Metrics for 2isqrt (example 3.6)

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.8s (49%)

Memory

6.7MiB live, 2 581.8MiB allocated; 1.3s collecting garbage

Samples

776.0ms	6 074×	1	valid
704.0ms	2 087×	2	valid
4.0ms	95×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 888.0ms

ival-sqrt: 337.0ms (37.9% of total)

adjust: 250.0ms (28.1% of total)

ival-div!: 218.0ms (24.5% of total)

ival-add!: 42.0ms (4.7% of total)

ival-sub!: 41.0ms (4.6% of total)

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

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

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

Bogosity

preprocess34.0ms (0.9%)

Memory

-14.0MiB live, 31.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.0%	(-.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)

series25.0ms (0.7%)

Memory

-0.6MiB live, 50.4MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	1140

Stop Event

1×	iter-limit

Counts

8 → 40

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite111.0ms (3%)

Memory

32.8MiB live, 268.1MiB allocated; 16ms 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
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))

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

eval83.0ms (2.3%)

Memory: -21.1MiB live, 234.6MiB allocated; 42ms collecting garbage
Compiler: Compiled 12 661 to 2 060 computations (83.7% saved)

prune54.0ms (1.5%)

Memory

-0.0MiB live, 129.8MiB allocated; 22ms collecting garbage

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	589	37	626
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	590	37	627

Accuracy

66.3%

Counts

627 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.1%	(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))))
▶	6.6%	(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)))))
	6.8%	(/.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))
	6.4%	(/.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)))))
	4.5%	(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	5.6%	(/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))))
	5.7%	(/.f64 (-.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x x)))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
▶	5.8%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) (.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))) (sqrt.f64 (.f64 (fma.f64 x x x) x)))
	6.4%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) (*.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x x))))
	37.0%	(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	4.6%	(/.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)))
	37.1%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
▶	37.1%	(/.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)))
	37.0%	(/.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))) x)
	5.3%	(/.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)))))
	37.1%	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
	6.6%	(-.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	24.6%	(-.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)))))
▶	6.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x x))))
	24.5%	(-.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)))))))
	6.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 (sqrt.f64 x)))))
	5.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
	6.7%	(-.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)))))
	6.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (fma.f64 x x x))))
	27.2%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
	6.4%	(-.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))))
	6.3%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)))
▶	2.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
	29.4%	(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	22.9%	(-.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)))))
	27.2%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	6.7%	(-.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)))))
	20.7%	#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))))
	28.3%	#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))))
	32.6%	#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))))
	36.2%	#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)))

Compiler

Compiled 1 518 to 942 computations (37.9% saved)

series140.0ms (3.8%)

Memory

33.3MiB live, 212.3MiB allocated; 68ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1031	7015

Stop Event

1×	iter-limit

Counts

29 → 202

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
18.0ms	x	inf
17.0ms	x	-inf
6.0ms	x	0

rewrite244.0ms (6.6%)

Memory

2.2MiB live, 315.9MiB allocated; 150ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	242
0	59	237
1	326	221
2	1250	217
0	4103	199

Stop Event

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

Counts

29 → 1 196

Calls

Call 1

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

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

eval206.0ms (5.6%)

Memory: 59.4MiB live, 306.3MiB allocated; 88ms collecting garbage
Compiler: Compiled 44 988 to 5 684 computations (87.4% saved)

prune53.0ms (1.4%)

Memory

33.7MiB live, 79.4MiB allocated; 7ms collecting garbage

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	1 453	17	1 470
Fresh	26	6	32
Picked	5	0	5
Done	0	0	0
Total	1 484	23	1 507

