Metrics for Given's Rotation SVD example, simplified

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample2.0s (39.4%)

Memory

-6.4MiB live, 1 491.5MiB allocated; 1.2s collecting garbage

Samples

681.0ms	3 011×	2	valid
285.0ms	4 029×	0	valid
155.0ms	1 216×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 926.0ms

ival-hypot: 332.0ms (35.9% of total)

adjust: 141.0ms (15.2% of total)

ival-sqrt: 134.0ms (14.5% of total)

ival-div!: 118.0ms (12.7% of total)

ival-sub!: 99.0ms (10.7% of total)

ival-mult!: 66.0ms (7.1% of total)

ival-add!: 38.0ms (4.1% of total)

Bogosity

preprocess212.0ms (4.2%)

Memory

-52.7MiB live, 50.7MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	30
1	98	30
2	257	30
3	786	30
4	6778	30

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.2%	(-.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))))))

Symmetry

(abs x)

Compiler

Compiled 24 to 18 computations (25% saved)

series7.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

9 → 65

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 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1))
#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 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#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) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#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 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (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) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (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	@	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)
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)

Time

Variable

Point

Expression

2.0ms

((- 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)

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)

rewrite314.0ms (6.2%)

Memory

50.6MiB live, 227.7MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	312	1674
0	322	1347
1	2447	1314
0	9252	1256
1	24973	1256

Stop Event

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

Counts

74 → 129

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 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1))
#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 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#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) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#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 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (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) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (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) (pow.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)))) #s(literal 3 binary64))) (+.f64 #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 #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))))))))
(/.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)
(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))))
(.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))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.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 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(sqrt.f64 (.f64 (.f64 (+.f64 (/.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 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (/.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.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) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.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 (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 (sqrt.f64 (fma.f64 x x #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) (/.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))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 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))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.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)
x
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) #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))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64) #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 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 2 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)))))) #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) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) x)) #s(literal 3/16 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 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 (sqrt.f64 #s(literal 1/8 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#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 (sqrt.f64 #s(literal 1/8 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 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/8 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 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (sqrt.f64 #s(literal 1/8 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 (sqrt.f64 #s(literal 1/8 binary64)) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (sqrt.f64 #s(literal 1/8 binary64))) 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))))))

eval19.0ms (0.4%)

Memory: -7.7MiB live, 35.6MiB allocated; 8ms collecting garbage
Compiler: Compiled 1 700 to 718 computations (57.8% saved)

prune14.0ms (0.3%)

Memory

-22.6MiB live, 23.2MiB allocated; 5ms collecting garbage

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	113	12	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	12	126

Accuracy

78.2%

Counts

126 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.9%	(/.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)))))))
	77.9%	(/.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)))))
	77.2%	(/.f64 (+.f64 #s(literal 1 binary64) (pow.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)))) #s(literal 3 binary64))) (+.f64 #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 #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))))))))
▶	77.2%	(-.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)))))
	51.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))))))
▶	26.8%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #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)))))
▶	48.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
	50.5%	(-.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)))))
	50.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	27.5%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	29.0%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
▶	27.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 454 to 394 computations (13.2% saved)

series26.0ms (0.5%)

Memory

-3.1MiB live, 42.3MiB allocated; 7ms collecting garbage

Counts

33 → 155

Calls

Call 1

Inputs
(/.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 #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)))
#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 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1/2 binary64)
#s(literal 3/2 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))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (+.f64 (/.f64 #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)))))))) #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(sqrt.f64 #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 #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 1/2 binary64) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #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)))))
(sqrt.f64 #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 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/4 binary64)
(*.f64 x x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))

Outputs
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (* 3/8 (/ (pow x 2) (+ 2 (* (sqrt 1/2) (sqrt 2)))))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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 (* (pow x 2) (+ (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 3/8 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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) (+ (* (pow x 2) (- (* (pow x 2) (- (* 275/1024 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* -1 (/ (* (+ (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 3/8 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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) (+ (* (pow x 2) (- (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (+ (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))))) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* 8043/32768 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* 3/8 (/ (- (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) 5/32) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (/ (* (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (- (* 275/1024 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* -1 (/ (* (+ (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ 2 (* (sqrt 1/2) (sqrt 2))))))))) (* 275/1024 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1 (/ (* (+ (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 3/8 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (* 3/8 (pow x 2))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (* (pow x 2) (+ 3/8 (* -39/128 (pow x 2))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (* (pow x 2) (+ 3/8 (* (pow x 2) (- (* 275/1024 (pow x 2)) 39/128))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (* (pow x 2) (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 275/1024 (* -8043/32768 (pow x 2)))) 39/128))))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 1))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ 1 (* -3/8 (pow x 2)))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 39/128 (pow x 2)) 3/8)))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 39/128 (* -275/1024 (pow x 2)))) 3/8)))))
#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))
#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 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 2 (* (sqrt 1/2) (sqrt 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 (+ 2 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4))))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 2 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (- (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))) 1/4))))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 2 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (- (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ 3/16 (+ (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* (pow x 2) (- (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) 5/32)))))) 1/4))))))
#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4))))))
#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (- (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))) 1/4))))))
#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (- (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ 3/16 (+ (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* (pow x 2) (- (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) 5/32)))))) 1/4))))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1/2 (/ 1/2 x)) #s(hole binary64 (/ -1/2 x)))
#s(approx (- 1/2 (/ 1/2 x)) #s(hole binary64 (/ (- (* 1/2 x) 1/2) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 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 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 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))) 1/2) #s(hole binary64 1/2))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (/ (- 1 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))))))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ (* (sqrt 1/2) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 3) (+ 3/2 (sqrt 1/2))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (* (pow x 3) (+ 3/2 (sqrt 1/2)))) (/ (* (- 1 (sqrt 1/8)) (- (* -3/16 (sqrt 1/2)) 1/4)) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))))))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- 1 (sqrt 1/8))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- 1 (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8))))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- (+ 1 (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8))))) (+ (sqrt 1/8) (/ 3/16 (* x (sqrt 1/8)))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- (+ 1 (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (sqrt 1/8))))) (+ (sqrt 1/8) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8))))))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (sqrt 1/8)))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ (sqrt 1/8) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8)))))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ (sqrt 1/8) (+ (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (sqrt 1/8)))) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8))))))))
#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 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 3/2 (sqrt 1/2))))
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#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (sqrt 1/2)))
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#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
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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 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (- 1/2 (/ 1/2 x)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ (* -1/4 (* x x)) 1) #s(hole binary64 (* -1/4 (pow x 2))))
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#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #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 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 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 (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 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))) 1/2) #s(hole binary64 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (- (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ 1 (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (- (+ (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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 (/ (- (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (+ (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (+ 3/2 (sqrt 1/2))) (/ (* (- 1 (sqrt 1/8)) (- (* -3/16 (sqrt 1/2)) 1/4)) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- (+ 1 (* 3/16 (/ 1 (* x (sqrt 1/8))))) (sqrt 1/8))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (- (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))))
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#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) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (* 1/2 (sqrt 1/2))) x))))))
#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2)))) x))))))
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#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))))
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Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 3/2 (+ 1 (+ (* (+ (/ 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 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 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)))))))) 0 (- 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 (/ 1/2 x)) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* -1/4 (* x x)) 1) -1/4 (* x x) (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))
6.0ms	x	@	inf	((/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 3/2 (+ 1 (+ (* (+ (/ 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 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 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)))))))) 0 (- 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 (/ 1/2 x)) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* -1/4 (* x x)) 1) -1/4 (* x x) (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))
4.0ms	x	@	-inf	((/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 3/2 (+ 1 (+ (* (+ (/ 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 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 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)))))))) 0 (- 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 (/ 1/2 x)) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* -1/4 (* x x)) 1) -1/4 (* x x) (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))

