Metrics for Given's Rotation SVD example, simplified

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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 (34.1%)

Memory

46.0MiB live, 2 279.5MiB allocated; 509ms collecting garbage

Samples

800.0ms	2 903×	2	valid
367.0ms	4 148×	0	valid
325.0ms	1 205×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-hypot: 511.0ms (41.5% of total)

ival-sqrt: 256.0ms (20.8% of total)

adjust: 145.0ms (11.8% of total)

ival-div!: 130.0ms (10.5% of total)

ival-mult!: 111.0ms (9% of total)

ival-sub!: 43.0ms (3.5% of total)

ival-add!: 36.0ms (2.9% of total)

Bogosity

preprocess57.0ms (1.1%)

Memory

-22.1MiB live, 72.6MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	30
1	105	30
2	298	30
3	1267	30

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

17.4MiB live, 17.4MiB 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)

rewrite257.0ms (4.9%)

Memory

9.1MiB live, 276.3MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	306	1567
0	316	1307
1	2558	1304
0	8391	1248

Stop Event

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

Counts

73 → 142

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 (-.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 (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)))))))
(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) (sqrt.f64 (*.f64 (+.f64 (/.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) (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)))))
#s(literal 1 binary64)
(.f64 (sqrt.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 (sqrt.f64 (*.f64 (+.f64 (/.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 #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)))
(fabs.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)))))
(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))))
(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 (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))))
(fabs.f64 (*.f64 (+.f64 (/.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 1 binary64) (/.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 (neg.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (/.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)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #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 -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (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) (/.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 (fabs.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)))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 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 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fabs.f64 (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 (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(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 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))))))

eval23.0ms (0.4%)

Memory: 20.2MiB live, 58.8MiB allocated; 13ms collecting garbage
Compiler: Compiled 1 811 to 779 computations (57% saved)

prune703.0ms (13.3%)

Memory

-108.1MiB live, 198.1MiB allocated; 946ms collecting garbage

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	126	12	138
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	12	139

Accuracy

99.8%

Counts

139 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.7%	(/.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)))))))
▶	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)))))
	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)))))
	46.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 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 (fma.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 (fma.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 414 to 372 computations (10.1% saved)

series50.0ms (0.9%)

Memory

-21.3MiB live, 25.3MiB allocated; 49ms collecting garbage

Counts

27 → 101

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((/ (- 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)) 1 (* (+ (/ 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 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (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)))))))) (* (* x x) 1/8) (* x x) 1/8 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* -1/8 (* x x)) 1) -1/8 (- 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)
4.0ms	x	@	-inf	((/ (- 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)) 1 (* (+ (/ 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 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (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)))))))) (* (* x x) 1/8) (* x x) 1/8 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* -1/8 (* x x)) 1) -1/8 (- 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)
2.0ms	x	@	0	((/ (- 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)) 1 (* (+ (/ 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 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (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)))))))) (* (* x x) 1/8) (* x x) 1/8 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* -1/8 (* x x)) 1) -1/8 (- 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)

Time

Variable

Point

Expression

4.0ms

inf

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

4.0ms

-inf

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

2.0ms

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

rewrite210.0ms (4%)

Memory

18.8MiB live, 289.8MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	507	3679
0	537	2901
1	4350	2708
0	8943	2627

Stop Event

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

Counts

128 → 346

Calls

Call 1

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

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

eval55.0ms (1%)

Memory: 24.2MiB live, 121.8MiB allocated; 23ms collecting garbage
Compiler: Compiled 6 752 to 2 136 computations (68.4% saved)

prune19.0ms (0.4%)

Memory

-4.4MiB live, 41.7MiB allocated; 4ms collecting garbage

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	351	9	360
Fresh	4	3	7
Picked	1	4	5
Done	0	0	0
Total	356	16	372

Accuracy

99.9%

Counts

372 → 16

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 (sqrt.f64 (.f64 (-.f64 (/.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 (+.f64 (/.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)))
▶	48.4%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
▶	48.2%	(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.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 (sqrt.f64 (.f64 (-.f64 (/.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 (/.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))))
	72.9%	(-.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))))
	46.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 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 (fma.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)))
	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) (+.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))))
	52.7%	#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (fma.f64 (fma.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 (+ (* 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))

Compiler

Compiled 555 to 450 computations (18.9% saved)

series21.0ms (0.4%)

