Metrics for 2isqrt (example 3.6)

start0.0ms (0.0%)

Memory: 0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

analyze6.0ms (0.1%)

Memory

-27.5MiB live, 20.9MiB allocated; 5ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	25.0%	75.0%	0.0%	0.0%	0.0%	0
0.0%	0.0%	25.0%	75.0%	0.0%	0.0%	0.0%	1
50.0%	12.5%	12.5%	75.0%	0.0%	0.0%	0.0%	2
75.0%	18.7%	6.2%	75.0%	0.0%	0.0%	0.0%	3
87.5%	21.9%	3.1%	75.0%	0.0%	0.0%	0.0%	4
93.8%	23.4%	1.6%	75.0%	0.0%	0.0%	0.0%	5
96.9%	24.2%	0.8%	75.0%	0.0%	0.0%	0.0%	6
98.4%	24.6%	0.4%	75.0%	0.0%	0.0%	0.0%	7
99.2%	24.8%	0.2%	75.0%	0.0%	0.0%	0.0%	8
99.6%	24.9%	0.1%	75.0%	0.0%	0.0%	0.0%	9
99.8%	24.9%	0.0%	75.0%	0.0%	0.0%	0.0%	10
99.9%	25.0%	0.0%	75.0%	0.0%	0.0%	0.0%	11
100.0%	25.0%	0.0%	75.0%	0.0%	0.0%	0.0%	12

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.6s (37.6%)

Memory

27.0MiB live, 2 634.0MiB allocated; 527ms collecting garbage

Samples

858.0ms	6 127×	1	valid
403.0ms	2 012×	2	valid
18.0ms	117×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 973.0ms

ival-sqrt: 321.0ms (33.0% of total)

ival-div!: 304.0ms (31.3% of total)

adjust: 257.0ms (26.4% of total)

ival-add!: 52.0ms (5.3% of total)

ival-sub!: 39.0ms (4.0% of total)

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

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

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

Bogosity

preprocess33.0ms (0.8%)

Memory

26.8MiB live, 26.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.3%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Symmetry

(abs x)

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series22.0ms (0.5%)

Memory

-2.2MiB live, 43.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	1137

Stop Event

1×	iter-limit

Counts

8 → 40

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite125.0ms (3.0%)

Memory

-11.7MiB live, 268.4MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	32
0	14	32
1	81	28
2	337	28
3	1780	26
0	4142	26

Stop Event

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

Counts

8 → 591

Calls

Call 1

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

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

eval64.0ms (1.5%)

Memory: 42.1MiB live, 226.8MiB allocated; 25ms collecting garbage
Compiler: Compiled 12 639 to 2 063 computations (83.7% saved)

prune49.0ms (1.2%)

Memory

-34.9MiB live, 258.3MiB allocated; 34ms collecting garbage

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	591	33	624
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	591	34	625

Accuracy

69.7%

Counts

625 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.6%	(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))))
	7.7%	(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	8.1%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))
	5.9%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x x))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	45.3%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.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 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	5.3%	(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	5.9%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) (*.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x x))))
	45.3%	(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	5.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (sqrt.f64 (fma.f64 x x x)))
▶	45.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
▶	45.4%	(/.f64 (-.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
	4.6%	(/.f64 (-.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))) (sqrt.f64 (.f64 (fma.f64 x x x) x))) (fma.f64 x x x))
	45.4%	(/.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))) x)
▶	6.0%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x x)))))
	45.4%	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
	32.1%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	7.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x x))))
	31.9%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
✓	45.3%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	5.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
	7.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
	7.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (fma.f64 x x x))))
	34.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
	8.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))))
	34.5%	(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	23.9%	(-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	34.8%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	8.1%	(-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	19.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
	25.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
	28.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
	32.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
	3.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
▶	2.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))

Compiler

Compiled 1 361 to 844 computations (38.0% saved)

sample0.0ms (0.0%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
-1
1

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

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series99.0ms (2.3%)

Memory

40.0MiB live, 225.7MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1089	7077

Stop Event

1×	iter-limit

Counts

28 → 184

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
12.0ms	x	-inf
9.0ms	x	inf
8.0ms	x	0

rewrite255.0ms (6.0%)

Memory

1.1MiB live, 713.7MiB allocated; 83ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	230
0	60	236
1	338	176
2	1390	169
0	4106	156