Time

Variable

Point

Expression

7.0ms

((/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 3/2 (+ 1 (+ (* (+ (/ 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 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 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)))))))) 0 (- 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 (/ 1/2 x)) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* -1/4 (* x x)) 1) -1/4 (* x x) (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))

6.0ms

inf

((/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 3/2 (+ 1 (+ (* (+ (/ 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 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 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)))))))) 0 (- 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 (/ 1/2 x)) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* -1/4 (* x x)) 1) -1/4 (* x x) (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))

4.0ms

-inf

((/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 3/2 (+ 1 (+ (* (+ (/ 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 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 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)))))))) 0 (- 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 (/ 1/2 x)) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* -1/4 (* x x)) 1) -1/4 (* x x) (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))

rewrite334.0ms (6.6%)

Memory

6.7MiB live, 205.3MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	879	7389
0	917	5098
1	7649	5098
0	8418	4778
1	20986	4778

Stop Event

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

Counts

188 → 320

Calls

Call 1

Inputs
(/.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 #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)))
#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 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1/2 binary64)
#s(literal 3/2 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))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (+.f64 (/.f64 #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)))))))) #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(sqrt.f64 #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 #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 1/2 binary64) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #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)))))
(sqrt.f64 #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 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/4 binary64)
(*.f64 x x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (* 3/8 (/ (pow x 2) (+ 2 (* (sqrt 1/2) (sqrt 2)))))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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 (* (pow x 2) (+ (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 3/8 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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) (+ (* (pow x 2) (- (* (pow x 2) (- (* 275/1024 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* -1 (/ (* (+ (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 3/8 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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) (+ (* (pow x 2) (- (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (+ (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))))) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* 8043/32768 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* 3/8 (/ (- (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) 5/32) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (/ (* (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (- (* 275/1024 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* -1 (/ (* (+ (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ 2 (* (sqrt 1/2) (sqrt 2))))))))) (* 275/1024 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1 (/ (* (+ (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 3/8 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (* 3/8 (pow x 2))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (* (pow x 2) (+ 3/8 (* -39/128 (pow x 2))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (* (pow x 2) (+ 3/8 (* (pow x 2) (- (* 275/1024 (pow x 2)) 39/128))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (* (pow x 2) (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 275/1024 (* -8043/32768 (pow x 2)))) 39/128))))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 1))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ 1 (* -3/8 (pow x 2)))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 39/128 (pow x 2)) 3/8)))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 39/128 (* -275/1024 (pow x 2)))) 3/8)))))
#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))
#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 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 2 (* (sqrt 1/2) (sqrt 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 (+ 2 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4))))))
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#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 2 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (- (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ 3/16 (+ (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* (pow x 2) (- (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) 5/32)))))) 1/4))))))
#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4))))))
#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (- (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))) 1/4))))))
#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (- (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ 3/16 (+ (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* (pow x 2) (- (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) 5/32)))))) 1/4))))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1/2 (/ 1/2 x)) #s(hole binary64 (/ -1/2 x)))
#s(approx (- 1/2 (/ 1/2 x)) #s(hole binary64 (/ (- (* 1/2 x) 1/2) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 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 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 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))) 1/2) #s(hole binary64 1/2))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (/ (- 1 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))))))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ (* (sqrt 1/2) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 3) (+ 3/2 (sqrt 1/2))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (* (pow x 3) (+ 3/2 (sqrt 1/2)))) (/ (* (- 1 (sqrt 1/8)) (- (* -3/16 (sqrt 1/2)) 1/4)) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))))))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- 1 (sqrt 1/8))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- 1 (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8))))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- (+ 1 (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8))))) (+ (sqrt 1/8) (/ 3/16 (* x (sqrt 1/8)))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- (+ 1 (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (sqrt 1/8))))) (+ (sqrt 1/8) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8))))))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (sqrt 1/8)))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ (sqrt 1/8) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8)))))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ (sqrt 1/8) (+ (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (sqrt 1/8)))) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8))))))))
#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 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 3/2 (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 (+ 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x)))))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 3/2 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))))))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (- (+ 3/2 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))))))) (* 1/4 (/ 1 (pow x 3))))))
#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1/2 (sqrt 1/2))))
#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1/2 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))))))))
#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (- (+ 1/2 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))))))) (* 1/4 (/ 1 (pow x 3))))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (sqrt 1/2)))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) 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 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (- 1/2 (/ 1/2 x)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ (* -1/4 (* x x)) 1) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (+ (* -1/4 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #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 (sqrt (+ (* x x) 1))) 1/2)))) #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 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 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 (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 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))) 1/2) #s(hole binary64 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (- (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ 1 (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (- (+ (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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 (/ (- (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (+ (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (+ 3/2 (sqrt 1/2))) (/ (* (- 1 (sqrt 1/8)) (- (* -3/16 (sqrt 1/2)) 1/4)) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- (+ 1 (* 3/16 (/ 1 (* x (sqrt 1/8))))) (sqrt 1/8))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (- (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))))
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#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ (sqrt 1/8) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) 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 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (* 1/2 (sqrt 1/2))) x))))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2)))) x))))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1 (/ (- (* -3/16 (sqrt 1/2)) 1/4) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2)))) x))))))
#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (* 1/2 (sqrt 1/2))) x))))))
#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2)))) x))))))
#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1 (/ (- (* -3/16 (sqrt 1/2)) 1/4) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2)))) x))))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #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 (sqrt (+ (* x x) 1))) 1/2)))) #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 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 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 (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 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))) 1/2) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))))

