Metrics for Given's Rotation SVD example, simplified

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

sample1.5s (33.6%)

Memory

39.4MiB live, 2 211.5MiB allocated; 265ms collecting garbage

Samples

682.0ms	2 902×	2	valid
340.0ms	4 166×	0	valid
204.0ms	1 188×	1	valid

Precisions

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

ival-hypot: 421.0ms (41.5% of total)

ival-sqrt: 194.0ms (19.1% of total)

adjust: 141.0ms (13.9% of total)

ival-mult!: 92.0ms (9.1% of total)

ival-div!: 89.0ms (8.8% of total)

ival-sub!: 41.0ms (4% of total)

ival-add!: 37.0ms (3.6% of total)

Bogosity

explain195.0ms (4.3%)

Memory

-18.8MiB live, 312.8MiB allocated; 69ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
72	-	-	`(-.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))))))`
0	-	-	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(hypot.f64 #s(literal 1 binary64) x)`
0	-	-	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
0	-	-	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.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))))))`	cancellation	72	0

Confusion

	Predicted +	Predicted -
+	72	0
-	0	184

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	72	0	0
-	0	0	184

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	184
1	72

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

64.0ms	198×	2	valid
26.0ms	244×	0	valid
10.0ms	70×	1	valid

Compiler

Compiled 174 to 31 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-hypot: 41.0ms (58% of total)

adjust: 8.0ms (11.3% of total)

ival-sqrt: 8.0ms (11.3% of total)

ival-div!: 6.0ms (8.5% of total)

ival-mult!: 4.0ms (5.7% of total)

ival-sub!: 3.0ms (4.2% of total)

ival-add!: 2.0ms (2.8% of total)

preprocess221.0ms (4.9%)

Memory

25.2MiB live, 213.8MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	46
1	61	40
2	133	40
3	299	40
4	1248	39
5	6457	39
0	9	12
0	18	12
1	35	10
2	81	10
3	187	10
4	607	10
5	2718	10
0	8125	10

Stop Event

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

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))))))

Outputs

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

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

Symmetry

(abs x)

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(-.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))))))

Compiler

Compiled 12 to 9 computations (25% saved)

series7.0ms (0.2%)

Memory

13.6MiB live, 13.6MiB 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
2.0ms	x	@	0	((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)
2.0ms	x	@	inf	((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)
2.0ms	x	@	-inf	((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)

Time

Variable

Point

Expression

2.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

rewrite164.0ms (3.6%)

Memory

-0.8MiB live, 234.4MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	1700
0	326	1369
1	1998	1336
0	8138	1291

Stop Event

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

Counts

78 → 149

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 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (fabs.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (fabs.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
(pow.f64 (.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) #s(literal -2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
(sqrt.f64 (.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (hypot.f64 #s(literal 1 binary64) x))))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))
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(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (hypot.f64 #s(literal 1 binary64) x)))
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(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(sin.f64 (+.f64 (atan.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(cos.f64 (neg.f64 (atan.f64 x)))
(cos.f64 (atan.f64 (neg.f64 x)))
(cos.f64 (atan.f64 (fabs.f64 x)))
(cos.f64 (atan.f64 x))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1/2 binary64)))
x
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
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#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))
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#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 2 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
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#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(literal 1 binary64))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/16 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(literal 1 binary64))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3/16 binary64) #s(literal 1 binary64)) (+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/16 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 1 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/8 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) x)
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #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 (sqrt (+ (* 1 1) (* x x))) (.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #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 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (pow.f64 #s(literal 1/2 binary64) #s(literal 7/2 binary64))) x)) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x 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 #s(literal -6 binary64)) #s(literal 5/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (neg.f64 x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))

eval19.0ms (0.4%)

Memory: -8.5MiB live, 38.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 533 to 825 computations (76.6% saved)

prune30.0ms (0.7%)

Memory

-28.2MiB live, 32.6MiB allocated; 21ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	139	13	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	140	13	153

Accuracy

75.6%

Counts

153 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
▶	75.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	75.3%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
▶	75.3%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
	74.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.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))))))))
▶	72.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
	48.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
	28.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
	46.8%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
	46.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	29.9%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
	29.9%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
▶	28.9%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 684 to 406 computations (40.6% saved)

series21.0ms (0.5%)

Memory

-10.3MiB live, 37.8MiB allocated; 4ms collecting garbage

Counts

29 → 90

Calls

Call 1

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

Outputs
#s(approx (/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (/ (- 1 (* 1/2 (+ 1 (cos (atan x))))) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (- 1 (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (- 1 (* 1/2 (+ 1 (cos (atan x)))))))
#s(approx (* (+ (cos (atan x)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (cos (atan x))))))
#s(approx (+ (cos (atan x)) 1) #s(hole binary64 (+ 1 (cos (atan x)))))
#s(approx (cos (atan x)) #s(hole binary64 (cos (atan x))))
#s(approx (atan x) #s(hole binary64 (atan x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) #s(hole binary64 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))
#s(approx (sqrt (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan 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 (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 1))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 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 x) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) #s(hole binary64 (- (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))) (* 1/2 (/ (+ 1 (cos (atan x))) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (* 1/2 (/ (+ 1 (cos (atan x))) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan 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 (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/8))))
#s(approx (* 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 (+ (* (* x x) 1/2) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -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
8.0ms	x	@	-inf	((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (* x x) 1/2) (* x x) -1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (- (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))
6.0ms	x	@	0	((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (* x x) 1/2) (* x x) -1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (- (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))
5.0ms	x	@	inf	((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (* x x) 1/2) (* x x) -1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (- (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))

