Metrics for Given's Rotation SVD example, simplified

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample3.1s (31.9%)

Memory

96.5MiB live, 2 522.3MiB allocated; 642ms collecting garbage

Samples

1.6s	2 872×	2	valid
526.0ms	4 208×	0	valid
403.0ms	1 176×	1	valid

Precisions

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

ival-hypot: 732.0ms (35.9% of total)

adjust: 434.0ms (21.3% of total)

ival-sqrt: 199.0ms (9.8% of total)

ival-div: 188.0ms (9.2% of total)

ival-sub: 161.0ms (7.9% of total)

ival-mult: 160.0ms (7.8% of total)

ival-add: 150.0ms (7.4% of total)

exact: 13.0ms (0.6% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain394.0ms (4.1%)

Memory

-39.3MiB live, 271.4MiB allocated; 218ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
73	-	-	`(-.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	73	0

Confusion

	Predicted +	Predicted -
+	73	0
-	0	183

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	73	0	0
-	0	0	183

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	183
1	73

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

196.0ms	190×	2	valid
34.0ms	254×	0	valid
20.0ms	68×	1	valid

Compiler

Compiled 174 to 31 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-hypot: 36.0ms (34.5% of total)

adjust: 19.0ms (18.2% of total)

ival-div: 11.0ms (10.6% of total)

ival-sqrt: 11.0ms (10.6% of total)

ival-mult: 9.0ms (8.6% of total)

ival-sub: 8.0ms (7.7% of total)

ival-add: 7.0ms (6.7% of total)

ival-true: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

preprocess411.0ms (4.2%)

Memory

29.2MiB live, 166.8MiB allocated; 22ms 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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Compiler

Compiled 12 to 9 computations (25% saved)

series12.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Counts

9 → 69

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)
3.0ms	x	@	inf	((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)
3.0ms	x	@	-inf	((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)

Time

Variable

Point

Expression

4.0ms

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

3.0ms

inf

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

3.0ms

-inf

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

rewrite400.0ms (4.1%)

Memory

14.3MiB live, 198.1MiB allocated; 39ms 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)))))
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(/.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)))
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(cos.f64 (atan.f64 (fabs.f64 x)))
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(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))
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(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)))
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#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 2 binary64))
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#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(literal 1 binary64))
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#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)))
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#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))))))

eval45.0ms (0.5%)

Memory: -17.2MiB live, 33.2MiB allocated; 18ms collecting garbage
Compiler: Compiled 3 533 to 825 computations (76.6% saved)

prune30.0ms (0.3%)

Memory

-25.7MiB live, 20.0MiB allocated; 14ms collecting garbage

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	141	11	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	11	153

Accuracy

74.9%

Counts

153 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.7%	(/.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)))))))
	74.6%	(/.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)))))
	74.6%	(-.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))))))))
▶	73.9%	(-.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))))))))
	50.4%	(-.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)))))))
	25.7%	(-.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)))))
▶	49.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
	49.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	27.3%	(-.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))))
▶	27.2%	#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)))
▶	25.8%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 574 to 350 computations (39% saved)

series35.0ms (0.4%)

Memory

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

Counts

35 → 129

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	((/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))) (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 3/2 (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 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)))))))) (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (+ (* (* (* x x) 1/2) 1/4) 1) (* (* x x) 1/2) (* x x) 1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (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 (+ (* 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)) (+ (* x x) 1))
9.0ms	x	@	-inf	((/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))) (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 3/2 (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 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)))))))) (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (+ (* (* (* x x) 1/2) 1/4) 1) (* (* x x) 1/2) (* x x) 1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (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 (+ (* 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)) (+ (* x x) 1))
9.0ms	x	@	inf	((/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))) (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 3/2 (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 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)))))))) (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (+ (* (* (* x x) 1/2) 1/4) 1) (* (* x x) 1/2) (* x x) 1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (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 (+ (* 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)) (+ (* x x) 1))

Time

Variable

Point

Expression

12.0ms

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

9.0ms

-inf

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

9.0ms

inf

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

rewrite366.0ms (3.8%)

Memory

-11.5MiB live, 264.6MiB allocated; 81ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	447	3664
0	492	2794
1	2564	2653
0	8672	2573

Stop Event

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

Counts

164 → 568

Calls

Call 1

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

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

eval138.0ms (1.4%)

Memory: -3.6MiB live, 140.5MiB allocated; 33ms collecting garbage
Compiler: Compiled 18 966 to 2 664 computations (86% saved)

prune38.0ms (0.4%)

Memory

8.6MiB live, 55.7MiB allocated; 3ms collecting garbage

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	543	13	556
Fresh	6	0	6
Picked	2	3	5
Done	0	0	0
Total	551	16	567

