2	117	24
3	352	24
4	2613	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series18.0ms (0.3%)

Memory

24.5MiB live, 57.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	919

Stop Event

1×	iter-limit

Counts

6 → 37

Calls

Call 1

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

Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.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 (sqrt (+ x 1)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))))))
#s(approx x x)
#s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64))
#s(approx (+ 1 (sqrt (+ x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))))
#s(approx (+ 1 (sqrt (+ x 1))) (+.f64 #s(literal 2 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 (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 (/ x (+ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
#s(approx (/ x (+ 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 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
#s(approx (/ x (+ 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)))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (sqrt (+ x 1))) (.f64 x (+.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 binary64) x)))))
#s(approx (+ 1 (sqrt (+ x 1))) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 1/8 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 (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 (/ x (+ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.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 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.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 5 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))))) x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (sqrt (+ x 1))) (.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 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (sqrt (+ x 1))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))))))
#s(approx (+ 1 (sqrt (+ x 1))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.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 1/8 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))) 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
2.0ms	x	@	inf	((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))
2.0ms	x	@	-inf	((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))
0.0ms	x	@	0	((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

0.0ms

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

rewrite314.0ms (5.1%)

Memory

77.6MiB live, 411.1MiB allocated; 114ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	59	23
2	154	23
3	422	23
4	2149	23
0	8172	23

Stop Event

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

Counts

6 → 709

Calls

Call 1

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

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

eval165.0ms (2.7%)

Memory: 9.8MiB live, 274.7MiB allocated; 108ms collecting garbage
Compiler: Compiled 6 429 to 2 817 computations (56.2% saved)

prune45.0ms (0.7%)

Memory

11.0MiB live, 63.3MiB allocated; 32ms collecting garbage

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	732	11	743
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	733	11	744

Accuracy

100.0%

Counts

744 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
▶	100.0%	(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))
	70.1%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) x))
▶	99.7%	(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) x)
	32.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
▶	68.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))))
▶	68.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 200 to 198 computations (1% saved)

series43.0ms (0.7%)

Memory

-3.1MiB live, 87.4MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	413	2807

Stop Event

1×	iter-limit

Counts

21 → 86

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	((/ x (+ 1 (/ (- x -1) (sqrt (- x -1))))) x (+ 1 (/ (- x -1) (sqrt (- x -1)))) 1 (/ (- x -1) (sqrt (- x -1))) (- x -1) -1 (sqrt (- x -1)) (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* x (+ 1/2 (* -1/8 x))) (+ 1/2 (* -1/8 x)) (* -1/8 x) -1/8 (/ x (- (sqrt (- x -1)) -1)) (- (sqrt (- x -1)) -1) (* (/ -1 (- -1 (sqrt (- x -1)))) x) (/ -1 (- -1 (sqrt (- x -1)))) (- -1 (sqrt (- x -1))))
5.0ms	x	@	-inf	((/ x (+ 1 (/ (- x -1) (sqrt (- x -1))))) x (+ 1 (/ (- x -1) (sqrt (- x -1)))) 1 (/ (- x -1) (sqrt (- x -1))) (- x -1) -1 (sqrt (- x -1)) (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* x (+ 1/2 (* -1/8 x))) (+ 1/2 (* -1/8 x)) (* -1/8 x) -1/8 (/ x (- (sqrt (- x -1)) -1)) (- (sqrt (- x -1)) -1) (* (/ -1 (- -1 (sqrt (- x -1)))) x) (/ -1 (- -1 (sqrt (- x -1)))) (- -1 (sqrt (- x -1))))
2.0ms	x	@	0	((/ x (+ 1 (/ (- x -1) (sqrt (- x -1))))) x (+ 1 (/ (- x -1) (sqrt (- x -1)))) 1 (/ (- x -1) (sqrt (- x -1))) (- x -1) -1 (sqrt (- x -1)) (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* x (+ 1/2 (* -1/8 x))) (+ 1/2 (* -1/8 x)) (* -1/8 x) -1/8 (/ x (- (sqrt (- x -1)) -1)) (- (sqrt (- x -1)) -1) (* (/ -1 (- -1 (sqrt (- x -1)))) x) (/ -1 (- -1 (sqrt (- x -1)))) (- -1 (sqrt (- x -1))))

