Metrics for 2isqrt (example 3.6)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB 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)

sample1.5s (46.9%)

Memory

66.9MiB live, 1 444.1MiB allocated; 398ms collecting garbage

Samples

718.0ms	6 205×	1	valid
464.0ms	1 926×	2	valid
6.0ms	125×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 948.0ms

ival-sqrt: 468.0ms (49.4% of total)

ival-div!: 212.0ms (22.4% of total)

adjust: 187.0ms (19.7% of total)

ival-add!: 41.0ms (4.3% of total)

ival-sub!: 40.0ms (4.2% of total)

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

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

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

Bogosity

preprocess48.0ms (1.5%)

Memory

0.1MiB live, 44.4MiB allocated; 9ms 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
▶	39.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Symmetry

(abs x)

Compiler

Compiled 20 to 16 computations (20% saved)

series19.0ms (0.6%)

Memory

-17.7MiB live, 27.8MiB allocated; 5ms 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	Expression
8.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
2.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
1.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

Time

Variable

Point

Expression

8.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

rewrite54.0ms (1.7%)

Memory

-10.7MiB live, 43.2MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
0	14	32
1	81	28
0	890	28

Stop Event

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

Counts

8 → 121

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

eval14.0ms (0.5%)

Memory: 24.6MiB live, 24.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 671 to 619 computations (63% saved)

prune29.0ms (0.9%)

Memory

-5.5MiB live, 39.2MiB allocated; 6ms collecting garbage

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	123	33	156
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	33	157

Accuracy

71.3%

Counts

157 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.6%	(fma.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)))))
	39.3%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))))
	39.6%	(/.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	39.5%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))
	39.7%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (.f64 (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	39.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	35.6%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))) (sqrt.f64 x))
	32.8%	(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	39.4%	(-.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 x))))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 x))))))
▶	26.7%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	32.9%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
	6.2%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))))
	8.3%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
	39.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x))))
	8.3%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))))
	6.2%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))))))
▶	39.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	8.3%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))))
	39.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x))))
	8.2%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))))
	5.8%	(-.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)))))
	25.3%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))))
▶	8.2%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))))
▶	2.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
	8.3%	(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	30.8%	(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	8.3%	(-.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	39.7%	(.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64))))))
	26.4%	#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))))
	32.4%	#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))))
	35.7%	#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))))
	37.9%	#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)))))
	3.6%	#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 1 132 to 932 computations (17.7% saved)

series117.0ms (3.7%)

Memory

-8.6MiB live, 80.0MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	604	3929

Stop Event

1×	iter-limit

Counts

28 → 126

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

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

Calls

3 calls:

Time	Variable		Point	Expression
59.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (+ x 1))) (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1)))) (sqrt (* x (- x -1))) (* x (- x -1)) (- (/ 1 (sqrt x)) (exp (* (log (sqrt (- x -1))) -1))) (exp (* (log (sqrt (- x -1))) -1)) (* (log (sqrt (- x -1))) -1) (log (sqrt (- x -1))) (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) (/ 1 (* (pow x 1/4) (pow x 1/4))) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4 (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
30.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (+ x 1))) (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1)))) (sqrt (* x (- x -1))) (* x (- x -1)) (- (/ 1 (sqrt x)) (exp (* (log (sqrt (- x -1))) -1))) (exp (* (log (sqrt (- x -1))) -1)) (* (log (sqrt (- x -1))) -1) (log (sqrt (- x -1))) (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) (/ 1 (* (pow x 1/4) (pow x 1/4))) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4 (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
11.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (+ x 1))) (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1)))) (sqrt (* x (- x -1))) (* x (- x -1)) (- (/ 1 (sqrt x)) (exp (* (log (sqrt (- x -1))) -1))) (exp (* (log (sqrt (- x -1))) -1)) (* (log (sqrt (- x -1))) -1) (log (sqrt (- x -1))) (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) (/ 1 (* (pow x 1/4) (pow x 1/4))) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4 (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

Time

Variable

Point

Expression

59.0ms

-inf

((- (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (+ x 1))) (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1)))) (sqrt (* x (- x -1))) (* x (- x -1)) (- (/ 1 (sqrt x)) (exp (* (log (sqrt (- x -1))) -1))) (exp (* (log (sqrt (- x -1))) -1)) (* (log (sqrt (- x -1))) -1) (log (sqrt (- x -1))) (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) (/ 1 (* (pow x 1/4) (pow x 1/4))) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4 (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