Time

Variable

Point

Expression

8.0ms

-inf

((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (* x x) 1/2) (* x x) -1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (- (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))

6.0ms

((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (* x x) 1/2) (* x x) -1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (- (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))

5.0ms

inf

((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (* x x) 1/2) (* x x) -1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (- (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))

rewrite169.0ms (3.7%)

Memory

8.8MiB live, 237.6MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	387	2574
0	423	2010
1	2403	1866
0	8318	1815

Stop Event

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

Counts

119 → 382

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(cos.f64 (atan.f64 x))
(atan.f64 x)
x
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal -1/4 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (/ (- 1 (* 1/2 (+ 1 (cos (atan x))))) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (- 1 (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (- 1 (* 1/2 (+ 1 (cos (atan x)))))))
#s(approx (* (+ (cos (atan x)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (cos (atan x))))))
#s(approx (+ (cos (atan x)) 1) #s(hole binary64 (+ 1 (cos (atan x)))))
#s(approx (cos (atan x)) #s(hole binary64 (cos (atan x))))
#s(approx (atan x) #s(hole binary64 (atan x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) #s(hole binary64 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))
#s(approx (sqrt (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan 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 (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 1))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 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 x) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) #s(hole binary64 (- (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))) (* 1/2 (/ (+ 1 (cos (atan x))) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (* 1/2 (/ (+ 1 (cos (atan x))) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan 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 (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/8))))
#s(approx (* 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 (+ (* (* x x) 1/2) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -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
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#s(literal 1 binary64)
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(+.f64 (pow.f64 (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(pow.f64 (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log1p.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (neg.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (neg.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)))
(/.f64 (.f64 (neg.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))
(/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (.f64 (+.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (- 1 (* (+ (cos (atan x)) 1) 1/2)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (cos.f64 (atan.f64 x)))
#s(approx (atan x) (atan.f64 x))
#s(approx x x)
#s(approx (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (* x x) 1/2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 2 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/16 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(literal 1 binary64))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/16 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(literal 1 binary64))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
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#s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/2) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
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#s(approx (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (pow.f64 (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3/16 binary64) #s(literal 1 binary64)) (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 #s(literal -1/8 binary64) (.f64 x x)))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/16 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 1 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/8 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) x)
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #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 (sqrt (+ (* 1 1) (* x x))) (.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #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 (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) 1/2) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (pow.f64 #s(literal 1/2 binary64) #s(literal 7/2 binary64))) x)) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x 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 #s(literal -6 binary64)) #s(literal 5/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (neg.f64 x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))

eval92.0ms (2%)

Memory: 5.7MiB live, 150.2MiB allocated; 18ms collecting garbage
Compiler: Compiled 26 652 to 2 625 computations (90.2% saved)

prune24.0ms (0.5%)

Memory

23.8MiB live, 69.9MiB allocated; 2ms collecting garbage

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	749	9	758
Fresh	2	6	8
Picked	3	2	5
Done	0	0	0
Total	754	17	771

Accuracy

75.6%

Counts

771 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	75.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
	47.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
▶	73.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	75.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
▶	75.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	74.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.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))))))))
✓	72.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
	48.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
	46.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 x x))))))))
	28.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
▶	46.8%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
▶	46.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	29.9%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
▶	3.8%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 x x)))))
	29.9%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) #s(literal 1 binary64)))
✓	28.9%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 871 to 546 computations (37.3% saved)

series59.0ms (1.3%)

Memory

-8.4MiB live, 38.1MiB allocated; 3ms collecting garbage

Counts

43 → 231

Calls

Call 1

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

Outputs
#s(approx (/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (/ (- 1 (* 1/2 (+ 1 (cos (atan x))))) (+ 1 (* (sqrt 1/2) (sqrt 2))))))
#s(approx (/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (- (+ (* 1/4 (/ (* (pow x 2) (* (sqrt 1/2) (- 1 (* 1/2 (+ 1 (cos (atan x))))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (* 1/2 (/ (+ 1 (cos (atan x))) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))
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#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 (/ 1/2 x)))
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#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
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#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 x))
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#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 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) #s(hole binary64 (+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* x (+ 1 (sqrt 1/2))))) (* -1/16 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (+ (* -3/32 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2))))))) x)) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))))
#s(approx (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (pow (sqrt (+ (* 1 1) (* x x))) -1) #s(hole binary64 (/ -1 x)))
#s(approx (pow (sqrt (+ (* 1 1) (* x x))) -1) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (pow (sqrt (+ (* 1 1) (* x x))) -1) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (pow (sqrt (+ (* 1 1) (* 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 (+ (* 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)))))))
#s(approx (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x))))))
#s(approx (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))))))
#s(approx (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x))))))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))

Calls

3 calls:

Time	Variable		Point	Expression
41.0ms	x	@	inf	((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (sqrt (/ 1 (+ (* x x) 1))) (/ 1 (+ (* x x) 1)) (+ (* x x) 1) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (- (pow x -2) 1/8) (* x x)) (- (pow x -2) 1/8) (pow x -2) -2 1/8 (* x x) (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) (pow (sqrt (+ (* 1 1) (* x x))) -1) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) -1 (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))
7.0ms	x	@	0	((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (sqrt (/ 1 (+ (* x x) 1))) (/ 1 (+ (* x x) 1)) (+ (* x x) 1) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (- (pow x -2) 1/8) (* x x)) (- (pow x -2) 1/8) (pow x -2) -2 1/8 (* x x) (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) (pow (sqrt (+ (* 1 1) (* x x))) -1) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) -1 (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))
5.0ms	x	@	-inf	((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (sqrt (/ 1 (+ (* x x) 1))) (/ 1 (+ (* x x) 1)) (+ (* x x) 1) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (- (pow x -2) 1/8) (* x x)) (- (pow x -2) 1/8) (pow x -2) -2 1/8 (* x x) (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) (pow (sqrt (+ (* 1 1) (* x x))) -1) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) -1 (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))

Time

Variable

Point

Expression

41.0ms

inf

((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (sqrt (/ 1 (+ (* x x) 1))) (/ 1 (+ (* x x) 1)) (+ (* x x) 1) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (- (pow x -2) 1/8) (* x x)) (- (pow x -2) 1/8) (pow x -2) -2 1/8 (* x x) (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) (pow (sqrt (+ (* 1 1) (* x x))) -1) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) -1 (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))

7.0ms

((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (sqrt (/ 1 (+ (* x x) 1))) (/ 1 (+ (* x x) 1)) (+ (* x x) 1) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (- (pow x -2) 1/8) (* x x)) (- (pow x -2) 1/8) (pow x -2) -2 1/8 (* x x) (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) (pow (sqrt (+ (* 1 1) (* x x))) -1) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) -1 (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))

5.0ms

-inf

((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (sqrt (/ 1 (+ (* x x) 1))) (/ 1 (+ (* x x) 1)) (+ (* x x) 1) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (- (pow x -2) 1/8) (* x x)) (- (pow x -2) 1/8) (pow x -2) -2 1/8 (* x x) (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) (pow (sqrt (+ (* 1 1) (* x x))) -1) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) -1 (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))

rewrite91.0ms (2%)

Memory

-20.7MiB live, 124.5MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	851	8898
0	897	8746

Stop Event

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

Counts

274 → 276

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(cos.f64 (atan.f64 x))
(atan.f64 x)
x
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 x x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 x x))))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 x x)))
(.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 x x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1/8 binary64)
(*.f64 x x)
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#s(approx (pow (sqrt (+ (* 1 1) (* x x))) -1) #s(hole binary64 (/ 1 x)))
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#s(approx (pow (sqrt (+ (* 1 1) (* 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 (+ (* 1 1) (* x x))) #s(hole binary64 x))
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#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))))))
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#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 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) #s(hole binary64 (+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* x (+ 1 (sqrt 1/2))))) (* -1/16 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (+ (* -3/32 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2))))))) x)) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))))
#s(approx (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (pow (sqrt (+ (* 1 1) (* x x))) -1) #s(hole binary64 (/ -1 x)))
#s(approx (pow (sqrt (+ (* 1 1) (* x x))) -1) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (pow (sqrt (+ (* 1 1) (* x x))) -1) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (pow (sqrt (+ (* 1 1) (* 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 (+ (* 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)))))))
#s(approx (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x))))))
#s(approx (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))))))
#s(approx (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x))))))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))

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

eval84.0ms (1.8%)

Memory: 33.1MiB live, 79.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 18 792 to 1 633 computations (91.3% saved)

prune647.0ms (14.2%)

Memory

-147.0MiB live, 114.0MiB allocated; 1.1s collecting garbage

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	368	10	378
Fresh	4	6	10
Picked	2	3	5
Done	0	2	2
Total	374	21	395

Accuracy

100.0%

Counts

395 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
▶	75.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	28.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))))
	74.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))))
▶	54.3%	(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	52.9%	(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	47.6%	(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
▶	74.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.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))))))))
✓	72.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
	28.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
✓	46.8%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
✓	46.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	29.9%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
✓	3.8%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 x x)))))
	2.6%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 #s(approx (- (pow x -2) 1/8) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 x x)))))
▶	47.1%	#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
	47.6%	#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
	54.4%	#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
	54.4%	#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
	29.9%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) #s(literal 1 binary64)))
✓	28.9%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 1 622 to 897 computations (44.7% saved)

series28.0ms (0.6%)

