Metrics for Given's Rotation SVD example, simplified

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.9s (25%)

Memory

86.0MiB live, 1 175.7MiB allocated; 495ms collecting garbage

Samples

994.0ms	3 011×	2	valid
364.0ms	4 029×	0	valid
223.0ms	1 216×	1	valid

Precisions

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

ival-hypot: 534.0ms (40.4% of total)

ival-sqrt: 202.0ms (15.3% of total)

ival-div!: 188.0ms (14.2% of total)

ival-mult!: 160.0ms (12.1% of total)

adjust: 148.0ms (11.2% of total)

ival-sub!: 46.0ms (3.5% of total)

ival-add!: 43.0ms (3.3% of total)

Bogosity

preprocess230.0ms (3%)

Memory

-29.7MiB live, 58.0MiB allocated; 32ms 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
▶	77.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Symmetry

(abs x)

Compiler

Compiled 24 to 18 computations (25% saved)

series13.0ms (0.2%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Counts

9 → 69

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))
#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))
#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))
#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))
#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
4.0ms	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)
3.0ms	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)
3.0ms	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

4.0ms

((- 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)

3.0ms

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)

3.0ms

-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)

rewrite871.0ms (11.4%)

Memory

-3.8MiB live, 382.4MiB allocated; 101ms collecting garbage

Counts

78 → 127

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))
#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))
#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))
#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))
#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 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (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 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (.f64 #s(literal 1 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)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(fabs.f64 #s(literal 1 binary64))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(neg.f64 #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(sqrt.f64 #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(pow.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 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(neg.f64 #s(literal -1/2 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 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))
(hypot.f64 #s(literal -1 binary64) x)
(hypot.f64 #s(literal -1 binary64) (neg.f64 x))
(hypot.f64 #s(literal -1 binary64) (fabs.f64 x))
(hypot.f64 #s(literal 1 binary64) x)
(hypot.f64 #s(literal 1 binary64) (neg.f64 x))
(hypot.f64 #s(literal 1 binary64) (fabs.f64 x))
(hypot.f64 (fabs.f64 x) #s(literal -1 binary64))
(hypot.f64 (fabs.f64 x) #s(literal 1 binary64))
(hypot.f64 x #s(literal -1 binary64))
(hypot.f64 x #s(literal 1 binary64))
(hypot.f64 (neg.f64 x) #s(literal -1 binary64))
(hypot.f64 (neg.f64 x) #s(literal 1 binary64))
(hypot.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(hypot.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
(hypot.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(hypot.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
x
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/16 binary64) #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) (-.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/16 binary64) #s(literal 4 binary64))) #s(literal 4 binary64)) #s(literal 5/16 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/16 binary64) #s(literal 4 binary64))) #s(literal 2 binary64))))) (.f64 x x) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1 binary64))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/16 binary64) #s(literal 4 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/16 binary64) #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/16 binary64) #s(literal 4 binary64))) #s(literal 4 binary64)) #s(literal 5/16 binary64))) #s(literal 2 binary64)))) (.f64 x x) (/.f64 (.f64 #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(literal 1 binary64))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (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 (sqrt (+ 1 (* x x)))) 1/2)) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/32 binary64) #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 (* x x))))) #s(literal 2 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ 1 (* x x))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ 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 (* 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 (* x x)))) #s(literal 1 binary64))
#s(approx (/ 1 (sqrt (+ 1 (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ 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 (* 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 (* x x))) #s(literal 1 binary64))
#s(approx (sqrt (+ 1 (* x x))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ 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 (* x x))) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #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 (sqrt (+ 1 (* x x)))) 1/2)))) (-.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) x)))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) #s(literal 3/16 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1/2 binary64))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) x)))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) (+.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) (+.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) #s(literal -3/16 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (-.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 3/16 binary64) (pow.f64 x (neg.f64 #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x))))
#s(approx (+ 1 (/ 1 (sqrt (+ 1 (* x x))))) #s(literal 1 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ 1 (* x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1 (/ 1 (sqrt (+ 1 (* x x))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))))
#s(approx (+ 1 (/ 1 (sqrt (+ 1 (* x x))))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/8 binary64) (pow.f64 x (neg.f64 #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))))
#s(approx (/ 1 (sqrt (+ 1 (* x x)))) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (sqrt (+ 1 (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))
#s(approx (/ 1 (sqrt (+ 1 (* x x)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))
#s(approx (/ 1 (sqrt (+ 1 (* x x)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 5/16 binary64) (pow.f64 x (neg.f64 #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x))
#s(approx (sqrt (+ 1 (* x x))) x)
#s(approx (sqrt (+ 1 (* x x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x))
#s(approx (sqrt (+ 1 (* x x))) (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (sqrt (+ 1 (* x x))) (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x (neg.f64 #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) (-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) #s(literal -1/8 binary64)) x) #s(literal 1/4 binary64)) x))) #s(literal 1/2 binary64)))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) (-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/16 binary64) (*.f64 #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x)) #s(literal 1/4 binary64)) x))) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) x)))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64) #s(literal 1/4 binary64)) x))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 3/16 binary64) #s(literal 1/2 binary64)) x)) x)) #s(literal 1/4 binary64)) x))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x))))
#s(approx (+ 1 (/ 1 (sqrt (+ 1 (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1 (/ 1 (sqrt (+ 1 (* x x))))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))))
#s(approx (+ 1 (/ 1 (sqrt (+ 1 (* x x))))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))))
#s(approx (/ 1 (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ 1 (sqrt (+ 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 (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)))
#s(approx (/ 1 (sqrt (+ 1 (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 5/16 binary64) (pow.f64 x (neg.f64 #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x)))
#s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))
#s(approx (sqrt (+ 1 (* x x))) (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
#s(approx (sqrt (+ 1 (* x x))) (.f64 (neg.f64 x) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (sqrt (+ 1 (* x x))) (.f64 (neg.f64 x) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x (neg.f64 #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))

eval28.0ms (0.4%)