30.0ms

((- (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (+ x 1))) (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1)))) (sqrt (* x (- x -1))) (* x (- x -1)) (- (/ 1 (sqrt x)) (exp (* (log (sqrt (- x -1))) -1))) (exp (* (log (sqrt (- x -1))) -1)) (* (log (sqrt (- x -1))) -1) (log (sqrt (- x -1))) (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) (/ 1 (* (pow x 1/4) (pow x 1/4))) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4 (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

11.0ms

inf

((- (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (+ x 1))) (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1)))) (sqrt (* x (- x -1))) (* x (- x -1)) (- (/ 1 (sqrt x)) (exp (* (log (sqrt (- x -1))) -1))) (exp (* (log (sqrt (- x -1))) -1)) (* (log (sqrt (- x -1))) -1) (log (sqrt (- x -1))) (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) (/ 1 (* (pow x 1/4) (pow x 1/4))) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4 (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

rewrite93.0ms (2.9%)

Memory

13.3MiB live, 107.6MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	178
0	54	154
1	260	136
0	2060	131

Stop Event

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

Counts

28 → 808

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

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

eval173.0ms (5.4%)

Memory: -8.3MiB live, 149.7MiB allocated; 166ms collecting garbage
Compiler: Compiled 8 290 to 2 525 computations (69.5% saved)

prune49.0ms (1.5%)

Memory

-22.5MiB live, 76.1MiB allocated; 18ms collecting garbage

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	764	25	789
Fresh	26	2	28
Picked	3	2	5
Done	0	0	0
Total	793	29	822

Accuracy

85.3%

Counts

822 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.4%	(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	41.7%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))))
	39.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	39.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	35.6%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))) (sqrt.f64 x))
	39.7%	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
	41.7%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (-.f64 (-.f64 x #s(literal -1 binary64)) x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
▶	39.7%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
	23.5%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
▶	27.7%	(-.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)))))
✓	39.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	5.8%	(-.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)))))
	31.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
✓	2.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
	30.8%	(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	41.7%	(.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64))))))
	39.7%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
▶	39.7%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))))
	39.7%	(.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
	38.6%	(.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt ( x (- x -1))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))))
	37.9%	(.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(approx (/ 1 (sqrt ( x (- x -1)))) (/.f64 #s(literal 1 binary64) x)))
	53.1%	(.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))
	82.3%	(.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))
	35.7%	#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))))
	37.9%	#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)))))
	3.6%	#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)))
▶	82.4%	#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64))))
▶	2.5%	#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
	82.2%	#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 861 to 805 computations (6.5% saved)

series47.0ms (1.5%)

Memory

37.2MiB live, 82.0MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	727	4725

