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

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

sample1.8s (44.8%)

Memory

57.0MiB live, 1 674.7MiB allocated; 1.0s collecting garbage

Samples

1.0s	2 906×	2	valid
289.0ms	4 159×	0	valid
171.0ms	1 191×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-hypot: 406.0ms (32.3% of total)

ival-div!: 373.0ms (29.6% of total)

adjust: 196.0ms (15.6% of total)

ival-sqrt: 129.0ms (10.3% of total)

ival-mult!: 70.0ms (5.6% of total)

ival-sub!: 44.0ms (3.5% of total)

ival-add!: 41.0ms (3.3% of total)

Bogosity

preprocess127.0ms (3.2%)

Memory

-4.1MiB live, 39.5MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	31
1	80	31
2	199	31
3	594	31
4	4850	31

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.5%	(-.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 (0.2%)

Memory

10.2MiB live, 10.2MiB 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)

rewrite237.0ms (5.9%)

Memory

32.7MiB live, 251.6MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	312	1674
0	322	1347
1	1993	1314
0	10168	1269

Stop Event

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

Counts

74 → 145

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 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
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(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))
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(pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
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(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.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)))))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal -2 binary64)))
(/.f64 (.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)))))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (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 (/.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))))))) #s(literal -2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (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 (/.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))))))) #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (-.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 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -3 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
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(+.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)
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(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
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(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (/.f64 (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (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))))
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(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(cos.f64 (neg.f64 (atan.f64 x)))
(cos.f64 (atan.f64 (fabs.f64 x)))
(cos.f64 (atan.f64 (neg.f64 x)))
(cos.f64 (atan.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
x
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #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 (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 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 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 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 2 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/16 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/16 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (/.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))))))

eval21.0ms (0.5%)

Memory: -28.2MiB live, 36.5MiB allocated; 9ms collecting garbage
Compiler: Compiled 2 099 to 805 computations (61.6% saved)

prune10.0ms (0.2%)

Memory

26.9MiB live, 26.9MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	128	13	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	13	142

Accuracy

80.5%

Counts

142 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.2%	(/.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))) (+.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)))))))
	80.2%	(/.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)))))
	79.5%	(-.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)))))
	51.1%	(-.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)))))))
▶	50.1%	(-.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 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)))))))))
	29.9%	(-.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)))))
	48.0%	(-.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)))))
▶	50.1%	(-.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)))))
	50.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	79.5%	(-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
▶	32.1%	(-.f64 #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))))
	32.1%	#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)))
▶	31.0%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 448 to 412 computations (8% saved)

series24.0ms (0.6%)

Memory

-3.0MiB live, 42.9MiB allocated; 4ms collecting garbage

Counts

39 → 133

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

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)))))
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#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)))
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#s(approx (+ (/ 1/2 (* x x)) 1) #s(hole binary64 (/ 1/2 (pow x 2))))
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#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))
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#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))))))
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#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 (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/8))))
#s(approx (* (neg x) (+ (/ 1/2 (* x x)) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (/ 1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (/ 1 (pow x 2))))))
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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))))))
#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))))

Calls

3 calls:

Time	Variable		Point	Expression
9.0ms	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 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* 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)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (* (neg x) (+ (/ 1/2 (* x x)) 1)) (neg x) (+ (/ 1/2 (* x x)) 1) (/ 1/2 (* x x)))
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 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* 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)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (* (neg x) (+ (/ 1/2 (* x x)) 1)) (neg x) (+ (/ 1/2 (* x x)) 1) (/ 1/2 (* x x)))
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 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* 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)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (* (neg x) (+ (/ 1/2 (* x x)) 1)) (neg x) (+ (/ 1/2 (* x x)) 1) (/ 1/2 (* x x)))

Time

Variable

Point

Expression

9.0ms

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

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

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

rewrite257.0ms (6.4%)

Memory

-1.3MiB live, 230.6MiB allocated; 72ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	765	6689
0	811	4601
0	5418	4433

Stop Event

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

Counts

172 → 296

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

eval87.0ms (2.2%)

Memory: -15.7MiB live, 88.3MiB allocated; 19ms collecting garbage
Compiler: Compiled 6 802 to 2 042 computations (70% saved)

prune17.0ms (0.4%)

Memory

-5.7MiB live, 39.8MiB allocated; 4ms collecting garbage

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	258	11	269
Fresh	3	5	8
Picked	3	2	5
Done	0	0	0
Total	264	18	282