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

eval68.0ms (1.3%)

Memory: 9.0MiB live, 62.5MiB allocated; 15ms collecting garbage
Compiler: Compiled 7 584 to 2 279 computations (69.9% saved)

prune17.0ms (0.3%)

Memory

-10.8MiB live, 35.0MiB allocated; 2ms collecting garbage

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	322	11	333
Fresh	4	3	7
Picked	3	2	5
Done	0	0	0
Total	329	16	345

Accuracy

100.0%

Counts

345 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.2%	(/.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))) #s(approx (+ 1 (+ ( (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/2 binary64))))
▶	77.9%	(/.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)))))
	50.9%	(/.f64 #s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 #s(literal 3/16 binary64) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))) (+.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)))))))
	77.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
✓	48.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
▶	50.5%	(-.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)))))
▶	50.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	29.1%	(-.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
	51.3%	#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
	50.6%	#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (.f64 (.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3/8 binary64)))
▶	29.0%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
	49.6%	#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)))
▶	51.0%	#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)))
	49.3%	#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)))
	50.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
✓	27.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 681 to 587 computations (13.8% saved)

series20.0ms (0.4%)

Memory

-13.5MiB live, 31.8MiB allocated; 4ms collecting garbage

Counts

33 → 119

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) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (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)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal 1/4 binary64)
#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)))
(.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))
(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))
(fma.f64 #s(literal 69/1024 binary64) (*.f64 x x) #s(literal -11/128 binary64))
#s(literal 69/1024 binary64)
#s(literal -11/128 binary64)
#s(literal 1/8 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 (* 1/4 (/ (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt 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 (* (pow x 2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 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) (+ (* (pow x 2) (- (* (pow x 2) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 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) (+ (* (pow x 2) (- (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/4 (/ (* (sqrt 1/2) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/8 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 35/256 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))) (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))
#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 (+ 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#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 (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (* (* x x) 1/2) 1/4) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2)))))
#s(approx (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* -11/128 (pow x 2)))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))))
#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 -11/128))
#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 (- (* 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 (/ 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 (/ (+ (* 1/4 (/ (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 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/2) (* x (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)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (pow x 2) (+ 1 (sqrt 1/2))))) (+ (* -3/32 (/ (sqrt 1/2) (* (pow x 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -1/16 (/ (sqrt 1/2) (* (pow x 2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/2) (* x (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) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))))
#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) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) 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 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (+ (* (* (* x x) 1/2) 1/4) 1) #s(hole binary64 (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 69/1024 (pow x 6))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (* 69/1024 (pow x 4))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 (* 69/1024 (pow x 2))))
#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 (* (pow x 2) (- 69/1024 (* 11/128 (/ 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 (+ (* 1/4 (/ (sqrt 1/2) (* x (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 (/ (- (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* x (+ 1 (sqrt 1/2))))) (* -1/16 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/4 (/ (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)))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (+ (* -3/32 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2))))))) x)) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (+ (* 1/4 (/ (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) (* -1/2 (/ (sqrt 1/2) x))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x))))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	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))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (+ (* (* (* x x) 1/2) 1/4) 1) (* (* x x) 1/2) (* x x) 1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (+ (* 69/1024 (* x x)) -11/128) 69/1024 -11/128 1/8)
5.0ms	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))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (+ (* (* (* x x) 1/2) 1/4) 1) (* (* x x) 1/2) (* x x) 1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (+ (* 69/1024 (* x x)) -11/128) 69/1024 -11/128 1/8)
3.0ms	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))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (+ (* (* (* x x) 1/2) 1/4) 1) (* (* x x) 1/2) (* x x) 1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (+ (* 69/1024 (* x x)) -11/128) 69/1024 -11/128 1/8)

Time

Variable

Point

Expression

6.0ms

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))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (+ (* (* (* x x) 1/2) 1/4) 1) (* (* x x) 1/2) (* x x) 1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (+ (* 69/1024 (* x x)) -11/128) 69/1024 -11/128 1/8)

5.0ms

((/ (- 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))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (+ (* (* (* x x) 1/2) 1/4) 1) (* (* x x) 1/2) (* x x) 1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (+ (* 69/1024 (* x x)) -11/128) 69/1024 -11/128 1/8)

3.0ms

-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))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (+ (* (* (* x x) 1/2) 1/4) 1) (* (* x x) 1/2) (* x x) 1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (+ (* 69/1024 (* x x)) -11/128) 69/1024 -11/128 1/8)

rewrite264.0ms (5.3%)

Memory

9.8MiB live, 147.9MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	606	4720
0	648	3351
1	4974	3327