Stop Event

1×	iter-limit

Counts

36 → 141

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	((* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/4 (/ 1 (* x (sqrt (/ 1 x)))))) (pow x 2)) (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/4 (/ 1 (* x (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))) 1/2 (/ 1 (sqrt (/ 1 x))) 1 (sqrt (/ 1 x)) (/ 1 x) x (* 1/4 (/ 1 (* x (sqrt (/ 1 x))))) 1/4 (/ 1 (* x (sqrt (/ 1 x)))) (* x (sqrt (/ 1 x))) (pow x 2) 2 (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (- 1 (sqrt x)) (sqrt x)) (- 1 (sqrt x)) (sqrt x) (* (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1))))) (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1)))) (sqrt (/ x (- x -1))) (/ x (- x -1)) (- x -1) -1 (- (/ 1 (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (/ 1 (sqrt (- x -1)))) (/ 1 (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)) (/ 1 (sqrt (- x -1))) (sqrt (- x -1)) (/ (* (- 1 (sqrt (/ x (- x -1)))) (/ 1 (sqrt (sqrt x)))) (sqrt (sqrt x))) (* (- 1 (sqrt (/ x (- x -1)))) (/ 1 (sqrt (sqrt x)))) (/ 1 (sqrt (sqrt x))))
7.0ms	x	@	0	((* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/4 (/ 1 (* x (sqrt (/ 1 x)))))) (pow x 2)) (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/4 (/ 1 (* x (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))) 1/2 (/ 1 (sqrt (/ 1 x))) 1 (sqrt (/ 1 x)) (/ 1 x) x (* 1/4 (/ 1 (* x (sqrt (/ 1 x))))) 1/4 (/ 1 (* x (sqrt (/ 1 x)))) (* x (sqrt (/ 1 x))) (pow x 2) 2 (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (- 1 (sqrt x)) (sqrt x)) (- 1 (sqrt x)) (sqrt x) (* (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1))))) (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1)))) (sqrt (/ x (- x -1))) (/ x (- x -1)) (- x -1) -1 (- (/ 1 (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (/ 1 (sqrt (- x -1)))) (/ 1 (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)) (/ 1 (sqrt (- x -1))) (sqrt (- x -1)) (/ (* (- 1 (sqrt (/ x (- x -1)))) (/ 1 (sqrt (sqrt x)))) (sqrt (sqrt x))) (* (- 1 (sqrt (/ x (- x -1)))) (/ 1 (sqrt (sqrt x)))) (/ 1 (sqrt (sqrt x))))
6.0ms	x	@	inf	((* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/4 (/ 1 (* x (sqrt (/ 1 x)))))) (pow x 2)) (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/4 (/ 1 (* x (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))) 1/2 (/ 1 (sqrt (/ 1 x))) 1 (sqrt (/ 1 x)) (/ 1 x) x (* 1/4 (/ 1 (* x (sqrt (/ 1 x))))) 1/4 (/ 1 (* x (sqrt (/ 1 x)))) (* x (sqrt (/ 1 x))) (pow x 2) 2 (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (- 1 (sqrt x)) (sqrt x)) (- 1 (sqrt x)) (sqrt x) (* (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1))))) (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1)))) (sqrt (/ x (- x -1))) (/ x (- x -1)) (- x -1) -1 (- (/ 1 (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (/ 1 (sqrt (- x -1)))) (/ 1 (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)) (/ 1 (sqrt (- x -1))) (sqrt (- x -1)) (/ (* (- 1 (sqrt (/ x (- x -1)))) (/ 1 (sqrt (sqrt x)))) (sqrt (sqrt x))) (* (- 1 (sqrt (/ x (- x -1)))) (/ 1 (sqrt (sqrt x)))) (/ 1 (sqrt (sqrt x))))

Time

Variable

Point

Expression

13.0ms

-inf

((* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/4 (/ 1 (* x (sqrt (/ 1 x)))))) (pow x 2)) (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/4 (/ 1 (* x (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))) 1/2 (/ 1 (sqrt (/ 1 x))) 1 (sqrt (/ 1 x)) (/ 1 x) x (* 1/4 (/ 1 (* x (sqrt (/ 1 x))))) 1/4 (/ 1 (* x (sqrt (/ 1 x)))) (* x (sqrt (/ 1 x))) (pow x 2) 2 (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (- 1 (sqrt x)) (sqrt x)) (- 1 (sqrt x)) (sqrt x) (* (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1))))) (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1)))) (sqrt (/ x (- x -1))) (/ x (- x -1)) (- x -1) -1 (- (/ 1 (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (/ 1 (sqrt (- x -1)))) (/ 1 (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)) (/ 1 (sqrt (- x -1))) (sqrt (- x -1)) (/ (* (- 1 (sqrt (/ x (- x -1)))) (/ 1 (sqrt (sqrt x)))) (sqrt (sqrt x))) (* (- 1 (sqrt (/ x (- x -1)))) (/ 1 (sqrt (sqrt x)))) (/ 1 (sqrt (sqrt x))))