Memory

-6.0MiB live, 39.4MiB allocated; 5ms collecting garbage

Counts

37 → 127

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((- (/ 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 (* (- (/ 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 1/2 (/ (* (- (/ 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 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (+ (* -11/128 (* x x)) 1/8) (* x x)) (+ (* -11/128 (* x x)) 1/8) -11/128 (* x x) 1/8 (/ (- 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)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (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 (+ (* x x) 1))) 1) 1/2)) (- 1/2 (/ 1/2 x)) (+ 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))
6.0ms	x	@	inf	((- (/ 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 (* (- (/ 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 1/2 (/ (* (- (/ 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 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (+ (* -11/128 (* x x)) 1/8) (* x x)) (+ (* -11/128 (* x x)) 1/8) -11/128 (* x x) 1/8 (/ (- 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)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (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 (+ (* x x) 1))) 1) 1/2)) (- 1/2 (/ 1/2 x)) (+ 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))
3.0ms	x	@	0	((- (/ 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 (* (- (/ 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 1/2 (/ (* (- (/ 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 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (+ (* -11/128 (* x x)) 1/8) (* x x)) (+ (* -11/128 (* x x)) 1/8) -11/128 (* x x) 1/8 (/ (- 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)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (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 (+ (* x x) 1))) 1) 1/2)) (- 1/2 (/ 1/2 x)) (+ 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))

Time

Variable

Point

Expression

8.0ms

-inf

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

6.0ms

inf

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

3.0ms

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

rewrite237.0ms (4.5%)

Memory

-20.9MiB live, 305.4MiB allocated; 79ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	711	6889
0	755	5274
1	6284	5263
0	8296	5067

Stop Event

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

Counts

164 → 408

Calls

Call 1

Inputs
(-.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 (/.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 (sqrt.f64 (*.f64 (-.f64 (/.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)))
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Outputs
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#s(approx (sqrt (+ (* x x) 1)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x))
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#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
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#s(approx (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) (+.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 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/32 binary64))) x))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.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 (sqrt (+ (* x x) 1))) 1) 1/2) (+.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 (sqrt (+ (* x x) 1))) -1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt (+ (* x x) 1))) -1) (+.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 (sqrt (+ (* x x) 1))) -1) (+.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 (+ (* x x) 1))) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) (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 (+ (* x x) 1))) (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) x) (.f64 (*.f64 x x) x)))) x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
#s(approx (sqrt (+ (* x x) 1)) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (.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 (+ (* x x) 1)) (.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))))))
#s(approx (/ (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2) (+ (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) 1)) (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) (+ (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) 1)) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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)))) #s(literal 1/32 binary64) (.f64 #s(literal -1/4 binary64) (/.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))))) x) (.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))) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2) (+ (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) 1)) (+.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 (fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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)))) #s(literal 1/32 binary64) (.f64 #s(literal -1/4 binary64) (/.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))))) (/.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 (fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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)))) #s(literal 1/32 binary64) (.f64 #s(literal -1/4 binary64) (/.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))))) (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 (/ 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 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/32 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 (- (/ 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 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.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)))))))
#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 (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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)))) #s(literal 1/64 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 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)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))))) x)) (/.f64 #s(literal 1/8 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)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 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 (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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)))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 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)))) (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 (fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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)))) #s(literal 1/64 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 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)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal -3/64 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))) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 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)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))) x)) (/.f64 #s(literal 1/8 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)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)) #s(literal 1/2 binary64)))

eval70.0ms (1.3%)

Memory: -14.1MiB live, 124.5MiB allocated; 17ms collecting garbage
Compiler: Compiled 10 645 to 2 610 computations (75.5% saved)

prune21.0ms (0.4%)

Memory

-11.9MiB live, 40.7MiB allocated; 5ms collecting garbage

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	407	11	418
Fresh	3	4	7
Picked	3	2	5
Done	0	4	4
Total	413	21	434

Accuracy

99.9%

Counts

434 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.7%	(fma.f64 (pow.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))))) #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 -1 binary64)) (neg.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 (sqrt.f64 (.f64 (-.f64 (/.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)))
	48.4%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
	48.4%	(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 #s(approx (/ 1 (sqrt (+ ( x x) 1))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 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 (/.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)))))
	48.4%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
▶	72.9%	(-.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))))
▶	46.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 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 (fma.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)))
	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) (-.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))))
	52.2%	#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x))))
	52.7%	#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (fma.f64 (fma.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 (+ (* 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)))
	52.4%	#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) 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 868 to 608 computations (30% saved)

series11.0ms (0.2%)