Accuracy

100.0%

Counts

282 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.2%	(/.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))))
	52.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 #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)))))))
▶	80.2%	(/.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)))))
▶	50.5%	(/.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)))))))
	50.2%	(/.f64 #s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -8043/32768 binary64) (.f64 x x) #s(literal 275/1024 binary64)) (.f64 x x)) #s(literal 39/128 binary64)) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x 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)))))))
	51.5%	(/.f64 #s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (.f64 (.f64 x x) #s(literal 3/8 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)))))))
	79.5%	(-.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)))))
	48.0%	(-.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)))))
✓	50.1%	(-.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)))))
▶	50.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	79.5%	(-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
	32.1%	(-.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))))
	50.9%	#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))))
	51.6%	#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 (fma.f64 (-.f64 (.f64 (-.f64 #s(literal 121/1536 binary64) (.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
	50.1%	#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 (fma.f64 (neg.f64 (.f64 x x)) #s(literal 11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
	51.5%	#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 3 binary64)) #s(literal 3/8 binary64)))
▶	32.1%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) #s(literal 1 binary64)))
✓	31.0%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 923 to 749 computations (18.9% saved)

series29.0ms (0.7%)

Memory

17.5MiB live, 60.7MiB allocated; 5ms collecting garbage

Counts

37 → 188

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

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)))))
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Calls

3 calls:

Time	Variable		Point	Expression
9.0ms	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)))))))) (- (- 1 (* -1/8 (* x x))) 1) (- 1 (* -1/8 (* x x))) (* -1/8 (* x x)) -1/8 (* x x) (- 1 (exp (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2))) (exp (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2)) (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2) (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (/ (- 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 (sqrt 1/8)) (/ 3/16 (* (sqrt 1/8) x))) (- 1 (sqrt 1/8)) (sqrt 1/8) 1/8 (/ 3/16 (* (sqrt 1/8) x)) 3/16 (* (sqrt 1/8) x) (+ 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))))
7.0ms	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)))))))) (- (- 1 (* -1/8 (* x x))) 1) (- 1 (* -1/8 (* x x))) (* -1/8 (* x x)) -1/8 (* x x) (- 1 (exp (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2))) (exp (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2)) (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2) (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (/ (- 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 (sqrt 1/8)) (/ 3/16 (* (sqrt 1/8) x))) (- 1 (sqrt 1/8)) (sqrt 1/8) 1/8 (/ 3/16 (* (sqrt 1/8) x)) 3/16 (* (sqrt 1/8) x) (+ 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))))
7.0ms	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)))))))) (- (- 1 (* -1/8 (* x x))) 1) (- 1 (* -1/8 (* x x))) (* -1/8 (* x x)) -1/8 (* x x) (- 1 (exp (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2))) (exp (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2)) (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2) (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (/ (- 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 (sqrt 1/8)) (/ 3/16 (* (sqrt 1/8) x))) (- 1 (sqrt 1/8)) (sqrt 1/8) 1/8 (/ 3/16 (* (sqrt 1/8) x)) 3/16 (* (sqrt 1/8) x) (+ 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))))

Time

Variable

Point

Expression

9.0ms

((/ (- 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)))))))) (- (- 1 (* -1/8 (* x x))) 1) (- 1 (* -1/8 (* x x))) (* -1/8 (* x x)) -1/8 (* x x) (- 1 (exp (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2))) (exp (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2)) (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2) (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (/ (- 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 (sqrt 1/8)) (/ 3/16 (* (sqrt 1/8) x))) (- 1 (sqrt 1/8)) (sqrt 1/8) 1/8 (/ 3/16 (* (sqrt 1/8) x)) 3/16 (* (sqrt 1/8) x) (+ 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))))

7.0ms

-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)))))))) (- (- 1 (* -1/8 (* x x))) 1) (- 1 (* -1/8 (* x x))) (* -1/8 (* x x)) -1/8 (* x x) (- 1 (exp (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2))) (exp (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2)) (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2) (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (/ (- 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 (sqrt 1/8)) (/ 3/16 (* (sqrt 1/8) x))) (- 1 (sqrt 1/8)) (sqrt 1/8) 1/8 (/ 3/16 (* (sqrt 1/8) x)) 3/16 (* (sqrt 1/8) x) (+ 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))))

7.0ms

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)))))))) (- (- 1 (* -1/8 (* x x))) 1) (- 1 (* -1/8 (* x x))) (* -1/8 (* x x)) -1/8 (* x x) (- 1 (exp (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2))) (exp (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2)) (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2) (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (/ (- 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 (sqrt 1/8)) (/ 3/16 (* (sqrt 1/8) x))) (- 1 (sqrt 1/8)) (sqrt 1/8) 1/8 (/ 3/16 (* (sqrt 1/8) x)) 3/16 (* (sqrt 1/8) x) (+ 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))))

rewrite170.0ms (4.2%)