7.0ms

((* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/4 (/ 1 (* x (sqrt (/ 1 x)))))) (pow x 2)) (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/4 (/ 1 (* x (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))) 1/2 (/ 1 (sqrt (/ 1 x))) 1 (sqrt (/ 1 x)) (/ 1 x) x (* 1/4 (/ 1 (* x (sqrt (/ 1 x))))) 1/4 (/ 1 (* x (sqrt (/ 1 x)))) (* x (sqrt (/ 1 x))) (pow x 2) 2 (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (- 1 (sqrt x)) (sqrt x)) (- 1 (sqrt x)) (sqrt x) (* (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1))))) (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1)))) (sqrt (/ x (- x -1))) (/ x (- x -1)) (- x -1) -1 (- (/ 1 (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (/ 1 (sqrt (- x -1)))) (/ 1 (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)) (/ 1 (sqrt (- x -1))) (sqrt (- x -1)) (/ (* (- 1 (sqrt (/ x (- x -1)))) (/ 1 (sqrt (sqrt x)))) (sqrt (sqrt x))) (* (- 1 (sqrt (/ x (- x -1)))) (/ 1 (sqrt (sqrt x)))) (/ 1 (sqrt (sqrt x))))

6.0ms

inf

((* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/4 (/ 1 (* x (sqrt (/ 1 x)))))) (pow x 2)) (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/4 (/ 1 (* x (sqrt (/ 1 x)))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))) 1/2 (/ 1 (sqrt (/ 1 x))) 1 (sqrt (/ 1 x)) (/ 1 x) x (* 1/4 (/ 1 (* x (sqrt (/ 1 x))))) 1/4 (/ 1 (* x (sqrt (/ 1 x)))) (* x (sqrt (/ 1 x))) (pow x 2) 2 (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (- 1 (sqrt x)) (sqrt x)) (- 1 (sqrt x)) (sqrt x) (* (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1))))) (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1)))) (sqrt (/ x (- x -1))) (/ x (- x -1)) (- x -1) -1 (- (/ 1 (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (/ 1 (sqrt (- x -1)))) (/ 1 (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)) (/ 1 (sqrt (- x -1))) (sqrt (- x -1)) (/ (* (- 1 (sqrt (/ x (- x -1)))) (/ 1 (sqrt (sqrt x)))) (sqrt (sqrt x))) (* (- 1 (sqrt (/ x (- x -1)))) (/ 1 (sqrt (sqrt x)))) (/ 1 (sqrt (sqrt x))))

rewrite149.0ms (4.7%)

Memory

-23.9MiB live, 164.9MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	294
0	73	262
1	325	197
0	3288	194

Stop Event

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

Counts

36 → 1 243

Calls

Call 1

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

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

eval129.0ms (4%)

Memory: 13.0MiB live, 199.0MiB allocated; 39ms collecting garbage
Compiler: Compiled 12 845 to 4 445 computations (65.4% saved)

prune110.0ms (3.4%)

Memory

7.7MiB live, 64.1MiB allocated; 10ms collecting garbage

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	1 080	13	1 093
Fresh	9	13	22
Picked	4	1	5
Done	0	2	2
Total	1 093	29	1 122

Accuracy

100.0%

Counts

1 122 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.7%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))))
	39.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	39.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	35.6%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))) (sqrt.f64 x))
	39.7%	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
	41.7%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (-.f64 (-.f64 x #s(literal -1 binary64)) x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
	96.4%	(/.f64 (*.f64 #s(approx (- 1 (sqrt (/ x (- x -1)))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
	51.6%	(/.f64 #s(approx (* (- 1 (sqrt (/ x (- x -1)))) (/ 1 (sqrt (sqrt x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))) (sqrt.f64 (sqrt.f64 x)))
▶	39.7%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))))
✓	39.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	31.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
✓	2.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
	30.8%	(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	41.7%	(.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64))))))
▶	97.8%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (- 1 (sqrt (/ x (- x -1)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x))) x)))
	96.6%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (- 1 (sqrt (/ x (- x -1)))) (/.f64 #s(literal 1/2 binary64) x)))
	38.6%	(.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt ( x (- x -1))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))))
	37.9%	(.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(approx (/ 1 (sqrt ( x (- x -1)))) (/.f64 #s(literal 1 binary64) x)))
	82.3%	(.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))
	96.8%	#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (fma.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 x) x)) (.f64 x x))))
	82.3%	#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 x) x))) (pow.f64 x #s(literal 2 binary64))))
	82.5%	#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 x) x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (.f64 x x)))
▶	96.9%	#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) x))
	2.5%	#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/.f64 (-.f64 (sqrt.f64 x) x) x))
✓	2.5%	#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
	82.4%	#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 x) x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))))
	82.2%	#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
	82.4%	#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 x) x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
▶	2.5%	#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) #s(approx (/ (- 1 (sqrt x)) (sqrt x)) #s(literal -1 binary64)))