Memory

20.4MiB live, 20.4MiB allocated; 0ms collecting garbage

Counts

27 → 128

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

rewrite229.0ms (4.3%)

Memory

-12.1MiB live, 365.2MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	720	6849
0	762	5208
1	6432	5208
0	8066	5032

Stop Event

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

Counts

155 → 358

Calls

Call 1

Inputs
(-.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 (/.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 (sqrt.f64 (*.f64 (-.f64 (/.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 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 (sqrt.f64 (.f64 (-.f64 (/.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)))))) (+.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) (sqrt.f64 (*.f64 (-.f64 (/.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 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fma.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) (.f64 (-.f64 (/.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)))
#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 (* 1/8 (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 (* (pow x 2) (+ 1/8 (* -11/128 (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 (* (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)) (/ (* (- (/ 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 (/ 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))
#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) (- (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 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 (+ (* 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) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (+ (* 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#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))))))
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#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 (/ (+ (* 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 (- (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 (- (+ (* 1/16 (/ 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 (- (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 (/ (+ (* -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)))))))))
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#s(approx (/ 1 (- (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) -1)) #s(hole binary64 (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))))
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#s(approx (/ 1 (- (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) -1)) #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 (- (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) -1) #s(hole binary64 (+ 1 (sqrt 1/2))))
#s(approx (- (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) -1) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))))
#s(approx (- (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) -1) #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 (- (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) -1) #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)))
#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) (- (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 (+ (* 1/2 (/ (- (* 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) (- (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) -1)) #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 (+ (* 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (* 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))))))
#s(approx (+ (* 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (/ (- 1 (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) (- (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) -1)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ (- 1 (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) (- (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) -1)) #s(hole binary64 (- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))))
#s(approx (/ (- 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 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))))
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Outputs
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#s(approx (+ (* 1 (sqrt (+ (* x x) 1))) 1) (.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) (- (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) -1)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.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)))))))
#s(approx (/ (- 1 (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) (- (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) -1)) (+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 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 1/8 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)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))) x)) (/.f64 #s(literal 1/8 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)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) (- (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) -1)) (+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 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)))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/32 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 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 1/8 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)))) (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 #s(literal -3/64 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)) (/.f64 #s(literal 1/64 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 1/8 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)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))) x)) (/.f64 #s(literal 1/8 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)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (- 1 (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) (+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)) #s(literal 1/2 binary64)))

eval81.0ms (1.5%)

Memory: 6.6MiB live, 190.5MiB allocated; 38ms collecting garbage
Compiler: Compiled 14 397 to 2 688 computations (81.3% saved)

prune26.0ms (0.5%)

Memory

26.5MiB live, 72.2MiB allocated; 4ms collecting garbage

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	600	5	605
Fresh	3	7	10
Picked	2	3	5
Done	0	6	6
Total	605	21	626

Accuracy

99.9%

Counts

626 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.7%	(fma.f64 (pow.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))))) #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 -1 binary64)) (neg.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 (sqrt.f64 (.f64 (-.f64 (/.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)))
	48.4%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
	48.4%	(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 #s(approx (/ 1 (sqrt (+ ( x x) 1))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 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 (/.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)))))
	48.4%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
	46.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #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 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #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 (fma.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)))
	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) (-.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))))
	52.7%	#s(approx (/ (- 1 (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) (- (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) -1)) (.f64 (fma.f64 (fma.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)))
	52.2%	#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x))))
✓	52.4%	#s(approx (/ (- 1 (* (+ (/ 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)))
	52.4%	#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) 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 1 119 to 537 computations (52% saved)

regimes67.0ms (1.3%)

Memory

16.5MiB live, 157.0MiB allocated; 18ms collecting garbage

Counts

38 → 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)))
(-.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) (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))))
#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 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- 1 (* (+ (/ 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)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 #s(literal 11/128 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x))))
(-.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 #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) #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 #s(approx (/ 1 (sqrt (+ ( x x) 1))) (/.f64 #s(literal 1 binary64) 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))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #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 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.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 (fma.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 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (fma.f64 (fma.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 (+ (* x x) 1))) -1) 1/2)) (- (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) -1)) (.f64 (fma.f64 (fma.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #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))) (-.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))) (+.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))) (+.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))) (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 (-.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) (-.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))) (/.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 #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 (/.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 (sqrt.f64 (.f64 (-.f64 (/.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 (/.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) (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 #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)))
(fma.f64 (pow.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))))) #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 -1 binary64)) (neg.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 (sqrt.f64 (.f64 (-.f64 (/.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)))))
(fma.f64 (pow.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))))) #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 -1 binary64)) (neg.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 (sqrt.f64 (.f64 (-.f64 (/.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 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.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 (/.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