Stop Event

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

Counts

152 → 54

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) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (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)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal 1/4 binary64)
#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)))
(.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))
(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))
(fma.f64 #s(literal 69/1024 binary64) (*.f64 x x) #s(literal -11/128 binary64))
#s(literal 69/1024 binary64)
#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)))) #s(hole binary64 (* 1/4 (/ (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt 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 (* (pow x 2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 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) (+ (* (pow x 2) (- (* (pow x 2) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 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) (+ (* (pow x 2) (- (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/4 (/ (* (sqrt 1/2) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/8 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 35/256 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))) (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))
#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 (+ 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#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 (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (* (* x x) 1/2) 1/4) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2)))))
#s(approx (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* -11/128 (pow x 2)))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))))
#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 -11/128))
#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 (- (* 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 (/ 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 (/ (+ (* 1/4 (/ (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 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/2) (* x (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)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (pow x 2) (+ 1 (sqrt 1/2))))) (+ (* -3/32 (/ (sqrt 1/2) (* (pow x 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -1/16 (/ (sqrt 1/2) (* (pow x 2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/2) (* x (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) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))))
#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) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) 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 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (+ (* (* (* x x) 1/2) 1/4) 1) #s(hole binary64 (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 69/1024 (pow x 6))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (* 69/1024 (pow x 4))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 (* 69/1024 (pow x 2))))
#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 (* (pow x 2) (- 69/1024 (* 11/128 (/ 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 (+ (* 1/4 (/ (sqrt 1/2) (* x (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 (/ (- (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* x (+ 1 (sqrt 1/2))))) (* -1/16 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/4 (/ (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)))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (+ (* -3/32 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2))))))) x)) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (+ (* 1/4 (/ (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) (* -1/2 (/ (sqrt 1/2) x))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x))))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.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) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (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)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal 1/4 binary64)
#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)))
(.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))
(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))
(fma.f64 #s(literal 69/1024 binary64) (*.f64 x x) #s(literal -11/128 binary64))
#s(literal 69/1024 binary64)
#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 (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 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(literal 2 binary64))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(literal 2 binary64))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(literal 1 binary64))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (+ (/ 1/2 x) 1/2) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (* (* x x) 1/2) 1/4) 1) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (* (* x x) 1/2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* 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 (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(literal 1/8 binary64))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (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)))
#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(literal -11/128 binary64))
#s(approx (+ (* 69/1024 (* x x)) -11/128) (fma.f64 #s(literal 69/1024 binary64) (*.f64 x x) #s(literal -11/128 binary64)))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #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 (+ (* (* (* x x) 1/2) 1/4) 1) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))

eval2.0ms (0%)

Memory: 4.8MiB live, 4.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 307 to 145 computations (52.8% saved)

prune8.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	2	7	9
Picked	0	5	5
Done	0	2	2
Total	21	16	37

Accuracy

100.0%

Counts

37 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.2%	(/.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))) #s(approx (+ 1 (+ ( (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/2 binary64))))
✓	77.9%	(/.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)))))
	50.9%	(/.f64 #s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 #s(literal 3/16 binary64) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))) (+.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)))))))
▶	77.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
✓	48.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
✓	50.5%	(-.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)))))
✓	50.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	29.1%	(-.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
	51.3%	#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
	50.6%	#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (.f64 (.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3/8 binary64)))
✓	29.0%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
	49.6%	#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)))
✓	51.0%	#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)))
▶	49.3%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 #s(approx (+ ( 69/1024 (* x x)) -11/128) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
▶	50.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 #s(approx (+ ( (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
✓	27.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 622 to 529 computations (15% saved)

series15.0ms (0.3%)

Memory

25.4MiB live, 25.4MiB allocated; 0ms collecting garbage

Counts

36 → 160

Calls

Call 1

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

Outputs
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 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 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 1/2))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#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 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* -11/128 (pow x 2)))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 -11/128))
#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 (- (* 69/1024 (pow x 2)) 11/128)))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (* 3/8 (/ (pow x 2) (+ 2 (* (sqrt 1/2) (sqrt 2)))))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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 (* (pow x 2) (+ (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 3/8 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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) (+ (* (pow x 2) (- (* (pow x 2) (- (* 275/1024 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* -1 (/ (* (+ (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 3/8 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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) (+ (* (pow x 2) (- (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (+ (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))))) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* 8043/32768 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* 3/8 (/ (- (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) 5/32) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (/ (* (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (- (* 275/1024 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* -1 (/ (* (+ (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ 2 (* (sqrt 1/2) (sqrt 2))))))))) (* 275/1024 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1 (/ (* (+ (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 3/8 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (* 3/8 (pow x 2))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (* (pow x 2) (+ 3/8 (* -39/128 (pow x 2))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (* (pow x 2) (+ 3/8 (* (pow x 2) (- (* 275/1024 (pow x 2)) 39/128))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (* (pow x 2) (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 275/1024 (* -8043/32768 (pow x 2)))) 39/128))))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ 1 (* -3/8 (pow x 2)))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 39/128 (pow x 2)) 3/8)))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 39/128 (* -275/1024 (pow x 2)))) 3/8)))))
#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 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 2 (* (sqrt 1/2) (sqrt 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 (+ 2 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4))))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 2 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (- (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))) 1/4))))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 2 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (- (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ 3/16 (+ (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* (pow x 2) (- (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) 5/32)))))) 1/4))))))
#s(approx (+ (+ (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (sqrt 1/2)) 3/2) #s(hole binary64 (/ (+ 1/2 (* 1/2 (sqrt 1/2))) x)))
#s(approx (+ (+ (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (sqrt 1/2)) 3/2) #s(hole binary64 (/ (+ 1/2 (+ (* 1/2 (sqrt 1/2)) (* x (+ 3/2 (sqrt 1/2))))) x)))
#s(approx (+ (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (sqrt 1/2)) #s(hole binary64 (/ (+ 1/2 (+ (* 1/2 (sqrt 1/2)) (* x (sqrt 1/2)))) x)))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #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 (sqrt (+ (* x x) 1))) 1/2))) #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 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 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 (+ (/ 1/2 (sqrt (+ (* x x) 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 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 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 (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 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 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 69/1024 (pow x 6))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))))
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#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (* 69/1024 (pow x 4))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#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 (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 (* 69/1024 (pow x 2))))
#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 (* (pow x 2) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (/ (- 1 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))
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#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- 1 (sqrt 1/8))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- 1 (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8))))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- (+ 1 (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8))))) (+ (sqrt 1/8) (/ 3/16 (* x (sqrt 1/8)))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- (+ 1 (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (sqrt 1/8))))) (+ (sqrt 1/8) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8))))))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (sqrt 1/8)))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ (sqrt 1/8) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8)))))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ (sqrt 1/8) (+ (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (sqrt 1/8)))) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8))))))))
#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 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 3/2 (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 (+ 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x)))))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 3/2 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))))))))
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#s(approx (+ (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #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 (sqrt (+ (* x x) 1))) 1/2))) #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 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 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 (+ (/ 1/2 (sqrt (+ (* x x) 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 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 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 (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 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 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (- (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ 1 (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))
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#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (- (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ (sqrt 1/8) (* -1 (/ (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x)))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ (sqrt 1/8) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) 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 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (* 1/2 (sqrt 1/2))) x))))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2)))) x))))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1 (/ (- (* -3/16 (sqrt 1/2)) 1/4) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2)))) x))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) 1/8 (* x x) (- 1 (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+ (* -1/8 (* x x)) 1) -1/8 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (+ (* 69/1024 (* x x)) -11/128) -11/128 (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) 3/2 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+ (+ (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (sqrt 1/2)) 3/2) (+ (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (sqrt 1/2)) (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (+ (* (sqrt 1/2) 1/2) 1/2) (sqrt 1/2))
3.0ms	x	@	inf	((- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) 1/8 (* x x) (- 1 (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+ (* -1/8 (* x x)) 1) -1/8 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (+ (* 69/1024 (* x x)) -11/128) -11/128 (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) 3/2 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+ (+ (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (sqrt 1/2)) 3/2) (+ (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (sqrt 1/2)) (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (+ (* (sqrt 1/2) 1/2) 1/2) (sqrt 1/2))
3.0ms	x	@	-inf	((- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) 1/8 (* x x) (- 1 (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+ (* -1/8 (* x x)) 1) -1/8 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (+ (* 69/1024 (* x x)) -11/128) -11/128 (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) 3/2 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+ (+ (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (sqrt 1/2)) 3/2) (+ (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (sqrt 1/2)) (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (+ (* (sqrt 1/2) 1/2) 1/2) (sqrt 1/2))

