Metrics for Given's Rotation SVD example, simplified

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 19 to 11 computations (42.1% saved)

sample1.8s (37.7%)

Memory

45.6MiB live, 1 999.9MiB allocated; 419ms collecting garbage

Samples

863.0ms	2 903×	2	valid
350.0ms	4 148×	0	valid
187.0ms	1 205×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-hypot: 486.0ms (42.8% of total)

ival-sqrt: 189.0ms (16.6% of total)

adjust: 177.0ms (15.6% of total)

ival-div!: 102.0ms (9% of total)

ival-mult!: 82.0ms (7.2% of total)

ival-add!: 57.0ms (5% of total)

ival-sub!: 41.0ms (3.6% of total)

Bogosity

preprocess135.0ms (2.8%)

Memory

-4.4MiB live, 41.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	31
1	80	31
2	199	31
3	594	31
4	4851	31

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Symmetry

(abs x)

Compiler

Compiled 24 to 18 computations (25% saved)

series6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

9 → 64

Calls

Call 1

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

Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 1))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)
2.0ms	x	@	-inf	((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)
1.0ms	x	@	0	((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

rewrite184.0ms (3.8%)

Memory

38.8MiB live, 269.6MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	306	1567
0	316	1307
1	1904	1304
0	9088	1264

Stop Event

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

Counts

73 → 125

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
x
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 1))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))

Outputs
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))
(pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (fabs.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (fabs.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(pow.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sin.f64 (+.f64 (atan.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (atan.f64 x)))
(cos.f64 (atan.f64 (fabs.f64 x)))
(cos.f64 (atan.f64 (neg.f64 x)))
(cos.f64 (atan.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
x
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 2 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/16 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/16 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/16 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal 5/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x)))) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))) x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal -3/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) x)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (neg.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (neg.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) x))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 3/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) x)) #s(literal 1/2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal 5/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x)))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (neg.f64 x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))

eval47.0ms (1%)

Memory: -16.8MiB live, 49.9MiB allocated; 44ms collecting garbage
Compiler: Compiled 1 760 to 707 computations (59.8% saved)

prune21.0ms (0.4%)

Memory

-8.3MiB live, 37.0MiB allocated; 6ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	108	13	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	13	122

Accuracy

99.9%

Counts

122 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	73.6%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
▶	73.7%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
	72.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
▶	72.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
▶	47.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
	48.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	26.3%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	27.6%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
▶	26.3%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
	52.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
	52.4%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
	53.4%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))

Compiler

Compiled 494 to 404 computations (18.2% saved)

series51.0ms (1%)

Memory

14.5MiB live, 104.2MiB allocated; 11ms collecting garbage

Counts

34 → 148

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1/2 binary64)
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))
(.f64 #s(literal 11/128 binary64) (.f64 x x))
#s(literal 11/128 binary64)
(*.f64 x x)
#s(literal 1/8 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