Time

Variable

Point

Expression

12.0ms

inf

((/ x (+ 1 (/ (- x -1) (sqrt (- x -1))))) x (+ 1 (/ (- x -1) (sqrt (- x -1)))) 1 (/ (- x -1) (sqrt (- x -1))) (- x -1) -1 (sqrt (- x -1)) (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* x (+ 1/2 (* -1/8 x))) (+ 1/2 (* -1/8 x)) (* -1/8 x) -1/8 (/ x (- (sqrt (- x -1)) -1)) (- (sqrt (- x -1)) -1) (* (/ -1 (- -1 (sqrt (- x -1)))) x) (/ -1 (- -1 (sqrt (- x -1)))) (- -1 (sqrt (- x -1))))

5.0ms

-inf

((/ x (+ 1 (/ (- x -1) (sqrt (- x -1))))) x (+ 1 (/ (- x -1) (sqrt (- x -1)))) 1 (/ (- x -1) (sqrt (- x -1))) (- x -1) -1 (sqrt (- x -1)) (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* x (+ 1/2 (* -1/8 x))) (+ 1/2 (* -1/8 x)) (* -1/8 x) -1/8 (/ x (- (sqrt (- x -1)) -1)) (- (sqrt (- x -1)) -1) (* (/ -1 (- -1 (sqrt (- x -1)))) x) (/ -1 (- -1 (sqrt (- x -1)))) (- -1 (sqrt (- x -1))))

2.0ms

((/ x (+ 1 (/ (- x -1) (sqrt (- x -1))))) x (+ 1 (/ (- x -1) (sqrt (- x -1)))) 1 (/ (- x -1) (sqrt (- x -1))) (- x -1) -1 (sqrt (- x -1)) (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* x (+ 1/2 (* -1/8 x))) (+ 1/2 (* -1/8 x)) (* -1/8 x) -1/8 (/ x (- (sqrt (- x -1)) -1)) (- (sqrt (- x -1)) -1) (* (/ -1 (- -1 (sqrt (- x -1)))) x) (/ -1 (- -1 (sqrt (- x -1)))) (- -1 (sqrt (- x -1))))

rewrite459.0ms (7.4%)

Memory

-20.0MiB live, 572.7MiB allocated; 242ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	126
0	39	132
1	218	132
2	610	112
3	2088	112
0	8607	109

Stop Event

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

Counts

21 → 2 439

Calls

Call 1

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

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

eval372.0ms (6%)

Memory: 37.3MiB live, 580.3MiB allocated; 214ms collecting garbage
Compiler: Compiled 28 474 to 7 644 computations (73.2% saved)

prune49.0ms (0.8%)

Memory

-22.8MiB live, 75.4MiB allocated; 22ms collecting garbage

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	1 994	6	2 000
Fresh	2	4	6
Picked	1	4	5
Done	0	0	0
Total	1 997	14	2 011

Accuracy

100.0%

Counts

2 011 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
▶	36.9%	(/.f64 x (-.f64 #s(approx (sqrt (- x -1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
✓	100.0%	(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
▶	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
▶	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))
	36.9%	(/.f64 x (+.f64 #s(literal 1 binary64) #s(approx (/ (- x -1) (sqrt (- x -1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
▶	70.1%	(/.f64 x #s(approx (+ 1 (/ (- x -1) (sqrt (- x -1)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) x))
✓	99.7%	(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) x)
	68.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) x)))
	32.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
▶	68.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	68.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 247 to 242 computations (2% saved)

series35.0ms (0.6%)