Memory: 30.7MiB live, 30.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 471 to 729 computations (50.4% saved)

prune14.0ms (0.2%)

Memory

-32.4MiB live, 14.1MiB allocated; 3ms collecting garbage

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	112	11	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	11	124

Accuracy

77.4%

Counts

124 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (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 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (.f64 #s(literal 1 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))))))))
	77.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 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))))))
▶	77.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
	77.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))))
▶	51.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1 ( x x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x)))))))
	26.8%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
	48.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
▶	50.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
▶	50.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(literal 1/2 binary64))))
	27.7%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1 binary64)))
▶	11.8%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1/2 binary64)))

Compiler

Compiled 406 to 324 computations (20.2% saved)

series13.0ms (0.2%)

Memory

19.4MiB live, 19.4MiB allocated; 0ms collecting garbage

Counts

30 → 190

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
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1 ( x x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x)))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1 ( x x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1 ( x x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1 (* x x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1 (* x x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x)))
#s(approx (sqrt (+ 1 (* x x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x 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))
#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))
#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))
#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))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 1/2))) #s(hole binary64 1))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 1/2)) #s(hole binary64 1))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 (/ (+ 1/2 (* 1/2 x)) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 1 (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 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 (* 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 (* 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 (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 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 (* 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 (* 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 (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ 1 (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ 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 (* 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 (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (sqrt (+ 1 (* x x))))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ 1 (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ 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 (* x x)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ 1 (* x x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ 1 (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ 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 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (+ 1 (* x x))) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (* (+ 1 (/ 1/2 (* x x))) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (* (+ 1 (/ 1/2 (* x x))) x) #s(hole binary64 (/ (+ 1/2 (pow x 2)) x)))
#s(approx (+ 1 (/ 1/2 (* x x))) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (+ 1 (/ 1/2 (* x x))) #s(hole binary64 (/ (+ 1/2 (pow x 2)) (pow x 2))))
#s(approx (/ 1/2 (* x x)) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (- 1 (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))
#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 x)))
#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 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))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) #s(hole binary64 (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 1/2))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 1/2)) #s(hole binary64 1/2))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 1 (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 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 (* 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 (* 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 (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 1 (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 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 (* 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 (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ 1 (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ 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 (* 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 (* x x))))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (sqrt (+ 1 (* x x))))) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ 1 (* x x))))) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ 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 (* x x)))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ 1 (* x x)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ 1 (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ 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 (* x x))) #s(hole binary64 x))
#s(approx (sqrt (+ 1 (* x x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ 1 (* x x))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ 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 (/ 1/2 (* x x))) x) #s(hole binary64 x))
#s(approx (* (+ 1 (/ 1/2 (* x x))) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ 1 (/ 1/2 (* x x))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1/2 (* x x))) #s(hole binary64 (+ 1 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))))
#s(approx (+ 1/2 (* (/ 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 (/ (- 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 (/ -1/2 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 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) #s(hole binary64 (- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 1/2))) #s(hole binary64 (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 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 (* 1/2 (+ 1 (/ 1 (sqrt (+ 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 (* 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 (* 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 (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 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 (* 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 (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ 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 (* 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 (* x x))))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ 1 (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ 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 (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ 1 (* x x)))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ 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 (* 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 (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ 1 (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ 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
4.0ms	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 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 1 (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 1 (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ 1 (* x x)))))) (+ 1 (/ 1 (sqrt (+ 1 (* x x))))) (/ 1 (sqrt (+ 1 (* x x)))) (sqrt (+ 1 (* x x))) (* (+ 1 (/ 1/2 (* x x))) x) (+ 1 (/ 1/2 (* x x))) (/ 1/2 (* x x)) (* x x))
3.0ms	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 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 1 (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 1 (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ 1 (* x x)))))) (+ 1 (/ 1 (sqrt (+ 1 (* x x))))) (/ 1 (sqrt (+ 1 (* x x)))) (sqrt (+ 1 (* x x))) (* (+ 1 (/ 1/2 (* x x))) x) (+ 1 (/ 1/2 (* x x))) (/ 1/2 (* x x)) (* x x))
3.0ms	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 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 1 (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 1 (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ 1 (* x x)))))) (+ 1 (/ 1 (sqrt (+ 1 (* x x))))) (/ 1 (sqrt (+ 1 (* x x)))) (sqrt (+ 1 (* x x))) (* (+ 1 (/ 1/2 (* x x))) x) (+ 1 (/ 1/2 (* x x))) (/ 1/2 (* x x)) (* x x))

Time

Variable

Point

Expression

4.0ms

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

3.0ms

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

3.0ms

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

rewrite1.3s (17%)