Compiler

Compiled 921 to 863 computations (6.3% saved)

series48.0ms (1.5%)

Memory

-3.9MiB live, 86.7MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	832	5029

Stop Event

1×	iter-limit

Counts

35 → 153

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (* (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1))))) (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (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 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1))))) (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (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 #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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (- 1 (sqrt (/ x (- x -1)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- 1 (sqrt (/ x (- x -1)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))) (sqrt.f64 x)))
#s(approx (- 1 (sqrt (/ x (- x -1)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (sqrt.f64 x)))
#s(approx (- 1 (sqrt (/ x (- x -1)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (sqrt.f64 x)))
#s(approx (/ (- 1/2 (* 3/8 (/ 1 x))) x) (/.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (- 1/2 (* 3/8 (/ 1 x))) x) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1/2 (* 3/8 (/ 1 x))) (/.f64 #s(literal -3/8 binary64) x))
#s(approx (- 1/2 (* 3/8 (/ 1 x))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3/8 binary64)) x))
#s(approx (* 3/8 (/ 1 x)) (/.f64 #s(literal 3/8 binary64) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (-.f64 (fma.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (-.f64 (fma.f64 x (fma.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (/ (sqrt x) (- 1 (sqrt (/ x (- x -1))))) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ (sqrt x) (- 1 (sqrt (/ x (- x -1))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (sqrt x) (- 1 (sqrt (/ x (- x -1))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (sqrt x) (- 1 (sqrt (/ x (- x -1))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (.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 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (sqrt (/ x (- x -1))) (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))))
#s(approx (sqrt (/ x (- x -1))) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (/ x (- x -1))) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (/ x (- x -1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
#s(approx (/ x (- x -1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
#s(approx (/ x (- x -1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))))))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) x) (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) x) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x)))) x))
#s(approx (/ (sqrt x) x) (/.f64 (sqrt.f64 x) x))
#s(approx (* (sqrt x) 1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (- (- x -1) x) (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (- x -1) x) (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (/ (- (- x -1) x) (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x)))) (fma.f64 x (-.f64 (.f64 x (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
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#s(approx (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (fma.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x)) (.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (.f64 x (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 x) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))) (.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))))
#s(approx (sqrt (- x -1)) (+.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)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))))
#s(approx (sqrt (+ (* x x) x)) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (+ (* x x) x)) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (+ (* x x) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (* (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- 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 (* (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- 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 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1))))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 3/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64))))
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#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 (- x -1)))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (- 1 (sqrt (/ x (- x -1)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (- 1 (sqrt (/ x (- x -1)))) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (- 1 (sqrt (/ x (- x -1)))) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x))
#s(approx (- 1/2 (* 3/8 (/ 1 x))) #s(literal 1/2 binary64))
#s(approx (- 1/2 (* 3/8 (/ 1 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64))))
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#s(approx (/ (- 1 (sqrt x)) (sqrt x)) #s(literal -1 binary64))
#s(approx (/ (- 1 (sqrt x)) (sqrt x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
#s(approx (/ (sqrt x) (- 1 (sqrt (/ x (- x -1))))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (sqrt x) (- 1 (sqrt (/ x (- x -1))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (sqrt x) (- 1 (sqrt (/ x (- x -1))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -9/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 5/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -3/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))
#s(approx (/ (sqrt x) (- 1 (sqrt (/ x (- x -1))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -35/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3/4 binary64) (fma.f64 #s(literal -9/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 5/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 15/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -9/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ x (- x -1))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (/ x (- x -1))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (/ x (- x -1))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