Memory

-20.9MiB live, 124.3MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1130	9621
0	1185	9455

Stop Event

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

Counts

225 → 227

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))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) #s(literal 1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x)))
(.f64 #s(literal -1/8 binary64) (.f64 x x))
#s(literal -1/8 binary64)
(*.f64 x x)
(-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(/.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)))))))
#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 (-.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) (sqrt.f64 #s(literal 1/8 binary64)))
(sqrt.f64 #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))
#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))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
#s(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)))))
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#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 2))
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#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
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#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#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))))
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#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 (* -1/8 (* x x))) 1) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (- 1 (* -1/8 (* x x))) #s(hole binary64 (+ 1 (* 1/8 (pow x 2)))))
#s(approx (* -1/8 (* x x)) #s(hole binary64 (* -1/8 (pow x 2))))
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#s(approx (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 5/64 (* (pow x 2) (- (* 93/2048 (pow x 2)) 11/192)))) 1/8))))
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#s(approx (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* (pow x 2) (- (* 93/1024 (pow x 2)) 11/96)))) 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 (* 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 (- (- 1 (sqrt 1/8)) (/ 3/16 (* (sqrt 1/8) x))) #s(hole binary64 (/ -3/16 (* x (sqrt 1/8)))))
#s(approx (- (- 1 (sqrt 1/8)) (/ 3/16 (* (sqrt 1/8) x))) #s(hole binary64 (/ (- (* x (- 1 (sqrt 1/8))) (* 3/16 (/ 1 (sqrt 1/8)))) x)))
#s(approx (/ 3/16 (* (sqrt 1/8) x)) #s(hole binary64 (/ 3/16 (* x (sqrt 1/8)))))
#s(approx (* (sqrt 1/8) x) #s(hole binary64 (* x (sqrt 1/8))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 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)) (* (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 (* (+ (/ 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)))))))
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#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))))))
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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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Outputs
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#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))
(+.f64 (*.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))
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(-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x)))
(.f64 #s(literal -1/8 binary64) (.f64 x x))
#s(literal -1/8 binary64)
(*.f64 x x)
(-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
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(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))
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#s(literal 1/8 binary64)
(/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))
#s(literal 3/16 binary64)
(*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)
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#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64))))))
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#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(literal 1 binary64))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(literal 2 binary64))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
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#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))))))
#s(approx (+ (* x x) 1) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx x x)
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
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#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
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#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 5/16 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 5/16 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (- (- 1 (* -1/8 (* x x))) 1) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (* -1/8 (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* -1/8 (* x x)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- 1 (exp (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (exp (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))))
#s(approx (- 1 (exp (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 69/1024 binary64) (.f64 #s(literal -1843/32768 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 11/128 binary64))))))
#s(approx (exp (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (exp (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 11/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))))
#s(approx (exp (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/128 binary64) (*.f64 #s(literal -69/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64)))))
#s(approx (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))))
#s(approx (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/64 binary64) (*.f64 #s(literal -11/192 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64))))
#s(approx (* (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1/2) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/64 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 93/2048 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/192 binary64))))) #s(literal 1/8 binary64))))
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#s(approx (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))
#s(approx (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/32 binary64) (*.f64 #s(literal -11/96 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
#s(approx (log (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/32 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 93/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/96 binary64))))) #s(literal 1/4 binary64))))
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#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 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 3/16 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 9/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 9/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (-.f64 (.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) x) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 9/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) x)) (fma.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/8 binary64)))))) (sqrt.f64 #s(literal 1/8 binary64))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 9/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (.f64 x (sqrt.f64 #s(literal 1/8 binary64))))) (*.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))))) x))) (sqrt.f64 #s(literal 1/8 binary64))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 3/16 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 9/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (.f64 x (sqrt.f64 #s(literal 1/8 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 9/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/8 binary64))))) x)) (*.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))))) x))) (sqrt.f64 #s(literal 1/8 binary64))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)))))
#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)))))
#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)))))
#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)))))

eval42.0ms (1%)

Memory: 19.3MiB live, 105.8MiB allocated; 12ms collecting garbage
Compiler: Compiled 8 334 to 1 896 computations (77.2% saved)

prune40.0ms (1%)

Memory

-18.9MiB live, 39.0MiB allocated; 9ms collecting garbage

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	287	3	290
Fresh	2	9	11
Picked	1	4	5
Done	0	2	2
Total	290	18	308