Stop Event

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

Counts

28 → 1 894

Calls

Call 1

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

Outputs
x
#s(literal -1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (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)) x) x)
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(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 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x)) (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(sqrt.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(fabs.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (-.f64 #s(literal -1 binary64) x))
(fabs.f64 (-.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (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 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (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)))
#s(literal 1 binary64)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) x)) x)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (.f64 x x))) (*.f64 x x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 x x))) (*.f64 x x))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (neg.f64 (sqrt.f64 (fma.f64 x x x))))
(*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (fma.f64 x x x)))
(*.f64 (-.f64 x #s(literal -1 binary64)) x)
(*.f64 x (-.f64 x #s(literal -1 binary64)))
(pow.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x x)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x x) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x)))) (+.f64 x (neg.f64 (*.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (-.f64 x (*.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (+.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x))) (+.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)) (.f64 x (*.f64 x (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x) (.f64 x (*.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x)) (.f64 x (neg.f64 (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (+.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (-.f64 (*.f64 x x) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x x) (+.f64 (.f64 x x) (.f64 (.f64 x x) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 x x) x))))
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x))
(fma.f64 (neg.f64 x) (neg.f64 x) x)
(fma.f64 x x x)
(-.f64 (*.f64 x x) (neg.f64 x))
(-.f64 x (*.f64 x (neg.f64 x)))
(-.f64 x (*.f64 (neg.f64 x) x))
(-.f64 x (neg.f64 (*.f64 x x)))
(sqrt.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (fma.f64 x x x))))
(fabs.f64 (*.f64 (sqrt.f64 (fma.f64 x x x)) (neg.f64 (sqrt.f64 (fma.f64 x x x)))))
(fabs.f64 (fma.f64 x x x))
(+.f64 (*.f64 x x) x)
(+.f64 x (*.f64 x x))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x x) #s(literal -1 binary64))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (neg.f64 x)) (.f64 x (neg.f64 x)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) x) (.f64 x x))
(/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (.f64 x x))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) (neg.f64 x)))
(/.f64 (.f64 #s(literal -1 binary64) x) (.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) x))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) (fma.f64 x x x)))
(/.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal -1 binary64) x) x)))
(/.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (fma.f64 x x x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (neg.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (fma.f64 x x x) (neg.f64 x)))
(/.f64 #s(literal -2 binary64) (.f64 (.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 #s(literal -1 binary64) x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 x x x) x))
(/.f64 (.f64 x #s(literal -1 binary64)) (.f64 x (*.f64 (-.f64 #s(literal -1 binary64) x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) x)
(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 x x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x x x))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) x))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 0 binary64) (fma.f64 x x x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 x x x)))
(fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 0 binary64) (fma.f64 x x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 0 binary64) (fma.f64 x x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 0 binary64) (fma.f64 x x x)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (/.f64 #s(literal 0 binary64) (fma.f64 x x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) (fma.f64 x x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 x x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal 0 binary64) (fma.f64 x x x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 0 binary64) (fma.f64 x x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (fma.f64 x x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 x x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 0 binary64) (fma.f64 x x x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 0 binary64) (fma.f64 x x x)))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 0 binary64) (fma.f64 x x x)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x 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) (fma.f64 x x x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (sqrt.f64 #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x)))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))))))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (copysign.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
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(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
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eval526.0ms (12.4%)

Memory: -149.2MiB live, 271.4MiB allocated; 914ms collecting garbage
Compiler: Compiled 40 439 to 4 997 computations (87.6% saved)

prune59.0ms (1.4%)

Memory

-5.2MiB live, 100.7MiB allocated; 12ms collecting garbage

Pruning

35 alts after pruning (32 fresh and 3 done)

	Pruned	Kept	Total
New	1 315	21	1 336
Fresh	17	11	28
Picked	5	0	5
Done	-2	3	1
Total	1 335	35	1 370

Accuracy

99.8%

Counts

1 370 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.9%	(fma.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	7.9%	(fma.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	8.1%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))
	47.1%	(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x x)))
	27.2%	(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
	32.0%	(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
▶	45.3%	(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	45.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
✓	45.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	45.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 (*.f64 x x) x)))
	44.8%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(approx (sqrt (+ (* x x) x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
	45.4%	(/.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))) x)
	45.4%	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
	25.6%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x)) (sqrt.f64 (fma.f64 x x x)))
	46.8%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.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)) (sqrt.f64 (fma.f64 x x x)))
▶	80.4%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (fma.f64 x x x)))
	41.0%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x x)))
▶	97.0%	(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)) (-.f64 x #s(literal -1 binary64)))
	7.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x x))))
✓	45.3%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	5.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
	7.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (fma.f64 x x x))))
	34.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
	34.8%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	80.4%	#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64))))
▶	2.6%	#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
	80.2%	#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
	36.3%	#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.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)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))) (pow.f64 x #s(literal 2 binary64))))
	46.8%	#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) (pow.f64 x #s(literal 2 binary64))))
	43.2%	#s(approx (/ (- (neg (sqrt (+ (* x x) x))) (* (sqrt x) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (+ (* x x) x))))) (-.f64 (fma.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
	19.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
	25.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
	32.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
	3.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
✓	2.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))