Memory

5.2MiB live, 53.1MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	603	3771

Stop Event

1×	iter-limit

Counts

31 → 113

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((/ x (+ 1 (/ (sqrt (+ (* x 2) 2)) (sqrt 2)))) x (+ 1 (/ (sqrt (+ (* x 2) 2)) (sqrt 2))) 1 (/ (sqrt (+ (* x 2) 2)) (sqrt 2)) (sqrt (+ (* x 2) 2)) (+ (* x 2) 2) 2 (sqrt 2) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 1/2 (/ x (+ 1 (/ (- x -1) (sqrt (- x -1))))) (+ 1 (/ (- x -1) (sqrt (- x -1)))) (+ 2 (* 1/2 x)) (* 1/2 x) (/ x (+ 1 (sqrt (- (+ x 1/2) -1/2)))) (+ 1 (sqrt (- (+ x 1/2) -1/2))) (sqrt (- (+ x 1/2) -1/2)) (- (+ x 1/2) -1/2) (+ x 1/2) -1/2 (/ x (- (sqrt (- x -1)) -1)) (- (sqrt (- x -1)) -1) (sqrt (- x -1)) (* x (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) -1)
5.0ms	x	@	inf	((/ x (+ 1 (/ (sqrt (+ (* x 2) 2)) (sqrt 2)))) x (+ 1 (/ (sqrt (+ (* x 2) 2)) (sqrt 2))) 1 (/ (sqrt (+ (* x 2) 2)) (sqrt 2)) (sqrt (+ (* x 2) 2)) (+ (* x 2) 2) 2 (sqrt 2) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 1/2 (/ x (+ 1 (/ (- x -1) (sqrt (- x -1))))) (+ 1 (/ (- x -1) (sqrt (- x -1)))) (+ 2 (* 1/2 x)) (* 1/2 x) (/ x (+ 1 (sqrt (- (+ x 1/2) -1/2)))) (+ 1 (sqrt (- (+ x 1/2) -1/2))) (sqrt (- (+ x 1/2) -1/2)) (- (+ x 1/2) -1/2) (+ x 1/2) -1/2 (/ x (- (sqrt (- x -1)) -1)) (- (sqrt (- x -1)) -1) (sqrt (- x -1)) (* x (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) -1)
3.0ms	x	@	0	((/ x (+ 1 (/ (sqrt (+ (* x 2) 2)) (sqrt 2)))) x (+ 1 (/ (sqrt (+ (* x 2) 2)) (sqrt 2))) 1 (/ (sqrt (+ (* x 2) 2)) (sqrt 2)) (sqrt (+ (* x 2) 2)) (+ (* x 2) 2) 2 (sqrt 2) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 1/2 (/ x (+ 1 (/ (- x -1) (sqrt (- x -1))))) (+ 1 (/ (- x -1) (sqrt (- x -1)))) (+ 2 (* 1/2 x)) (* 1/2 x) (/ x (+ 1 (sqrt (- (+ x 1/2) -1/2)))) (+ 1 (sqrt (- (+ x 1/2) -1/2))) (sqrt (- (+ x 1/2) -1/2)) (- (+ x 1/2) -1/2) (+ x 1/2) -1/2 (/ x (- (sqrt (- x -1)) -1)) (- (sqrt (- x -1)) -1) (sqrt (- x -1)) (* x (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) -1)