Accuracy

100.0%

Counts

308 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 #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)))))))
✓	80.2%	(/.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)))) #s(approx (+ 1 (+ ( (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))))
	50.2%	(/.f64 #s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -8043/32768 binary64) (.f64 x x) #s(literal 275/1024 binary64)) (.f64 x x)) #s(literal 39/128 binary64)) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x 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)))))))
	51.5%	(/.f64 #s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (.f64 (.f64 x x) #s(literal 3/8 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)))))))
	50.6%	(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
▶	79.5%	(-.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)))))
▶	48.0%	(-.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)))))
✓	50.1%	(-.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)))))
✓	50.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
✓	79.5%	(-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
	32.1%	(-.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))))
	51.6%	#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 (fma.f64 (-.f64 (.f64 (-.f64 #s(literal 121/1536 binary64) (.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
▶	50.1%	#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 (fma.f64 (neg.f64 (.f64 x x)) #s(literal 11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
	51.5%	#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 3 binary64)) #s(literal 3/8 binary64)))
▶	50.9%	#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
✓	32.1%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) #s(literal 1 binary64)))
✓	31.0%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 832 to 671 computations (19.4% saved)

series33.0ms (0.8%)

Memory

46.6MiB live, 46.6MiB allocated; 0ms collecting garbage

Counts

42 → 152

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	((- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ 1/2 (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)) (sqrt 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)))))) (- 1/2 (/ 1/2 x)) (/ 1/2 x) (/ (- 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)))))) (* (+ (* (neg (* x x)) 11/128) 1/8) (* x x)) (+ (* (neg (* x x)) 11/128) 1/8) (neg (* x x)) (* x x) 11/128 1/8 (/ (- 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 (sqrt 1/8)) (/ 3/16 (* (sqrt 1/8) x))) (- 1 (sqrt 1/8)) (sqrt 1/8) (/ 3/16 (* (sqrt 1/8) x)) 3/16 (* (sqrt 1/8) x) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+ 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))))) 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x)))) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))) (/ (sqrt 1/2) x) (* 1/2 (/ 1 x)) (/ 1 x))
8.0ms	x	@	-inf	((- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ 1/2 (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)) (sqrt 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)))))) (- 1/2 (/ 1/2 x)) (/ 1/2 x) (/ (- 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)))))) (* (+ (* (neg (* x x)) 11/128) 1/8) (* x x)) (+ (* (neg (* x x)) 11/128) 1/8) (neg (* x x)) (* x x) 11/128 1/8 (/ (- 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 (sqrt 1/8)) (/ 3/16 (* (sqrt 1/8) x))) (- 1 (sqrt 1/8)) (sqrt 1/8) (/ 3/16 (* (sqrt 1/8) x)) 3/16 (* (sqrt 1/8) x) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+ 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))))) 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x)))) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))) (/ (sqrt 1/2) x) (* 1/2 (/ 1 x)) (/ 1 x))
7.0ms	x	@	inf	((- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ 1/2 (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)) (sqrt 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)))))) (- 1/2 (/ 1/2 x)) (/ 1/2 x) (/ (- 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)))))) (* (+ (* (neg (* x x)) 11/128) 1/8) (* x x)) (+ (* (neg (* x x)) 11/128) 1/8) (neg (* x x)) (* x x) 11/128 1/8 (/ (- 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 (sqrt 1/8)) (/ 3/16 (* (sqrt 1/8) x))) (- 1 (sqrt 1/8)) (sqrt 1/8) (/ 3/16 (* (sqrt 1/8) x)) 3/16 (* (sqrt 1/8) x) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+ 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))))) 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x)))) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))) (/ (sqrt 1/2) x) (* 1/2 (/ 1 x)) (/ 1 x))

Time

Variable

Point

Expression

8.0ms

((- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ 1/2 (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)) (sqrt 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)))))) (- 1/2 (/ 1/2 x)) (/ 1/2 x) (/ (- 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)))))) (* (+ (* (neg (* x x)) 11/128) 1/8) (* x x)) (+ (* (neg (* x x)) 11/128) 1/8) (neg (* x x)) (* x x) 11/128 1/8 (/ (- 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 (sqrt 1/8)) (/ 3/16 (* (sqrt 1/8) x))) (- 1 (sqrt 1/8)) (sqrt 1/8) (/ 3/16 (* (sqrt 1/8) x)) 3/16 (* (sqrt 1/8) x) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+ 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))))) 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x)))) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))) (/ (sqrt 1/2) x) (* 1/2 (/ 1 x)) (/ 1 x))