#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 (sqrt.f64 (*.f64 (-.f64 (/.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 (/.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))))

Calls

7 calls:

15.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
12.0ms	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)))))
7.0ms	(hypot.f64 #s(literal 1 binary64) 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))))))

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)

regimes51.0ms (1%)

Memory

-12.9MiB live, 125.1MiB 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)))
(-.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) (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))))
#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 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- 1 (* (+ (/ 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)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 #s(literal 11/128 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x))))
(-.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 #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) #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 #s(approx (/ 1 (sqrt (+ ( x x) 1))) (/.f64 #s(literal 1 binary64) 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))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #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 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.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 (fma.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 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (fma.f64 (fma.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 (+ (* x x) 1))) -1) 1/2)) (- (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) -1)) (.f64 (fma.f64 (fma.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #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))) (-.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))) (+.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))) (+.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))) (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 (-.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) (-.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))) (/.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 #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 (fma.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 #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))))

Outputs

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

Calls

7 calls:

11.0ms	x
9.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
7.0ms	(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	(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)

regimes45.0ms (0.8%)

Memory

22.1MiB live, 120.2MiB allocated; 6ms collecting garbage

Counts

28 → 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)))
(-.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) (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))))
#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 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- 1 (* (+ (/ 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)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 #s(literal 11/128 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x))))
(-.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 #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) #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 #s(approx (/ 1 (sqrt (+ ( x x) 1))) (/.f64 #s(literal 1 binary64) 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))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #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 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.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 (fma.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 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (fma.f64 (fma.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 (+ (* x x) 1))) -1) 1/2)) (- (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) -1)) (.f64 (fma.f64 (fma.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #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))) (-.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))) (+.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))) (+.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))) (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)))

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 (fma.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:

8.0ms	(-.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))))))
7.0ms	x
7.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
6.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
5.0ms	(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)

regimes43.0ms (0.8%)

Memory

-34.2MiB live, 109.7MiB allocated; 6ms collecting garbage

Counts

27 → 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)))
(-.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) (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))))
#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 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- 1 (* (+ (/ 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)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 #s(literal 11/128 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x))))
(-.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 #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) #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 #s(approx (/ 1 (sqrt (+ ( x x) 1))) (/.f64 #s(literal 1 binary64) 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))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #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 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.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 (fma.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 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (fma.f64 (fma.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 (+ (* x x) 1))) -1) 1/2)) (- (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) -1)) (.f64 (fma.f64 (fma.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #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))) (-.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))) (+.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))) (+.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)))))

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

regimes38.0ms (0.7%)

Memory

11.8MiB live, 105.4MiB allocated; 4ms collecting garbage

Counts

24 → 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)))
(-.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) (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))))
#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 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- 1 (* (+ (/ 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)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 #s(literal 11/128 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x))))
(-.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 #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) #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 #s(approx (/ 1 (sqrt (+ ( x x) 1))) (/.f64 #s(literal 1 binary64) 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))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #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 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.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 (fma.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 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (fma.f64 (fma.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 (+ (* x x) 1))) -1) 1/2)) (- (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) -1)) (.f64 (fma.f64 (fma.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 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))

Outputs

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

6.0ms	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))))))
6.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
5.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
5.0ms	(hypot.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
99.7%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.7%	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))))))`
99.7%	2	`x`
99.7%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.7%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.7%	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)

regimes41.0ms (0.8%)

Memory

3.1MiB live, 110.3MiB allocated; 13ms collecting garbage

Counts

23 → 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)))
(-.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) (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))))
#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 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- 1 (* (+ (/ 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)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 #s(literal 11/128 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x))))
(-.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 #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) #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 #s(approx (/ 1 (sqrt (+ ( x x) 1))) (/.f64 #s(literal 1 binary64) 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))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #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 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.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 (fma.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 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (fma.f64 (fma.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 (+ (* x x) 1))) -1) 1/2)) (- (sqrt (* (- (/ 1 (sqrt (+ (* x x) 1))) -1) 1/2)) -1)) (.f64 (fma.f64 (fma.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)))