Time

Variable

Point

Expression

6.0ms

-inf

((/ x (+ 1 (/ (sqrt (+ (* x 2) 2)) (sqrt 2)))) x (+ 1 (/ (sqrt (+ (* x 2) 2)) (sqrt 2))) 1 (/ (sqrt (+ (* x 2) 2)) (sqrt 2)) (sqrt (+ (* x 2) 2)) (+ (* x 2) 2) 2 (sqrt 2) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 1/2 (/ x (+ 1 (/ (- x -1) (sqrt (- x -1))))) (+ 1 (/ (- x -1) (sqrt (- x -1)))) (+ 2 (* 1/2 x)) (* 1/2 x) (/ x (+ 1 (sqrt (- (+ x 1/2) -1/2)))) (+ 1 (sqrt (- (+ x 1/2) -1/2))) (sqrt (- (+ x 1/2) -1/2)) (- (+ x 1/2) -1/2) (+ x 1/2) -1/2 (/ x (- (sqrt (- x -1)) -1)) (- (sqrt (- x -1)) -1) (sqrt (- x -1)) (* x (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) -1)

5.0ms

inf

((/ x (+ 1 (/ (sqrt (+ (* x 2) 2)) (sqrt 2)))) x (+ 1 (/ (sqrt (+ (* x 2) 2)) (sqrt 2))) 1 (/ (sqrt (+ (* x 2) 2)) (sqrt 2)) (sqrt (+ (* x 2) 2)) (+ (* x 2) 2) 2 (sqrt 2) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 1/2 (/ x (+ 1 (/ (- x -1) (sqrt (- x -1))))) (+ 1 (/ (- x -1) (sqrt (- x -1)))) (+ 2 (* 1/2 x)) (* 1/2 x) (/ x (+ 1 (sqrt (- (+ x 1/2) -1/2)))) (+ 1 (sqrt (- (+ x 1/2) -1/2))) (sqrt (- (+ x 1/2) -1/2)) (- (+ x 1/2) -1/2) (+ x 1/2) -1/2 (/ x (- (sqrt (- x -1)) -1)) (- (sqrt (- x -1)) -1) (sqrt (- x -1)) (* x (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) -1)

3.0ms

((/ x (+ 1 (/ (sqrt (+ (* x 2) 2)) (sqrt 2)))) x (+ 1 (/ (sqrt (+ (* x 2) 2)) (sqrt 2))) 1 (/ (sqrt (+ (* x 2) 2)) (sqrt 2)) (sqrt (+ (* x 2) 2)) (+ (* x 2) 2) 2 (sqrt 2) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 1/2 (/ x (+ 1 (/ (- x -1) (sqrt (- x -1))))) (+ 1 (/ (- x -1) (sqrt (- x -1)))) (+ 2 (* 1/2 x)) (* 1/2 x) (/ x (+ 1 (sqrt (- (+ x 1/2) -1/2)))) (+ 1 (sqrt (- (+ x 1/2) -1/2))) (sqrt (- (+ x 1/2) -1/2)) (- (+ x 1/2) -1/2) (+ x 1/2) -1/2 (/ x (- (sqrt (- x -1)) -1)) (- (sqrt (- x -1)) -1) (sqrt (- x -1)) (* x (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) -1)

rewrite2.6s (41.8%)

Memory

-711.6MiB live, 356.1MiB allocated; 2.7s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	199
0	62	197
1	363	179
2	1166	171
0	5503	168

Stop Event

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

Counts

31 → 1 558

Calls

Call 1

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

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

eval259.0ms (4.2%)

Memory: -24.8MiB live, 254.6MiB allocated; 55ms collecting garbage
Compiler: Compiled 12 200 to 5 159 computations (57.7% saved)

prune23.0ms (0.4%)

Memory

24.4MiB live, 70.7MiB allocated; 3ms collecting garbage

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	1 171	4	1 175
Fresh	0	5	5
Picked	2	3	5
Done	0	4	4
Total	1 173	16	1 189