Compiler

Compiled 1 830 to 1 142 computations (37.6% saved)

sample0.0ms (0.0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/2
1
-1
1/4
2

Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1/4 binary64)
#s(literal 2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 7 to 7 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series46.0ms (1.1%)

Memory

13.3MiB live, 59.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	612	4078

Stop Event

1×	iter-limit

Counts

37 → 124

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
6.0ms	x	-inf
4.0ms	x	0
4.0ms	x	inf

rewrite196.0ms (4.6%)

Memory

-5.6MiB live, 607.0MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	385
0	79	355
1	361	325
2	1569	305
0	4245	269

Stop Event

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

Counts

37 → 1 278

Calls

Call 1

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

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

eval202.0ms (4.8%)

Memory: 8.6MiB live, 331.8MiB allocated; 58ms collecting garbage
Compiler: Compiled 60 972 to 7 739 computations (87.3% saved)

prune72.0ms (1.7%)

Memory

2.5MiB live, 185.9MiB allocated; 33ms collecting garbage

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	1 519	19	1 538
Fresh	18	9	27
Picked	5	0	5
Done	-2	5	3
Total	1 540	33	1 573

Accuracy

100.0%

Counts

1 573 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.9%	(fma.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	8.1%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))
	47.1%	(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x x)))
	27.2%	(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
	32.0%	(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
✓	45.3%	(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
▶	45.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
✓	45.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	45.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 (*.f64 x x) x)))
	45.4%	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
	99.1%	(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	98.6%	(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	97.3%	(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	99.1%	(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
▶	99.3%	(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64)) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	46.8%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.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)) (sqrt.f64 (fma.f64 x x x)))
▶	97.1%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
	80.4%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x)))) (sqrt.f64 (fma.f64 x x x)))
▶	80.4%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x x)))
	96.9%	(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	97.2%	(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(approx (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (/ 1 (* x (sqrt (/ 1 x)))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (-.f64 x #s(literal -1 binary64)))
	95.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) x)) x)))))
✓	45.3%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	34.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
	97.1%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(approx (- (sqrt ( (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) x)) x))))
	80.4%	#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 x) x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (.f64 x x)))
	97.2%	#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (/.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) x))
	2.6%	#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (/.f64 (-.f64 (sqrt.f64 x) x) x))
✓	2.6%	#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
	80.3%	#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (sqrt.f64 x) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
▶	2.6%	#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) #s(approx (/ (- 1 (sqrt x)) (sqrt x)) #s(literal -1 binary64)))
	36.3%	#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.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)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))) (pow.f64 x #s(literal 2 binary64))))
✓	2.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))

Compiler

Compiled 1 645 to 1 060 computations (35.6% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
-1
5/128
1
1/16
1/8
1/2

Outputs
#s(literal -1 binary64)
#s(literal 5/128 binary64)
#s(literal 1 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 8 to 8 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series82.0ms (1.9%)

Memory

14.6MiB live, 150.9MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	672	4931

Stop Event

1×	iter-limit

Counts

39 → 156

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
17.0ms	x	0
13.0ms	x	-inf
4.0ms	x	inf

rewrite234.0ms (5.5%)

Memory

-1.7MiB live, 476.9MiB allocated; 98ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	399
0	82	351
1	377	329
2	1369	313
0	4275	307

Stop Event

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

Counts

39 → 957

Calls

Call 1

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

Outputs
x
#s(literal -1 binary64)
#s(literal 5/128 binary64)
#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 (/.f64 (sqrt.f64 x) x)) (neg.f64 (/.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #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 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) 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 #s(literal 1 binary64) (neg.f64 x)) (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 x (neg.f64 x)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 x x))
(/.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 (.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (neg.f64 x))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x)))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) (neg.f64 (neg.f64 x))))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 x x))
(/.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) (neg.f64 (neg.f64 x))))
(/.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) x))
(/.f64 (.f64 (sqrt.f64 x) #s(literal -1 binary64)) (.f64 (sqrt.f64 x) (neg.f64 x)))
(/.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (neg.f64 (neg.f64 x))))
(/.f64 (.f64 x #s(literal 1 binary64)) (.f64 x x))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (.f64 (neg.f64 (neg.f64 x)) (neg.f64 (sqrt.f64 x))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (.f64 x (neg.f64 (sqrt.f64 x))))
(/.f64 (.f64 x #s(literal -1 binary64)) (.f64 x (neg.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 x)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (neg.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x x)) #s(approx (- (sqrt (- x -1)) (sqrt x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x x x)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 x x x))))

eval134.0ms (3.2%)

Memory: 24.0MiB live, 253.2MiB allocated; 25ms collecting garbage
Compiler: Compiled 42 408 to 7 338 computations (82.7% saved)

prune48.0ms (1.1%)