Accuracy

99.8%

Counts

1 507 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.3%	(/.f64 (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (-.f64 x #s(literal -1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
	6.8%	(/.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))
	20.6%	(/.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)))
	19.8%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) 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))))))
	37.1%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	3.5%	(/.f64 (-.f64 (sqrt.f64 (.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) x))) (.f64 (sqrt.f64 (.f64 (fma.f64 x x x) x)) x)) (*.f64 (fma.f64 x x x) x))
	37.1%	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
	66.0%	(/.f64 #s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) (sqrt.f64 (.f64 (fma.f64 x x x) x)))
▶	66.0%	(/.f64 #s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (-.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)))) (sqrt.f64 (.f64 (fma.f64 x x x) x)))
▶	65.8%	(/.f64 #s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (.f64 (fma.f64 x x x) x)))
	65.1%	(/.f64 #s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))
	98.0%	(/.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)))
	70.3%	(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.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))))) x)) (-.f64 x #s(literal -1 binary64)))
▶	98.2%	(/.f64 #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))))) (-.f64 x #s(literal -1 binary64)))
	5.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
	24.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ (sqrt x) (sqrt (+ (* x x) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
▶	27.2%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	80.7%	#s(approx (/ (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (sqrt (* (+ (* x 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 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64))))
	53.0%	#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))))
▶	5.6%	#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (sqrt.f64 x) x))
	80.7%	#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)))))
	3.2%	#s(approx (- (/ 1 (sqrt x)) (/ (sqrt x) (sqrt (+ (* x x) x)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	32.6%	#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))))

Compiler

Compiled 1 354 to 788 computations (41.8% saved)

series51.0ms (1.4%)

Memory

-38.5MiB live, 47.4MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	557	3700

Stop Event

1×	iter-limit

Counts

34 → 106

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
21.0ms	x	inf
6.0ms	x	0
4.0ms	x	-inf

rewrite127.0ms (3.4%)

Memory

3.0MiB live, 136.8MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	326
0	71	308
1	376	298
2	1342	292
0	4119	285

Stop Event

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

Counts

34 → 702

Calls

Call 1

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

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

eval116.0ms (3.1%)

Memory: -20.4MiB live, 166.6MiB allocated; 37ms collecting garbage
Compiler: Compiled 40 779 to 4 084 computations (90% saved)

prune61.0ms (1.6%)

Memory

-6.3MiB live, 58.2MiB allocated; 66ms collecting garbage

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	1 023	13	1 036
Fresh	9	9	18
Picked	3	2	5
Done	0	0	0
Total	1 035	24	1 059

Accuracy

100.0%

Counts

1 059 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.3%	(/.f64 (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (-.f64 x #s(literal -1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
▶	6.8%	(/.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))
	20.6%	(/.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)))
	37.1%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	3.5%	(/.f64 (-.f64 (sqrt.f64 (.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) x))) (.f64 (sqrt.f64 (.f64 (fma.f64 x x x) x)) x)) (*.f64 (fma.f64 x x x) x))
	37.1%	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
	66.0%	(/.f64 #s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) (sqrt.f64 (.f64 (fma.f64 x x x) x)))
	65.8%	(/.f64 #s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))
▶	81.6%	(/.f64 #s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))) (.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 x)))
	66.0%	(/.f64 #s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))
	65.1%	(/.f64 #s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))
	98.1%	(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) (-.f64 x #s(literal -1 binary64)))
▶	98.2%	(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal -1 binary64)))
	98.2%	(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 x))))) (-.f64 x #s(literal -1 binary64)))
✓	98.2%	(/.f64 #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))))) (-.f64 x #s(literal -1 binary64)))
▶	98.3%	(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))
	98.2%	(.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
	65.8%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (fma.f64 x x x) x))) #s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
✓	5.6%	#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (sqrt.f64 x) x))
	5.6%	#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x))))
▶	5.6%	#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	80.7%	#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)))))
	5.6%	#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))

Compiler

Compiled 1 280 to 748 computations (41.6% saved)

series41.0ms (1.1%)