Memory

-91.7MiB live, 464.9MiB allocated; 255ms collecting garbage

Counts

220 → 270

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
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1 ( x x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x)))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1 ( x x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1 ( x x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1 (* x x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1 (* x x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x)))
#s(approx (sqrt (+ 1 (* x x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x 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))
#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))
#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))
#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))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 1/2))) #s(hole binary64 1))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 1/2)) #s(hole binary64 1))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 (/ (+ 1/2 (* 1/2 x)) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 1 (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 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 (* 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 (* 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 (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 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 (* 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 (* 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 (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ 1 (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ 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 (* 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 (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (sqrt (+ 1 (* x x))))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ 1 (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ 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 (* x x)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ 1 (* x x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ 1 (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ 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 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (+ 1 (* x x))) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (* (+ 1 (/ 1/2 (* x x))) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (* (+ 1 (/ 1/2 (* x x))) x) #s(hole binary64 (/ (+ 1/2 (pow x 2)) x)))
#s(approx (+ 1 (/ 1/2 (* x x))) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (+ 1 (/ 1/2 (* x x))) #s(hole binary64 (/ (+ 1/2 (pow x 2)) (pow x 2))))
#s(approx (/ 1/2 (* x x)) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (- 1 (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))
#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 x)))
#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 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))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) #s(hole binary64 (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 1/2))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 1/2)) #s(hole binary64 1/2))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 1 (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 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 (* 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 (* 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 (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 1 (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 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 (* 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 (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ 1 (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ 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 (* 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 (* x x))))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (sqrt (+ 1 (* x x))))) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ 1 (* x x))))) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ 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 (* x x)))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ 1 (* x x)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ 1 (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ 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 (* x x))) #s(hole binary64 x))
#s(approx (sqrt (+ 1 (* x x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ 1 (* x x))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ 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 (/ 1/2 (* x x))) x) #s(hole binary64 x))
#s(approx (* (+ 1 (/ 1/2 (* x x))) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ 1 (/ 1/2 (* x x))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1/2 (* x x))) #s(hole binary64 (+ 1 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))))
#s(approx (+ 1/2 (* (/ 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 (/ (- 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 (/ -1/2 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 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)))) #s(hole binary64 (- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 1/2))) #s(hole binary64 (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 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 (+ 1 (* x x)))) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 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 (* 1/2 (+ 1 (/ 1 (sqrt (+ 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 (* 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 (* 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 (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ 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 (* 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 (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ 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 (* 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 (* x x))))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ 1 (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ 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 (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ 1 (* x x)))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ 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 (* 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 (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ 1 (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ 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 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))
(pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
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#s(approx (cosh (asinh x)) #s(literal 1 binary64))
#s(approx (cosh (asinh x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh (asinh 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)))
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#s(approx (* (+ 1 (/ 1/2 (* x x))) x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ 1 (/ 1/2 (* x x))) x) (/.f64 (fma.f64 x x #s(literal 1/2 binary64)) x))
#s(approx (+ 1 (/ 1/2 (* x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (+ 1 (/ 1/2 (* x x))) (/.f64 (fma.f64 x x #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ 1/2 (* x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
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#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
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#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x))))
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#s(approx (* (cos (atan x)) 1/2) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (* (cos (atan x)) 1/2) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x))) x))
#s(approx (* (cos (atan x)) 1/2) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x))) x))
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#s(approx (cos (atan x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (cos (atan x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x))) x))
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#s(approx (cosh (asinh x)) x)
#s(approx (cosh (asinh x)) (.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (cosh (asinh x)) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (cosh (asinh x)) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64))) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (+ 1 (* x x)) (*.f64 x x))
#s(approx (+ 1 (* x x)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
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#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)))))
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#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x))))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 (pow.f64 x (neg.f64 #s(literal 5 binary64))) #s(literal 3/16 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) x))))
#s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (/ 1/2 x) 1/2) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (-.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))))
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#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 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))))
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#s(approx (+ 1 (cos (atan x))) #s(literal 1 binary64))
#s(approx (+ 1 (cos (atan x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
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#s(approx (cos (atan x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (cos (atan x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x))) x))
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#s(approx (cosh (asinh x)) x)
#s(approx (cosh (asinh x)) (.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (cosh (asinh x)) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
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#s(approx (* (+ 1 (/ 1/2 (* x x))) x) x)
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#s(approx (+ 1 (/ 1/2 (* x x))) #s(literal 1 binary64))
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#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
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#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x))) x))))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x))) x))))
#s(approx (* (cos (atan x)) 1/2) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (* (cos (atan x)) 1/2) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x))) x)))
#s(approx (* (cos (atan x)) 1/2) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x))) x)))
#s(approx (* (cos (atan x)) 1/2) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64))) #s(literal 5/32 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x)))) x)))
#s(approx (cos (atan x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (cos (atan x)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x))) x)))
#s(approx (cos (atan x)) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x))) x)))
#s(approx (cos (atan x)) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64))) #s(literal 5/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x)))) x)))
#s(approx (cosh (asinh x)) (neg.f64 x))
#s(approx (cosh (asinh x)) (.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (cosh (asinh x)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (cosh (asinh x)) (.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64))) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/32 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) x)) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) x)) #s(literal 1/32 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/32 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) x))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x))) x))))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x))) x))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (-.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 (* (cos (atan x)) 1/2)))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (.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(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/2 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(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 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 (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (+.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)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)) x))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x))) x))))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x))) x))))
#s(approx (+ 1 (cos (atan x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1 (cos (atan x))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x))) x))))
#s(approx (+ 1 (cos (atan x))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x))) x))))
#s(approx (cos (atan x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (cos (atan x)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x))) x)))
#s(approx (cos (atan x)) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x))) x)))
#s(approx (cos (atan x)) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64))) #s(literal 5/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x)))) x)))
#s(approx (cosh (asinh x)) (neg.f64 x))
#s(approx (cosh (asinh x)) (.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (cosh (asinh x)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (cosh (asinh x)) (.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64))) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))

eval24.0ms (0.3%)

Memory: 30.7MiB live, 30.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 528 to 1 194 computations (52.8% saved)

prune21.0ms (0.3%)

Memory

-23.3MiB live, 22.6MiB allocated; 6ms collecting garbage

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	189	8	197
Fresh	2	4	6
Picked	2	3	5
Done	0	0	0
Total	193	15	208

Accuracy

99.3%

Counts

208 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (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 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (.f64 #s(literal 1 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))))))))
	77.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 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))))))
▶	77.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
▶	48.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
✓	50.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
✓	50.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(literal 1/2 binary64))))
▶	27.7%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1 binary64)))
✓	11.8%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1/2 binary64)))
	27.5%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	29.1%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
	50.8%	#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/32 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
	49.6%	#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
▶	51.0%	#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
▶	49.3%	#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
	50.7%	#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