Accuracy

99.5%

Counts

567 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #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)))))))
	74.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.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)) #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)))))))
	74.7%	(/.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 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
▶	50.4%	(/.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 (-.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)))))))
▶	74.7%	(/.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 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
	49.7%	(/.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) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))))
▶	74.6%	(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
	49.9%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.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 (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
✓	73.9%	(-.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))))))))
▶	25.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
	49.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))
✓	49.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
	52.0%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
	27.2%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
▶	52.1%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
✓	25.8%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 916 to 533 computations (41.8% saved)

series57.0ms (0.6%)

Memory

3.9MiB live, 54.6MiB allocated; 11ms collecting garbage

Counts

45 → 85

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
20.0ms	x	@	inf	((/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (sqrt (+ (cos (atan x)) 1)) (sqrt 1/2)) (+ 1/2 (* (cos (atan x)) 1/2))))) (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 3/2 (+ 1 (+ (* (sqrt (+ (cos (atan x)) 1)) (sqrt 1/2)) (+ 1/2 (* (cos (atan x)) 1/2)))) (+ (* (sqrt (+ (cos (atan x)) 1)) (sqrt 1/2)) (+ 1/2 (* (cos (atan x)) 1/2))) (sqrt (+ (cos (atan x)) 1)) (sqrt 1/2) (+ 1/2 (* (cos (atan x)) 1/2)) (* (cos (atan x)) 1/2) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (* (* x x) 1/8) (* 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))))) (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (- (* 3/16 (* x x)) 1/4) (* 3/16 (* x x)) 3/16 1/4 (/ (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (+ 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2))))) (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (+ 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2))))) (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2))) (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)) (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2) (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) (- (pow (cos (atan x)) 2) 1) (pow (cos (atan x)) 2) 2 (- (cos (atan x)) 1))
18.0ms	x	@	0	((/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (sqrt (+ (cos (atan x)) 1)) (sqrt 1/2)) (+ 1/2 (* (cos (atan x)) 1/2))))) (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 3/2 (+ 1 (+ (* (sqrt (+ (cos (atan x)) 1)) (sqrt 1/2)) (+ 1/2 (* (cos (atan x)) 1/2)))) (+ (* (sqrt (+ (cos (atan x)) 1)) (sqrt 1/2)) (+ 1/2 (* (cos (atan x)) 1/2))) (sqrt (+ (cos (atan x)) 1)) (sqrt 1/2) (+ 1/2 (* (cos (atan x)) 1/2)) (* (cos (atan x)) 1/2) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (* (* x x) 1/8) (* 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))))) (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (- (* 3/16 (* x x)) 1/4) (* 3/16 (* x x)) 3/16 1/4 (/ (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (+ 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2))))) (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (+ 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2))))) (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2))) (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)) (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2) (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) (- (pow (cos (atan x)) 2) 1) (pow (cos (atan x)) 2) 2 (- (cos (atan x)) 1))
14.0ms	x	@	-inf	((/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (sqrt (+ (cos (atan x)) 1)) (sqrt 1/2)) (+ 1/2 (* (cos (atan x)) 1/2))))) (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 3/2 (+ 1 (+ (* (sqrt (+ (cos (atan x)) 1)) (sqrt 1/2)) (+ 1/2 (* (cos (atan x)) 1/2)))) (+ (* (sqrt (+ (cos (atan x)) 1)) (sqrt 1/2)) (+ 1/2 (* (cos (atan x)) 1/2))) (sqrt (+ (cos (atan x)) 1)) (sqrt 1/2) (+ 1/2 (* (cos (atan x)) 1/2)) (* (cos (atan x)) 1/2) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (* (* x x) 1/8) (* 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))))) (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (- (* 3/16 (* x x)) 1/4) (* 3/16 (* x x)) 3/16 1/4 (/ (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (+ 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2))))) (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (+ 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (sqrt (+ 1/2 (* (cos (atan x)) 1/2))) (/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2))))) (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2))) (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)) (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2) (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) (- (pow (cos (atan x)) 2) 1) (pow (cos (atan x)) 2) 2 (- (cos (atan x)) 1))

Time

Variable

Point

Expression

20.0ms

inf

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

18.0ms

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

14.0ms

-inf

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

rewrite360.0ms (3.7%)

Memory

31.3MiB live, 263.6MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	371	3001
0	441	2268
1	2249	2107
0	8236	1974