Accuracy

100.0%

Counts

1 189 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
✓	36.9%	(/.f64 x (-.f64 #s(approx (sqrt (- x -1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
▶	36.8%	(/.f64 x (-.f64 #s(approx (sqrt (- x -1)) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))) #s(literal -1 binary64)))
✓	100.0%	(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))
▶	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	36.9%	(/.f64 x (+.f64 #s(literal 1 binary64) #s(approx (/ (- x -1) (sqrt (- x -1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
	70.1%	(/.f64 x #s(approx (+ 1 (/ (- x -1) (sqrt (- x -1)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
▶	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) x))
✓	99.7%	(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) x)
	32.2%	#s(approx (/ x (+ 1 (/ (sqrt (+ (* x 2) 2)) (sqrt 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
▶	68.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) x)))
▶	32.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	68.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	68.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 271 to 266 computations (1.8% saved)

series25.0ms (0.4%)

Memory

-4.3MiB live, 46.7MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	1447

Stop Event

1×	iter-limit

Counts

28 → 58

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((/ x (+ 1 (sqrt (- (+ (- x -1) 1) 1)))) x (+ 1 (sqrt (- (+ (- x -1) 1) 1))) 1 (sqrt (- (+ (- x -1) 1) 1)) (- (+ (- x -1) 1) 1) (+ (- x -1) 1) (- x -1) -1 (/ x (- (sqrt (- x -1)) -1)) (- (sqrt (- x -1)) -1) (sqrt (- x -1)) (* x (sqrt (/ 1 x))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) (/ x (+ 1 (sqrt (+ x 1)))) (+ (* (* x x) -1/8) (* 1/2 x)) (* x x) -1/8 (* 1/2 x) 1/2 (/ 1 (/ (- (sqrt (- x -1)) -1) x)) (/ (- (sqrt (- x -1)) -1) x) (- (sqrt (- x -1)) -1) (sqrt (- x -1)))
2.0ms	x	@	inf	((/ x (+ 1 (sqrt (- (+ (- x -1) 1) 1)))) x (+ 1 (sqrt (- (+ (- x -1) 1) 1))) 1 (sqrt (- (+ (- x -1) 1) 1)) (- (+ (- x -1) 1) 1) (+ (- x -1) 1) (- x -1) -1 (/ x (- (sqrt (- x -1)) -1)) (- (sqrt (- x -1)) -1) (sqrt (- x -1)) (* x (sqrt (/ 1 x))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) (/ x (+ 1 (sqrt (+ x 1)))) (+ (* (* x x) -1/8) (* 1/2 x)) (* x x) -1/8 (* 1/2 x) 1/2 (/ 1 (/ (- (sqrt (- x -1)) -1) x)) (/ (- (sqrt (- x -1)) -1) x) (- (sqrt (- x -1)) -1) (sqrt (- x -1)))
2.0ms	x	@	0	((/ x (+ 1 (sqrt (- (+ (- x -1) 1) 1)))) x (+ 1 (sqrt (- (+ (- x -1) 1) 1))) 1 (sqrt (- (+ (- x -1) 1) 1)) (- (+ (- x -1) 1) 1) (+ (- x -1) 1) (- x -1) -1 (/ x (- (sqrt (- x -1)) -1)) (- (sqrt (- x -1)) -1) (sqrt (- x -1)) (* x (sqrt (/ 1 x))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) (/ x (+ 1 (sqrt (+ x 1)))) (+ (* (* x x) -1/8) (* 1/2 x)) (* x x) -1/8 (* 1/2 x) 1/2 (/ 1 (/ (- (sqrt (- x -1)) -1) x)) (/ (- (sqrt (- x -1)) -1) x) (- (sqrt (- x -1)) -1) (sqrt (- x -1)))

Time

Variable

Point

Expression

3.0ms

-inf

((/ x (+ 1 (sqrt (- (+ (- x -1) 1) 1)))) x (+ 1 (sqrt (- (+ (- x -1) 1) 1))) 1 (sqrt (- (+ (- x -1) 1) 1)) (- (+ (- x -1) 1) 1) (+ (- x -1) 1) (- x -1) -1 (/ x (- (sqrt (- x -1)) -1)) (- (sqrt (- x -1)) -1) (sqrt (- x -1)) (* x (sqrt (/ 1 x))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) (/ x (+ 1 (sqrt (+ x 1)))) (+ (* (* x x) -1/8) (* 1/2 x)) (* x x) -1/8 (* 1/2 x) 1/2 (/ 1 (/ (- (sqrt (- x -1)) -1) x)) (/ (- (sqrt (- x -1)) -1) x) (- (sqrt (- x -1)) -1) (sqrt (- x -1)))