Compiler

Compiled 530 to 442 computations (16.6% saved)

series12.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Counts

29 → 127

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

inf

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

3.0ms

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

3.0ms

-inf

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

rewrite868.0ms (11.4%)

Memory

-21.8MiB live, 215.0MiB allocated; 44ms collecting garbage

Counts

156 → 234

Calls

Call 1

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

Outputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #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) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (-.f64 (.f64 (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(cos.f64 (atan.f64 x))
(cos.f64 (neg.f64 (atan.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(sin.f64 (+.f64 (atan.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cosh.f64 (asinh.f64 x))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1 binary64)))))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
x
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(sqrt.f64 #s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (neg.f64 #s(literal 1/2 binary64)) (neg.f64 x))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 x x) (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))))
(.f64 (.f64 x x) (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)))
(.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(+.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -11/128 binary64))))
(fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -11/128 binary64))))
(fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -11/128 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64)))
(-.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 #s(literal -11/128 binary64)) (.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) (.f64 (.f64 x x) #s(literal -11/128 binary64)))) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) (.f64 (.f64 x x) #s(literal -11/128 binary64))) (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) (.f64 (.f64 x x) #s(literal -11/128 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) (.f64 (.f64 x x) #s(literal -11/128 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64))
(fma.f64 (*.f64 #s(literal -11/128 binary64) x) x #s(literal 1/8 binary64))
#s(literal -11/128 binary64)
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 1/8 binary64)
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(+.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x)) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x))))
(fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x)) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x))))
(fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x)) (*.f64 x x)))
(fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x))))
(+.f64 (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x)) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x)))
(-.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 (.f64 x x)) (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x))) (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (-.f64 (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x)) #s(literal 1/8 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (.f64 (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x)))) (-.f64 #s(literal 1/8 binary64) (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x))) (.f64 #s(literal 1/8 binary64) (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (.f64 (.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x)) #s(literal 1/8 binary64)))))
(fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) #s(literal 1/8 binary64))
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#s(approx (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 69/1024 binary64)))
#s(approx (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) (.f64 (-.f64 #s(literal 69/1024 binary64) (/.f64 (.f64 #s(literal 11/128 binary64) #s(literal 1 binary64)) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 69/1024 binary64)) (/.f64 (.f64 #s(literal 11/128 binary64) #s(literal 1 binary64)) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* 69/1024 (* x x)) 11/128) (.f64 #s(literal 69/1024 binary64) (.f64 x x)))
#s(approx (- (* 69/1024 (* x x)) 11/128) (.f64 (-.f64 #s(literal 69/1024 binary64) (/.f64 (.f64 #s(literal 11/128 binary64) #s(literal 1 binary64)) (.f64 x x))) (.f64 x x)))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/32 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) x)) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) x)) #s(literal 1/32 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/32 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) x))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (cos (atan x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (cos (atan x)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x))) x)))
#s(approx (cos (atan x)) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x))) x)))
#s(approx (cos (atan x)) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64))) #s(literal 5/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x)))) x)))
#s(approx (cosh (asinh x)) (neg.f64 x))
#s(approx (cosh (asinh x)) (.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (cosh (asinh x)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (cosh (asinh x)) (.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64))) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/32 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) x)) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) x)) #s(literal 1/32 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/32 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) x))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x))) x)) #s(literal 1/2 binary64)))

eval20.0ms (0.3%)

Memory: 15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 170 to 990 computations (54.4% saved)

prune13.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	181	3	184
Fresh	1	6	7
Picked	1	4	5
Done	0	3	3
Total	183	16	199

Accuracy

99.3%

Counts

199 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.8%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (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 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (.f64 #s(literal 1 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))))))))
▶	77.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 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))))))
✓	77.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
✓	48.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
✓	50.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
✓	50.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(literal 1/2 binary64))))
✓	27.7%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1 binary64)))
✓	11.8%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1/2 binary64)))
	27.5%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	29.1%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
▶	50.8%	#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/32 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
	49.6%	#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
✓	49.3%	#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
▶	51.0%	#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
▶	49.3%	#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
▶	50.7%	#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))

Compiler

Compiled 508 to 423 computations (16.7% saved)

series37.0ms (0.5%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Counts

55 → 181

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 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) (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
#s(literal 1 binary64)
(.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(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
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(*.f64 x x)
#s(literal 1/8 binary64)
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
#s(literal -11/128 binary64)
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x)
(fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
(-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64))
(.f64 #s(literal 69/1024 binary64) (.f64 x x))
#s(literal 69/1024 binary64)
#s(literal 11/128 binary64)
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/32 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
(-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/32 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/32 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/32 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/32 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(neg.f64 #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/64 binary64)
#s(literal 1/4 binary64)
(.f64 (.f64 (*.f64 x x) x) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 x x) x)
#s(literal -1/2 binary64)
(/.f64 (.f64 #s(literal 1/32 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)))
(*.f64 #s(literal 1/32 binary64) #s(literal 1 binary64))
#s(literal 1/32 binary64)
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))