Memory

16.3MiB live, 62.2MiB allocated; 4ms collecting garbage

Counts

57 → 291

Calls

Call 1

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

Outputs
#s(approx (/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (* 1/4 (/ (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))))
#s(approx (/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (* (pow x 2) (+ (* -3/16 (/ (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))))))
#s(approx (/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* 5/32 (/ (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))))))
#s(approx (/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -35/256 (/ (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))) (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))))))
#s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))))
#s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))))
#s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))))
#s(approx (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) #s(hole binary64 1))
#s(approx (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ (sqrt (/ 1 (+ (* x x) 1))) 1) #s(hole binary64 2))
#s(approx (+ (sqrt (/ 1 (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (sqrt (/ 1 (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ (sqrt (/ 1 (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (sqrt (/ 1 (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (sqrt (/ 1 (+ (* x x) 1))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (/ 1 (+ (* x x) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (/ 1 (+ (* x x) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (pow x 2) 1)))))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))))
#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 (* (+ (cos (atan x)) 1) 1/2))) #s(hole binary64 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))
#s(approx (sqrt (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))
#s(approx (* (+ (cos (atan x)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (cos (atan x))))))
#s(approx (+ (cos (atan x)) 1) #s(hole binary64 (+ 1 (cos (atan x)))))
#s(approx (cos (atan x)) #s(hole binary64 (cos (atan x))))
#s(approx (atan x) #s(hole binary64 (atan 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 (+ (* (* x x) -1/8) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/8) 1) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #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 (+ (* x x) 1))))))) #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 (+ (* x x) 1))))))) #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 (+ (* x x) 1)))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #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 (+ (* x x) 1)))))) #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 (+ (* x x) 1)))))) #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 (+ (* x x) 1))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#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 (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) #s(hole binary64 (* 1/4 (/ (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) #s(hole binary64 (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/4 (/ (* (sqrt 1/2) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/8 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 35/256 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))) (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (+ (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) #s(hole binary64 (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x))))
#s(approx (+ (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) #s(hole binary64 (/ (+ (* -1 (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* 1/2 (/ x (+ 1 (sqrt 1/2))))) x)))
#s(approx (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x) #s(hole binary64 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))))
#s(approx (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))))
#s(approx (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))))
#s(approx (pow x 2) #s(hole binary64 (pow x 2)))
#s(approx (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))) #s(hole binary64 1/4))
#s(approx (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))) #s(hole binary64 (+ 1/4 (* -3/16 (pow x 2)))))
#s(approx (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))))
#s(approx (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)) #s(hole binary64 (* -3/16 (pow x 2))))
#s(approx (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)) #s(hole binary64 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))
#s(approx (- (* 5/32 (pow x 2)) 3/16) #s(hole binary64 -3/16))
#s(approx (- (* 5/32 (pow x 2)) 3/16) #s(hole binary64 (- (* 5/32 (pow x 2)) 3/16)))
#s(approx (* 5/32 (pow x 2)) #s(hole binary64 (* 5/32 (pow x 2))))
#s(approx (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) #s(hole binary64 (+ 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) #s(hole binary64 (+ 1 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))))))
#s(approx (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) #s(hole binary64 (+ 1 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))))))
#s(approx (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) #s(hole binary64 (+ 1 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))))))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) #s(hole binary64 1))
#s(approx (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) #s(hole binary64 2))
#s(approx (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (pow (sqrt (+ (* 1 1) (* x x))) -1) #s(hole binary64 1))
#s(approx (pow (sqrt (+ (* 1 1) (* x x))) -1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (pow (sqrt (+ (* 1 1) (* x x))) -1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (pow (sqrt (+ (* 1 1) (* 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 (+ (* 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 x) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (/ 1/2 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (- (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))) (* 1/2 (/ 1 (* x (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))))))
#s(approx (/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (- (+ (/ 1/4 (* (pow x 3) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))) (/ 1/2 (* x (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))))
#s(approx (/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (- (+ (* 1/4 (/ 1 (* (pow x 3) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))) (+ (/ 1/2 (* x (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))) (* 3/16 (/ 1 (* (pow x 5) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))))))
#s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 1/2))
#s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))))
#s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))))
#s(approx (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) #s(hole binary64 1/2))
#s(approx (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ (sqrt (/ 1 (+ (* x x) 1))) 1) #s(hole binary64 1))
#s(approx (+ (sqrt (/ 1 (+ (* x x) 1))) 1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ (sqrt (/ 1 (+ (* x x) 1))) 1) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ (sqrt (/ 1 (+ (* x x) 1))) 1) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (sqrt (/ 1 (+ (* x x) 1))) #s(hole binary64 (/ 1 x)))
#s(approx (sqrt (/ 1 (+ (* x x) 1))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (sqrt (/ 1 (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (sqrt (/ 1 (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))))
#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 (/ 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 (+ (* (* x x) -1/8) 1) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (* x x) -1/8) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/8))))
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#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #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 (+ (* x x) 1))))))) #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 (+ (* x x) 1)))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #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 (+ (* x x) 1)))))) #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 (+ (* x x) 1))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #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 (+ (* x x) 1)))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ 1 (/ 1 x))))