Time

Variable

Point

Expression

3.0ms

((- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) 1/8 (* x x) (- 1 (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+ (* -1/8 (* x x)) 1) -1/8 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (+ (* 69/1024 (* x x)) -11/128) -11/128 (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) 3/2 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+ (+ (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (sqrt 1/2)) 3/2) (+ (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (sqrt 1/2)) (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (+ (* (sqrt 1/2) 1/2) 1/2) (sqrt 1/2))

3.0ms

inf

((- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) 1/8 (* x x) (- 1 (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+ (* -1/8 (* x x)) 1) -1/8 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (+ (* 69/1024 (* x x)) -11/128) -11/128 (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) 3/2 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+ (+ (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (sqrt 1/2)) 3/2) (+ (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (sqrt 1/2)) (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (+ (* (sqrt 1/2) 1/2) 1/2) (sqrt 1/2))

3.0ms

-inf

((- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) 1/8 (* x x) (- 1 (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+ (* -1/8 (* x x)) 1) -1/8 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (+ (* 69/1024 (* x x)) -11/128) -11/128 (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) 3/2 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+ (+ (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (sqrt 1/2)) 3/2) (+ (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (sqrt 1/2)) (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (+ (* (sqrt 1/2) 1/2) 1/2) (sqrt 1/2))

rewrite318.0ms (6.3%)

Memory

20.8MiB live, 288.2MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	895	7162
0	937	5152
1	7783	5152
0	8563	4830
1	21264	4830