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

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	((/ (- 1 (* (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))))) (+ 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))))) (- 1 (* (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))))) 1 (* (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (+ 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* x x) 1/8) (* x x) 1/8 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* (+ (* -11/128 (* x x)) 1/8) x) x) (* (+ (* -11/128 (* x x)) 1/8) x) (+ (* -11/128 (* x x)) 1/8) -11/128 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) x) x) (* (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) x) (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) (- (* 69/1024 (* x x)) 11/128) (* 69/1024 (* x x)) 69/1024 11/128 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (- (- (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) 1) (sqrt 1/2)) (/ 1/4 (* x (sqrt 1/2)))) (- (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) 1) (sqrt 1/2)) (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) 1) (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (pow (sqrt 1/2) (neg 4)) 1/64) (pow (sqrt 1/2) (neg 4)) (sqrt 1/2) (neg 4) 4 1/64 1/4 (* (* (* x x) x) (sqrt 1/2)) (* (* x x) x) -1/2 (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x))) (* 1/32 1) 1/32 (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)) (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* (sqrt 1/2) (sqrt 1/2)) (/ 1/4 (* x (sqrt 1/2))) (* x (sqrt 1/2)))
10.0ms	x	@	0	((/ (- 1 (* (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))))) (+ 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))))) (- 1 (* (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))))) 1 (* (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (+ 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* x x) 1/8) (* x x) 1/8 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* (+ (* -11/128 (* x x)) 1/8) x) x) (* (+ (* -11/128 (* x x)) 1/8) x) (+ (* -11/128 (* x x)) 1/8) -11/128 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) x) x) (* (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) x) (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) (- (* 69/1024 (* x x)) 11/128) (* 69/1024 (* x x)) 69/1024 11/128 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (- (- (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) 1) (sqrt 1/2)) (/ 1/4 (* x (sqrt 1/2)))) (- (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) 1) (sqrt 1/2)) (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) 1) (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (pow (sqrt 1/2) (neg 4)) 1/64) (pow (sqrt 1/2) (neg 4)) (sqrt 1/2) (neg 4) 4 1/64 1/4 (* (* (* x x) x) (sqrt 1/2)) (* (* x x) x) -1/2 (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x))) (* 1/32 1) 1/32 (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)) (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* (sqrt 1/2) (sqrt 1/2)) (/ 1/4 (* x (sqrt 1/2))) (* x (sqrt 1/2)))
10.0ms	x	@	-inf	((/ (- 1 (* (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))))) (+ 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))))) (- 1 (* (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))))) 1 (* (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (+ 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* x x) 1/8) (* x x) 1/8 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* (+ (* -11/128 (* x x)) 1/8) x) x) (* (+ (* -11/128 (* x x)) 1/8) x) (+ (* -11/128 (* x x)) 1/8) -11/128 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) x) x) (* (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) x) (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) (- (* 69/1024 (* x x)) 11/128) (* 69/1024 (* x x)) 69/1024 11/128 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (- (- (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) 1) (sqrt 1/2)) (/ 1/4 (* x (sqrt 1/2)))) (- (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) 1) (sqrt 1/2)) (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) 1) (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (pow (sqrt 1/2) (neg 4)) 1/64) (pow (sqrt 1/2) (neg 4)) (sqrt 1/2) (neg 4) 4 1/64 1/4 (* (* (* x x) x) (sqrt 1/2)) (* (* x x) x) -1/2 (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x))) (* 1/32 1) 1/32 (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)) (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* (sqrt 1/2) (sqrt 1/2)) (/ 1/4 (* x (sqrt 1/2))) (* x (sqrt 1/2)))

Time

Variable

Point

Expression

11.0ms

inf

((/ (- 1 (* (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))))) (+ 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))))) (- 1 (* (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))))) 1 (* (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (+ 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* x x) 1/8) (* x x) 1/8 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* (+ (* -11/128 (* x x)) 1/8) x) x) (* (+ (* -11/128 (* x x)) 1/8) x) (+ (* -11/128 (* x x)) 1/8) -11/128 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) x) x) (* (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) x) (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) (- (* 69/1024 (* x x)) 11/128) (* 69/1024 (* x x)) 69/1024 11/128 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (- (- (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) 1) (sqrt 1/2)) (/ 1/4 (* x (sqrt 1/2)))) (- (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) 1) (sqrt 1/2)) (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) 1) (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (pow (sqrt 1/2) (neg 4)) 1/64) (pow (sqrt 1/2) (neg 4)) (sqrt 1/2) (neg 4) 4 1/64 1/4 (* (* (* x x) x) (sqrt 1/2)) (* (* x x) x) -1/2 (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x))) (* 1/32 1) 1/32 (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)) (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* (sqrt 1/2) (sqrt 1/2)) (/ 1/4 (* x (sqrt 1/2))) (* x (sqrt 1/2)))

10.0ms

((/ (- 1 (* (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))))) (+ 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))))) (- 1 (* (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))))) 1 (* (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (+ 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* x x) 1/8) (* x x) 1/8 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* (+ (* -11/128 (* x x)) 1/8) x) x) (* (+ (* -11/128 (* x x)) 1/8) x) (+ (* -11/128 (* x x)) 1/8) -11/128 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) x) x) (* (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) x) (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) (- (* 69/1024 (* x x)) 11/128) (* 69/1024 (* x x)) 69/1024 11/128 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (- (- (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) 1) (sqrt 1/2)) (/ 1/4 (* x (sqrt 1/2)))) (- (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) 1) (sqrt 1/2)) (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) 1) (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (pow (sqrt 1/2) (neg 4)) 1/64) (pow (sqrt 1/2) (neg 4)) (sqrt 1/2) (neg 4) 4 1/64 1/4 (* (* (* x x) x) (sqrt 1/2)) (* (* x x) x) -1/2 (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x))) (* 1/32 1) 1/32 (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)) (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* (sqrt 1/2) (sqrt 1/2)) (/ 1/4 (* x (sqrt 1/2))) (* x (sqrt 1/2)))