Outputs

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

Calls

7 calls:

11.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
6.0ms	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))))))
5.0ms	(hypot.f64 #s(literal 1 binary64) x)
4.0ms	(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
99.6%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.6%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.6%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.6%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.6%	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)))))`
99.6%	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))))))`
99.6%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes32.0ms (0.6%)

Memory

4.5MiB live, 97.8MiB allocated; 3ms collecting garbage

Counts

20 → 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)))
(-.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) (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))))
#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 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- 1 (* (+ (/ 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)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 #s(literal 11/128 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x))))
(-.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 #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) #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 #s(approx (/ 1 (sqrt (+ ( x x) 1))) (/.f64 #s(literal 1 binary64) 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))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #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 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.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)))))

Outputs

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

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

Calls

7 calls:

6.0ms	x
5.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
5.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
4.0ms	(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
99.3%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.3%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.3%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.3%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.3%	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)))))`
99.3%	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))))))`
99.3%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes26.0ms (0.5%)

Memory

-23.3MiB live, 74.6MiB allocated; 3ms 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)))
(-.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) (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))))
#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 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- 1 (* (+ (/ 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)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 #s(literal 11/128 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x))))
(-.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 #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) #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))

Outputs

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

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

Calls

7 calls:

5.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
5.0ms	x
3.0ms	(hypot.f64 #s(literal 1 binary64) x)
3.0ms	(-.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))))))
3.0ms	(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
99.3%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.3%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.3%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.3%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.3%	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)))))`
99.3%	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))))))`
99.3%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes23.0ms (0.4%)

Memory

23.2MiB live, 70.2MiB allocated; 2ms collecting garbage

Counts

13 → 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)))
(-.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) (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))))
#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 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- 1 (* (+ (/ 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)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 #s(literal 11/128 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x))))
(-.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 #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)))))

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 #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:

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))))
4.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms	(hypot.f64 #s(literal 1 binary64) x)
3.0ms	(-.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
99.1%	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

4.4MiB live, 51.6MiB allocated; 1ms collecting garbage

Counts

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

Outputs

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

(-.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)))))

Calls

7 calls:

4.0ms	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))))))
2.0ms	(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
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)

regimes15.0ms (0.3%)

Memory

-10.4MiB live, 36.4MiB allocated; 2ms collecting garbage

Counts

7 → 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)))
(-.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) (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))))
#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)))

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 #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)))))

Calls

7 calls:

3.0ms	(-.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))))))
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	(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

-5.6MiB live, 44.7MiB allocated; 1ms collecting garbage

Counts

6 → 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)))
(-.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) (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))))

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

Calls

7 calls:

3.0ms	(*.f64 #s(literal 1/2 binary64) (+.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	(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
98.1%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.1%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.1%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.1%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.1%	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)))))`
98.1%	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))))))`
98.1%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes12.0ms (0.2%)

Memory

-5.6MiB live, 35.5MiB allocated; 3ms collecting garbage

Counts

3 → 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)))

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
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	(*.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)

regimes8.0ms (0.1%)

Memory

26.9MiB live, 26.9MiB 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	(-.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	(*.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
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)

regimes17.0ms (0.3%)

Memory

-15.3MiB live, 23.3MiB allocated; 11ms 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:

11.0ms	(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	(-.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	(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)

bsearch57.0ms (1.1%)

Memory

-6.2MiB live, 90.0MiB allocated; 39ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
54.0ms	2.3403920259860407e-5	0.029232198822139902

Samples

16.0ms

128×

valid

Compiler

Compiled 380 to 285 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-hypot: 4.0ms (32.4% of total)

adjust: 2.0ms (16.2% of total)

ival-sqrt: 2.0ms (16.2% of total)

ival-add!: 1.0ms (8.1% of total)

ival-sub!: 1.0ms (8.1% of total)

ival-div!: 1.0ms (8.1% of total)

ival-mult!: 1.0ms (8.1% of total)

bsearch9.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.029232198822139902	0.06777463740212954

Samples

5.0ms

80×

valid

Compiler

Compiled 240 to 203 computations (15.4% saved)

Precisions

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

ival-hypot: 1.0ms (32.4% of total)

ival-sqrt: 1.0ms (32.4% 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)