Outputs
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 1/2))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1/2 (* 1/32 (pow x 2)))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/32 (* -5/256 (pow x 2)))))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/32 (* (pow x 2) (- (* 117/8192 (pow x 2)) 5/256)))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 2))
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#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1/2 (* -3/32 (pow x 2)))))
#s(approx (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 17/256 (pow x 2)) 3/32)))))
#s(approx (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 17/256 (* -435/8192 (pow x 2)))) 3/32)))))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 (/ (+ 1/2 (* 1/2 x)) x)))
#s(approx (- (* 11/128 (* x x)) 1/8) #s(hole binary64 -1/8))
#s(approx (- (* 11/128 (* x x)) 1/8) #s(hole binary64 (- (* 11/128 (pow x 2)) 1/8)))
#s(approx (* 11/128 (* x x)) #s(hole binary64 (* 11/128 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (/ 1/2 (+ 1 (sqrt 1/2)))))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (- (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* 1/2 (/ (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (pow x 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))))))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/2 (+ (* -1/32 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))))) (+ (* 1/128 (/ 1 (* (pow (sqrt 1/2) 4) (pow (+ 1 (sqrt 1/2)) 3)))) (+ (* 1/4 (/ (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) (pow x 3))) (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) (+ (* 1/2 (/ (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (pow x 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (/ 1 (+ 1 (sqrt 1/2)))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (- (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (/ 1 (+ 1 (sqrt 1/2))))) (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 1/128 (/ 1 (* (pow (sqrt 1/2) 4) (pow (+ 1 (sqrt 1/2)) 3)))) (+ (* 1/4 (/ (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))) (pow x 3))) (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (/ 1 (+ 1 (sqrt 1/2)))))) (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (sqrt 1/2))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (- (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (- (+ 1 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2)))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ (* 1/2 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ (* 1/2 (/ (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (pow x 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))))
#s(approx (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ (* -1/2 (/ (+ (* -1/32 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) (pow x 3))) (+ (* 1/2 (/ (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (pow x 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))))
#s(approx (+ (* (- (* 11/128 (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* 11/128 (pow x 4))))
#s(approx (+ (* (- (* 11/128 (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 11/128 (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (- (* 11/128 (* x x)) 1/8) #s(hole binary64 (* (pow x 2) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) #s(hole binary64 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 x)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ 1 (* (pow x 3) (sqrt (* 1/2 (+ 1 (/ 1 x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 x)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) #s(hole binary64 (- (+ 1 (+ (* -1/2 (/ (- (* 3/16 (/ 1 x)) (* 1/64 (/ 1 (* (pow x 2) (pow (sqrt (* 1/2 (+ 1 (/ 1 x)))) 2))))) (* (pow x 4) (sqrt (* 1/2 (+ 1 (/ 1 x))))))) (/ 1/8 (* (pow x 3) (sqrt (* 1/2 (+ 1 (/ 1 x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 x)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) #s(hole binary64 (- (+ 1 (+ (* 1/2 (/ (+ (* -1/8 (/ (- (* 3/16 (/ 1 x)) (* 1/64 (/ 1 (* (pow x 2) (pow (sqrt (* 1/2 (+ 1 (/ 1 x)))) 2))))) (* x (pow (sqrt (* 1/2 (+ 1 (/ 1 x)))) 2)))) (* 5/32 (/ 1 x))) (* (pow x 6) (sqrt (* 1/2 (+ 1 (/ 1 x))))))) (/ 1/8 (* (pow x 3) (sqrt (* 1/2 (+ 1 (/ 1 x)))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 x)))) (* 1/2 (/ (- (* 3/16 (/ 1 x)) (* 1/64 (/ 1 (* (pow x 2) (pow (sqrt (* 1/2 (+ 1 (/ 1 x)))) 2))))) (* (pow x 4) (sqrt (* 1/2 (+ 1 (/ 1 x)))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) #s(hole binary64 (sqrt (* 1/2 (+ 1 (/ 1 x))))))
#s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) #s(hole binary64 (- (sqrt (* 1/2 (+ 1 (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 3) (sqrt (* 1/2 (+ 1 (/ 1 x))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) #s(hole binary64 (- (+ (sqrt (* 1/2 (+ 1 (/ 1 x)))) (* 1/2 (/ (- (* 3/16 (/ 1 x)) (* 1/64 (/ 1 (* (pow x 2) (pow (sqrt (* 1/2 (+ 1 (/ 1 x)))) 2))))) (* (pow x 4) (sqrt (* 1/2 (+ 1 (/ 1 x)))))))) (/ 1/8 (* (pow x 3) (sqrt (* 1/2 (+ 1 (/ 1 x)))))))))
#s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) #s(hole binary64 (- (+ (sqrt (* 1/2 (+ 1 (/ 1 x)))) (+ (* -1/2 (/ (+ (* -1/8 (/ (- (* 3/16 (/ 1 x)) (* 1/64 (/ 1 (* (pow x 2) (pow (sqrt (* 1/2 (+ 1 (/ 1 x)))) 2))))) (* x (pow (sqrt (* 1/2 (+ 1 (/ 1 x)))) 2)))) (* 5/32 (/ 1 x))) (* (pow x 6) (sqrt (* 1/2 (+ 1 (/ 1 x))))))) (* 1/2 (/ (- (* 3/16 (/ 1 x)) (* 1/64 (/ 1 (* (pow x 2) (pow (sqrt (* 1/2 (+ 1 (/ 1 x)))) 2))))) (* (pow x 4) (sqrt (* 1/2 (+ 1 (/ 1 x))))))))) (/ 1/8 (* (pow x 3) (sqrt (* 1/2 (+ 1 (/ 1 x)))))))))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(hole binary64 (* 1/2 (+ 1 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(hole binary64 (- (* 1/2 (+ 1 (/ 1 x))) (* 1/4 (/ 1 (pow x 3))))))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(hole binary64 (- (+ (* 1/2 (+ 1 (/ 1 x))) (/ 3/16 (pow x 5))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(hole binary64 (- (+ (* 1/2 (+ 1 (/ 1 x))) (* 3/16 (/ 1 (pow x 5)))) (+ (/ 1/4 (pow x 3)) (* 5/32 (/ 1 (pow x 7)))))))
#s(approx (+ 1 (pow (+ (* x x) 1) -1/2)) #s(hole binary64 (- (+ 1 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))
#s(approx (+ 1 (pow (+ (* x x) 1) -1/2)) #s(hole binary64 (- (+ 1 (+ (/ 3/8 (pow x 5)) (/ 1 x))) (/ 1/2 (pow x 3)))))
#s(approx (+ 1 (pow (+ (* x x) 1) -1/2)) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (+ (/ 1/2 (pow x 3)) (* 5/16 (/ 1 (pow x 7)))))))
#s(approx (pow (+ (* x x) 1) -1/2) #s(hole binary64 (- (/ 1 x) (* 1/2 (/ 1 (pow x 3))))))
#s(approx (pow (+ (* x x) 1) -1/2) #s(hole binary64 (- (+ (/ 3/8 (pow x 5)) (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (pow (+ (* x x) 1) -1/2) #s(hole binary64 (- (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5)))) (+ (/ 1/2 (pow x 3)) (* 5/16 (/ 1 (pow x 7)))))))
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#s(approx (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ (* 1/4 (/ 1 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (/ 1 (+ 1 (sqrt 1/2))))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (/ 1 (+ 1 (sqrt 1/2))))))
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#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1 x)))
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#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
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#s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) #s(hole binary64 (+ (sqrt (* 1/2 (- 1 (/ 1 x)))) (+ (* -1/2 (/ (+ (* 3/16 (/ 1 x)) (* 1/64 (/ 1 (* (pow x 2) (pow (sqrt (* 1/2 (- 1 (/ 1 x)))) 2))))) (* (pow x 4) (sqrt (* 1/2 (- 1 (/ 1 x))))))) (+ (* 1/2 (/ (- (* 5/32 (/ 1 x)) (* -1/8 (/ (+ (* 3/16 (/ 1 x)) (* 1/64 (/ 1 (* (pow x 2) (pow (sqrt (* 1/2 (- 1 (/ 1 x)))) 2))))) (* x (pow (sqrt (* 1/2 (- 1 (/ 1 x)))) 2))))) (* (pow x 6) (sqrt (* 1/2 (- 1 (/ 1 x))))))) (/ 1/8 (* (pow x 3) (sqrt (* 1/2 (- 1 (/ 1 x)))))))))))
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#s(approx (pow (+ (* x x) 1) -1/2) #s(hole binary64 (- (* 1/2 (/ 1 (pow x 3))) (/ 1 x))))
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Calls

3 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	((- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (- (* 11/128 (* x x)) 1/8) (* x x)) 1) (- (* 11/128 (* x x)) 1/8) (* 11/128 (* x x)) 11/128 (* x x) 1/8 (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (+ 1 (pow (+ (* x x) 1) -1/2)) (pow (+ (* x x) 1) -1/2) -1/2)
15.0ms	x	@	-inf	((- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (- (* 11/128 (* x x)) 1/8) (* x x)) 1) (- (* 11/128 (* x x)) 1/8) (* 11/128 (* x x)) 11/128 (* x x) 1/8 (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (+ 1 (pow (+ (* x x) 1) -1/2)) (pow (+ (* x x) 1) -1/2) -1/2)
12.0ms	x	@	0	((- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (- (* 11/128 (* x x)) 1/8) (* x x)) 1) (- (* 11/128 (* x x)) 1/8) (* 11/128 (* x x)) 11/128 (* x x) 1/8 (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (+ 1 (pow (+ (* x x) 1) -1/2)) (pow (+ (* x x) 1) -1/2) -1/2)

Time

Variable

Point

Expression

16.0ms

inf

((- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (- (* 11/128 (* x x)) 1/8) (* x x)) 1) (- (* 11/128 (* x x)) 1/8) (* 11/128 (* x x)) 11/128 (* x x) 1/8 (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (+ 1 (pow (+ (* x x) 1) -1/2)) (pow (+ (* x x) 1) -1/2) -1/2)

15.0ms

-inf

((- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (- (* 11/128 (* x x)) 1/8) (* x x)) 1) (- (* 11/128 (* x x)) 1/8) (* 11/128 (* x x)) 11/128 (* x x) 1/8 (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (+ 1 (pow (+ (* x x) 1) -1/2)) (pow (+ (* x x) 1) -1/2) -1/2)

12.0ms

((- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (- (* 11/128 (* x x)) 1/8) (* x x)) 1) (- (* 11/128 (* x x)) 1/8) (* 11/128 (* x x)) 11/128 (* x x) 1/8 (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (+ 1 (pow (+ (* x x) 1) -1/2)) (pow (+ (* x x) 1) -1/2) -1/2)

rewrite283.0ms (5.8%)