10.0ms

-inf

((/ (- 1 (* (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))))) (+ 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))))) (- 1 (* (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))))) 1 (* (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (+ 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* x x) 1/8) (* x x) 1/8 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* (+ (* -11/128 (* x x)) 1/8) x) x) (* (+ (* -11/128 (* x x)) 1/8) x) (+ (* -11/128 (* x x)) 1/8) -11/128 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (* (* (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) x) x) (* (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) x) (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) (- (* 69/1024 (* x x)) 11/128) (* 69/1024 (* x x)) 69/1024 11/128 (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (- (- (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) 1) (sqrt 1/2)) (/ 1/4 (* x (sqrt 1/2)))) (- (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) 1) (sqrt 1/2)) (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) 1) (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) -1/2) (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)))) (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (* (* x x) x) (sqrt 1/2))) (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (pow (sqrt 1/2) (neg 4)) 1/64) (pow (sqrt 1/2) (neg 4)) (sqrt 1/2) (neg 4) 4 1/64 1/4 (* (* (* x x) x) (sqrt 1/2)) (* (* x x) x) -1/2 (/ (* 1/32 1) (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x))) (* 1/32 1) 1/32 (* (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* x x)) (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* (sqrt 1/2) (sqrt 1/2)) (/ 1/4 (* x (sqrt 1/2))) (* x (sqrt 1/2)))

rewrite1.3s (17.4%)

Memory

-24.5MiB live, 726.9MiB allocated; 124ms collecting garbage

Counts

236 → 441

Calls

Call 1

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

Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.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 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.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 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (-.f64 (.f64 (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (fabs.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fabs.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.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))))
(pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (-.f64 (.f64 (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (fabs.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fabs.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.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))))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fabs.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #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 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(cos.f64 (atan.f64 x))
(cos.f64 (neg.f64 (atan.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(sin.f64 (+.f64 (atan.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cosh.f64 (asinh.f64 x))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1 binary64)))))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
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#s(approx (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (pow x 3) (sqrt 1/2))) -1/2) (/ 1/32 (* (* 1/2 (sqrt 1/2)) (* x x)))) (- 1 (sqrt 1/2))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (pow x 3) (sqrt 1/2))) -1/2) (/ 1/32 (* (* 1/2 (sqrt 1/2)) (* x x)))) 1) #s(literal 1 binary64))
#s(approx (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (pow x 3) (sqrt 1/2))) -1/2) (/ 1/32 (* (* 1/2 (sqrt 1/2)) (* x x)))) 1) (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)))
#s(approx (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (pow x 3) (sqrt 1/2))) -1/2) (/ 1/32 (* (* 1/2 (sqrt 1/2)) (* x x)))) 1) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64))))
#s(approx (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (pow x 3) (sqrt 1/2))) -1/2) (/ 1/32 (* (* 1/2 (sqrt 1/2)) (* x x)))) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x))))
#s(approx (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (pow x 3) (sqrt 1/2))) -1/2) (/ 1/32 (* (* 1/2 (sqrt 1/2)) (* x x)))) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 x x)))
#s(approx (/ (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (+ 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
#s(approx (/ (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (+ 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)))) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x))))
#s(approx (/ (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (+ 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 #s(literal 1/32 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) x))) (/.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)))) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x))))
#s(approx (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) x)) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x))) x))))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x))) x))))
#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/32 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x))) x))))
#s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x))) x))))
#s(approx (* (cos (atan x)) 1/2) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (* (cos (atan x)) 1/2) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x))) x)))
#s(approx (* (cos (atan x)) 1/2) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x))) x)))
#s(approx (* (cos (atan x)) 1/2) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64))) #s(literal 5/32 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x x)))) x)))
#s(approx (cos (atan x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (cos (atan x)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x))) x)))
#s(approx (cos (atan x)) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x))) x)))
#s(approx (cos (atan x)) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64))) #s(literal 5/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x)))) x)))
#s(approx (cosh (asinh x)) (neg.f64 x))
#s(approx (cosh (asinh x)) (.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (cosh (asinh x)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (cosh (asinh x)) (.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 x (neg.f64 #s(literal 6 binary64))) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (+ 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x))) x))))
#s(approx (+ 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/32 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))) x))))
#s(approx (* (+ (* (* -11/128 x) x) 1/8) x) (neg.f64 (.f64 (-.f64 #s(literal 11/128 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) #s(literal 1 binary64)) (.f64 x x))) (.f64 (*.f64 x x) x))))
#s(approx (* (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) x) (neg.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 11/128 binary64) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 69/1024 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) x) (neg.f64 (.f64 (-.f64 (-.f64 (/.f64 (.f64 #s(literal 11/128 binary64) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 69/1024 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (pow x 3) (sqrt 1/2))) -1/2) (/ 1/32 (* (* 1/2 (sqrt 1/2)) (* x x)))) (- 1 (sqrt 1/2))) (/ 1/4 (* x (sqrt 1/2)))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/32 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x))) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (pow x 3) (sqrt 1/2))) -1/2) (/ 1/32 (* (* 1/2 (sqrt 1/2)) (* x x)))) (- 1 (sqrt 1/2))) (/ 1/4 (* x (sqrt 1/2)))) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))

eval122.0ms (1.6%)

Memory: -9.3MiB live, 98.3MiB allocated; 32ms collecting garbage
Compiler: Compiled 8 838 to 2 534 computations (71.3% saved)

prune44.0ms (0.6%)

Memory

34.8MiB live, 34.8MiB allocated; 0ms collecting garbage

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	388	6	394
Fresh	2	2	4
Picked	2	3	5
Done	0	7	7
Total	392	18	410