#s(approx (/ x (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (- x -1)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (- x -1)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (/ (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) x) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
#s(approx (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) (fma.f64 #s(literal -1/4 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)))))
#s(approx (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) (.f64 x (fma.f64 #s(literal -1/4 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))))))
#s(approx (/ (sqrt x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
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#s(approx (sqrt (- x -1)) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ (* x x) x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (+ (* x x) x)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* x x) x)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* x x) x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* x x) x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
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#s(approx (sqrt x) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- 1 (sqrt (/ x (- x -1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)))
#s(approx (- 1 (sqrt (/ x (- x -1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3/8 binary64)) x)) #s(literal 1/2 binary64)) x)))
#s(approx (- 1 (sqrt (/ x (- x -1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 5/16 binary64)) x)) #s(literal 3/8 binary64)) x)) #s(literal 1/2 binary64)) x)))
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#s(approx (/ (sqrt x) (- 1 (sqrt (/ x (- x -1))))) (.f64 #s(literal -2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (sqrt x) (- 1 (sqrt (/ x (- x -1))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -3/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))
#s(approx (/ (sqrt x) (- 1 (sqrt (/ x (- x -1))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -5/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 #s(literal 9/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) (.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))))
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#s(approx (sqrt (/ x (- x -1))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x))))
#s(approx (/ x (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
#s(approx (/ x (- x -1)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) x))))
#s(approx (/ (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (/ (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) x) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
#s(approx (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1/4 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)))))))
#s(approx (/ (sqrt x) x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (- x -1) x) (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) x) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (- (- x -1) x) (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) x) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))) (.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) x) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 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))) x) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 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 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))) x) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (.f64 #s(literal -2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (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)) (sqrt x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (sqrt (- x -1)) (.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)) (*.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	Expression
9.0ms	x	@	inf	((* (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1))))) (/ 1 (sqrt x)) 1 (sqrt x) x (- 1 (sqrt (/ x (- x -1)))) (/ (- 1/2 (* 3/8 (/ 1 x))) x) (- 1/2 (* 3/8 (/ 1 x))) 1/2 (* 3/8 (/ 1 x)) 3/8 (/ 1 x) (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (- 1 (sqrt x)) (sqrt x)) -1 (/ 1 (/ (sqrt x) (- 1 (sqrt (/ x (- x -1)))))) (/ (sqrt x) (- 1 (sqrt (/ x (- x -1))))) (- 1 (sqrt (/ x (- x -1)))) (sqrt (/ x (- x -1))) (/ x (- x -1)) (- x -1) (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) x) (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) -1/4 (/ (sqrt x) x) (* (sqrt x) 1/2) (/ (- (- x -1) x) (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x)))) (- (- x -1) x) (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (+ (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (sqrt (+ (* x x) x)) (+ (* x x) x))
7.0ms	x	@	-inf	((* (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1))))) (/ 1 (sqrt x)) 1 (sqrt x) x (- 1 (sqrt (/ x (- x -1)))) (/ (- 1/2 (* 3/8 (/ 1 x))) x) (- 1/2 (* 3/8 (/ 1 x))) 1/2 (* 3/8 (/ 1 x)) 3/8 (/ 1 x) (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (- 1 (sqrt x)) (sqrt x)) -1 (/ 1 (/ (sqrt x) (- 1 (sqrt (/ x (- x -1)))))) (/ (sqrt x) (- 1 (sqrt (/ x (- x -1))))) (- 1 (sqrt (/ x (- x -1)))) (sqrt (/ x (- x -1))) (/ x (- x -1)) (- x -1) (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) x) (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) -1/4 (/ (sqrt x) x) (* (sqrt x) 1/2) (/ (- (- x -1) x) (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x)))) (- (- x -1) x) (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (+ (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (sqrt (+ (* x x) x)) (+ (* x x) x))
5.0ms	x	@	0	((* (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1))))) (/ 1 (sqrt x)) 1 (sqrt x) x (- 1 (sqrt (/ x (- x -1)))) (/ (- 1/2 (* 3/8 (/ 1 x))) x) (- 1/2 (* 3/8 (/ 1 x))) 1/2 (* 3/8 (/ 1 x)) 3/8 (/ 1 x) (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (- 1 (sqrt x)) (sqrt x)) -1 (/ 1 (/ (sqrt x) (- 1 (sqrt (/ x (- x -1)))))) (/ (sqrt x) (- 1 (sqrt (/ x (- x -1))))) (- 1 (sqrt (/ x (- x -1)))) (sqrt (/ x (- x -1))) (/ x (- x -1)) (- x -1) (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) x) (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) -1/4 (/ (sqrt x) x) (* (sqrt x) 1/2) (/ (- (- x -1) x) (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x)))) (- (- x -1) x) (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (+ (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (sqrt (+ (* x x) x)) (+ (* x x) x))