Stop Event

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

Counts

130 → 845

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
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(pow.f64 (exp.f64 (log.f64 (cos.f64 (atan.f64 x)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cosh.f64 (asinh.f64 x)) (cosh.f64 (asinh.f64 x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 (atan.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64))
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64))
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(/.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 (asinh.f64 x)) (neg.f64 (cosh.f64 (asinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (neg.f64 (cosh.f64 (asinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (asinh.f64 x)) (cosh.f64 (asinh.f64 x))))
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(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (atan.f64 x))) #s(literal 2 binary64)))
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(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (atan.f64 x)))))
#s(literal 2 binary64)
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(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))
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(expm1.f64 (*.f64 (log.f64 (cos.f64 (atan.f64 x))) #s(literal 1 binary64)))
(expm1.f64 (*.f64 (log.f64 (cosh.f64 (asinh.f64 x))) #s(literal -1 binary64)))
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(-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
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#s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
#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 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (cos (atan x)) 1)) (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* (cos (atan x)) 1/2) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) #s(literal 0 binary64))
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#s(approx (/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) (-.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 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) (-.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 (* (* x x) 1/8) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) #s(literal 0 binary64))
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#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(.f64 (neg.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(.f64 (fabs.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))))) (fabs.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(pow.f64 (.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(sqrt.f64 (.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (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 (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* 3/16 (* x x)) 1/4) #s(literal -1/4 binary64))
#s(approx (- (* 3/16 (* x x)) 1/4) (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)))
#s(approx (* 3/16 (* x x)) (.f64 (.f64 x x) #s(literal 3/16 binary64)))
#s(approx (/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (- 1 (+ 1/2 (* (cos (atan x)) 1/2))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))
#s(approx (+ 1 (sqrt (+ 1/2 (* (cos (atan x)) 1/2)))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2))) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2))))) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2))) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2))) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
#s(approx (- (pow (cos (atan x)) 2) 1) (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (pow (cos (atan x)) 2) (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)))
#s(approx (- (cos (atan x)) 1) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) (-.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 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) (-.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 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) (-.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 (/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) (-.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 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) (-.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 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) (-.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 (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2))) (+.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 (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2))) (+.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 (+ (* x x) 1))))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (-.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 (+ (* x x) 1))))) (-.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 (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/16 binary64)))
#s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (-.f64 #s(literal 3/16 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* 3/16 (* x x)) 1/4) (.f64 (.f64 x x) #s(literal 3/16 binary64)))
#s(approx (- (* 3/16 (* x x)) 1/4) (.f64 (-.f64 #s(literal 3/16 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) (-.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 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) (-.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 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) (-.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 (/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) (-.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 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) (-.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 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)))))) (-.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 (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
#s(approx (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2))) (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 (* 1 (sqrt (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2))) (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 (+ (* x x) 1))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (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 (+ (* x x) 1))))) (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)))

eval278.0ms (2.9%)

Memory: 14.3MiB live, 274.0MiB allocated; 112ms collecting garbage
Compiler: Compiled 41 120 to 4 139 computations (89.9% saved)

prune121.0ms (1.2%)

Memory

-24.9MiB live, 117.9MiB allocated; 85ms collecting garbage

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	999	10	1 009
Fresh	3	5	8
Picked	3	2	5
Done	0	3	3
Total	1 005	20	1 025

Accuracy

99.5%

Counts

1 025 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.7%	(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	50.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.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)) #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 (-.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)))))))
	74.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.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)) #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)))))))
	74.6%	(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
	74.6%	(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #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)))
	74.6%	(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))
	25.5%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
	49.9%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.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 (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
▶	73.9%	(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	25.5%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
✓	73.9%	(-.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))))))))
✓	25.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
▶	49.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))
✓	49.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
▶	52.0%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
	27.2%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
	48.8%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (*.f64 (pow.f64 (pow.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64))))
✓	52.1%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
▶	49.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/8 binary64))))
✓	25.8%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 1 213 to 648 computations (46.6% saved)

series181.0ms (1.9%)