8.0ms

-inf

((- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ 1/2 (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)) (sqrt 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)))))) (- 1/2 (/ 1/2 x)) (/ 1/2 x) (/ (- 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)))))) (* (+ (* (neg (* x x)) 11/128) 1/8) (* x x)) (+ (* (neg (* x x)) 11/128) 1/8) (neg (* x x)) (* x x) 11/128 1/8 (/ (- 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 (sqrt 1/8)) (/ 3/16 (* (sqrt 1/8) x))) (- 1 (sqrt 1/8)) (sqrt 1/8) (/ 3/16 (* (sqrt 1/8) x)) 3/16 (* (sqrt 1/8) x) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+ 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))))) 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x)))) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))) (/ (sqrt 1/2) x) (* 1/2 (/ 1 x)) (/ 1 x))

7.0ms

inf

((- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ 1/2 (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)) (sqrt 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)))))) (- 1/2 (/ 1/2 x)) (/ 1/2 x) (/ (- 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)))))) (* (+ (* (neg (* x x)) 11/128) 1/8) (* x x)) (+ (* (neg (* x x)) 11/128) 1/8) (neg (* x x)) (* x x) 11/128 1/8 (/ (- 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 (sqrt 1/8)) (/ 3/16 (* (sqrt 1/8) x))) (- 1 (sqrt 1/8)) (sqrt 1/8) (/ 3/16 (* (sqrt 1/8) x)) 3/16 (* (sqrt 1/8) x) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+ 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))))) 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x)))) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))) (/ (sqrt 1/2) x) (* 1/2 (/ 1 x)) (/ 1 x))

rewrite153.0ms (3.8%)

Memory

-21.1MiB live, 170.9MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	986	8140
0	1042	7983

Stop Event

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

Counts

194 → 197

Calls

Call 1

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

Outputs
(-.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(literal 1 binary64)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 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))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
x
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #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)
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#s(approx (- 1/2 (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (- 1/2 (/ 1/2 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) 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 #s(literal 3/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 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 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 39/128 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 3/8 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 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 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 275/1024 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (.f64 #s(literal 39/128 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (-.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))) (+.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 3/8 binary64) (/.f64 (+.f64 #s(literal 3/16 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 39/128 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 3/8 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
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#s(approx (+ (* (neg (* x x)) 11/128) 1/8) #s(literal 1/8 binary64))
#s(approx (+ (* (neg (* x x)) 11/128) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (neg (* x x)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (*.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -39/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 275/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 39/128 binary64))))))
#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 275/1024 binary64) (.f64 #s(literal -8043/32768 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 39/128 binary64))))))
#s(approx (- (- 1 (sqrt 1/8)) (/ 3/16 (* (sqrt 1/8) x))) (/.f64 #s(literal -3/16 binary64) (*.f64 x (sqrt.f64 #s(literal 1/8 binary64)))))
#s(approx (- (- 1 (sqrt 1/8)) (/ 3/16 (* (sqrt 1/8) x))) (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))))) x))
#s(approx (/ 3/16 (* (sqrt 1/8) x)) (/.f64 #s(literal 3/16 binary64) (*.f64 x (sqrt.f64 #s(literal 1/8 binary64)))))
#s(approx (* (sqrt 1/8) x) (*.f64 x (sqrt.f64 #s(literal 1/8 binary64))))
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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))))) (+.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))))))
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#s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 1/8 binary64)))))) (sqrt.f64 #s(literal 1/8 binary64))))
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#s(approx (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) x)))

eval24.0ms (0.6%)

Memory: 11.6MiB live, 56.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 583 to 1 221 computations (73.4% saved)

prune20.0ms (0.5%)

Memory

-4.9MiB live, 40.4MiB allocated; 4ms collecting garbage

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	154	2	156
Fresh	1	6	7
Picked	1	4	5
Done	0	6	6
Total	156	18	174