Stop Event

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

Counts

196 → 347

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 #s(approx (+ ( (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
(.f64 #s(approx (+ ( (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(*.f64 x x)
(-.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (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)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 #s(approx (+ ( 69/1024 (* x x)) -11/128) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(.f64 (fma.f64 #s(approx (+ ( 69/1024 (* x x)) -11/128) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
(fma.f64 #s(approx (+ (* 69/1024 (* x x)) -11/128) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(literal -11/128 binary64))
#s(literal -11/128 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))) #s(approx (+ 1 (+ ( (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/2 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 3/2 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 3/2 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))))
#s(literal 3/2 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 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(+.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/2 binary64))
(+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 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 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 1/2))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#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 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* -11/128 (pow x 2)))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
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#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 -11/128))
#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 (- (* 69/1024 (pow x 2)) 11/128)))
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#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (* (pow x 2) (+ 3/8 (* -39/128 (pow x 2))))))
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#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ 1 (* -3/8 (pow x 2)))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 39/128 (pow x 2)) 3/8)))))
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#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)))))
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#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 2 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4))))))
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#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 2 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (- (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ 3/16 (+ (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* (pow x 2) (- (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) 5/32)))))) 1/4))))))
#s(approx (+ (+ (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (sqrt 1/2)) 3/2) #s(hole binary64 (/ (+ 1/2 (* 1/2 (sqrt 1/2))) x)))
#s(approx (+ (+ (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (sqrt 1/2)) 3/2) #s(hole binary64 (/ (+ 1/2 (+ (* 1/2 (sqrt 1/2)) (* x (+ 3/2 (sqrt 1/2))))) x)))
#s(approx (+ (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (sqrt 1/2)) #s(hole binary64 (/ (+ 1/2 (+ (* 1/2 (sqrt 1/2)) (* x (sqrt 1/2)))) x)))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #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 (sqrt (+ (* x x) 1))) 1/2))) #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 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 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 (+ (/ 1/2 (sqrt (+ (* x x) 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 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 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 (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 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 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 69/1024 (pow x 6))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (* 69/1024 (pow x 4))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#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 (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 (* 69/1024 (pow x 2))))
#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 (* (pow x 2) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (/ (- 1 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))
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#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- 1 (sqrt 1/8))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- 1 (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8))))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- (+ 1 (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8))))) (+ (sqrt 1/8) (/ 3/16 (* x (sqrt 1/8)))))))
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#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (sqrt 1/8)))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ (sqrt 1/8) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8)))))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ (sqrt 1/8) (+ (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (sqrt 1/8)))) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8))))))))
#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 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 3/2 (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 (+ 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x)))))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 3/2 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))))))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (- (+ 3/2 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))))))) (* 1/4 (/ 1 (pow x 3))))))
#s(approx (+ (/ (+ (* (sqrt 1/2) 1/2) 1/2) x) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #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 (sqrt (+ (* x x) 1))) 1/2))) #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 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 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 (+ (/ 1/2 (sqrt (+ (* x x) 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 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 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 (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 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 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (- (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ 1 (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (- (+ (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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 (/ (- (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (+ (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (+ 3/2 (sqrt 1/2))) (/ (* (- 1 (sqrt 1/8)) (- (* -3/16 (sqrt 1/2)) 1/4)) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- (+ 1 (* 3/16 (/ 1 (* x (sqrt 1/8))))) (sqrt 1/8))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (- (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ (sqrt 1/8) (* -1 (/ (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x)))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) #s(hole binary64 (+ (sqrt 1/8) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) 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 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (* 1/2 (sqrt 1/2))) x))))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2)))) x))))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1 (/ (- (* -3/16 (sqrt 1/2)) 1/4) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2)))) x))))))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))))
(neg.f64 (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))
(fabs.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #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)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 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) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (exp.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x)))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
x
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (.f64 #s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(literal 1/8 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)
(.f64 (.f64 x x) #s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(literal 1/8 binary64)))
(.f64 #s(approx (+ ( (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(*.f64 (fabs.f64 x) (fabs.f64 x))
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#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 (neg.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (-.f64 (+.f64 (fma.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 3/16 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -3/64 binary64) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 3/16 binary64) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))))) x)) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 3/16 binary64) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))))) x)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 13/128 binary64) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 3/16 binary64) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) #s(literal 1/8 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 (fma.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal -3/64 binary64) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 3/16 binary64) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))))) x)) (/.f64 #s(literal -3/64 binary64) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 3/16 binary64) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))))) x)) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 3/16 binary64) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))))) x)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/64 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -13/128 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (/.f64 #s(literal 3/64 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) x)) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) (-.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/64 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) x)) (sqrt.f64 #s(literal 1/8 binary64))))
#s(approx (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 13/128 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (/.f64 #s(literal 3/64 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) x)) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) x)) (sqrt.f64 #s(literal 1/8 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 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #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))) (/.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 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x 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 (neg.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/2 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 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/2 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 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) x))) x))) #s(literal 1/2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))

eval73.0ms (1.5%)

Memory: -87.1MiB live, 104.9MiB allocated; 56ms collecting garbage
Compiler: Compiled 5 584 to 2 050 computations (63.3% saved)

prune17.0ms (0.3%)

Memory

29.0MiB live, 29.0MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	349	6	355
Fresh	2	2	4
Picked	2	3	5
Done	2	5	7
Total	355	16	371

Accuracy

100.0%

Counts

371 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.9%	(/.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)))))
	51.3%	(/.f64 #s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 #s(literal 3/16 binary64) (.f64 (sqrt.f64 #s(literal 1/8 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 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/2 binary64))))
	77.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
	50.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
✓	48.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
✓	50.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
✓	29.1%	(-.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
	51.3%	#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
	50.6%	#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (.f64 (.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3/8 binary64)))
	49.6%	#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 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)))
	51.0%	#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 69/1024 binary64) x) x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)) x) x))
✓	29.0%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	49.3%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (fma.f64 #s(approx (+ ( 69/1024 (* x x)) -11/128) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
	49.3%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (.f64 #s(approx (+ ( 69/1024 (* x x)) -11/128) #s(literal -11/128 binary64)) x) x #s(literal 1/8 binary64)) x) x))
✓	50.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 #s(approx (+ ( (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
✓	27.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 854 to 511 computations (40.2% saved)

regimes156.0ms (3.1%)

Memory

-29.5MiB live, 68.2MiB allocated; 9ms collecting garbage

Counts

32 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 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 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 #s(approx (+ ( (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (.f64 (.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) 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)))))
(-.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (.f64 #s(approx (+ ( 69/1024 (* x x)) -11/128) #s(literal -11/128 binary64)) x) x #s(literal 1/8 binary64)) x) x))
#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 #s(approx (+ ( 69/1024 (* x x)) -11/128) #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 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 69/1024 binary64) x) x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)) 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)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) 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 (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 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)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 #s(literal 3/16 binary64) (.f64 (sqrt.f64 #s(literal 1/8 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 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/2 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))) #s(approx (+ 1 (+ ( (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/2 binary64))))
(/.f64 #s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 #s(literal 3/16 binary64) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))) (+.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) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.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)))) #s(literal 3 binary64))) (+.f64 #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 #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))))))))

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) (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)))))))

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) (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)))))))

Calls

7 calls:

63.0ms	(hypot.f64 #s(literal 1 binary64) x)
60.0ms	x
7.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) 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 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
100.0%	2	`(hypot.f64 #s(literal 1 binary64) x)`
100.0%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
100.0%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
100.0%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
100.0%	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)))))`
100.0%	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))))))`
100.0%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes97.0ms (1.9%)

Memory

17.3MiB live, 61.6MiB allocated; 5ms collecting garbage

Counts

30 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 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 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 #s(approx (+ ( (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (.f64 (.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) 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)))))
(-.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (.f64 #s(approx (+ ( 69/1024 (* x x)) -11/128) #s(literal -11/128 binary64)) x) x #s(literal 1/8 binary64)) x) x))
#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 #s(approx (+ ( 69/1024 (* x x)) -11/128) #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 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 69/1024 binary64) x) x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)) 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)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) 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 (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 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)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 #s(literal 3/16 binary64) (.f64 (sqrt.f64 #s(literal 1/8 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 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/2 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))) #s(approx (+ 1 (+ ( (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/2 binary64))))
(/.f64 #s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 #s(literal 3/16 binary64) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))) (+.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)))))))