Memory

13.5MiB live, 205.6MiB allocated; 75ms collecting garbage

Counts

40 → 72

Calls

Call 1

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

Outputs
#s(approx (/ (- (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2))) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1))) #s(hole binary64 (/ (- (* 1/2 (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))) (* 1/2 (* (cos (atan x)) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))) 2))))
#s(approx (- (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2))) #s(hole binary64 (- (* 1/2 (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))) (* 1/2 (* (cos (atan x)) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))))))
#s(approx (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) #s(hole binary64 (* 1/2 (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))))
#s(approx (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) #s(hole binary64 (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))))
#s(approx (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) #s(hole binary64 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))
#s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (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 (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2)) #s(hole binary64 (* 1/2 (* (cos (atan x)) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))))))
#s(approx (* (cos (atan x)) 1/2) #s(hole binary64 (* 1/2 (cos (atan x)))))
#s(approx (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) #s(hole binary64 (pow (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (/ (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (* (sqrt 2) 3)) #s(hole binary64 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))))
#s(approx (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) #s(hole binary64 (* 3/4 (* (pow x 2) (sqrt 1/2)))))
#s(approx (* 1/4 (* (* x x) (sqrt 1/2))) #s(hole binary64 (* 1/4 (* (pow x 2) (sqrt 1/2)))))
#s(approx (* (* x x) (sqrt 1/2)) #s(hole binary64 (* (pow x 2) (sqrt 1/2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (exp (* (log x) 2)) 1/8) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (exp (* (log x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (/ (- 1/2 (* (cos (atan x)) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (atan x)))) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))))
#s(approx (- 1/2 (* (cos (atan x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (atan x))))))
#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 (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 (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x)))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 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 (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 (* (log x) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
114.0ms	x	@	0	((/ (- (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2))) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1))) (- (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2))) (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (+ (* (cos (atan x)) 1/2) 1/2) (cos (atan x)) (atan x) x 1 (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2)) (* (cos (atan x)) 1/2) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (- 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/ (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (* (sqrt 2) 3)) (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (* 1/4 (* (* x x) (sqrt 1/2))) 1/4 (* (* x x) (sqrt 1/2)) (* x x) (sqrt 1/2) 3 (* (sqrt 2) 0) (sqrt 2) 2 0 (* (sqrt 2) 3) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (* (exp (* (log x) 2)) 1/8) (exp (* (log x) 2)) (* (log x) 2) (log x) 1/8 (/ (- 1/2 (* (cos (atan x)) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (- 1/2 (* (cos (atan x)) 1/2)))
35.0ms	x	@	-inf	((/ (- (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2))) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1))) (- (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2))) (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (+ (* (cos (atan x)) 1/2) 1/2) (cos (atan x)) (atan x) x 1 (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2)) (* (cos (atan x)) 1/2) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (- 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/ (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (* (sqrt 2) 3)) (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (* 1/4 (* (* x x) (sqrt 1/2))) 1/4 (* (* x x) (sqrt 1/2)) (* x x) (sqrt 1/2) 3 (* (sqrt 2) 0) (sqrt 2) 2 0 (* (sqrt 2) 3) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (* (exp (* (log x) 2)) 1/8) (exp (* (log x) 2)) (* (log x) 2) (log x) 1/8 (/ (- 1/2 (* (cos (atan x)) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (- 1/2 (* (cos (atan x)) 1/2)))
28.0ms	x	@	inf	((/ (- (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2))) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1))) (- (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2))) (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (+ (* (cos (atan x)) 1/2) 1/2) (cos (atan x)) (atan x) x 1 (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2)) (* (cos (atan x)) 1/2) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (- 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/ (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (* (sqrt 2) 3)) (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (* 1/4 (* (* x x) (sqrt 1/2))) 1/4 (* (* x x) (sqrt 1/2)) (* x x) (sqrt 1/2) 3 (* (sqrt 2) 0) (sqrt 2) 2 0 (* (sqrt 2) 3) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (* (exp (* (log x) 2)) 1/8) (exp (* (log x) 2)) (* (log x) 2) (log x) 1/8 (/ (- 1/2 (* (cos (atan x)) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (- 1/2 (* (cos (atan x)) 1/2)))

Time

Variable

Point

Expression

114.0ms

((/ (- (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2))) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1))) (- (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2))) (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (+ (* (cos (atan x)) 1/2) 1/2) (cos (atan x)) (atan x) x 1 (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2)) (* (cos (atan x)) 1/2) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (- 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/ (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (* (sqrt 2) 3)) (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (* 1/4 (* (* x x) (sqrt 1/2))) 1/4 (* (* x x) (sqrt 1/2)) (* x x) (sqrt 1/2) 3 (* (sqrt 2) 0) (sqrt 2) 2 0 (* (sqrt 2) 3) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (* (exp (* (log x) 2)) 1/8) (exp (* (log x) 2)) (* (log x) 2) (log x) 1/8 (/ (- 1/2 (* (cos (atan x)) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (- 1/2 (* (cos (atan x)) 1/2)))

35.0ms

-inf

((/ (- (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2))) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1))) (- (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2))) (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (+ (* (cos (atan x)) 1/2) 1/2) (cos (atan x)) (atan x) x 1 (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2)) (* (cos (atan x)) 1/2) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (- 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/ (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (* (sqrt 2) 3)) (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (* 1/4 (* (* x x) (sqrt 1/2))) 1/4 (* (* x x) (sqrt 1/2)) (* x x) (sqrt 1/2) 3 (* (sqrt 2) 0) (sqrt 2) 2 0 (* (sqrt 2) 3) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (* (exp (* (log x) 2)) 1/8) (exp (* (log x) 2)) (* (log x) 2) (log x) 1/8 (/ (- 1/2 (* (cos (atan x)) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (- 1/2 (* (cos (atan x)) 1/2)))

28.0ms

inf

((/ (- (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2))) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1))) (- (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2))) (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (+ (* (cos (atan x)) 1/2) 1/2) (cos (atan x)) (atan x) x 1 (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2)) (* (cos (atan x)) 1/2) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (- 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/ (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (* (sqrt 2) 3)) (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (* 1/4 (* (* x x) (sqrt 1/2))) 1/4 (* (* x x) (sqrt 1/2)) (* x x) (sqrt 1/2) 3 (* (sqrt 2) 0) (sqrt 2) 2 0 (* (sqrt 2) 3) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (* (exp (* (log x) 2)) 1/8) (exp (* (log x) 2)) (* (log x) 2) (log x) 1/8 (/ (- 1/2 (* (cos (atan x)) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (- 1/2 (* (cos (atan x)) 1/2)))

rewrite483.0ms (5%)