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#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x))
#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 (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) #s(hole binary64 (/ 1/2 (+ 1 (sqrt 1/2)))))
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#s(approx (+ (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) #s(hole binary64 (/ 1/2 (+ 1 (sqrt 1/2)))))
#s(approx (+ (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 1/2))
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#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))))
#s(approx (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) #s(hole binary64 (* 5/32 (pow x 6))))
#s(approx (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) #s(hole binary64 (* (pow x 6) (- 5/32 (* 3/16 (/ 1 (pow x 2)))))))
#s(approx (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) #s(hole binary64 (* (pow x 6) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2)))))))
#s(approx (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))) #s(hole binary64 (* 5/32 (pow x 4))))
#s(approx (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))) #s(hole binary64 (* (pow x 4) (- 5/32 (* 3/16 (/ 1 (pow x 2)))))))
#s(approx (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))) #s(hole binary64 (* (pow x 4) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2)))))))
#s(approx (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)) #s(hole binary64 (* 5/32 (pow x 4))))
#s(approx (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)) #s(hole binary64 (* (pow x 4) (- 5/32 (* 3/16 (/ 1 (pow x 2)))))))
#s(approx (- (* 5/32 (pow x 2)) 3/16) #s(hole binary64 (* 5/32 (pow x 2))))
#s(approx (- (* 5/32 (pow x 2)) 3/16) #s(hole binary64 (* (pow x 2) (- 5/32 (* 3/16 (/ 1 (pow x 2)))))))
#s(approx (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) #s(hole binary64 (+ 1 (sqrt 1/2))))
#s(approx (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) #s(hole binary64 1/2))
#s(approx (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) #s(hole binary64 1))
#s(approx (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (pow (sqrt (+ (* 1 1) (* x x))) -1) #s(hole binary64 (/ 1 x)))
#s(approx (pow (sqrt (+ (* 1 1) (* x x))) -1) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (pow (sqrt (+ (* 1 1) (* x x))) -1) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (pow (sqrt (+ (* 1 1) (* 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 (+ (* 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 (+ (* (* x x) 1/2) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))))
#s(approx (/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (+ (* 1/2 (/ 1 (* x (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))))
#s(approx (/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (+ (* -1 (/ (- (* 1/4 (/ 1 (* (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))) x)) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))))
#s(approx (/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (+ (* -1 (/ (- (/ 1/4 (* (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))) (+ (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))) (/ 3/16 (* (pow x 4) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))) x)) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))))
#s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))))
#s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))))
#s(approx (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ (sqrt (/ 1 (+ (* x x) 1))) 1) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ (sqrt (/ 1 (+ (* x x) 1))) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ (sqrt (/ 1 (+ (* x x) 1))) 1) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (sqrt (/ 1 (+ (* x x) 1))) #s(hole binary64 (/ -1 x)))
#s(approx (sqrt (/ 1 (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (sqrt (/ 1 (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (sqrt (/ 1 (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (- 1 (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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #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 (+ (* x x) 1))))))) #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))))
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#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
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#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) #s(hole binary64 (- 1 (/ 1 x))))
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#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1 x)))
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#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) #s(hole binary64 (+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* x (+ 1 (sqrt 1/2))))) (* -1/16 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (+ (* -3/32 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2))))))) x)) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))))
#s(approx (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x))))))
#s(approx (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))))))
#s(approx (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x))))))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (pow (sqrt (+ (* 1 1) (* x x))) -1) #s(hole binary64 (/ -1 x)))
#s(approx (pow (sqrt (+ (* 1 1) (* x x))) -1) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (pow (sqrt (+ (* 1 1) (* x x))) -1) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (pow (sqrt (+ (* 1 1) (* 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 (+ (* 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
7.0ms	x	@	inf	((/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (sqrt (/ 1 (+ (* x x) 1))) (/ 1 (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) -1/8) 1) (* x x) -1/8 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (+ (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)) (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2) (+ 1 (sqrt 1/2)) 2 (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (/ 1 (+ 1 (sqrt 1/2))) (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))) (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)) (- (* 5/32 (pow x 2)) 3/16) (* 5/32 (pow x 2)) 5/32 3/16 (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) (pow (sqrt (+ (* 1 1) (* x x))) -1) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1))
7.0ms	x	@	-inf	((/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (sqrt (/ 1 (+ (* x x) 1))) (/ 1 (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) -1/8) 1) (* x x) -1/8 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (+ (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)) (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2) (+ 1 (sqrt 1/2)) 2 (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (/ 1 (+ 1 (sqrt 1/2))) (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))) (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)) (- (* 5/32 (pow x 2)) 3/16) (* 5/32 (pow x 2)) 5/32 3/16 (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) (pow (sqrt (+ (* 1 1) (* x x))) -1) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1))
7.0ms	x	@	0	((/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (sqrt (/ 1 (+ (* x x) 1))) (/ 1 (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) -1/8) 1) (* x x) -1/8 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (+ (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)) (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2) (+ 1 (sqrt 1/2)) 2 (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (/ 1 (+ 1 (sqrt 1/2))) (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))) (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)) (- (* 5/32 (pow x 2)) 3/16) (* 5/32 (pow x 2)) 5/32 3/16 (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) (pow (sqrt (+ (* 1 1) (* x x))) -1) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1))