Time

Variable

Point

Expression

9.0ms

inf

((* (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1))))) (/ 1 (sqrt x)) 1 (sqrt x) x (- 1 (sqrt (/ x (- x -1)))) (/ (- 1/2 (* 3/8 (/ 1 x))) x) (- 1/2 (* 3/8 (/ 1 x))) 1/2 (* 3/8 (/ 1 x)) 3/8 (/ 1 x) (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (- 1 (sqrt x)) (sqrt x)) -1 (/ 1 (/ (sqrt x) (- 1 (sqrt (/ x (- x -1)))))) (/ (sqrt x) (- 1 (sqrt (/ x (- x -1))))) (- 1 (sqrt (/ x (- x -1)))) (sqrt (/ x (- x -1))) (/ x (- x -1)) (- x -1) (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) x) (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) -1/4 (/ (sqrt x) x) (* (sqrt x) 1/2) (/ (- (- x -1) x) (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x)))) (- (- x -1) x) (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (+ (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (sqrt (+ (* x x) x)) (+ (* x x) x))

7.0ms

-inf

((* (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1))))) (/ 1 (sqrt x)) 1 (sqrt x) x (- 1 (sqrt (/ x (- x -1)))) (/ (- 1/2 (* 3/8 (/ 1 x))) x) (- 1/2 (* 3/8 (/ 1 x))) 1/2 (* 3/8 (/ 1 x)) 3/8 (/ 1 x) (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (- 1 (sqrt x)) (sqrt x)) -1 (/ 1 (/ (sqrt x) (- 1 (sqrt (/ x (- x -1)))))) (/ (sqrt x) (- 1 (sqrt (/ x (- x -1))))) (- 1 (sqrt (/ x (- x -1)))) (sqrt (/ x (- x -1))) (/ x (- x -1)) (- x -1) (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) x) (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) -1/4 (/ (sqrt x) x) (* (sqrt x) 1/2) (/ (- (- x -1) x) (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x)))) (- (- x -1) x) (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (+ (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (sqrt (+ (* x x) x)) (+ (* x x) x))

5.0ms

((* (/ 1 (sqrt x)) (- 1 (sqrt (/ x (- x -1))))) (/ 1 (sqrt x)) 1 (sqrt x) x (- 1 (sqrt (/ x (- x -1)))) (/ (- 1/2 (* 3/8 (/ 1 x))) x) (- 1/2 (* 3/8 (/ 1 x))) 1/2 (* 3/8 (/ 1 x)) 3/8 (/ 1 x) (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (- 1 (sqrt x)) (sqrt x)) -1 (/ 1 (/ (sqrt x) (- 1 (sqrt (/ x (- x -1)))))) (/ (sqrt x) (- 1 (sqrt (/ x (- x -1))))) (- 1 (sqrt (/ x (- x -1)))) (sqrt (/ x (- x -1))) (/ x (- x -1)) (- x -1) (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/ (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) x) (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) -1/4 (/ (sqrt x) x) (* (sqrt x) 1/2) (/ (- (- x -1) x) (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x)))) (- (- x -1) x) (* (+ (sqrt (- x -1)) (sqrt x)) (sqrt (+ (* x x) x))) (+ (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (sqrt (+ (* x x) x)) (+ (* x x) x))

rewrite139.0ms (4.3%)

Memory

-4.9MiB live, 143.8MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	290
0	79	272
1	353	254
0	3380	250

Stop Event

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

Counts

35 → 737

Calls

Call 1

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

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

eval118.0ms (3.7%)

Memory: 25.6MiB live, 208.1MiB allocated; 57ms collecting garbage
Compiler: Compiled 10 658 to 3 864 computations (63.7% saved)

prune84.0ms (2.6%)

Memory

-43.7MiB live, 104.6MiB allocated; 21ms collecting garbage

Pruning

29 alts after pruning (23 fresh and 6 done)

	Pruned	Kept	Total
New	906	14	920
Fresh	12	9	21
Picked	2	3	5
Done	0	3	3
Total	920	29	949