Accuracy

100.0%

Counts

174 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 #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)))))))
✓	80.2%	(/.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)))) #s(approx (+ 1 (+ ( (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+.f64 #s(literal 3/2 binary64) #s(approx (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) x)))))
	50.2%	(/.f64 #s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -8043/32768 binary64) (.f64 x x) #s(literal 275/1024 binary64)) (.f64 x x)) #s(literal 39/128 binary64)) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x 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)))))))
	51.5%	(/.f64 #s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (.f64 (.f64 x x) #s(literal 3/8 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)))))))
	50.6%	(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
✓	79.5%	(-.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)))))
✓	48.0%	(-.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)))))
✓	50.1%	(-.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)))))
✓	50.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
✓	79.5%	(-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
	32.1%	(-.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))))
	51.6%	#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 (fma.f64 (-.f64 (.f64 (-.f64 #s(literal 121/1536 binary64) (.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
✓	50.1%	#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 (fma.f64 (neg.f64 (.f64 x x)) #s(literal 11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
	51.6%	#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 #s(approx (+ ( (neg (* x x)) 11/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
✓	50.9%	#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
✓	32.1%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) #s(literal 1 binary64)))
✓	31.0%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 995 to 604 computations (39.3% saved)

regimes79.0ms (2%)

Memory

-20.7MiB live, 79.4MiB allocated; 9ms 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 (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 #s(approx (+ ( (neg (* x x)) 11/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (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 (.f64 x x) #s(literal 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 (+ 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.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 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #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 (/ (- 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 (fma.f64 (neg.f64 (.f64 x x)) #s(literal 11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(-.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))))))
(-.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 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)))))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
(/.f64 #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 #s(literal 3/2 binary64) #s(approx (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #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(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 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) 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 (fma.f64 (-.f64 (.f64 (-.f64 #s(literal 121/1536 binary64) (.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(/.f64 #s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (.f64 (.f64 x x) #s(literal 3/8 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 (.f64 (+.f64 (/.f64 #s(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 #s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -8043/32768 binary64) (.f64 x x) #s(literal 275/1024 binary64)) (.f64 x x)) #s(literal 39/128 binary64)) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x 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) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 #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 (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 (fma.f64 (-.f64 (.f64 (-.f64 #s(literal 121/1536 binary64) (.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 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 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 #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 (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 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 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 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 #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:

36.0ms	(hypot.f64 #s(literal 1 binary64) x)
9.0ms	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	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes48.0ms (1.2%)

Memory

6.3MiB live, 53.1MiB allocated; 1ms collecting garbage

Counts

29 → 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 (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 #s(approx (+ ( (neg (* x x)) 11/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (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 (.f64 x x) #s(literal 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 (+ 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.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 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #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 (/ (- 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 (fma.f64 (neg.f64 (.f64 x x)) #s(literal 11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(-.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))))))
(-.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 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)))))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
(/.f64 #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 #s(literal 3/2 binary64) #s(approx (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #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(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 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) 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 (fma.f64 (-.f64 (.f64 (-.f64 #s(literal 121/1536 binary64) (.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(/.f64 #s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (.f64 (.f64 x x) #s(literal 3/8 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 (.f64 (+.f64 (/.f64 #s(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 #s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -8043/32768 binary64) (.f64 x x) #s(literal 275/1024 binary64)) (.f64 x x)) #s(literal 39/128 binary64)) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x 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)))))))

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)))))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 #s(literal 121/1536 binary64) (.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 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 (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 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 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:

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

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes50.0ms (1.2%)

Memory

14.0MiB live, 101.8MiB allocated; 8ms collecting garbage

Counts

28 → 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 (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 #s(approx (+ ( (neg (* x x)) 11/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (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 (.f64 x x) #s(literal 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 (+ 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.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 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #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 (/ (- 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 (fma.f64 (neg.f64 (.f64 x x)) #s(literal 11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(-.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))))))
(-.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 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)))))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
(/.f64 #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 #s(literal 3/2 binary64) #s(approx (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #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(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 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) 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 (fma.f64 (-.f64 (.f64 (-.f64 #s(literal 121/1536 binary64) (.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(/.f64 #s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (.f64 (.f64 x x) #s(literal 3/8 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 (.f64 (+.f64 (/.f64 #s(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 #s(approx (- 1 (pow (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) 3/2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -8043/32768 binary64) (.f64 x x) #s(literal 275/1024 binary64)) (.f64 x x)) #s(literal 39/128 binary64)) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x 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 (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 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 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:

9.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
9.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
7.0ms	x
6.0ms	(hypot.f64 #s(literal 1 binary64) x)
5.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes43.0ms (1.1%)

Memory

-2.2MiB live, 98.9MiB 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 (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 #s(approx (+ ( (neg (* x x)) 11/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (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 (.f64 x x) #s(literal 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 (+ 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.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 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #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 (/ (- 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 (fma.f64 (neg.f64 (.f64 x x)) #s(literal 11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(-.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))))))
(-.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 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)))))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
(/.f64 #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 #s(literal 3/2 binary64) #s(approx (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #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(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 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))))

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)))))) (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) #s(literal 11/128 binary64) #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:

8.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
7.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
6.0ms	x
5.0ms	(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
99.8%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.8%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.8%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.8%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.8%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.8%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes36.0ms (0.9%)

Memory

-12.7MiB live, 81.1MiB allocated; 3ms collecting garbage

Counts

21 → 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 (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 #s(approx (+ ( (neg (* x x)) 11/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (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 (.f64 x x) #s(literal 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 (+ 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.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 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #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 (/ (- 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 (fma.f64 (neg.f64 (.f64 x x)) #s(literal 11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(-.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))))))
(-.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 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)))))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
(/.f64 #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 #s(literal 3/2 binary64) #s(approx (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) x)))))

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)))))) (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) #s(literal 11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))

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

Calls

7 calls:

6.0ms	x
6.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
5.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
5.0ms	(hypot.f64 #s(literal 1 binary64) x)
4.0ms	(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
99.4%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.4%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.4%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.4%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.4%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.4%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.4%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes32.0ms (0.8%)

Memory

19.1MiB live, 71.2MiB allocated; 4ms collecting garbage

Counts

18 → 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 (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 #s(approx (+ ( (neg (* x x)) 11/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (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 (.f64 x x) #s(literal 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 (+ 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.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 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #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 (/ (- 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 (fma.f64 (neg.f64 (.f64 x x)) #s(literal 11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(-.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))))))
(-.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 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 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)))))) (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) #s(literal 11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))

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

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

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes25.0ms (0.6%)

Memory

4.6MiB live, 51.5MiB 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 (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 #s(approx (+ ( (neg (* x x)) 11/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (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 (.f64 x x) #s(literal 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 (+ 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.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 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #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 (/ (- 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 (fma.f64 (neg.f64 (.f64 x x)) #s(literal 11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))

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)))))) (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) #s(literal 11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))

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

Calls

7 calls:

4.0ms	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)))))
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
98.7%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.7%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.7%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.7%	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)))))`
98.7%	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))))))`
98.7%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes24.0ms (0.6%)

Memory

1.4MiB live, 48.0MiB 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 (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 #s(approx (+ ( (neg (* x x)) 11/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (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 (.f64 x x) #s(literal 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 (+ 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.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 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #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))))

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)))))) (*.f64 #s(approx (+ (* (neg (* x x)) 11/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))

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

Calls

7 calls:

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	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
98.4%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.4%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.4%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.4%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.4%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.4%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.4%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes18.0ms (0.5%)

Memory

-21.8MiB live, 25.3MiB allocated; 1ms 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 (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 #s(approx (+ ( (neg (* x x)) 11/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (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 (.f64 x x) #s(literal 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 (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 #s(approx (+ (* (neg (* x x)) 11/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))

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

Results

Accuracy	Segments	Branch
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)

regimes9.0ms (0.2%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Counts

3 → 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 (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 #s(approx (+ (* (neg (* x x)) 11/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)))

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)))))) (*.f64 #s(approx (+ (* (neg (* x x)) 11/128) 1/8) #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
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
97.5%	2	`(hypot.f64 #s(literal 1 binary64) x)`
97.5%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
97.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
97.5%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
97.5%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
97.5%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
97.5%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes8.0ms (0.2%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms 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:

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
77.7%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
77.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
77.7%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
77.7%	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)))))`
77.7%	2	`(hypot.f64 #s(literal 1 binary64) x)`
77.7%	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))))))`
77.9%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes57.0ms (1.4%)

Memory

-79.5MiB live, 13.1MiB allocated; 47ms 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:

51.0ms	x
1.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
1.0ms	(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
31.0%	1	`(hypot.f64 #s(literal 1 binary64) x)`
31.0%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
31.0%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
31.0%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
31.0%	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)))))`
31.0%	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))))))`
31.0%	1	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch15.0ms (0.4%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0029953538837520625	0.0526262095230234

Samples

5.0ms	80×	0	valid
4.0ms	32×	1	valid

Compiler

Compiled 580 to 433 computations (25.3% saved)

Precisions

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

ival-hypot: 2.0ms (32.5% of total)

adjust: 1.0ms (16.2% of total)

ival-div!: 1.0ms (16.2% of total)

ival-sqrt: 1.0ms (16.2% of total)

ival-mult!: 1.0ms (16.2% of total)

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

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

bsearch8.0ms (0.2%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.0029953538837520625	0.0526262095230234

Samples

2.0ms	16×	1	valid
2.0ms	32×	0	valid

Compiler

Compiled 573 to 419 computations (26.9% saved)