Accuracy

100.0%

Counts

410 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.9%	(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
	51.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
	51.0%	(/.f64 #s(approx (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) 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))))))
✓	77.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
✓	48.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
✓	50.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
✓	50.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(literal 1/2 binary64))))
✓	27.7%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1 binary64)))
✓	11.8%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1/2 binary64)))
	27.5%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	29.1%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
	51.3%	#s(approx (/ (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (+ 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	49.6%	#s(approx (/ (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (+ 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
✓	49.3%	#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
✓	51.0%	#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
✓	49.3%	#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
✓	50.7%	#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
	20.0%	#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) #s(approx (- (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (pow x 3) (sqrt 1/2))) -1/2) (/ 1/32 (* (* 1/2 (sqrt 1/2)) (* x x)))) (- 1 (sqrt 1/2))) (/ 1/4 (* x (sqrt 1/2)))) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) x (/.f64 #s(literal 1/32 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)) (.f64 (*.f64 x x) x))))

Compiler

Compiled 792 to 535 computations (32.4% saved)

regimes102.0ms (1.3%)

Memory

-25.9MiB live, 67.3MiB allocated; 7ms collecting garbage

Counts

29 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (/ (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (+ 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.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 ( x x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (/ (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (+ 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(/.f64 #s(approx (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) 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 (-.f64 #s(literal 1 binary64) #s(approx (+ 1/2 (* (cos (atan x)) 1/2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) #s(approx (- (+ (+ (* (/ (- (* (pow (sqrt 1/2) (neg 4)) 1/64) 1/4) (* (pow x 3) (sqrt 1/2))) -1/2) (/ 1/32 (* (* 1/2 (sqrt 1/2)) (* x x)))) (- 1 (sqrt 1/2))) (/ 1/4 (* x (sqrt 1/2)))) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) x (/.f64 #s(literal 1/32 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)) (.f64 (*.f64 x x) x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(literal 4 binary64))) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/32 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (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 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))))

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

Outputs

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

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

Calls

7 calls:

33.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
15.0ms	x
12.0ms	(hypot.f64 #s(literal 1 binary64) x)
10.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
9.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes62.0ms (0.8%)

Memory

-6.8MiB live, 44.9MiB allocated; 9ms collecting garbage

Counts

23 → 2

Calls

Call 1

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

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

Outputs

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

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

13.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
10.0ms	x
8.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
8.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
8.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
99.3%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.3%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.3%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.3%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.3%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.3%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.3%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes35.0ms (0.5%)

Memory

35.2MiB live, 35.2MiB allocated; 0ms collecting garbage

Counts

21 → 2

Calls

Call 1

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

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

Outputs

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
99.2%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.2%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.2%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.2%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.2%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.2%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.2%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes38.0ms (0.5%)

Memory

-13.9MiB live, 32.3MiB allocated; 4ms collecting garbage

Counts

19 → 2

Calls

Call 1

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

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

Outputs

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

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

Calls

7 calls:

9.0ms	x
6.0ms	(hypot.f64 #s(literal 1 binary64) x)
5.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
4.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
4.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
99.2%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.2%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.2%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.2%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.2%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.2%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.2%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes44.0ms (0.6%)

Memory

14.9MiB live, 55.8MiB allocated; 9ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

12.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
9.0ms	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))))))
4.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
4.0ms	(hypot.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
99.2%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.2%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.2%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.2%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.2%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.2%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.2%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes30.0ms (0.4%)

Memory

8.8MiB live, 55.0MiB allocated; 5ms collecting garbage

Counts

15 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (/ (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (+ 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))

Outputs

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

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

Calls

7 calls:

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))))))
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
98.9%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.9%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.9%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.9%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.9%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.9%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes29.0ms (0.4%)

Memory

-24.3MiB live, 77.6MiB allocated; 7ms collecting garbage

Counts

13 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (/ (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (+ 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))

Outputs

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

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

Calls

7 calls:

8.0ms	x
4.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms	(hypot.f64 #s(literal 1 binary64) x)
3.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
3.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
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)

regimes22.0ms (0.3%)

Memory

4.4MiB live, 51.5MiB allocated; 1ms collecting garbage

Counts

11 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (/ (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (+ 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (- 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

Outputs

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

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

Calls

7 calls:

4.0ms	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)))))
3.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms	(hypot.f64 #s(literal 1 binary64) x)
3.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
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)

regimes22.0ms (0.3%)

Memory

-9.8MiB live, 36.7MiB allocated; 2ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

6.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms	x
3.0ms	(hypot.f64 #s(literal 1 binary64) x)
2.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
2.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
97.8%	2	`(hypot.f64 #s(literal 1 binary64) x)`
97.8%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
97.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
97.8%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
97.8%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
97.8%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
97.8%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes46.0ms (0.6%)

Memory

-15.7MiB live, 32.2MiB allocated; 12ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

10.0ms	(hypot.f64 #s(literal 1 binary64) x)
5.0ms	(/.f64 #s(literal 1 binary64) (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)))
3.0ms	x
2.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
97.6%	2	`(hypot.f64 #s(literal 1 binary64) x)`
97.6%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
97.6%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
97.6%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
97.6%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
97.6%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
97.6%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes14.0ms (0.2%)

Memory

27.5MiB live, 27.5MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes14.0ms (0.2%)

Memory

-21.0MiB live, 25.4MiB allocated; 3ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

7 calls:

4.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
1.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
1.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes8.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #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
36.0%	2	`(hypot.f64 #s(literal 1 binary64) x)`
36.0%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
36.0%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
36.0%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
36.0%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
36.0%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
36.2%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes7.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ 1 (* x x)))) 1/2))) #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
11.8%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
11.8%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
11.8%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
11.8%	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)))))`
11.8%	1	`(hypot.f64 #s(literal 1 binary64) x)`
11.8%	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))))))`
11.8%	1	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch18.0ms (0.2%)

Memory

-23.4MiB live, 22.7MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.006835666857141328	3.94094271630003

Samples

5.0ms	96×	0	valid
5.0ms	32×	1	valid

Compiler

Compiled 324 to 277 computations (14.5% saved)