Memory

4.5MiB live, 52.0MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	696	4372

Stop Event

1×	iter-limit

Counts

30 → 124

Calls

Call 1

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

Outputs
#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (sqrt.f64 x) 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 (- (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 (/ 1/2 (* x (sqrt (/ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))
#s(approx x x)
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (* (/ -1 (sqrt (- x -1))) (sqrt x)) 1) (sqrt x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (sqrt.f64 x)))
#s(approx (/ (+ (* (/ -1 (sqrt (- x -1))) (sqrt x)) 1) (sqrt x)) (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (+ (* (/ -1 (sqrt (- x -1))) (sqrt x)) 1) (sqrt x)) (+.f64 #s(literal -1 binary64) (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(approx (/ (+ (* (/ -1 (sqrt (- x -1))) (sqrt x)) 1) (sqrt x)) (+.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x))))) #s(literal 3/8 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (+ (* (/ -1 (sqrt (- x -1))) (sqrt x)) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (+ (* (/ -1 (sqrt (- x -1))) (sqrt x)) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x))))))
#s(approx (+ (* (/ -1 (sqrt (- x -1))) (sqrt x)) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (.f64 x (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))))))
#s(approx (+ (* (/ -1 (sqrt (- x -1))) (sqrt x)) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (.f64 x (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (.f64 x (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))))))))))
#s(approx (/ -1 (sqrt (- x -1))) #s(literal -1 binary64))
#s(approx (/ -1 (sqrt (- x -1))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ -1 (sqrt (- x -1))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/8 binary64) x))) #s(literal 1 binary64)))
#s(approx (/ -1 (sqrt (- x -1))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64))))) #s(literal 1 binary64)))
#s(approx (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 x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (* (sqrt (+ (* x x) x)) (sqrt x))) (/.f64 (-.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (/ (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (* (sqrt (+ (* x x) x)) (sqrt x))) (-.f64 (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) (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(literal 1 binary64)))
#s(approx (/ (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (* (sqrt (+ (* x x) x)) (sqrt x))) (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x (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) (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(literal 1 binary64)))
#s(approx (/ (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (* (sqrt (+ (* x x) x)) (sqrt x))) (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (sqrt.f64 x) (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) (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 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 x) (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(literal 1 binary64)))
#s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (-.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (-.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (-.f64 (+.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (-.f64 (+.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.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))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))))) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (- 1/2 (* 1/8 (/ 1 x))) (/.f64 #s(literal -1/8 binary64) x))
#s(approx (- 1/2 (* 1/8 (/ 1 x))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x))
#s(approx (* 1/8 (/ 1 x)) (/.f64 #s(literal 1/8 binary64) x))
#s(approx (* (sqrt (+ (* x x) x)) (sqrt x)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))
#s(approx (* (sqrt (+ (* x x) x)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (* (sqrt (+ (* x x) x)) (sqrt x)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (* (sqrt (+ (* x x) x)) (sqrt x)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.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))))))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) x)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))))
#s(approx (sqrt (+ (* x x) x)) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (+ (* x x) x)) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (+ (* x x) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (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 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 (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) (pow.f64 x #s(literal 2 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 1/2 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))) (/.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 (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 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.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))))) x))
#s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
#s(approx (* x (sqrt (/ 1 x))) (*.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 (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ (* (/ -1 (sqrt (- x -1))) (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 (/ (+ (* (/ -1 (sqrt (- x -1))) (sqrt x)) 1) (sqrt x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
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#s(approx (/ -1 (sqrt (- x -1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
#s(approx (/ -1 (sqrt (- x -1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) x)))
#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 x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (* (sqrt (+ (* x x) x)) (sqrt x))) (/.f64 (-.f64 (.f64 #s(literal 3/8 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 x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (* (sqrt (+ (* x x) x)) (sqrt x))) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 3/8 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 x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (* (sqrt (+ (* x x) x)) (sqrt x))) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) (.f64 #s(literal 3/8 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 x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) #s(literal -1/2 binary64))
#s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (-.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)))
#s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (-.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)))
#s(approx (* (sqrt (+ (* x x) x)) (sqrt x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) x)))))
#s(approx (* (sqrt (+ (* x x) x)) (sqrt x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (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 -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) x) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))))
#s(approx (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
4.0ms	x	-inf
4.0ms	x	inf
4.0ms	x	0

rewrite128.0ms (3.5%)

Memory

-2.2MiB live, 141.2MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	309
0	71	295
1	317	282
2	1204	279
0	4065	269

Stop Event

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

Counts

30 → 796

Calls

Call 1

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

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

eval115.0ms (3.1%)