2.0ms

inf

((/ x (+ 1 (sqrt (- (+ (- x -1) 1) 1)))) x (+ 1 (sqrt (- (+ (- x -1) 1) 1))) 1 (sqrt (- (+ (- x -1) 1) 1)) (- (+ (- x -1) 1) 1) (+ (- x -1) 1) (- x -1) -1 (/ x (- (sqrt (- x -1)) -1)) (- (sqrt (- x -1)) -1) (sqrt (- x -1)) (* x (sqrt (/ 1 x))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) (/ x (+ 1 (sqrt (+ x 1)))) (+ (* (* x x) -1/8) (* 1/2 x)) (* x x) -1/8 (* 1/2 x) 1/2 (/ 1 (/ (- (sqrt (- x -1)) -1) x)) (/ (- (sqrt (- x -1)) -1) x) (- (sqrt (- x -1)) -1) (sqrt (- x -1)))

2.0ms

((/ x (+ 1 (sqrt (- (+ (- x -1) 1) 1)))) x (+ 1 (sqrt (- (+ (- x -1) 1) 1))) 1 (sqrt (- (+ (- x -1) 1) 1)) (- (+ (- x -1) 1) 1) (+ (- x -1) 1) (- x -1) -1 (/ x (- (sqrt (- x -1)) -1)) (- (sqrt (- x -1)) -1) (sqrt (- x -1)) (* x (sqrt (/ 1 x))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) (/ x (+ 1 (sqrt (+ x 1)))) (+ (* (* x x) -1/8) (* 1/2 x)) (* x x) -1/8 (* 1/2 x) 1/2 (/ 1 (/ (- (sqrt (- x -1)) -1) x)) (/ (- (sqrt (- x -1)) -1) x) (- (sqrt (- x -1)) -1) (sqrt (- x -1)))

rewrite289.0ms (4.7%)

Memory

15.8MiB live, 477.3MiB allocated; 91ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	196
0	57	184
1	298	169
2	913	169
3	3317	166
0	8615	164

Stop Event

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

Counts

28 → 2 567

Calls

Call 1

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

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

eval296.0ms (4.8%)

Memory: 36.4MiB live, 404.1MiB allocated; 68ms collecting garbage
Compiler: Compiled 17 672 to 6 017 computations (66% saved)

prune71.0ms (1.1%)

Memory

-38.4MiB live, 108.1MiB allocated; 21ms collecting garbage

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	1 684	7	1 691
Fresh	1	3	4
Picked	2	3	5
Done	3	4	7
Total	1 690	17	1 707

Accuracy

100.0%

Counts

1 707 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 (.f64 (E.f64) x) (.f64 (E.f64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
	52.2%	(/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x x))
✓	99.7%	(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
✓	36.9%	(/.f64 x (-.f64 #s(approx (sqrt (- x -1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
✓	36.8%	(/.f64 x (-.f64 #s(approx (sqrt (- x -1)) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))) #s(literal -1 binary64)))
	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))
	36.9%	(/.f64 x (+.f64 #s(literal 1 binary64) #s(approx (/ (- x -1) (sqrt (- x -1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
	70.1%	(/.f64 x #s(approx (+ 1 (/ (- x -1) (sqrt (- x -1)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))))
✓	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) x))
	36.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (sqrt (- x -1)) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))) #s(literal -1 binary64)) x))
	68.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (sqrt (- x -1)) -1) x) (/.f64 #s(literal 2 binary64) x)))
✓	68.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) x)))
✓	68.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	68.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
	32.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
	32.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(approx (/ 1 (sqrt (/ 1 x))) (/.f64 x (sqrt.f64 x))))