Precisions

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

ival-hypot: 4.0ms (49.6% of total)

adjust: 1.0ms (12.4% of total)

ival-div!: 1.0ms (12.4% of total)

ival-sqrt: 1.0ms (12.4% of total)

ival-mult!: 1.0ms (12.4% of total)

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

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

bsearch13.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.006835666857141328	3.94094271630003

Samples

6.0ms

112×

valid

Compiler

Compiled 380 to 365 computations (3.9% saved)

Precisions

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

ival-hypot: 2.0ms (48.8% of total)

ival-sqrt: 1.0ms (24.4% of total)

ival-div!: 1.0ms (24.4% 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)

bsearch11.0ms (0.1%)

Memory

-32.3MiB live, 14.3MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.006835666857141328	3.94094271630003

Samples

3.0ms	48×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 276 to 261 computations (5.4% saved)

Precisions

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

ival-hypot: 1.0ms (28.3% of total)

ival-sqrt: 1.0ms (28.3% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

bsearch11.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.006835666857141328	3.94094271630003

Samples

4.0ms	32×	1	valid
3.0ms	48×	0	valid

Compiler

Compiled 252 to 245 computations (2.8% saved)

Precisions

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

ival-hypot: 2.0ms (42.4% of total)

adjust: 1.0ms (21.2% of total)

ival-div!: 1.0ms (21.2% of total)

ival-sqrt: 1.0ms (21.2% of total)

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

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

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

bsearch1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.006835666857141328	3.94094271630003

Compiler

Compiled 252 to 253 computations (-0.4% saved)

bsearch11.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.0018623716034859544	0.003090551587648038

Samples

7.0ms

64×

valid

Compiler

Compiled 120 to 117 computations (2.5% saved)

Precisions

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

ival-hypot: 2.0ms (36% of total)

adjust: 1.0ms (18% of total)

ival-sqrt: 1.0ms (18% of total)

ival-div!: 1.0ms (18% of total)

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

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

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

bsearch1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.006835666857141328	3.94094271630003

Compiler

Compiled 276 to 277 computations (-0.4% saved)

bsearch13.0ms (0.2%)

Memory

-52.6MiB live, 2.0MiB allocated; 18ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.006835666857141328	3.94094271630003

Compiler

Compiled 276 to 285 computations (-3.3% saved)

bsearch3.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.006835666857141328	3.94094271630003

Samples

1.0ms

16×

valid

Compiler

Compiled 252 to 261 computations (-3.6% saved)

Precisions

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

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

bsearch7.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.006835666857141328	3.94094271630003

Samples

4.0ms

64×

valid

Compiler

Compiled 292 to 269 computations (7.9% saved)

Precisions

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

ival-hypot: 1.0ms (43.4% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

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

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.006835666857141328	3.94094271630003

Compiler

Compiled 236 to 245 computations (-3.8% saved)

bsearch30.0ms (0.4%)

Memory

5.8MiB live, 51.6MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

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

Samples

18.0ms

144×

valid

Compiler

Compiled 263 to 274 computations (-4.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-hypot: 6.0ms (42.6% of total)

adjust: 2.0ms (14.2% of total)

ival-sqrt: 2.0ms (14.2% of total)

ival-add!: 1.0ms (7.1% of total)

ival-sub!: 1.0ms (7.1% of total)

ival-div!: 1.0ms (7.1% of total)

ival-mult!: 1.0ms (7.1% of total)

bsearch22.0ms (0.3%)

Memory

-7.9MiB live, 39.2MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.429988538811816e-79	8.334952119991702e-71

Samples

15.0ms

112×

valid

Compiler

Compiled 263 to 274 computations (-4.2% saved)

Precisions

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

ival-hypot: 6.0ms (47.8% of total)

adjust: 2.0ms (15.9% of total)

ival-sqrt: 2.0ms (15.9% of total)

ival-sub!: 1.0ms (8% of total)

ival-div!: 1.0ms (8% of total)

ival-mult!: 1.0ms (8% of total)

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

derivations3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 201 to 114 computations (43.3% saved)

preprocess144.0ms (1.9%)

Memory: 23.8MiB live, 357.3MiB allocated; 20ms collecting garbage
Remove: (abs x)
Compiler: Compiled 1 069 to 891 computations (16.7% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.9s (25%)

preprocess230.0ms (3%)

series13.0ms (0.2%)

rewrite871.0ms (11.4%)

eval28.0ms (0.4%)

prune14.0ms (0.2%)

series13.0ms (0.2%)

rewrite1.3s (17%)

eval24.0ms (0.3%)

prune21.0ms (0.3%)

series12.0ms (0.2%)

rewrite868.0ms (11.4%)

eval20.0ms (0.3%)

prune13.0ms (0.2%)

series37.0ms (0.5%)

rewrite1.3s (17.4%)

eval122.0ms (1.6%)

prune44.0ms (0.6%)

regimes102.0ms (1.3%)

regimes62.0ms (0.8%)

regimes35.0ms (0.5%)

regimes38.0ms (0.5%)

regimes44.0ms (0.6%)

regimes30.0ms (0.4%)

regimes29.0ms (0.4%)

regimes22.0ms (0.3%)

regimes22.0ms (0.3%)

regimes46.0ms (0.6%)

regimes14.0ms (0.2%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch13.0ms (0.2%)

bsearch11.0ms (0.1%)

bsearch11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch13.0ms (0.2%)

bsearch3.0ms (0%)

bsearch7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch30.0ms (0.4%)

bsearch22.0ms (0.3%)

derivations3.0ms (0%)

preprocess144.0ms (1.9%)

end0.0ms (0%)

Profiling