Memory

9.8MiB live, 108.2MiB allocated; 8ms collecting garbage

Pruning

37 alts after pruning (30 fresh and 7 done)

	Pruned	Kept	Total
New	1 184	17	1 201
Fresh	10	13	23
Picked	5	0	5
Done	-2	7	5
Total	1 197	37	1 234

Accuracy

100.0%

Counts

1 234 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.9%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	7.9%	(fma.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	8.1%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))
	47.1%	(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x x)))
	27.2%	(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
	32.0%	(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
✓	45.3%	(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
✓	45.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
✓	45.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	45.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 (*.f64 x x) x)))
	45.4%	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
	99.3%	(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 5/128 binary64) x) #s(literal 1/16 binary64)) x)) x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	98.6%	(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	82.3%	(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 5/128 binary64) x) #s(literal 1/16 binary64)) x))) #s(literal 1 binary64)) (*.f64 x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	97.3%	(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	99.3%	(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64)) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)) x))) (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)))
	95.7%	(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64)) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)) x))) (exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))))
	99.1%	(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(approx (* -1 (/ (- (* 5/128 (/ 1 x)) 1/16) x)) (/.f64 #s(literal 1/16 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	80.4%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x)) (sqrt.f64 (fma.f64 x x x)))
	80.4%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x)))) (sqrt.f64 (fma.f64 x x x)))
	97.2%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
	97.2%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))) #s(approx (sqrt (+ ( x x) x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
	96.9%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) #s(approx (/ 1/2 (* x (sqrt (/ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
	80.4%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) #s(approx (* (/ 1/2 x) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (fma.f64 x x x)))
	97.2%	(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(approx (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (/ 1 (* x (sqrt (/ 1 x)))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (-.f64 x #s(literal -1 binary64)))
	96.0%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	25.8%	(-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
✓	45.3%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	97.0%	(.f64 (/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 (sqrt.f64 x) x))
	97.2%	(.f64 (/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	45.4%	(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (/.f64 (sqrt.f64 x) x))
	80.4%	#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 x) x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (.f64 x x)))
	97.2%	#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (/.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) x))
	2.6%	#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (/.f64 (-.f64 (sqrt.f64 x) x) x))
✓	2.6%	#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
✓	2.6%	#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) #s(approx (/ (- 1 (sqrt x)) (sqrt x)) #s(literal -1 binary64)))
✓	2.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))

Compiler

Compiled 833 to 588 computations (29.4% saved)

regimes253.0ms (6.0%)

Memory

-1.4MiB live, 324.0MiB allocated; 105ms collecting garbage

Counts

1 → 1

4 → 1

29 → 1

61 → 1

63 → 1

76 → 1

91 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Call 4

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

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

Call 5

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

Outputs

(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(approx (* -1 (/ (- (* 5/128 (/ 1 x)) 1/16) x)) (/.f64 #s(literal 1/16 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))

Call 6

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

Outputs

(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 5/128 binary64) x) #s(literal 1/16 binary64)) x)) x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))

Call 7

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

Outputs

(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64)) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)) x))) (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)))

Calls

14 calls:

33.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
30.0ms	x
25.0ms	x
19.0ms	x
14.0ms	x

Results

Accuracy	Segments	Branch
2.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
2.6%	1	`x`
2.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
2.6%	1	`x`
97.3%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.3%	1	`x`
98.6%	1	`x`
98.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.1%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.1%	1	`x`
99.3%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.3%	1	`x`
99.3%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.3%	1	`x`

Compiler

Compiled 2 561 to 506 computations (80.2% saved)

derivations78.0ms (1.8%)

Memory

-5.9MiB live, 43.1MiB allocated; 7ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 196 to 80 computations (59.2% saved)

preprocess59.0ms (1.4%)

Memory: -0.6MiB live, 90.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 623 to 396 computations (36.4% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze6.0ms (0.1%)

sample1.6s (37.6%)

preprocess33.0ms (0.8%)

sample0.0ms (0.0%)

series22.0ms (0.5%)

rewrite125.0ms (3.0%)

eval64.0ms (1.5%)

prune49.0ms (1.2%)

sample0.0ms (0.0%)

series99.0ms (2.3%)

rewrite255.0ms (6.0%)

eval526.0ms (12.4%)

prune59.0ms (1.4%)

sample0.0ms (0.0%)

series46.0ms (1.1%)

rewrite196.0ms (4.6%)

eval202.0ms (4.8%)

prune72.0ms (1.7%)

sample0.0ms (0.0%)

series82.0ms (1.9%)

rewrite234.0ms (5.5%)

eval134.0ms (3.2%)

prune48.0ms (1.1%)

regimes253.0ms (6.0%)

derivations78.0ms (1.8%)

preprocess59.0ms (1.4%)

end0.0ms (0.0%)

Profiling