Memory

-5.4MiB live, 330.2MiB allocated; 206ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	337	2502
0	390	1920
1	1993	1713
0	9281	1673

Stop Event

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

Counts

112 → 544

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (cos.f64 (atan.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
(.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (cos.f64 (atan.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (fabs.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
(.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (cos.f64 (atan.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (cos.f64 (atan.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (cos.f64 (atan.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))))) (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (fma.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (cos.f64 (atan.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (cos.f64 (atan.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (cos.f64 (atan.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fabs.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fabs.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fabs.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fabs.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 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 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.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(approx (/ (- 1/2 (* (cos (atan x)) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (- (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2))) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (cos.f64 (atan.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (* 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (fma.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* (cos (atan x)) 1/2) 1/2) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (cos (atan x)) (cos.f64 (atan.f64 x)))
#s(approx (atan x) (atan.f64 x))
#s(approx x x)
#s(approx (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* (cos (atan x)) 1/2)) (.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (* (cos (atan x)) 1/2) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))
#s(approx (* (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 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)))))))) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 0 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 (+ (* (cos (atan x)) 1/2) 1/2)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (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 (+ (* (cos (atan x)) 1/2) 1/2)) (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 (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1 binary64))
#s(approx (+ (* (cos (atan x)) 1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (cos (atan x)) 1/2) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (cos (atan x)) 1/2) 1/2) (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 (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)))))))) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 0 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 (/ (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (* (sqrt 2) 3)) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (.f64 (.f64 #s(literal 3/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/4 (* (* x x) (sqrt 1/2))) (.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (* x x) (sqrt 1/2)) (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (* (sqrt 2) 3)) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (* (exp (* (log x) 2)) 1/8) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (log x) 2) (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (log x) (log.f64 x))
#s(approx (/ (- 1/2 (* (cos (atan x)) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (- 1/2 (* (cos (atan x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.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 (+ (* (cos (atan x)) 1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (+.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 (+ (* (cos (atan x)) 1/2) 1/2)) (+.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))))
(.f64 (neg.f64 (sqrt.f64 #s(approx (+ ( (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64)))))
(.f64 (fabs.f64 (sqrt.f64 #s(approx (+ ( (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64)))) (fabs.f64 (sqrt.f64 #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 #s(approx (+ ( (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64))))
(pow.f64 (.f64 #s(approx (+ ( (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64)) #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(approx (+ ( (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64)) #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64))))
#s(approx (+ (* (cos (atan x)) 1/2) 1/2) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (cos (atan x)) 1/2) 1/2) (-.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 (+ (* (cos (atan x)) 1/2) 1/2) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/16 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 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 #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 (* (log x) 2) (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (log x) (log.f64 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 (+ (* (cos (atan x)) 1/2) 1/2)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
#s(approx (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (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 (+ (* (cos (atan x)) 1/2) 1/2)) (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 (+ (* (cos (atan x)) 1/2) 1/2) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (cos (atan x)) 1/2) 1/2) (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 (+ (* (cos (atan x)) 1/2) 1/2) (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 (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 (* (log x) 2) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))))
#s(approx (log x) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))

eval233.0ms (2.4%)

Memory: 32.9MiB live, 262.9MiB allocated; 92ms collecting garbage
Compiler: Compiled 46 026 to 3 267 computations (92.9% saved)

prune93.0ms (1%)

Memory

9.1MiB live, 110.3MiB allocated; 36ms collecting garbage

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	952	14	966
Fresh	2	8	10
Picked	3	2	5
Done	0	5	5
Total	957	29	986

Accuracy

99.5%

Counts

986 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.7%	(/.f64 (-.f64 (.f64 (fma.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
	74.7%	(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	50.4%	(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
	50.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.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)) #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 (-.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)))))))
	74.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.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)) #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)))))))
	74.6%	(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #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)))
	74.6%	(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))
	50.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64)))))
	25.5%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
	73.9%	(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #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)))
	73.9%	(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	73.9%	(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	49.7%	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
	49.7%	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
	25.5%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
✓	73.9%	(-.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))))))))
✓	25.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
✓	49.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))
✓	49.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
	52.0%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
	51.6%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
	51.9%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
	52.0%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 #s(approx (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (.f64 (.f64 #s(literal 3/4 binary64) (.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
	27.2%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
	48.8%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (*.f64 (pow.f64 (pow.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64))))
✓	52.1%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
	49.3%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 x) (log.f64 x)))))) #s(literal 1/8 binary64))))
✓	49.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/8 binary64))))
✓	25.8%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 2 724 to 866 computations (68.2% saved)

regimes152.0ms (1.6%)