Memory

-0.4MiB live, 315.2MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	751	7344
0	795	5794
1	5035	5667
0	8431	5483

Stop Event

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

Counts

182 → 339

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1/2 binary64)
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))
(.f64 #s(literal 11/128 binary64) (.f64 x x))
#s(literal 11/128 binary64)
(*.f64 x x)
#s(literal 1/8 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 1/2))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1/2 (* 1/32 (pow x 2)))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/32 (* -5/256 (pow x 2)))))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/32 (* (pow x 2) (- (* 117/8192 (pow x 2)) 5/256)))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 2 (* -1/8 (pow x 2)))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 1))
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#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
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#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
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#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1/2 (* -3/32 (pow x 2)))))
#s(approx (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 17/256 (pow x 2)) 3/32)))))
#s(approx (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 17/256 (* -435/8192 (pow x 2)))) 3/32)))))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 (/ (+ 1/2 (* 1/2 x)) x)))
#s(approx (- (* 11/128 (* x x)) 1/8) #s(hole binary64 -1/8))
#s(approx (- (* 11/128 (* x x)) 1/8) #s(hole binary64 (- (* 11/128 (pow x 2)) 1/8)))
#s(approx (* 11/128 (* x x)) #s(hole binary64 (* 11/128 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (/ 1/2 (+ 1 (sqrt 1/2)))))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (- (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* 1/2 (/ (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (pow x 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))))))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/2 (+ (* -1/32 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))))) (+ (* 1/128 (/ 1 (* (pow (sqrt 1/2) 4) (pow (+ 1 (sqrt 1/2)) 3)))) (+ (* 1/4 (/ (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) (pow x 3))) (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) (+ (* 1/2 (/ (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (pow x 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (/ 1 (+ 1 (sqrt 1/2)))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (- (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (/ 1 (+ 1 (sqrt 1/2))))) (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 1/128 (/ 1 (* (pow (sqrt 1/2) 4) (pow (+ 1 (sqrt 1/2)) 3)))) (+ (* 1/4 (/ (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))) (pow x 3))) (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (/ 1 (+ 1 (sqrt 1/2)))))) (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (sqrt 1/2))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (- (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (- (+ 1 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2)))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ 1 x)))
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#s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) #s(hole binary64 (+ (sqrt (* 1/2 (- 1 (/ 1 x)))) (+ (* -1/2 (/ (+ (* 3/16 (/ 1 x)) (* 1/64 (/ 1 (* (pow x 2) (pow (sqrt (* 1/2 (- 1 (/ 1 x)))) 2))))) (* (pow x 4) (sqrt (* 1/2 (- 1 (/ 1 x))))))) (/ 1/8 (* (pow x 3) (sqrt (* 1/2 (- 1 (/ 1 x))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) #s(hole binary64 (+ (sqrt (* 1/2 (- 1 (/ 1 x)))) (+ (* -1/2 (/ (+ (* 3/16 (/ 1 x)) (* 1/64 (/ 1 (* (pow x 2) (pow (sqrt (* 1/2 (- 1 (/ 1 x)))) 2))))) (* (pow x 4) (sqrt (* 1/2 (- 1 (/ 1 x))))))) (+ (* 1/2 (/ (- (* 5/32 (/ 1 x)) (* -1/8 (/ (+ (* 3/16 (/ 1 x)) (* 1/64 (/ 1 (* (pow x 2) (pow (sqrt (* 1/2 (- 1 (/ 1 x)))) 2))))) (* x (pow (sqrt (* 1/2 (- 1 (/ 1 x)))) 2))))) (* (pow x 6) (sqrt (* 1/2 (- 1 (/ 1 x))))))) (/ 1/8 (* (pow x 3) (sqrt (* 1/2 (- 1 (/ 1 x)))))))))))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(hole binary64 (* 1/2 (- 1 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(hole binary64 (+ (* 1/2 (- 1 (/ 1 x))) (* 1/4 (/ 1 (pow x 3))))))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(hole binary64 (- (+ (* 1/2 (- 1 (/ 1 x))) (/ 1/4 (pow x 3))) (/ 3/16 (pow x 5)))))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(hole binary64 (- (+ (* 1/2 (- 1 (/ 1 x))) (+ (/ 1/4 (pow x 3)) (* 5/32 (/ 1 (pow x 7))))) (* 3/16 (/ 1 (pow x 5))))))
#s(approx (+ 1 (pow (+ (* x x) 1) -1/2)) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (pow x 3)))) (/ 1 x))))
#s(approx (+ 1 (pow (+ (* x x) 1) -1/2)) #s(hole binary64 (- (+ 1 (/ 1/2 (pow x 3))) (+ (/ 3/8 (pow x 5)) (/ 1 x)))))
#s(approx (+ 1 (pow (+ (* x x) 1) -1/2)) #s(hole binary64 (- (+ 1 (+ (/ 1/2 (pow x 3)) (* 5/16 (/ 1 (pow x 7))))) (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5)))))))
#s(approx (pow (+ (* x x) 1) -1/2) #s(hole binary64 (- (* 1/2 (/ 1 (pow x 3))) (/ 1 x))))
#s(approx (pow (+ (* x x) 1) -1/2) #s(hole binary64 (- (/ 1/2 (pow x 3)) (+ (/ 3/8 (pow x 5)) (/ 1 x)))))
#s(approx (pow (+ (* x x) 1) -1/2) #s(hole binary64 (- (+ (/ 1/2 (pow x 3)) (* 5/16 (/ 1 (pow x 7)))) (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5)))))))