Time

Variable

Point

Expression

7.0ms

inf

((/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (sqrt (/ 1 (+ (* x x) 1))) (/ 1 (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) -1/8) 1) (* x x) -1/8 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (+ (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)) (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2) (+ 1 (sqrt 1/2)) 2 (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (/ 1 (+ 1 (sqrt 1/2))) (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))) (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)) (- (* 5/32 (pow x 2)) 3/16) (* 5/32 (pow x 2)) 5/32 3/16 (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) (pow (sqrt (+ (* 1 1) (* x x))) -1) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1))

7.0ms

-inf

((/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (sqrt (/ 1 (+ (* x x) 1))) (/ 1 (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) -1/8) 1) (* x x) -1/8 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (+ (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)) (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2) (+ 1 (sqrt 1/2)) 2 (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (/ 1 (+ 1 (sqrt 1/2))) (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))) (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)) (- (* 5/32 (pow x 2)) 3/16) (* 5/32 (pow x 2)) 5/32 3/16 (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) (pow (sqrt (+ (* 1 1) (* x x))) -1) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1))

7.0ms

((/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (sqrt (/ 1 (+ (* x x) 1))) (/ 1 (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) -1/8) 1) (* x x) -1/8 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (+ (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)) (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2) (+ 1 (sqrt 1/2)) 2 (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (/ 1 (+ 1 (sqrt 1/2))) (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))) (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)) (- (* 5/32 (pow x 2)) 3/16) (* 5/32 (pow x 2)) 5/32 3/16 (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) (pow (sqrt (+ (* 1 1) (* x x))) -1) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1))

rewrite98.0ms (2.2%)

Memory

12.2MiB live, 155.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	882	9885
0	959	9775

Stop Event

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

Counts

348 → 353

Calls

Call 1

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

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
x
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(cos.f64 (atan.f64 x))
(atan.f64 x)
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/8 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 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 #s(literal 1 binary64) (/.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))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
#s(literal -1 binary64)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x)
(fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
#s(literal 1/4 binary64)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64)))
(-.f64 (*.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64))
(*.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 5/32 binary64)
#s(literal 3/16 binary64)
(+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))))
#s(approx (/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))))))
#s(approx (/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))))))
#s(approx (/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -35/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))) (.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))))))
#s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64))))))
#s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/32 binary64) (.f64 #s(literal -35/256 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/16 binary64))))))
#s(approx (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) #s(literal 1 binary64))
#s(approx (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (+ (sqrt (/ 1 (+ (* x x) 1))) 1) #s(literal 2 binary64))
#s(approx (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ 1 (+ (* x x) 1))) #s(literal 1 binary64))
#s(approx (sqrt (/ 1 (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (/ 1 (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ 1 (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (+ (* x x) 1)) #s(literal 1 binary64))
#s(approx (/ 1 (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1 (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx x x)
#s(approx (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
#s(approx (sqrt (* (+ (cos (atan x)) 1) 1/2)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))
#s(approx (* (+ (cos (atan x)) 1) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
#s(approx (+ (cos (atan x)) 1) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))
#s(approx (cos (atan x)) (cos.f64 (atan.f64 x)))
#s(approx (atan x) (atan.f64 x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 5/16 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
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#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))))
#s(approx (+ (* (* x x) -1/8) 1) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* x x) -1/8) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))
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#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) #s(literal 1 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
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#s(approx (/ 1 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) (/.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 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
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#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal -3/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))))))))
#s(approx (+ (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (+ (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(literal 1/2 binary64))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
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#s(approx (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))) (*.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/32 binary64) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
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#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))
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#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal -3/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) x)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))))
#s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))))) x))))
#s(approx (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))
#s(approx (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)))))
#s(approx (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)))))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))))
#s(approx (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))))
#s(approx (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
#s(approx (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.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 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
#s(approx (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
#s(approx (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.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 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
#s(approx (pow (sqrt (+ (* 1 1) (* x x))) -1) (/.f64 #s(literal -1 binary64) x))
#s(approx (pow (sqrt (+ (* 1 1) (* x x))) -1) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (pow (sqrt (+ (* 1 1) (* x x))) -1) (.f64 #s(literal -1 binary64) (/.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 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (pow (sqrt (+ (* 1 1) (* x x))) -1) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))

eval103.0ms (2.3%)

Memory: -3.0MiB live, 92.2MiB allocated; 9ms collecting garbage
Compiler: Compiled 21 403 to 1 762 computations (91.8% saved)

prune30.0ms (0.7%)

Memory

8.9MiB live, 56.3MiB allocated; 1ms collecting garbage

Pruning

23 alts after pruning (13 fresh and 10 done)

	Pruned	Kept	Total
New	424	4	428
Fresh	2	9	11
Picked	0	5	5
Done	0	5	5
Total	426	23	449

Accuracy

100.0%

Counts

449 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
✓	75.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	28.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))))
	74.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))))
✓	54.3%	(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	52.6%	(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))))
	52.9%	(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(approx (- (* 5/32 (pow x 2)) 3/16) #s(literal -3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	47.6%	(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	47.3%	(/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	54.3%	(/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
✓	74.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.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))))))))
✓	72.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
	28.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
✓	46.8%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
✓	46.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
✓	29.9%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
✓	3.8%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 x x)))))
	2.6%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 #s(approx (- (pow x -2) 1/8) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 x x)))))
✓	47.1%	#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
	47.6%	#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
	54.4%	#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
	29.9%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) #s(literal 1 binary64)))
✓	28.9%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 2 267 to 801 computations (64.7% saved)

regimes64.0ms (1.4%)