Memory

0.9MiB live, 133.7MiB allocated; 63ms collecting garbage

Counts

49 → 2

Calls

Call 1

Inputs
#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)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.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))))
(-.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 (-.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #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 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 #s(approx (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (.f64 (.f64 #s(literal 3/4 binary64) (.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.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 (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #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) (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)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/8 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (*.f64 (pow.f64 (pow.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 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) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #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 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #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 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.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)) #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 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 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 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #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 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 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 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.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)) #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 (-.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 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 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 (-.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 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #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 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 x) (log.f64 x)))))) #s(literal 1/8 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 (-.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) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))

Outputs

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

Calls

7 calls:

28.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
27.0ms	(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)))))
18.0ms	x
17.0ms	(-.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))))))
15.0ms	(hypot.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
99.5%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.5%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.5%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.5%	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)))))`
99.5%	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))))))`
99.5%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes126.0ms (1.3%)

Memory

-34.7MiB live, 109.8MiB allocated; 41ms collecting garbage

Counts

41 → 2

Calls

Call 1

Inputs
#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)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.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))))
(-.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 (-.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #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 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 #s(approx (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (.f64 (.f64 #s(literal 3/4 binary64) (.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.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 (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #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) (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)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/8 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (*.f64 (pow.f64 (pow.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 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) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #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 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #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 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.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)) #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 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 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 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #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 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 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 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.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)) #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 (-.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 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))

Outputs

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

Calls

7 calls:

29.0ms	x
21.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
14.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
13.0ms	(hypot.f64 #s(literal 1 binary64) x)
12.0ms	(-.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
99.5%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.5%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.5%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.5%	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)))))`
99.5%	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))))))`
99.5%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes180.0ms (1.9%)

Memory

-25.0MiB live, 102.4MiB allocated; 167ms 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))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.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))))
(-.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 (-.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #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 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 #s(approx (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (.f64 (.f64 #s(literal 3/4 binary64) (.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.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 (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #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) (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)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/8 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (*.f64 (pow.f64 (pow.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 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) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #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 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #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 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.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)) #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 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 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 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #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 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

Outputs

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

Calls

7 calls:

96.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
20.0ms	(hypot.f64 #s(literal 1 binary64) x)
15.0ms	x
12.0ms	(-.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))))))
11.0ms	(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
99.5%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.5%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.5%	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)))))`
99.5%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.5%	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))))))`
99.5%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes103.0ms (1.1%)

Memory

0.3MiB live, 94.2MiB allocated; 28ms collecting garbage

Counts

34 → 2

Calls

Call 1

Inputs
#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)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.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))))
(-.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 (-.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #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 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 #s(approx (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (.f64 (.f64 #s(literal 3/4 binary64) (.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.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 (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #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) (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)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/8 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (*.f64 (pow.f64 (pow.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 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) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #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 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #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 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.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)) #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 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))

Outputs

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

(/.f64 (-.f64 #s(literal 1 binary64) (pow.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)) #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)))))))

Calls

7 calls:

24.0ms	(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)))))
18.0ms	(hypot.f64 #s(literal 1 binary64) x)
13.0ms	x
12.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
12.0ms	(*.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
99.5%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.5%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.5%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.5%	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)))))`
99.5%	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))))))`
99.5%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes94.0ms (1%)

Memory

-6.5MiB live, 89.9MiB allocated; 26ms collecting garbage

Counts

32 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.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))))
(-.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 (-.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #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 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 #s(approx (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (.f64 (.f64 #s(literal 3/4 binary64) (.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.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 (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #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) (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)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/8 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (*.f64 (pow.f64 (pow.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 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) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #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 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #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 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))

Outputs

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

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

Calls

7 calls:

17.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
12.0ms	x
12.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
11.0ms	(hypot.f64 #s(literal 1 binary64) x)
10.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.5%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.5%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.5%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.5%	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)))))`
99.5%	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))))))`
99.5%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes83.0ms (0.9%)

Memory

37.3MiB live, 83.1MiB allocated; 11ms collecting garbage

Counts

31 → 2

Calls

Call 1

Inputs
#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)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.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))))
(-.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 (-.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #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 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 #s(approx (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (.f64 (.f64 #s(literal 3/4 binary64) (.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.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 (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #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) (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)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/8 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (*.f64 (pow.f64 (pow.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 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) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #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 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #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)))

Outputs

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

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

Calls

7 calls:

12.0ms	x
11.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
10.0ms	(hypot.f64 #s(literal 1 binary64) x)
10.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
10.0ms	(-.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
99.4%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.4%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.4%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.4%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.4%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.4%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.4%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes90.0ms (0.9%)

Memory

-11.6MiB live, 79.4MiB allocated; 23ms 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))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.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))))
(-.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 (-.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #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 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 #s(approx (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (.f64 (.f64 #s(literal 3/4 binary64) (.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.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 (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #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) (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)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/8 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (*.f64 (pow.f64 (pow.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 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) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #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)))

Outputs

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

Calls

7 calls:

19.0ms	x
19.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
11.0ms	(-.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))))))
10.0ms	(hypot.f64 #s(literal 1 binary64) x)
9.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
99.4%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.4%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.4%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.4%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.4%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.4%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.4%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes153.0ms (1.6%)

Memory

-12.9MiB live, 81.8MiB allocated; 36ms collecting garbage

Counts

27 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.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))))
(-.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 (-.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #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 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 #s(approx (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (.f64 (.f64 #s(literal 3/4 binary64) (.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.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 (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #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) (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)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/8 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (*.f64 (pow.f64 (pow.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Outputs

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

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

Calls

7 calls:

82.0ms	(hypot.f64 #s(literal 1 binary64) x)
19.0ms	(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)))))
11.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
10.0ms	x
10.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.4%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.4%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.4%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.4%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.4%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.4%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.4%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes88.0ms (0.9%)

Memory

33.1MiB live, 78.9MiB allocated; 10ms collecting garbage

Counts

25 → 2

Calls

Call 1

Inputs
#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)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.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))))
(-.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 (-.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #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 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 #s(approx (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (.f64 (.f64 #s(literal 3/4 binary64) (.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.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 (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #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) (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)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/8 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (*.f64 (pow.f64 (pow.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Outputs

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

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

Calls

7 calls:

33.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
10.0ms	x
9.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
9.0ms	(hypot.f64 #s(literal 1 binary64) x)
8.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
98.7%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.7%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.7%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.7%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.7%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.7%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes139.0ms (1.4%)

Memory

-10.8MiB live, 84.4MiB allocated; 33ms collecting garbage

Counts

14 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.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))))
(-.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 (-.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #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 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 #s(approx (+ (* (* 1/4 (* (* x x) (sqrt 1/2))) 3) (* (sqrt 2) 0)) (.f64 (.f64 #s(literal 3/4 binary64) (.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))

Outputs

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

Calls

7 calls:

91.0ms	x
20.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
6.0ms	(hypot.f64 #s(literal 1 binary64) x)
5.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
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
98.7%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.7%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.7%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.7%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.7%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.7%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes38.0ms (0.4%)

Memory

15.9MiB live, 61.8MiB allocated; 9ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes32.0ms (0.3%)

Memory

-1.4MiB live, 44.5MiB allocated; 10ms 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))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.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))))
(-.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)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))

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

Calls

7 calls:

9.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
4.0ms	x
4.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms	(hypot.f64 #s(literal 1 binary64) x)
3.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
98.0%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.0%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.0%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.0%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.0%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.0%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.0%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes31.0ms (0.3%)

Memory

1.2MiB live, 45.5MiB allocated; 11ms 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))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.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(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))

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

Calls

7 calls:

9.0ms	(hypot.f64 #s(literal 1 binary64) x)
4.0ms	x
4.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
3.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
97.4%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
97.4%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
97.4%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
97.4%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
97.4%	2	`(hypot.f64 #s(literal 1 binary64) x)`
97.4%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
97.4%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes34.0ms (0.3%)

Memory

-36.3MiB live, 26.0MiB allocated; 31ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 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
52.1%	1	`(hypot.f64 #s(literal 1 binary64) x)`
52.1%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
52.1%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
52.1%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
52.1%	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)))))`
52.1%	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))))))`
52.1%	1	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes12.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
25.8%	1	`(hypot.f64 #s(literal 1 binary64) x)`
25.8%	1	`x`
25.8%	1	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
25.8%	1	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
25.8%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
25.8%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
25.8%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch61.0ms (0.6%)

Memory

20.0MiB live, 63.5MiB allocated; 12ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
57.0ms	3.796467446233121e-5	0.0003665223889380194

Samples

23.0ms

96×

valid

Compiler

Compiled 464 to 283 computations (39% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-hypot: 5.0ms (27.9% of total)

adjust: 4.0ms (22.3% of total)

ival-div: 2.0ms (11.1% of total)

ival-mult: 2.0ms (11.1% of total)

ival-sqrt: 2.0ms (11.1% of total)

ival-add: 1.0ms (5.6% of total)

ival-sub: 1.0ms (5.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory

-37.3MiB live, 5.5MiB allocated; 14ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.796467446233121e-5	0.0003665223889380194

Compiler

Compiled 410 to 259 computations (36.8% saved)

bsearch2.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	3.796467446233121e-5	0.0003665223889380194

Compiler

Compiled 410 to 253 computations (38.3% saved)

bsearch2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	3.796467446233121e-5	0.0003665223889380194

Compiler

Compiled 440 to 277 computations (37% saved)

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	3.796467446233121e-5	0.0003665223889380194

Compiler

Compiled 362 to 241 computations (33.4% saved)

bsearch2.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.796467446233121e-5	0.0003665223889380194

Compiler

Compiled 350 to 235 computations (32.9% saved)

bsearch2.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.796467446233121e-5	0.0003665223889380194

Compiler

Compiled 350 to 223 computations (36.3% saved)

bsearch2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.796467446233121e-5	0.0003665223889380194