Outputs
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(pow.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))
(pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (expm1.f64 (.f64 (.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))))
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(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
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(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/4 binary64)))
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(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
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(fma.f64 x x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
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x
#s(literal 1/2 binary64)
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#s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64)))
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#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x)))))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/16 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x))))
#s(approx (+ 1 (pow (+ (* x x) 1) -1/2)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (+ (* x x) 1) -1/2)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)))))
#s(approx (+ 1 (pow (+ (* x x) 1) -1/2)) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))))
#s(approx (pow (+ (* x x) 1) -1/2) (/.f64 #s(literal 1 binary64) x))
#s(approx (pow (+ (* x x) 1) -1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))
#s(approx (pow (+ (* x x) 1) -1/2) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) x))
#s(approx (pow (+ (* x x) 1) -1/2) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal 5/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x)))) x))
#s(approx (sqrt (+ (* x x) 1)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* x x) 1)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt (+ (* x x) 1)) (.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))) x))
#s(approx (+ (* x x) 1) (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) (.f64 x x)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
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#s(approx (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (+ (* (- (* 11/128 (* x x)) 1/8) (* x x)) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 11/128 binary64)))
#s(approx (+ (* (- (* 11/128 (* x x)) 1/8) (* x x)) 1) (.f64 (-.f64 #s(literal 11/128 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))
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#s(approx (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
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#s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (-.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (.f64 (*.f64 x x) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/16 binary64) x) (/.f64 #s(literal 1/64 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 x x)))) (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (.f64 (*.f64 x x) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/16 binary64) x) (/.f64 #s(literal 1/64 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 x x)))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal -1/8 binary64) (/.f64 #s(literal 5/32 binary64) x)) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 3/16 binary64) x) (/.f64 #s(literal 1/64 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 x x))))) (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 x x))))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (.f64 (*.f64 x x) x)))))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x)))))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/16 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x))))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/16 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 5/32 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x)))))
#s(approx (+ 1 (pow (+ (* x x) 1) -1/2)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)))))
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#s(approx (pow (+ (* x x) 1) -1/2) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))))
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#s(approx (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/4 binary64))) #s(literal -1/32 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x))) x))) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (.f64 (*.f64 x x) x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (-.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x))) (/.f64 #s(literal 3/16 binary64) x)) (.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (.f64 (*.f64 x x) x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 5/32 binary64) x) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x))) (/.f64 #s(literal 3/16 binary64) x)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal -1/8 binary64))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x))) (/.f64 #s(literal 3/16 binary64) x)) (.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) x))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x))) (/.f64 #s(literal 3/16 binary64) x)) (.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) x)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x))) (/.f64 #s(literal 3/16 binary64) x)) (.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 5/32 binary64) x) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (.f64 x x))) (/.f64 #s(literal 3/16 binary64) x)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal -1/8 binary64))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) x))))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x))))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x))) (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/16 binary64))))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 5/32 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x)))) (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/16 binary64))))
#s(approx (+ 1 (pow (+ (* x x) 1) -1/2)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (pow (+ (* x x) 1) -1/2)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (pow (+ (* x x) 1) -1/2)) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 5/16 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (pow (+ (* x x) 1) -1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (pow (+ (* x x) 1) -1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (pow (+ (* x x) 1) -1/2) (-.f64 (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 5/16 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))) (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x))))

eval54.0ms (1.1%)

Memory: 24.5MiB live, 121.2MiB allocated; 27ms collecting garbage
Compiler: Compiled 8 283 to 2 001 computations (75.8% saved)

prune20.0ms (0.4%)

Memory

-29.9MiB live, 60.5MiB allocated; 9ms collecting garbage

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	284	10	294
Fresh	6	2	8
Picked	0	5	5
Done	0	0	0
Total	290	17	307

Accuracy

99.9%

Counts

307 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.7%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))))
	73.7%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	73.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	73.7%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
✓	73.7%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
	48.4%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 #s(approx (pow (+ ( x x) 1) -1/2) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 #s(approx (pow (+ ( x x) 1) -1/2) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 #s(approx (pow (+ ( x x) 1) -1/2) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
▶	72.4%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64))))))
▶	72.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
✓	72.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
✓	47.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
▶	48.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
✓	26.3%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
▶	27.6%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(approx (- (* 11/128 (* x x)) 1/8) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓	26.3%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
	52.7%	#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
	52.4%	#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
	53.4%	#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))

Compiler

Compiled 840 to 508 computations (39.5% saved)

series183.0ms (3.7%)

Memory

15.9MiB live, 223.4MiB allocated; 159ms collecting garbage

Counts

44 → 252

Calls

Call 1

Inputs
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))))
(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1/2 binary64)
#s(literal 3 binary64)
(pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))))
(pow.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
(+.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))
(pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(approx (- (* 11/128 (* x x)) 1/8) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(approx (- (* 11/128 (* x x)) 1/8) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (- (* 11/128 (* x x)) 1/8) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (- (* 11/128 (* x x)) 1/8) #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(*.f64 x x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64)))))

Outputs
#s(approx (/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))))
#s(approx (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) #s(hole binary64 (* 3/32 (pow x 2))))
#s(approx (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) #s(hole binary64 (* (pow x 2) (+ 3/32 (* -39/512 (pow x 2))))))
#s(approx (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) #s(hole binary64 (* (pow x 2) (+ 3/32 (* (pow x 2) (- (* 559/8192 (pow x 2)) 39/512))))))
#s(approx (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) #s(hole binary64 (* (pow x 2) (+ 3/32 (* (pow x 2) (- (* (pow x 2) (+ 559/8192 (* -2085/32768 (pow x 2)))) 39/512))))))
#s(approx (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) #s(hole binary64 1/8))
#s(approx (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) #s(hole binary64 (+ 1/8 (* 3/128 (pow x 2)))))
#s(approx (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 3/128 (* -27/2048 (pow x 2)))))))
#s(approx (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 3/128 (* (pow x 2) (- (* 73/8192 (pow x 2)) 27/2048)))))))
#s(approx (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 1/2))
#s(approx (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* 1/32 (pow x 2)))))
#s(approx (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/32 (* -5/256 (pow x 2)))))))
#s(approx (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/32 (* (pow x 2) (- (* 117/8192 (pow x 2)) 5/256)))))))
#s(approx (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) #s(hole binary64 2))
#s(approx (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) #s(hole binary64 (+ 2 (* -1/8 (pow x 2)))))
#s(approx (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 1))
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Calls

3 calls:

Time	Variable		Point	Expression
120.0ms	x	@	inf	((/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 3 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))))) (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) -2 (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) 2 (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (- (* 11/128 (* x x)) 1/8) (* x x)) 1) (- (* 11/128 (* x x)) 1/8) -1/8 (* x x) (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (- (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))))) (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt 1/2) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))))
30.0ms	x	@	-inf	((/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 3 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))))) (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) -2 (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) 2 (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (- (* 11/128 (* x x)) 1/8) (* x x)) 1) (- (* 11/128 (* x x)) 1/8) -1/8 (* x x) (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (- (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))))) (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt 1/2) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))))
8.0ms	x	@	0	((/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 3 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))))) (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) -2 (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) 2 (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (- (* 11/128 (* x x)) 1/8) (* x x)) 1) (- (* 11/128 (* x x)) 1/8) -1/8 (* x x) (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (- (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))))) (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt 1/2) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))))

Time

Variable

Point

Expression

120.0ms

inf

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30.0ms

-inf

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8.0ms

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rewrite378.0ms (7.7%)

Memory

-18.0MiB live, 489.7MiB allocated; 162ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1689	33950
0	1755	30338
0	8671	29547