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) (sqrt.f64 (.f64 (+.f64 (/.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 (* 1/2 (+ 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) (sqrt.f64 (*.f64 (+.f64 (/.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:

59.0ms	(+.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	(hypot.f64 #s(literal 1 binary64) 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)))))

Results

Accuracy	Segments	Branch
100.0%	2	`(hypot.f64 #s(literal 1 binary64) x)`
100.0%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
100.0%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
100.0%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
100.0%	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)))))`
100.0%	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))))))`
100.0%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes96.0ms (1.9%)

Memory

-9.5MiB live, 80.5MiB allocated; 8ms collecting garbage

Counts

27 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 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 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 #s(approx (+ ( (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (.f64 (.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) 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)))))
(-.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (.f64 #s(approx (+ ( 69/1024 (* x x)) -11/128) #s(literal -11/128 binary64)) x) x #s(literal 1/8 binary64)) x) x))
#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 #s(approx (+ ( 69/1024 (* x x)) -11/128) #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 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 69/1024 binary64) x) x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)) 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)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) 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 (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 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)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 #s(literal 3/16 binary64) (.f64 (sqrt.f64 #s(literal 1/8 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 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/2 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 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))

Calls

7 calls:

57.0ms	(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)))))
9.0ms	(hypot.f64 #s(literal 1 binary64) x)
7.0ms	x
6.0ms	(/.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
99.2%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.2%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.2%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.2%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.2%	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)))))`
99.2%	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))))))`
99.2%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes41.0ms (0.8%)

Memory

30.0MiB live, 82.0MiB allocated; 8ms collecting garbage

Counts

23 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 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 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 #s(approx (+ ( (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (.f64 (.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) 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)))))
(-.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (.f64 #s(approx (+ ( 69/1024 (* x x)) -11/128) #s(literal -11/128 binary64)) x) x #s(literal 1/8 binary64)) x) x))
#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 #s(approx (+ ( 69/1024 (* x x)) -11/128) #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 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 69/1024 binary64) x) x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)) 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)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Outputs

#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)))

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

Calls

7 calls:

10.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
6.0ms	x
6.0ms	(/.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
99.2%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.2%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.2%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.2%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.2%	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)))))`
99.2%	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))))))`
99.2%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes34.0ms (0.7%)

Memory

-22.8MiB live, 69.4MiB allocated; 5ms collecting garbage

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 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 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 #s(approx (+ ( (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (.f64 (.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) 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)))))
(-.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (.f64 #s(approx (+ ( 69/1024 (* x x)) -11/128) #s(literal -11/128 binary64)) x) x #s(literal 1/8 binary64)) x) x))
#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 #s(approx (+ ( 69/1024 (* x x)) -11/128) #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 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 69/1024 binary64) x) x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)) x) x))

Outputs

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

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

Calls

7 calls:

7.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
7.0ms	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))))))
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
99.2%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.2%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.2%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.2%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.2%	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)))))`
99.2%	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))))))`
99.2%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes32.0ms (0.6%)

Memory

21.0MiB live, 66.6MiB allocated; 4ms collecting garbage

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 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 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 #s(approx (+ ( (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (.f64 (.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) 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)))))
(-.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (.f64 #s(approx (+ ( 69/1024 (* x x)) -11/128) #s(literal -11/128 binary64)) x) x #s(literal 1/8 binary64)) x) x))
#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 #s(approx (+ ( 69/1024 (* x x)) -11/128) #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 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 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 (/.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 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))

Calls

7 calls:

6.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
5.0ms	x
5.0ms	(/.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
98.9%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.9%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.9%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.9%	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)))))`
98.9%	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))))))`
98.9%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes28.0ms (0.6%)

Memory

-5.0MiB live, 48.5MiB allocated; 4ms collecting garbage

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 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 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 #s(approx (+ ( (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (.f64 (.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) 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)))))
(-.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (.f64 #s(approx (+ ( 69/1024 (* x x)) -11/128) #s(literal -11/128 binary64)) x) x #s(literal 1/8 binary64)) x) x))
#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 #s(approx (+ ( 69/1024 (* x x)) -11/128) #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 (sqrt (+ (* x x) 1))) 1/2) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))))

Calls

7 calls:

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))))))
4.0ms	x
4.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms	(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
98.2%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.2%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.2%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.2%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.2%	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)))))`
98.2%	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))))))`
98.2%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes76.0ms (1.5%)

Memory

-10.1MiB live, 36.8MiB allocated; 2ms collecting garbage

Counts

14 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 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 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 #s(approx (+ ( (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (.f64 (.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) 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)))))
(-.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (.f64 #s(approx (+ ( 69/1024 (* x x)) -11/128) #s(literal -11/128 binary64)) x) x #s(literal 1/8 binary64)) x) x))

Outputs

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

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

Calls

7 calls:

55.0ms	(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)))))
4.0ms	x
4.0ms	(/.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 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
98.2%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.2%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.2%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.2%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.2%	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)))))`
98.2%	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))))))`
98.2%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes77.0ms (1.5%)

Memory

-8.8MiB live, 38.2MiB allocated; 2ms collecting garbage

Counts

13 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 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 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 #s(approx (+ ( (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (.f64 (.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) 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)))))
(-.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 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 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))

Outputs

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

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

Calls

7 calls:

58.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
4.0ms	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	(*.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
97.8%	2	`(hypot.f64 #s(literal 1 binary64) x)`
97.8%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
97.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
97.8%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
97.8%	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)))))`
97.8%	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))))))`
97.8%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes13.0ms (0.3%)

Memory

28.9MiB live, 28.9MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 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 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 #s(approx (+ ( (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (.f64 (.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))

Outputs

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

Calls

7 calls:

2.0ms	x
2.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms	(hypot.f64 #s(literal 1 binary64) x)
2.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
2.0ms	(*.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
96.9%	2	`(hypot.f64 #s(literal 1 binary64) x)`
96.9%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
96.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
96.9%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
96.9%	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)))))`
96.9%	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))))))`
96.9%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes11.0ms (0.2%)

Memory

-24.5MiB live, 20.0MiB allocated; 4ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 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