Precisions

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

ival-hypot: 1.0ms (35.6% 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-sqrt: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.0029953538837520625	0.0526262095230234

Compiler

Compiled 517 to 391 computations (24.4% saved)

bsearch20.0ms (0.5%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.1066379353154984e-5	0.0029953538837520625

Samples

13.0ms

112×

valid

Compiler

Compiled 398 to 279 computations (29.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-hypot: 4.0ms (38.3% of total)

adjust: 2.0ms (19.1% of total)

ival-sqrt: 2.0ms (19.1% of total)

ival-sub!: 1.0ms (9.6% of total)

ival-div!: 1.0ms (9.6% of total)

ival-mult!: 1.0ms (9.6% of total)

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

bsearch21.0ms (0.5%)

Memory

-30.3MiB live, 15.5MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.0526262095230234	11.828174551821451

Samples

15.0ms

112×

valid

Compiler

Compiled 447 to 363 computations (18.8% saved)

Precisions

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

ival-hypot: 11.0ms (84.5% of total)

ival-sqrt: 1.0ms (7.7% of total)

ival-div!: 1.0ms (7.7% 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)

bsearch4.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	4.1066379353154984e-5	0.0029953538837520625

Samples

2.0ms

16×

valid

Compiler

Compiled 349 to 265 computations (24.1% saved)

Precisions

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

ival-hypot: 1.0ms (65.9% of total)

adjust: 0.0ms (0% of total)

ival-sub!: 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)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0526262095230234	11.828174551821451

Compiler

Compiled 398 to 314 computations (21.1% saved)

bsearch3.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.0526262095230234	11.828174551821451

Samples

1.0ms

16×

valid

Compiler

Compiled 419 to 335 computations (20% 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)

bsearch4.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.0526262095230234	11.828174551821451

Samples

2.0ms

32×

valid

Compiler

Compiled 475 to 349 computations (26.5% saved)

Precisions

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

ival-hypot: 1.0ms (81.9% 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)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0526262095230234	11.828174551821451

Compiler

Compiled 405 to 321 computations (20.7% saved)

bsearch46.0ms (1.1%)

Memory

-8.0MiB live, 35.6MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	7.280652492580551e-81	3.0871311977071234e-73

Samples

19.0ms

144×

valid

Compiler

Compiled 281 to 292 computations (-3.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-hypot: 7.0ms (45% of total)

adjust: 3.0ms (19.3% of total)

ival-div!: 2.0ms (12.9% of total)

ival-sqrt: 2.0ms (12.9% of total)

ival-add!: 1.0ms (6.4% of total)

ival-sub!: 1.0ms (6.4% of total)

ival-mult!: 1.0ms (6.4% of total)

derivations228.0ms (5.7%)

Memory

15.6MiB live, 163.5MiB allocated; 11ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 245 to 133 computations (45.7% saved)

preprocess142.0ms (3.5%)

Memory: -18.4MiB live, 260.4MiB allocated; 29ms collecting garbage
Remove: (abs x)
Compiler: Compiled 1 603 to 1 110 computations (30.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (44.8%)

preprocess127.0ms (3.2%)

series7.0ms (0.2%)

rewrite237.0ms (5.9%)

eval21.0ms (0.5%)

prune10.0ms (0.2%)

series24.0ms (0.6%)

rewrite257.0ms (6.4%)

eval87.0ms (2.2%)

prune17.0ms (0.4%)

series29.0ms (0.7%)

rewrite170.0ms (4.2%)

eval42.0ms (1%)

prune40.0ms (1%)

series33.0ms (0.8%)

rewrite153.0ms (3.8%)

eval24.0ms (0.6%)

prune20.0ms (0.5%)

regimes79.0ms (2%)

regimes48.0ms (1.2%)

regimes50.0ms (1.2%)

regimes43.0ms (1.1%)

regimes36.0ms (0.9%)

regimes32.0ms (0.8%)

regimes25.0ms (0.6%)

regimes24.0ms (0.6%)

regimes18.0ms (0.5%)

regimes9.0ms (0.2%)

regimes8.0ms (0.2%)

regimes57.0ms (1.4%)

bsearch15.0ms (0.4%)

bsearch8.0ms (0.2%)

bsearch2.0ms (0%)

bsearch20.0ms (0.5%)

bsearch21.0ms (0.5%)

bsearch4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch3.0ms (0.1%)

bsearch4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch46.0ms (1.1%)

derivations228.0ms (5.7%)

preprocess142.0ms (3.5%)

end0.0ms (0%)

Profiling