Stop Event

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

Counts

296 → 365

Calls

Call 1

Inputs
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(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
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x
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#s(literal -1/8 binary64)
(*.f64 x x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) #s(hole binary64 (* 1/8 (pow x 2))))
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#s(approx (/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))))
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#s(approx (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) #s(hole binary64 (* (pow x 2) (+ 3/32 (* (pow x 2) (- (* 559/8192 (pow x 2)) 39/512))))))
#s(approx (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) #s(hole binary64 (* (pow x 2) (+ 3/32 (* (pow x 2) (- (* (pow x 2) (+ 559/8192 (* -2085/32768 (pow x 2)))) 39/512))))))
#s(approx (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) #s(hole binary64 1/8))
#s(approx (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) #s(hole binary64 (+ 1/8 (* 3/128 (pow x 2)))))
#s(approx (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 3/128 (* -27/2048 (pow x 2)))))))
#s(approx (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 3/128 (* (pow x 2) (- (* 73/8192 (pow x 2)) 27/2048)))))))
#s(approx (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 1/2))
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#s(approx (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/32 (* -5/256 (pow x 2)))))))
#s(approx (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/32 (* (pow x 2) (- (* 117/8192 (pow x 2)) 5/256)))))))
#s(approx (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) #s(hole binary64 2))
#s(approx (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) #s(hole binary64 (+ 2 (* -1/8 (pow x 2)))))
#s(approx (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
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#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3) #s(hole binary64 (+ 1/8 (* -9/128 (pow x 2)))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3) #s(hole binary64 (+ 1/8 (* (pow x 2) (- (* 129/2048 (pow x 2)) 9/128)))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3) #s(hole binary64 (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 129/2048 (* -243/4096 (pow x 2)))) 9/128)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) #s(hole binary64 (+ 1/2 (* -3/32 (pow x 2)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 17/256 (pow x 2)) 3/32)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 17/256 (* -435/8192 (pow x 2)))) 3/32)))))
#s(approx (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 1/4))
#s(approx (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 (+ 1/4 (* 1/64 (pow x 2)))))
#s(approx (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 (+ 1/4 (* (pow x 2) (+ 1/64 (* -5/512 (pow x 2)))))))
#s(approx (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 (+ 1/4 (* (pow x 2) (+ 1/64 (* (pow x 2) (- (* 117/16384 (pow x 2)) 5/512)))))))
#s(approx (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))))) #s(hole binary64 3/4))
#s(approx (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))))) #s(hole binary64 (+ 3/4 (* -3/32 (pow x 2)))))
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#s(approx (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))))) #s(hole binary64 (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 79/1024 (* -557/8192 (pow x 2)))) 3/32)))))
#s(approx (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) #s(hole binary64 (+ 1/4 (* 1/32 (pow x 2)))))
#s(approx (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) #s(hole binary64 (+ 1/4 (* (pow x 2) (+ 1/32 (* -19/1024 (pow x 2)))))))
#s(approx (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) #s(hole binary64 (+ 1/4 (* (pow x 2) (+ 1/32 (* (pow x 2) (- (* 107/8192 (pow x 2)) 19/1024)))))))
#s(approx (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))) #s(hole binary64 (+ 1/2 (* -1/8 (pow x 2)))))
#s(approx (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 49/512 (pow x 2)) 1/8)))))
#s(approx (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 49/512 (* -83/1024 (pow x 2)))) 1/8)))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) #s(hole binary64 (+ 1/4 (* -3/32 (pow x 2)))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* 77/1024 (pow x 2)) 3/32)))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 77/1024 (* -537/8192 (pow x 2)))) 3/32)))))
#s(approx (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))) #s(hole binary64 (+ 1/4 (* -1/32 (pow x 2)))))
#s(approx (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* 21/1024 (pow x 2)) 1/32)))))
#s(approx (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 21/1024 (* -127/8192 (pow x 2)))) 1/32)))))
#s(approx (- (* 11/128 (* x x)) 1/8) #s(hole binary64 -1/8))
#s(approx (- (* 11/128 (* x x)) 1/8) #s(hole binary64 (- (* 11/128 (pow x 2)) 1/8)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
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Outputs
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#s(approx (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))))) (.f64 x (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))))) (.f64 x (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))) x)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))))

eval156.0ms (3.2%)

Memory: 25.8MiB live, 230.1MiB allocated; 81ms collecting garbage
Compiler: Compiled 35 432 to 3 770 computations (89.4% saved)

prune18.0ms (0.4%)

Memory

-0.0MiB live, 46.6MiB allocated; 3ms collecting garbage

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	403	4	407
Fresh	2	5	7
Picked	1	4	5
Done	0	5	5
Total	406	18	424

Accuracy

99.9%

Counts

424 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.0%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))) (-.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))))))
✓	73.7%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))))
▶	73.7%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
▶	73.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
▶	73.7%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
✓	73.7%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
✓	72.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
✓	72.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
✓	47.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
✓	48.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
✓	26.3%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓	27.6%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(approx (- (* 11/128 (* x x)) 1/8) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓	26.3%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
▶	53.4%	#s(approx (/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
	52.7%	#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
	52.4%	#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
▶	47.0%	#s(approx (- (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
	48.4%	#s(approx (- (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))))))

Compiler

Compiled 1 171 to 556 computations (52.5% saved)

series50.0ms (1%)