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

0.7MiB live, 0.7MiB 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, 0.9MiB 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)

bsearch24.0ms (0.5%)

Memory

-10.5MiB live, 36.3MiB allocated; 8ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.11184319237560578	39372763704.125984

Samples

16.0ms

160×

valid

Compiler

Compiled 530 to 473 computations (10.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-hypot: 3.0ms (50.2% of total)

ival-sqrt: 1.0ms (16.7% of total)

ival-div!: 1.0ms (16.7% of total)

ival-mult!: 1.0ms (16.7% 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

2.8MiB live, 2.8MiB 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 540 to 453 computations (16.1% saved)

bsearch2.0ms (0%)

Memory

3.0MiB live, 3.0MiB 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 560 to 423 computations (24.5% saved)

bsearch9.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.3403920259860407e-5	0.029232198822139902

Samples

6.0ms

48×

valid

Compiler

Compiled 260 to 261 computations (-0.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-hypot: 2.0ms (45.4% of total)

adjust: 1.0ms (22.7% of total)

ival-sqrt: 1.0ms (22.7% of total)

ival-sub!: 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

4.4MiB live, 4.4MiB 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 460 to 413 computations (10.2% saved)

bsearch3.0ms (0.1%)

Memory

-43.6MiB live, 3.5MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	0.11184319237560578	39372763704.125984

Compiler

Compiled 390 to 393 computations (-0.8% saved)

bsearch5.0ms (0.1%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.11184319237560578	39372763704.125984

Samples

2.0ms

32×

valid

Compiler

Compiled 360 to 373 computations (-3.6% saved)

Precisions

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

ival-hypot: 1.0ms (82.4% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

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

bsearch9.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB 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 330 to 343 computations (-3.9% saved)

Precisions

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

ival-hypot: 1.0ms (32.6% of total)

ival-sqrt: 1.0ms (32.6% 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)

bsearch29.0ms (0.5%)

Memory

2.1MiB live, 49.2MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	3.433385920699002e-84	1.1165632819313238e-76

Samples

20.0ms

144×

valid

Compiler

Compiled 281 to 292 computations (-3.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-hypot: 7.0ms (41.9% of total)

adjust: 4.0ms (24% of total)

ival-div!: 2.0ms (12% of total)

ival-sqrt: 2.0ms (12% of total)

ival-add!: 1.0ms (6% of total)

ival-sub!: 1.0ms (6% of total)

ival-mult!: 1.0ms (6% of total)

derivations490.0ms (9.3%)

Memory

31.1MiB live, 538.1MiB allocated; 72ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 309 to 129 computations (58.3% saved)

preprocess317.0ms (6%)

Memory: 27.7MiB live, 338.6MiB allocated; 248ms collecting garbage
Remove: (abs x)
Compiler: Compiled 1 619 to 1 134 computations (30% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (34.1%)

preprocess57.0ms (1.1%)

series6.0ms (0.1%)

rewrite257.0ms (4.9%)

eval23.0ms (0.4%)

prune703.0ms (13.3%)

series50.0ms (0.9%)

rewrite210.0ms (4%)

eval55.0ms (1%)

prune19.0ms (0.4%)

series21.0ms (0.4%)

rewrite237.0ms (4.5%)

eval70.0ms (1.3%)

prune21.0ms (0.4%)

series11.0ms (0.2%)

rewrite229.0ms (4.3%)

eval81.0ms (1.5%)

prune26.0ms (0.5%)

regimes67.0ms (1.3%)

regimes51.0ms (1%)

regimes45.0ms (0.8%)

regimes43.0ms (0.8%)

regimes38.0ms (0.7%)

regimes41.0ms (0.8%)

regimes32.0ms (0.6%)

regimes26.0ms (0.5%)

regimes23.0ms (0.4%)

regimes20.0ms (0.4%)

regimes15.0ms (0.3%)

regimes14.0ms (0.3%)

regimes12.0ms (0.2%)

regimes8.0ms (0.1%)

regimes17.0ms (0.3%)

bsearch57.0ms (1.1%)

bsearch9.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch24.0ms (0.5%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch9.0ms (0.2%)

bsearch2.0ms (0%)

bsearch3.0ms (0.1%)

bsearch5.0ms (0.1%)

bsearch9.0ms (0.2%)

bsearch29.0ms (0.5%)

derivations490.0ms (9.3%)

preprocess317.0ms (6%)

end0.0ms (0%)

Profiling