Memory

19.2MiB live, 110.9MiB allocated; 6ms collecting garbage

Counts

37 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 #s(approx (- (pow x -2) 1/8) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 x x))))))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(approx (- (* 5/32 (pow x 2)) 3/16) #s(literal -3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))

Outputs

(/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))

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

Calls

7 calls:

10.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
9.0ms	x
9.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
7.0ms	(hypot.f64 #s(literal 1 binary64) x)
7.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes51.0ms (1.1%)

Memory

-36.7MiB live, 107.0MiB allocated; 8ms collecting garbage

Counts

30 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 #s(approx (- (pow x -2) 1/8) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 x x))))))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(approx (- (* 5/32 (pow x 2)) 3/16) #s(literal -3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))

Outputs

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes57.0ms (1.2%)

Memory

4.7MiB live, 102.4MiB allocated; 23ms collecting garbage

Counts

29 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 #s(approx (- (pow x -2) 1/8) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 x x))))))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(approx (- (* 5/32 (pow x 2)) 3/16) #s(literal -3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))))

Outputs

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

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

Calls

7 calls:

15.0ms	(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)))))
7.0ms	x
7.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
6.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes47.0ms (1%)

Memory

23.2MiB live, 116.6MiB allocated; 5ms collecting garbage

Counts

28 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 #s(approx (- (pow x -2) 1/8) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 x x))))))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(approx (- (* 5/32 (pow x 2)) 3/16) #s(literal -3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))

Outputs

(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes82.0ms (1.8%)

Memory

-35.7MiB live, 61.8MiB allocated; 4ms collecting garbage

Counts

24 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 #s(approx (- (pow x -2) 1/8) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 x x))))))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))))

Outputs

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

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

Calls

7 calls:

46.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
7.0ms	(hypot.f64 #s(literal 1 binary64) x)
6.0ms	x
6.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
5.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes36.0ms (0.8%)

Memory

25.9MiB live, 71.7MiB allocated; 2ms collecting garbage

Counts

21 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 #s(approx (- (pow x -2) 1/8) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(/.f64 #s(approx (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 x x))))))))
#s(approx (/ (- 1 (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)) (+ 1 (sqrt (* (+ (pow (sqrt (+ (* 1 1) (* x x))) -1) 1) 1/2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))

Outputs

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes29.0ms (0.6%)

Memory

19.9MiB live, 66.5MiB allocated; 2ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

Outputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.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))))))))

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
74.6%	1	`(hypot.f64 #s(literal 1 binary64) x)`
74.6%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
74.6%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
74.6%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
74.6%	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)))))`
74.6%	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))))))`
74.6%	1	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes21.0ms (0.5%)

Memory

2.1MiB live, 48.8MiB allocated; 3ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
72.5%	1	`(hypot.f64 #s(literal 1 binary64) x)`
72.5%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
72.5%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
72.5%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
72.5%	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)))))`
72.5%	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))))))`
72.5%	1	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes22.0ms (0.5%)

Memory

-3.2MiB live, 46.2MiB allocated; 5ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

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

(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))

Calls

7 calls:

7.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms	(hypot.f64 #s(literal 1 binary64) x)
2.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
2.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
73.6%	2	`(hypot.f64 #s(literal 1 binary64) x)`
73.6%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
73.6%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
73.6%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
73.6%	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)))))`
73.6%	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))))))`
73.6%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes20.0ms (0.4%)

Memory

-36.9MiB live, 56.9MiB allocated; 4ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

4.0ms	(sqrt.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	(hypot.f64 #s(literal 1 binary64) x)
3.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms	(*.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
73.5%	2	`(hypot.f64 #s(literal 1 binary64) x)`
73.5%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
73.5%	2	`x`
73.5%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
73.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
73.5%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
73.5%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes15.0ms (0.3%)

Memory

33.4MiB live, 33.4MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

2.0ms	x
2.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms	(hypot.f64 #s(literal 1 binary64) x)
2.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
2.0ms	(sqrt.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
73.2%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
73.2%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
73.2%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
73.2%	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)))))`
73.2%	2	`(hypot.f64 #s(literal 1 binary64) x)`
73.2%	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))))))`
73.2%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes15.0ms (0.3%)

Memory

-13.0MiB live, 34.3MiB allocated; 1ms collecting garbage

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))

Outputs

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
72.5%	2	`(hypot.f64 #s(literal 1 binary64) x)`
72.5%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
72.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
72.5%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
72.5%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
72.5%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
72.5%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes7.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
28.9%	1	`(hypot.f64 #s(literal 1 binary64) x)`
28.9%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
28.9%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
28.9%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
28.9%	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)))))`
28.9%	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))))))`
28.9%	1	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch19.0ms (0.4%)

Memory

-13.2MiB live, 37.2MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.002137536833074534	0.12942526687228076

Samples

9.0ms	64×	1	valid
3.0ms	48×	0	valid

Compiler

Compiled 489 to 349 computations (28.6% saved)

Precisions

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

ival-hypot: 3.0ms (31.5% of total)

ival-div!: 2.0ms (21% of total)

adjust: 1.0ms (10.5% of total)

ival-sqrt: 1.0ms (10.5% of total)

ival-mult!: 1.0ms (10.5% of total)