Memory

2.1MiB live, 101.2MiB allocated; 10ms collecting garbage

Counts

33 → 194

Calls

Call 1

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

Outputs
#s(approx (/ (- (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) 2)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (/ (- (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (/ (- (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (/ (- (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))))
#s(approx (- (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -13/32 (pow x 2))))))
#s(approx (- (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 183/512 (pow x 2)) 13/32))))))
#s(approx (- (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 183/512 (* -1335/4096 (pow x 2)))) 13/32))))))
#s(approx (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 2))
#s(approx (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 (+ 2 (* -1/8 (pow x 2)))))
#s(approx (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 2 (* -5/8 (pow x 2)))))
#s(approx (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 63/128 (pow x 2)) 5/8)))))
#s(approx (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 63/128 (* -435/1024 (pow x 2)))) 5/8)))))
#s(approx (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) 2) #s(hole binary64 4))
#s(approx (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) 2) #s(hole binary64 (+ 4 (* -1/2 (pow x 2)))))
#s(approx (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) 2) #s(hole binary64 (+ 4 (* (pow x 2) (- (* 23/64 (pow x 2)) 1/2)))))
#s(approx (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) 2) #s(hole binary64 (+ 4 (* (pow x 2) (- (* (pow x 2) (+ 23/64 (* -149/512 (pow x 2)))) 1/2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 1/2 (+ 1 (sqrt (* 1/2 (- 1 (/ 1 x)))))) #s(hole binary64 (* 1/2 (/ x (sqrt (* -1/2 x))))))
#s(approx (/ 1/2 (+ 1 (sqrt (* 1/2 (- 1 (/ 1 x)))))) #s(hole binary64 (* x (+ (* -1/2 (/ x (pow (sqrt (* -1/2 x)) 2))) (* 1/2 (/ 1 (sqrt (* -1/2 x))))))))
#s(approx (/ 1/2 (+ 1 (sqrt (* 1/2 (- 1 (/ 1 x)))))) #s(hole binary64 (* x (+ (* x (- (* 3/8 (/ x (pow (sqrt (* -1/2 x)) 3))) (* 1/2 (/ 1 (pow (sqrt (* -1/2 x)) 2))))) (* 1/2 (/ 1 (sqrt (* -1/2 x))))))))
#s(approx (/ 1/2 (+ 1 (sqrt (* 1/2 (- 1 (/ 1 x)))))) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1/4 (/ x (pow (sqrt (* -1/2 x)) 4))) (* 3/8 (/ 1 (pow (sqrt (* -1/2 x)) 3))))) (* 1/2 (/ 1 (pow (sqrt (* -1/2 x)) 2))))) (* 1/2 (/ 1 (sqrt (* -1/2 x))))))))
#s(approx (+ 1 (sqrt (* 1/2 (- 1 (/ 1 x))))) #s(hole binary64 (/ (sqrt (* -1/2 x)) x)))
#s(approx (+ 1 (sqrt (* 1/2 (- 1 (/ 1 x))))) #s(hole binary64 (/ (+ x (sqrt (* -1/2 x))) x)))
#s(approx (+ 1 (sqrt (* 1/2 (- 1 (/ 1 x))))) #s(hole binary64 (/ (+ (sqrt (* -1/2 x)) (* x (+ 1 (* 1/4 (/ x (sqrt (* -1/2 x))))))) x)))
#s(approx (+ 1 (sqrt (* 1/2 (- 1 (/ 1 x))))) #s(hole binary64 (/ (+ (sqrt (* -1/2 x)) (* x (+ 1 (* x (+ (* -1/32 (/ (pow x 2) (pow (sqrt (* -1/2 x)) 3))) (* 1/4 (/ 1 (sqrt (* -1/2 x))))))))) x)))
#s(approx (sqrt (* 1/2 (- 1 (/ 1 x)))) #s(hole binary64 (/ (+ (sqrt (* -1/2 x)) (* 1/4 (/ (pow x 2) (sqrt (* -1/2 x))))) x)))
#s(approx (sqrt (* 1/2 (- 1 (/ 1 x)))) #s(hole binary64 (/ (+ (sqrt (* -1/2 x)) (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow (sqrt (* -1/2 x)) 3))) (* 1/4 (/ 1 (sqrt (* -1/2 x))))))) x)))
#s(approx (sqrt (* 1/2 (- 1 (/ 1 x)))) #s(hole binary64 (/ (+ (sqrt (* -1/2 x)) (* (pow x 2) (+ (* (pow x 2) (- (* 1/128 (/ (pow x 2) (pow (sqrt (* -1/2 x)) 5))) (* 1/32 (/ 1 (pow (sqrt (* -1/2 x)) 3))))) (* 1/4 (/ 1 (sqrt (* -1/2 x))))))) x)))
#s(approx (* 1/2 (- 1 (/ 1 x))) #s(hole binary64 (/ -1/2 x)))
#s(approx (* 1/2 (- 1 (/ 1 x))) #s(hole binary64 (/ (- (* 1/2 x) 1/2) x)))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 (/ -1 x)))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 (/ (- x 1) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))))
#s(approx (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 1/2))
#s(approx (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* 1/32 (pow x 2)))))
#s(approx (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/32 (* -5/256 (pow x 2)))))))
#s(approx (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/32 (* (pow x 2) (- (* 117/8192 (pow x 2)) 5/256)))))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) #s(hole binary64 (+ 1/2 (* -3/32 (pow x 2)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 17/256 (pow x 2)) 3/32)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 17/256 (* -435/8192 (pow x 2)))) 3/32)))))
#s(approx (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 1/4))
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#s(approx (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (+ (* 1/4 (/ (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* x (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (/ 1/128 (* x (* (pow (sqrt 1/2) 4) (pow (+ 1 (sqrt 1/2)) 3)))))))) x)) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (/ 1 (+ 1 (sqrt 1/2))))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) #s(hole binary64 (+ (* -1/2 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (* 1/2 (/ (+ (* -1/32 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x))) x)) (* 1/2 (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/32 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (+ (* 1/4 (/ (+ (* 1/32 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* x (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (/ 1/256 (* x (* (pow (sqrt 1/2) 4) (pow (+ 1 (sqrt 1/2)) 3)))))))) x)) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	((/ (- (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) 2)) (- (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) 2) 2 (/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) (* 1/8 (* x x)) 1/8 (* x x) (- (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))))) (/ 1/2 (+ 1 (sqrt (* 1/2 (- 1 (/ 1 x)))))) (+ 1 (sqrt (* 1/2 (- 1 (/ 1 x))))) (sqrt (* 1/2 (- 1 (/ 1 x)))) (* 1/2 (- 1 (/ 1 x))) (- 1 (/ 1 x)) (/ 1 x) (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (- (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))) (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))
12.0ms	x	@	inf	((/ (- (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) 2)) (- (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) 2) 2 (/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) (* 1/8 (* x x)) 1/8 (* x x) (- (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))))) (/ 1/2 (+ 1 (sqrt (* 1/2 (- 1 (/ 1 x)))))) (+ 1 (sqrt (* 1/2 (- 1 (/ 1 x))))) (sqrt (* 1/2 (- 1 (/ 1 x)))) (* 1/2 (- 1 (/ 1 x))) (- 1 (/ 1 x)) (/ 1 x) (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (- (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))) (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))
11.0ms	x	@	0	((/ (- (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) 2)) (- (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) 2) 2 (/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) (* 1/8 (* x x)) 1/8 (* x x) (- (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))))) (/ 1/2 (+ 1 (sqrt (* 1/2 (- 1 (/ 1 x)))))) (+ 1 (sqrt (* 1/2 (- 1 (/ 1 x))))) (sqrt (* 1/2 (- 1 (/ 1 x)))) (* 1/2 (- 1 (/ 1 x))) (- 1 (/ 1 x)) (/ 1 x) (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (- (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))) (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))

Time

Variable

Point

Expression

13.0ms

-inf

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

12.0ms

inf

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

11.0ms

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

rewrite229.0ms (4.7%)

Memory

-3.2MiB live, 420.5MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1500	22092
0	1553	19172
0	8359	18560