Compiler

Compiled 374 to 253 computations (32.4% saved)

bsearch28.0ms (0.3%)

Memory

-13.6MiB live, 32.5MiB allocated; 10ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	0.02454927640949621	3.428723730604846

Samples

18.0ms

112×

valid

Compiler

Compiled 559 to 307 computations (45.1% saved)

Precisions

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

ival-sqrt: 7.0ms (49% of total)

ival-hypot: 3.0ms (21% of total)

ival-div: 1.0ms (7% of total)

ival-add: 1.0ms (7% of total)

ival-mult: 1.0ms (7% of total)

ival-sub: 1.0ms (7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.796467446233121e-5	0.0003665223889380194

Compiler

Compiled 314 to 217 computations (30.9% saved)

bsearch11.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.02454927640949621	3.428723730604846

Samples

5.0ms

48×

valid

Compiler

Compiled 433 to 272 computations (37.2% saved)

Precisions

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

ival-div: 1.0ms (27.7% of total)

ival-hypot: 1.0ms (27.7% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.02454927640949621	3.428723730604846

Compiler

Compiled 426 to 300 computations (29.6% saved)

bsearch2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.02454927640949621	3.428723730604846

Compiler

Compiled 398 to 286 computations (28.1% saved)

simplify131.0ms (1.4%)

Memory

-19.1MiB live, 83.7MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	135	865
1	217	799
2	432	771
3	1184	771
4	6128	771

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 4980620899901579/36893488147419103232 binary64)) #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 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 (-.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))))))))
(if (<=.f64 x #s(literal 4980620899901579/36893488147419103232 binary64)) #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 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 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))))
(if (<=.f64 x #s(literal 4980620899901579/36893488147419103232 binary64)) #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 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 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))))
(if (<=.f64 x #s(literal 4980620899901579/36893488147419103232 binary64)) #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.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)) #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))))))))
(if (<=.f64 x #s(literal 4980620899901579/36893488147419103232 binary64)) #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal 4980620899901579/36893488147419103232 binary64)) #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #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))))
(if (<=.f64 x #s(literal 4980620899901579/36893488147419103232 binary64)) #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 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))))))
(if (<=.f64 x #s(literal 4980620899901579/36893488147419103232 binary64)) #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))))
(if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.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 (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))))
(if (<=.f64 x #s(literal 2582544170319337/18446744073709551616 binary64)) #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.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)))))))))
(if (<=.f64 x #s(literal 3/2 binary64)) #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 3/2 binary64)) #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Outputs
(if (<=.f64 x #s(literal 4980620899901579/36893488147419103232 binary64)) #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 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 (-.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))))))))
(if (<=.f64 x #s(literal 4980620899901579/36893488147419103232 binary64)) #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 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) (sqrt.f64 (.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)))))))
(if (<=.f64 x #s(literal 4980620899901579/36893488147419103232 binary64)) #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 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 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))))
(if (<=.f64 x #s(literal 4980620899901579/36893488147419103232 binary64)) #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 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 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))))
(if (<=.f64 x #s(literal 4980620899901579/36893488147419103232 binary64)) #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 (.f64 x x) #s(literal 1/8 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.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)) #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))))))))
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derivations1.2s (12.2%)

Memory

3.1MiB live, 659.3MiB allocated; 320ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 903 to 128 computations (85.8% saved)

preprocess117.0ms (1.2%)

Memory: 11.1MiB live, 153.3MiB allocated; 27ms collecting garbage
Compiler: Compiled 1 982 to 362 computations (81.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample3.1s (31.9%)

explain394.0ms (4.1%)

preprocess411.0ms (4.2%)

eval0.0ms (0%)

prune1.0ms (0%)

series12.0ms (0.1%)

rewrite400.0ms (4.1%)

eval45.0ms (0.5%)

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series35.0ms (0.4%)

rewrite366.0ms (3.8%)

eval138.0ms (1.4%)

prune38.0ms (0.4%)

series57.0ms (0.6%)

rewrite360.0ms (3.7%)

eval278.0ms (2.9%)

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series181.0ms (1.9%)

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eval233.0ms (2.4%)

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regimes152.0ms (1.6%)

regimes126.0ms (1.3%)

regimes180.0ms (1.9%)

regimes103.0ms (1.1%)

regimes94.0ms (1%)

regimes83.0ms (0.9%)

regimes90.0ms (0.9%)

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regimes88.0ms (0.9%)

regimes139.0ms (1.4%)

regimes38.0ms (0.4%)

regimes32.0ms (0.3%)

regimes31.0ms (0.3%)

regimes34.0ms (0.3%)

regimes12.0ms (0.1%)

bsearch61.0ms (0.6%)

bsearch10.0ms (0.1%)

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bsearch2.0ms (0%)

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bsearch2.0ms (0%)

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bsearch28.0ms (0.3%)

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derivations1.2s (12.2%)

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end0.0ms (0%)

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