#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 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:

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

Results

Accuracy	Segments	Branch
74.7%	2	`(hypot.f64 #s(literal 1 binary64) x)`
74.7%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
74.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
74.7%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
74.7%	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)))))`
74.7%	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))))))`
74.9%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes6.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 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	(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
27.7%	1	`(hypot.f64 #s(literal 1 binary64) x)`
27.7%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
27.7%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
27.7%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
27.7%	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)))))`
27.7%	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))))))`
27.7%	1	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch43.0ms (0.8%)

Memory

-31.3MiB live, 19.8MiB allocated; 17ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.006835666857141328	3.94094271630003

Samples

5.0ms	96×	0	valid
4.0ms	32×	1	valid

Compiler

Compiled 420 to 333 computations (20.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-hypot: 3.0ms (45.6% of total)

adjust: 1.0ms (15.2% of total)

ival-div!: 1.0ms (15.2% of total)

ival-sqrt: 1.0ms (15.2% of total)

ival-mult!: 1.0ms (15.2% of total)

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

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

bsearch9.0ms (0.2%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.006835666857141328	3.94094271630003

Samples

3.0ms	48×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 356 to 301 computations (15.4% saved)

Precisions

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

ival-hypot: 1.0ms (30.4% of total)

ival-sqrt: 1.0ms (30.4% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

bsearch5.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.006835666857141328	3.94094271630003

Samples

2.0ms

32×

valid

Compiler

Compiled 300 to 285 computations (5% saved)

Precisions

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

ival-hypot: 1.0ms (85.4% 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)

bsearch11.0ms (0.2%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.006835666857141328	3.94094271630003

Samples

4.0ms	32×	1	valid
3.0ms	48×	0	valid

Compiler

Compiled 276 to 269 computations (2.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-hypot: 2.0ms (42.7% of total)

adjust: 1.0ms (21.4% of total)

ival-div!: 1.0ms (21.4% of total)

ival-sqrt: 1.0ms (21.4% of total)

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

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

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

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.006835666857141328	3.94094271630003

Compiler

Compiled 260 to 269 computations (-3.5% saved)

bsearch11.0ms (0.2%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.0018623716034859544	0.003090551587648038

Samples

7.0ms

64×

valid

Compiler

Compiled 136 to 133 computations (2.2% saved)

Precisions

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

ival-hypot: 2.0ms (35.4% of total)

adjust: 1.0ms (17.7% of total)

ival-sqrt: 1.0ms (17.7% of total)

ival-div!: 1.0ms (17.7% of total)

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

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

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

bsearch65.0ms (1.3%)

Memory

-23.1MiB live, 22.6MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
63.0ms	0.006835666857141328	3.94094271630003

Samples

59.0ms

112×

valid

Compiler

Compiled 300 to 301 computations (-0.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-hypot: 54.0ms (95.5% of total)

ival-sqrt: 1.0ms (1.8% of total)

ival-div!: 1.0ms (1.8% of total)

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

adjust: 0.0ms (0% of total)

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

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

bsearch1.0ms (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	0.006835666857141328	3.94094271630003

Compiler

Compiled 348 to 349 computations (-0.3% saved)

bsearch3.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.006835666857141328	3.94094271630003

Samples

1.0ms

16×

valid

Compiler

Compiled 276 to 285 computations (-3.3% saved)

Precisions

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

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

adjust: 0.0ms (0% of total)

ival-hypot: 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)

bsearch7.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.006835666857141328	3.94094271630003

Samples

4.0ms

64×

valid

Compiler

Compiled 268 to 277 computations (-3.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-hypot: 1.0ms (43% 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)

bsearch31.0ms (0.6%)

Memory

7.4MiB live, 50.8MiB allocated; 8ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	1.429988538811816e-79	8.334952119991702e-71

Samples

19.0ms

144×

valid

Compiler

Compiled 281 to 292 computations (-3.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-hypot: 6.0ms (40.4% of total)

adjust: 3.0ms (20.2% of total)

ival-sqrt: 2.0ms (13.5% of total)

ival-add!: 1.0ms (6.7% of total)

ival-sub!: 1.0ms (6.7% of total)

ival-div!: 1.0ms (6.7% of total)

ival-mult!: 1.0ms (6.7% of total)

derivations356.0ms (7.1%)

Memory

-1.1MiB live, 334.9MiB allocated; 26ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 202 to 115 computations (43.1% saved)

preprocess111.0ms (2.2%)

Memory: -21.7MiB live, 214.3MiB allocated; 13ms collecting garbage
Remove: (abs x)
Compiler: Compiled 1 038 to 858 computations (17.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.0s (39.4%)

preprocess212.0ms (4.2%)

series7.0ms (0.1%)

rewrite314.0ms (6.2%)

eval19.0ms (0.4%)

prune14.0ms (0.3%)

series26.0ms (0.5%)

rewrite334.0ms (6.6%)

eval68.0ms (1.3%)

prune17.0ms (0.3%)

series20.0ms (0.4%)

rewrite264.0ms (5.3%)

eval2.0ms (0%)

prune8.0ms (0.2%)

series15.0ms (0.3%)

rewrite318.0ms (6.3%)

eval73.0ms (1.5%)

prune17.0ms (0.3%)

regimes156.0ms (3.1%)

regimes97.0ms (1.9%)

regimes96.0ms (1.9%)

regimes41.0ms (0.8%)

regimes34.0ms (0.7%)

regimes32.0ms (0.6%)

regimes28.0ms (0.6%)

regimes76.0ms (1.5%)

regimes77.0ms (1.5%)

regimes13.0ms (0.3%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch43.0ms (0.8%)

bsearch9.0ms (0.2%)

bsearch5.0ms (0.1%)

bsearch11.0ms (0.2%)

bsearch1.0ms (0%)

bsearch11.0ms (0.2%)

bsearch65.0ms (1.3%)

bsearch1.0ms (0%)

bsearch3.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch31.0ms (0.6%)

derivations356.0ms (7.1%)

preprocess111.0ms (2.2%)

end0.0ms (0%)

Profiling