Stop Event

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

Counts

227 → 280

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
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(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1/2 binary64)
(.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
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#s(literal 2 binary64)
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(.f64 #s(literal 1/8 binary64) (.f64 x x))
#s(literal 1/8 binary64)
(*.f64 x x)
#s(approx (- (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
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(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) 2)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (/ (- (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (/ (- (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (/ (- (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))))
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#s(approx (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 2))
#s(approx (* 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) #s(hole binary64 (+ 2 (* -1/8 (pow x 2)))))
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#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
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#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
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#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
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#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx x #s(hole binary64 x))
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#s(approx (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 63/128 (pow x 2)) 5/8)))))
#s(approx (* (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 63/128 (* -435/1024 (pow x 2)))) 5/8)))))
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#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 1/2 (+ 1 (sqrt (* 1/2 (- 1 (/ 1 x)))))) #s(hole binary64 (* 1/2 (/ x (sqrt (* -1/2 x))))))
#s(approx (/ 1/2 (+ 1 (sqrt (* 1/2 (- 1 (/ 1 x)))))) #s(hole binary64 (* x (+ (* -1/2 (/ x (pow (sqrt (* -1/2 x)) 2))) (* 1/2 (/ 1 (sqrt (* -1/2 x))))))))
#s(approx (/ 1/2 (+ 1 (sqrt (* 1/2 (- 1 (/ 1 x)))))) #s(hole binary64 (* x (+ (* x (- (* 3/8 (/ x (pow (sqrt (* -1/2 x)) 3))) (* 1/2 (/ 1 (pow (sqrt (* -1/2 x)) 2))))) (* 1/2 (/ 1 (sqrt (* -1/2 x))))))))
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#s(approx (+ 1 (sqrt (* 1/2 (- 1 (/ 1 x))))) #s(hole binary64 (/ (sqrt (* -1/2 x)) x)))
#s(approx (+ 1 (sqrt (* 1/2 (- 1 (/ 1 x))))) #s(hole binary64 (/ (+ x (sqrt (* -1/2 x))) x)))
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#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
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Outputs
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (neg.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))
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#s(literal 1 binary64)
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(sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
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(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
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(+.f64 (*.f64 x x) #s(literal 1 binary64))
x
#s(literal 1/2 binary64)
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#s(literal 2 binary64)
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#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))))) x))) x) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
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eval128.0ms (2.6%)

Memory: -27.7MiB live, 117.4MiB allocated; 31ms collecting garbage
Compiler: Compiled 20 850 to 2 652 computations (87.3% saved)

prune22.0ms (0.5%)

Memory

-3.0MiB live, 43.6MiB allocated; 3ms collecting garbage

Pruning

20 alts after pruning (7 fresh and 13 done)

	Pruned	Kept	Total
New	372	4	376
Fresh	1	3	4
Picked	1	4	5
Done	0	9	9
Total	374	20	394

Accuracy

99.9%

Counts

394 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.7%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (pow.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	49.0%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))) (-.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))))))
✓	73.7%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))))
✓	73.7%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	73.7%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	73.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	48.7%	(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	73.7%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
✓	73.7%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
✓	72.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
✓	72.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
✓	47.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
✓	48.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
✓	26.3%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓	27.6%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(approx (- (* 11/128 (* x x)) 1/8) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓	26.3%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
✓	53.4%	#s(approx (/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
	49.4%	#s(approx (- (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
	52.7%	#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
	52.4%	#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

Compiler

Compiled 1 671 to 593 computations (64.5% saved)

regimes76.0ms (1.5%)

Memory

16.1MiB live, 109.0MiB allocated; 5ms collecting garbage

Counts

32 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(approx (- (* 11/128 (* x x)) 1/8) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))) (-.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))))))

Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))) (-.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))))))

Outputs

#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

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

Calls

7 calls:

29.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
9.0ms	x
8.0ms	(hypot.f64 #s(literal 1 binary64) x)
8.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
6.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
99.9%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.9%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.9%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.9%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.9%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.9%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes57.0ms (1.2%)

Memory

-11.6MiB live, 131.7MiB allocated; 10ms collecting garbage

Counts

31 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(approx (- (* 11/128 (* x x)) 1/8) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 #s(approx (pow (+ ( x x) 1) -1/2) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 #s(approx (pow (+ ( x x) 1) -1/2) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 #s(approx (pow (+ ( x x) 1) -1/2) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (pow.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))))

Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))))

Outputs

#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

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

Calls

7 calls:

9.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
9.0ms	x
8.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
7.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
7.0ms	(hypot.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
99.9%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.9%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.9%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.9%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.9%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.9%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes60.0ms (1.2%)

Memory

36.2MiB live, 130.8MiB allocated; 12ms collecting garbage

Counts

30 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(approx (- (* 11/128 (* x x)) 1/8) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 #s(approx (pow (+ ( x x) 1) -1/2) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 #s(approx (pow (+ ( x x) 1) -1/2) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 #s(approx (pow (+ ( x x) 1) -1/2) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (pow.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))

Outputs

#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

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

Calls

7 calls:

14.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
9.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
8.0ms	(hypot.f64 #s(literal 1 binary64) x)
8.0ms	x
6.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
99.8%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.8%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.8%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.8%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.8%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.8%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes47.0ms (1%)

Memory

11.6MiB live, 103.4MiB allocated; 7ms collecting garbage

Counts

25 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(approx (- (* 11/128 (* x x)) 1/8) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 #s(approx (pow (+ ( x x) 1) -1/2) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 #s(approx (pow (+ ( x x) 1) -1/2) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 #s(approx (pow (+ ( x x) 1) -1/2) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))

Outputs

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

#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

Calls

7 calls:

10.0ms	x
8.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
6.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
5.0ms	(hypot.f64 #s(literal 1 binary64) x)
5.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
99.8%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.8%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.8%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.8%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.8%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.8%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes49.0ms (1%)

Memory

2.3MiB live, 96.1MiB allocated; 17ms collecting garbage

Counts

21 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(approx (- (* 11/128 (* x x)) 1/8) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Outputs

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

#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

Calls

7 calls:

16.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
8.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
6.0ms	x
5.0ms	(hypot.f64 #s(literal 1 binary64) x)
4.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
99.8%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.8%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.8%	2	`x`
99.8%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.8%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.8%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes36.0ms (0.7%)

Memory

-0.5MiB live, 92.6MiB allocated; 4ms collecting garbage

Counts

19 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(approx (- (* 11/128 (* x x)) 1/8) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (sqrt.f64 #s(literal 1/2 binary64))))))

Outputs

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

#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

Calls

7 calls:

7.0ms	x
6.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
5.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
5.0ms	(hypot.f64 #s(literal 1 binary64) x)
4.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
99.5%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.5%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.5%	2	`x`
99.5%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.5%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.5%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes47.0ms (1%)

Memory

-18.8MiB live, 84.9MiB allocated; 15ms collecting garbage

Counts

18 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(approx (- (* 11/128 (* x x)) 1/8) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))

Outputs

#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

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

Calls

7 calls:

15.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
8.0ms	(hypot.f64 #s(literal 1 binary64) x)
6.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
4.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
99.4%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.4%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.4%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.4%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.4%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.4%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.4%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes42.0ms (0.9%)

Memory

-11.4MiB live, 81.1MiB allocated; 4ms collecting garbage

Counts

15 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(approx (- (* 11/128 (* x x)) 1/8) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Outputs

#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

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

Calls

7 calls:

8.0ms	x
7.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
6.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
6.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
6.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.1%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.1%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.1%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.1%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.1%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.1%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.1%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes20.0ms (0.4%)

Memory

12.2MiB live, 59.0MiB allocated; 1ms collecting garbage

Counts

9 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (/ (- (pow (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) 3) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 3)) (+ (pow (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1) -2) (+ (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))) 2) (* (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1/2 (+ (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(approx (- (* 11/128 (* x x)) 1/8) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))

Outputs

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

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

Calls

7 calls:

3.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
3.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms	(hypot.f64 #s(literal 1 binary64) x)
2.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes14.0ms (0.3%)

Memory

-14.7MiB live, 36.9MiB allocated; 3ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

3.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
2.0ms	x
2.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms	(hypot.f64 #s(literal 1 binary64) x)
2.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
97.9%	2	`(hypot.f64 #s(literal 1 binary64) x)`
97.9%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
97.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
97.9%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
97.9%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
97.9%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
97.9%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes9.0ms (0.2%)

Memory

28.1MiB live, 28.1MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

7 calls:

1.0ms	x
1.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms	(hypot.f64 #s(literal 1 binary64) x)
1.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
1.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
71.3%	2	`(hypot.f64 #s(literal 1 binary64) x)`
71.3%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
71.3%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
71.3%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
71.3%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
71.3%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
71.6%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes8.0ms (0.2%)

Memory

-22.0MiB live, 24.9MiB allocated; 1ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
1.0ms	x
1.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms	(hypot.f64 #s(literal 1 binary64) x)
1.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
26.3%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
26.3%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
26.3%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
26.3%	1	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
26.3%	1	`(hypot.f64 #s(literal 1 binary64) x)`
26.3%	1	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
26.3%	1	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch10.0ms (0.2%)

Memory

21.3MiB live, 21.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.029232198822139902	0.06777463740212954

Samples

5.0ms

80×

valid

Compiler

Compiled 915 to 283 computations (69.1% saved)

Precisions

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

ival-hypot: 1.0ms (32.2% of total)

ival-sqrt: 1.0ms (32.2% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

bsearch2.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.029232198822139902	0.06777463740212954

Compiler

Compiled 535 to 263 computations (50.8% saved)

bsearch27.0ms (0.5%)

Memory

-33.3MiB live, 60.1MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	2.3403920259860407e-5	0.029232198822139902

Samples

17.0ms

128×

valid

Compiler

Compiled 372 to 277 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-hypot: 5.0ms (37.8% of total)

adjust: 2.0ms (15.1% of total)

ival-div!: 2.0ms (15.1% of total)

ival-sqrt: 2.0ms (15.1% of total)

ival-add!: 1.0ms (7.6% of total)

ival-sub!: 1.0ms (7.6% of total)

ival-mult!: 1.0ms (7.6% of total)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9994276315342598	0.9998932475291433

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9994276315342598	0.9998932475291433

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.7071067811955272	0.99844970387544

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch20.0ms (0.4%)

Memory

-1.0MiB live, 49.0MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.11184319237560578	39372763704.125984

Samples

11.0ms

160×

valid

Compiler

Compiled 620 to 473 computations (23.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-hypot: 4.0ms (50.5% of total)

ival-sqrt: 1.0ms (12.6% of total)

ival-div!: 1.0ms (12.6% of total)

ival-mult!: 1.0ms (12.6% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.11184319237560578	39372763704.125984

Compiler

Compiled 550 to 423 computations (23.1% saved)

bsearch9.0ms (0.2%)

Memory

24.6MiB live, 24.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.11184319237560578	39372763704.125984

Samples

5.0ms

80×

valid

Compiler

Compiled 520 to 403 computations (22.5% saved)

Precisions

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

ival-hypot: 1.0ms (33.1% of total)

ival-sqrt: 1.0ms (33.1% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

bsearch1.0ms (0%)

Memory

3.9MiB live, 3.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.11184319237560578	39372763704.125984

Compiler

Compiled 330 to 343 computations (-3.9% saved)

bsearch31.0ms (0.6%)

Memory

-21.6MiB live, 72.4MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	3.433385920699002e-84	1.1165632819313238e-76

Samples

22.0ms

144×

valid

Compiler

Compiled 281 to 292 computations (-3.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-hypot: 7.0ms (40% of total)

adjust: 4.0ms (22.8% of total)

ival-div!: 2.0ms (11.4% of total)

ival-sqrt: 2.0ms (11.4% of total)

ival-add!: 1.0ms (5.7% of total)

ival-sub!: 1.0ms (5.7% of total)

ival-mult!: 1.0ms (5.7% of total)

derivations423.0ms (8.6%)

Memory

-23.6MiB live, 368.0MiB allocated; 143ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 406 to 129 computations (68.2% saved)

preprocess96.0ms (2%)

Memory: -0.1MiB live, 235.5MiB allocated; 13ms collecting garbage
Remove: (abs x)
Compiler: Compiled 1 898 to 1 034 computations (45.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (37.7%)

preprocess135.0ms (2.8%)

series6.0ms (0.1%)

rewrite184.0ms (3.8%)

eval47.0ms (1%)

prune21.0ms (0.4%)

series51.0ms (1%)

rewrite283.0ms (5.8%)

eval54.0ms (1.1%)

prune20.0ms (0.4%)

series183.0ms (3.7%)

rewrite378.0ms (7.7%)

eval156.0ms (3.2%)

prune18.0ms (0.4%)

series50.0ms (1%)

rewrite229.0ms (4.7%)

eval128.0ms (2.6%)

prune22.0ms (0.5%)

regimes76.0ms (1.5%)

regimes57.0ms (1.2%)

regimes60.0ms (1.2%)

regimes47.0ms (1%)

regimes49.0ms (1%)

regimes36.0ms (0.7%)

regimes47.0ms (1%)

regimes42.0ms (0.9%)

regimes20.0ms (0.4%)

regimes14.0ms (0.3%)

regimes9.0ms (0.2%)

regimes8.0ms (0.2%)

bsearch10.0ms (0.2%)

bsearch2.0ms (0%)

bsearch27.0ms (0.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch20.0ms (0.4%)

bsearch2.0ms (0%)

bsearch9.0ms (0.2%)

bsearch1.0ms (0%)

bsearch31.0ms (0.6%)

derivations423.0ms (8.6%)

preprocess96.0ms (2%)

end0.0ms (0%)

Profiling