Accuracy

100.0%

Counts

949 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.5%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))))
	41.7%	(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (sqrt.f64 (fma.f64 x x x))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
	41.7%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
✓	41.7%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))))
	39.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	39.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	39.8%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (sqrt.f64 x)))
	35.6%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))) (sqrt.f64 x))
	39.7%	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
	41.7%	(/.f64 (.f64 (-.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 (-.f64 x #s(literal -1 binary64)) x)) (.f64 (-.f64 x (-.f64 #s(literal -1 binary64) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))))
	96.4%	(/.f64 (*.f64 #s(approx (- 1 (sqrt (/ x (- x -1)))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
	97.9%	(/.f64 #s(approx (- 1 (sqrt (/ x (- x -1)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))
✓	39.7%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))))
	96.8%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(approx (- 1 (sqrt (/ x (- x -1)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x))))
✓	39.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	31.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
✓	2.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
	30.8%	(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	97.9%	(*.f64 (/.f64 (sqrt.f64 x) x) #s(approx (- 1 (sqrt (/ x (- x -1)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x)))
	83.4%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (- 1 (sqrt (/ x (- x -1)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (/.f64 #s(literal 3/8 binary64) x))) (.f64 x x))))
	96.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (- 1 (sqrt (/ x (- x -1)))) (/.f64 #s(approx (- 1/2 ( 3/8 (/ 1 x))) #s(literal 1/2 binary64)) x)))
	97.8%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (- 1 (sqrt (/ x (- x -1)))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 3/8 binary64) (.f64 x x)))))
	38.6%	(.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt ( x (- x -1))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))))
	82.5%	#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 x x)))
	2.5%	#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/.f64 (-.f64 (sqrt.f64 x) x) x))
✓	2.5%	#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
	96.7%	#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (/.f64 #s(approx (/ (+ (* -1/4 (/ (sqrt x) x)) (* (sqrt x) 1/2)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
	82.4%	#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x x))))
✓	2.5%	#s(approx (* (- (sqrt (- x -1)) (sqrt x)) (/ 1 (sqrt (* x (- x -1))))) #s(approx (/ (- 1 (sqrt x)) (sqrt x)) #s(literal -1 binary64)))

Compiler

Compiled 1 364 to 799 computations (41.4% saved)

regimes42.0ms (1.3%)

Memory

37.9MiB live, 84.0MiB allocated; 3ms collecting garbage

Counts

86 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.6%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.6%	2	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes58.0ms (1.8%)

Memory

-32.7MiB live, 58.6MiB allocated; 5ms collecting garbage

Counts

55 → 1

Calls

Call 1

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

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

Calls

2 calls:

42.0ms	x
10.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
97.9%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.9%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes6.0ms (0.2%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

3.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes4.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
2.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
2.5%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes2.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
2.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
2.5%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch11.0ms (0.3%)

Memory

-37.6MiB live, 15.2MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
6.0ms	1569371182315160.0	7840545392869238.0

Samples

4.0ms

48×

valid

Compiler

Compiled 137 to 129 computations (5.8% saved)

Precisions

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

adjust: 1.0ms (33.3% of total)

ival-sqrt: 1.0ms (33.3% of total)

ival-div!: 1.0ms (33.3% of total)

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

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

derivations79.0ms (2.5%)

Memory

46.7MiB live, 138.1MiB allocated; 5ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 73 to 55 computations (24.7% saved)

preprocess77.0ms (2.4%)

Memory: 2.3MiB live, 148.3MiB allocated; 50ms collecting garbage
Remove: (abs x)
Compiler: Compiled 347 to 301 computations (13.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.5s (46.9%)

preprocess48.0ms (1.5%)

series19.0ms (0.6%)

rewrite54.0ms (1.7%)

eval14.0ms (0.5%)

prune29.0ms (0.9%)

series117.0ms (3.7%)

rewrite93.0ms (2.9%)

eval173.0ms (5.4%)

prune49.0ms (1.5%)

series47.0ms (1.5%)

rewrite149.0ms (4.7%)

eval129.0ms (4%)

prune110.0ms (3.4%)

series48.0ms (1.5%)

rewrite139.0ms (4.3%)

eval118.0ms (3.7%)

prune84.0ms (2.6%)

regimes42.0ms (1.3%)

regimes58.0ms (1.8%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch11.0ms (0.3%)

derivations79.0ms (2.5%)

preprocess77.0ms (2.4%)

end0.0ms (0%)

Profiling