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

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

bsearch30.0ms (0.7%)

Memory

-26.5MiB live, 20.5MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	0.002137536833074534	0.12942526687228076

Samples

24.0ms

80×

valid

Compiler

Compiled 601 to 384 computations (36.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sqrt: 16.0ms (71.6% of total)

ival-hypot: 3.0ms (13.4% of total)

adjust: 1.0ms (4.5% of total)

ival-div!: 1.0ms (4.5% of total)

ival-mult!: 1.0ms (4.5% of total)

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

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

bsearch12.0ms (0.3%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.002137536833074534	0.12942526687228076

Samples

7.0ms

64×

valid

Compiler

Compiled 608 to 356 computations (41.4% saved)

Precisions

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

ival-hypot: 2.0ms (34.9% of total)

adjust: 1.0ms (17.5% of total)

ival-sqrt: 1.0ms (17.5% of total)

ival-div!: 1.0ms (17.5% of total)

ival-mult!: 1.0ms (17.5% of total)

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

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

bsearch10.0ms (0.2%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.002137536833074534	0.12942526687228076

Samples

6.0ms

48×

valid

Compiler

Compiled 559 to 363 computations (35.1% saved)

Precisions

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

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

adjust: 1.0ms (22.7% of total)

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

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

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

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

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

bsearch27.0ms (0.6%)

Memory

-5.1MiB live, 41.7MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	8.509628347957614e-12	0.002137536833074534

Samples

18.0ms

144×

valid

Compiler

Compiled 668 to 418 computations (37.4% saved)

Precisions

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

ival-hypot: 5.0ms (38.5% of total)

adjust: 3.0ms (23.1% of total)

ival-sqrt: 2.0ms (15.4% of total)

ival-sub!: 1.0ms (7.7% of total)

ival-add!: 1.0ms (7.7% of total)

ival-div!: 1.0ms (7.7% of total)

ival-mult!: 1.0ms (7.7% of total)

bsearch2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.509628347957614e-12	0.002137536833074534

Compiler

Compiled 578 to 364 computations (37% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.7075482861835609	0.9358351465997575

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch16.0ms (0.4%)

Memory

-18.9MiB live, 27.5MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.8776874751328755	800.5408215730705

Samples

7.0ms

128×

valid

Compiler

Compiled 420 to 317 computations (24.5% saved)

Precisions

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

ival-hypot: 2.0ms (42.1% of total)

ival-sqrt: 1.0ms (21% of total)

ival-div!: 1.0ms (21% of total)

ival-mult!: 1.0ms (21% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch34.0ms (0.7%)

Memory

3.4MiB live, 54.1MiB allocated; 13ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	4.800395742312793e-83	6.421691391552074e-77

Samples

19.0ms

144×

valid

Compiler

Compiled 560 to 346 computations (38.2% saved)

Precisions

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

ival-hypot: 7.0ms (46.3% of total)

adjust: 2.0ms (13.2% of total)

ival-sqrt: 2.0ms (13.2% of total)

ival-add!: 1.0ms (6.6% of total)

ival-sub!: 1.0ms (6.6% of total)

ival-div!: 1.0ms (6.6% of total)

ival-mult!: 1.0ms (6.6% of total)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.800395742312793e-83	6.421691391552074e-77

Compiler

Compiled 362 to 292 computations (19.3% saved)

derivations238.0ms (5.2%)

Memory

-9.6MiB live, 275.3MiB allocated; 11ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 752 to 152 computations (79.8% saved)

preprocess80.0ms (1.7%)

Memory: 24.2MiB live, 165.5MiB allocated; 10ms collecting garbage
Remove: (abs x)
Compiler: Compiled 3 032 to 1 170 computations (61.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (33.6%)

explain195.0ms (4.3%)

preprocess221.0ms (4.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series7.0ms (0.2%)

rewrite164.0ms (3.6%)

eval19.0ms (0.4%)

prune30.0ms (0.7%)

series21.0ms (0.5%)

rewrite169.0ms (3.7%)

eval92.0ms (2%)

prune24.0ms (0.5%)

series59.0ms (1.3%)

rewrite91.0ms (2%)

eval84.0ms (1.8%)

prune647.0ms (14.2%)

series28.0ms (0.6%)

rewrite98.0ms (2.2%)

eval103.0ms (2.3%)

prune30.0ms (0.7%)

regimes64.0ms (1.4%)

regimes51.0ms (1.1%)

regimes57.0ms (1.2%)

regimes47.0ms (1%)

regimes82.0ms (1.8%)

regimes36.0ms (0.8%)

regimes29.0ms (0.6%)

regimes21.0ms (0.5%)

regimes22.0ms (0.5%)

regimes20.0ms (0.4%)

regimes15.0ms (0.3%)

regimes15.0ms (0.3%)

regimes7.0ms (0.1%)

bsearch19.0ms (0.4%)

bsearch30.0ms (0.7%)

bsearch12.0ms (0.3%)

bsearch10.0ms (0.2%)

bsearch27.0ms (0.6%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.4%)

bsearch34.0ms (0.7%)

bsearch1.0ms (0%)

derivations238.0ms (5.2%)

preprocess80.0ms (1.7%)

end0.0ms (0%)

Profiling