Compiler

Compiled 381 to 309 computations (18.9% saved)

regimes16.0ms (0.3%)

Memory

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

Counts

29 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
7.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
100.0%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes57.0ms (0.9%)

Memory

-12.0MiB live, 33.2MiB allocated; 4ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

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

Calls

2 calls:

49.0ms	x
7.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
99.7%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.7%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes39.0ms (0.6%)

Memory

-25.0MiB live, 19.7MiB allocated; 5ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

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

Calls

2 calls:

34.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
5.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.7%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.1%)

Memory

25.9MiB live, 26.0MiB allocated; 0ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
4.0ms	x

Results

Accuracy	Segments	Branch
98.6%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.6%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

2.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms	x

Results

Accuracy	Segments	Branch
98.6%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.6%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes14.0ms (0.2%)

Memory

-62.5MiB live, 11.1MiB allocated; 20ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	x
2.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

13.0MiB live, 12.9MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms	x

Results

Accuracy	Segments	Branch
96.7%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
96.7%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
32.4%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
32.4%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch13.0ms (0.2%)

Memory

-10.0MiB live, 36.6MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.15644322107899836	20661936.02190356

Samples

5.0ms

144×

valid

Compiler

Compiled 254 to 262 computations (-3.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sqrt: 1.0ms (39.3% of total)

ival-add!: 1.0ms (39.3% of total)

ival-div!: 1.0ms (39.3% of total)

adjust: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory

25.7MiB live, 25.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.15644322107899836	20661936.02190356

Samples

3.0ms

96×

valid

Compiler

Compiled 236 to 253 computations (-7.2% saved)

Precisions

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

ival-sqrt: 1.0ms (62.7% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch4.0ms (0.1%)

Memory

-39.3MiB live, 7.1MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.15644322107899836	20661936.02190356

Samples

1.0ms

16×

valid

Compiler

Compiled 218 to 235 computations (-7.8% saved)

Precisions

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

adjust: 0.0ms (0% of total)

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

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

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

bsearch6.0ms (0.1%)

Memory

17.4MiB live, 17.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.15644322107899836	20661936.02190356

Samples

2.0ms

64×

valid

Compiler

Compiled 164 to 181 computations (-10.4% saved)

Precisions

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

adjust: 0.0ms (0% of total)

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

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

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

derivations260.0ms (4.2%)

Memory

-6.4MiB live, 223.0MiB allocated; 20ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 73 to 57 computations (21.9% saved)

preprocess71.0ms (1.2%)

Memory: 31.3MiB live, 122.5MiB allocated; 21ms collecting garbage
Compiler: Compiled 80 to 63 computations (21.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample567.0ms (9.2%)

preprocess60.0ms (1%)

series18.0ms (0.3%)

rewrite314.0ms (5.1%)

eval165.0ms (2.7%)

prune45.0ms (0.7%)

series43.0ms (0.7%)

rewrite459.0ms (7.4%)

eval372.0ms (6%)

prune49.0ms (0.8%)

series35.0ms (0.6%)

rewrite2.6s (41.8%)

eval259.0ms (4.2%)

prune23.0ms (0.4%)

series25.0ms (0.4%)

rewrite289.0ms (4.7%)

eval296.0ms (4.8%)

prune71.0ms (1.1%)

regimes16.0ms (0.3%)

regimes57.0ms (0.9%)

regimes39.0ms (0.6%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes14.0ms (0.2%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

bsearch13.0ms (0.2%)

bsearch8.0ms (0.1%)

bsearch4.0ms (0.1%)

bsearch6.0ms (0.1%)

derivations260.0ms (4.2%)

preprocess71.0ms (1.2%)

end0.0ms (0%)

Profiling