Memory: 41.5MiB live, 173.9MiB allocated; 25ms collecting garbage
Compiler: Compiled 33 141 to 3 847 computations (88.4% saved)

prune46.0ms (1.3%)

Memory

-38.1MiB live, 59.2MiB allocated; 22ms collecting garbage

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	1 026	12	1 038
Fresh	6	11	17
Picked	1	4	5
Done	1	1	2
Total	1 034	28	1 062

Accuracy

100.0%

Counts

1 062 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	6.8%	(/.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))
	37.2%	(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))) (sqrt.f64 x))
	81.6%	(/.f64 (/.f64 #s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 x))
	81.6%	(/.f64 (/.f64 #s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	20.6%	(/.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)))
	37.1%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	37.1%	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
	66.0%	(/.f64 #s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) (sqrt.f64 (.f64 (fma.f64 x x x) x)))
	65.8%	(/.f64 #s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))
	66.0%	(/.f64 #s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))
	80.9%	(/.f64 #s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 x)))
	65.1%	(/.f64 #s(approx (- (sqrt (+ (* x x) x)) (* (sqrt (+ (* x x) x)) (sqrt (/ x (- x -1))))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))
	98.1%	(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) (-.f64 x #s(literal -1 binary64)))
	98.1%	(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 x)))) (-.f64 x #s(literal -1 binary64)))
✓	98.2%	(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal -1 binary64)))
	98.2%	(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 x))))) (-.f64 x #s(literal -1 binary64)))
	98.0%	(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))))) (-.f64 x #s(literal -1 binary64)))
✓	98.3%	(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x)))) (-.f64 x #s(literal -1 binary64)))
	98.3%	(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x)))) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x))
	5.6%	(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x)))) #s(approx (- x -1) #s(literal 1 binary64)))
	96.0%	(/.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) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))))
	6.8%	(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
	98.2%	(.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
	98.2%	(.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) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x)))))
	35.2%	#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (sqrt.f64 x))))
✓	5.6%	#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (sqrt.f64 x) x))
✓	5.6%	#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	5.6%	#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))

Compiler

Compiled 788 to 477 computations (39.5% saved)

regimes85.0ms (2.3%)

Memory

32.1MiB live, 121.3MiB allocated; 14ms collecting garbage

Accuracy

Total -1.9b remaining (-1.2%)

Threshold costs -1.9b (-1.2%)

Counts

6 → 1

7 → 1

8 → 1

20 → 1

80 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Call 4

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

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

Call 5

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

Outputs

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

Calls

10 calls:

25.0ms	x
14.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
9.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
6.0ms	x
3.0ms	x

Results

Accuracy	Segments	Branch
5.6%	1	`x`
5.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
5.6%	1	`x`
5.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
35.2%	1	`x`
35.2%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.3%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.3%	1	`x`
98.3%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.3%	1	`x`

Compiler

Compiled 2 163 to 399 computations (81.6% saved)

derivations65.0ms (1.8%)

Memory

6.8MiB live, 60.6MiB allocated; 26ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 151 to 33 computations (78.1% saved)

preprocess94.0ms (2.5%)

Memory: 0.3MiB live, 88.9MiB allocated; 45ms collecting garbage
Remove: (abs x)
Compiler: Compiled 488 to 237 computations (51.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.1%)

sample1.8s (49%)

preprocess34.0ms (0.9%)

series25.0ms (0.7%)

rewrite111.0ms (3%)

eval83.0ms (2.3%)

prune54.0ms (1.5%)

series140.0ms (3.8%)

rewrite244.0ms (6.6%)

eval206.0ms (5.6%)

prune53.0ms (1.4%)

series51.0ms (1.4%)

rewrite127.0ms (3.4%)

eval116.0ms (3.1%)

prune61.0ms (1.6%)

series41.0ms (1.1%)

rewrite128.0ms (3.5%)

eval115.0ms (3.1%)

prune46.0ms (1.3%)

regimes85.0ms (2.3%)

derivations65.0ms (1.8%)

preprocess94.0ms (2.5%)

end0.0ms (0%)

Profiling