Metrics for Given's Rotation SVD example, simplified

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

sample1.8s (40.5%)

Memory

76.4MiB live, 2 159.4MiB allocated; 475ms collecting garbage

Samples

877.0ms	2 864×	2	valid
312.0ms	4 159×	0	valid
252.0ms	1 233×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-hypot: 390.0ms (34.4% of total)

adjust: 198.0ms (17.5% of total)

ival-sqrt: 135.0ms (11.9% of total)

ival-div: 133.0ms (11.7% of total)

ival-mult: 100.0ms (8.8% of total)

ival-sub: 83.0ms (7.3% of total)

ival-add: 80.0ms (7.1% of total)

exact: 10.0ms (0.9% of total)

ival-assert: 2.0ms (0.2% of total)

Bogosity

explain184.0ms (4.1%)

Memory

-13.4MiB live, 221.4MiB allocated; 51ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
66	-	-	`(-.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	66	0

Confusion

	Predicted +	Predicted -
+	66	0
-	0	190

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	66	0	0
-	0	0	190

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	190
1	66

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms	164×	2	valid
25.0ms	262×	0	valid
15.0ms	86×	1	valid

Compiler

Compiled 174 to 31 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-hypot: 20.0ms (33.3% of total)

adjust: 10.0ms (16.7% of total)

ival-div: 7.0ms (11.7% of total)

ival-sqrt: 7.0ms (11.7% of total)

ival-mult: 6.0ms (10% of total)

ival-sub: 4.0ms (6.7% of total)

ival-add: 4.0ms (6.7% of total)

exact: 1.0ms (1.7% of total)

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

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

preprocess238.0ms (5.3%)

Memory

-6.6MiB live, 179.1MiB allocated; 45ms 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)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.3%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Compiler

Compiled 12 to 9 computations (25% saved)

series7.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Counts

9 → 69

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)
2.0ms	x	@	inf	((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)
2.0ms	x	@	-inf	((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)

Time

Variable

Point

Expression

2.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

rewrite171.0ms (3.8%)

Memory

-0.2MiB live, 189.1MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

78 → 149

Calls

Call 1

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

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

eval18.0ms (0.4%)

Memory: 32.8MiB live, 32.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 533 to 825 computations (76.6% saved)

prune11.0ms (0.2%)

Memory

-27.3MiB live, 18.9MiB allocated; 3ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	142	10	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	143	10	153

Accuracy

77.4%

Counts

153 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.0%	(/.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)))))))
▶	77.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
▶	76.3%	(-.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))))))))
	52.2%	(-.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)))))))
	26.6%	(-.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)))))
▶	51.1%	(-.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)))))
	51.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	28.1%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
▶	28.1%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
▶	26.9%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 472 to 318 computations (32.6% saved)

series15.0ms (0.3%)

Memory

23.7MiB live, 23.7MiB allocated; 0ms collecting garbage

Counts

31 → 126

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(cos.f64 (atan.f64 x))
(atan.f64 x)
x
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(literal 0 binary64)
#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 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (/ (- 1 (* 1/2 (+ 1 (cos (atan x))))) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (- 1 (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (- 1 (* 1/2 (+ 1 (cos (atan x)))))))
#s(approx (* (+ (cos (atan x)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (cos (atan x))))))
#s(approx (+ (cos (atan x)) 1) #s(hole binary64 (+ 1 (cos (atan x)))))
#s(approx (cos (atan x)) #s(hole binary64 (cos (atan x))))
#s(approx (atan x) #s(hole binary64 (atan x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) #s(hole binary64 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))
#s(approx (sqrt (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- (+ (* (* (* 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
5.0ms	x	@	inf	((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (- (+ (* (* (* 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))
4.0ms	x	@	0	((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (- (+ (* (* (* 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))
4.0ms	x	@	-inf	((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (- (+ (* (* (* 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

5.0ms

inf

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

4.0ms

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

4.0ms

-inf

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

rewrite225.0ms (5%)

Memory

-52.4MiB live, 188.0MiB allocated; 134ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	432	3483
0	471	2628
1	2462	2526
0	8261	2446

Stop Event

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

Counts

157 → 504

Calls

Call 1

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

eval61.0ms (1.4%)

Memory: 0.2MiB live, 100.3MiB allocated; 18ms collecting garbage
Compiler: Compiled 13 608 to 2 148 computations (84.2% saved)

prune23.0ms (0.5%)

Memory

-8.4MiB live, 36.8MiB allocated; 14ms collecting garbage

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	463	7	470
Fresh	3	2	5
Picked	2	3	5
Done	0	0	0
Total	468	12	480

Accuracy

99.6%

Counts

480 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.1%	(/.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) (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	77.0%	(/.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)))))))
	77.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
▶	51.9%	(/.f64 (-.f64 #s(literal 1 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 #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))))))
✓	76.3%	(-.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))))))))
	26.6%	(-.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)))))
✓	51.1%	(-.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)))))
	51.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
▶	49.3%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (expm1.f64 (.f64 (log1p.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))))
▶	28.1%	#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)))
▶	50.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 #s(literal 1/8 binary64) (.f64 x x))))
✓	26.9%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 672 to 395 computations (41.2% saved)

series39.0ms (0.9%)

Memory

-4.9MiB live, 42.1MiB allocated; 3ms collecting garbage

Counts

45 → 150

Calls

Call 1

Inputs
(/.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) (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (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) (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
#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))
(pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(cos.f64 (atan.f64 x))
(atan.f64 x)
x
#s(literal 3 binary64)
#s(literal 1/8 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(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(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 #s(literal 1/8 binary64) (.f64 x x))))
#s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(*.f64 x x)
#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)))
(-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 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 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 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 #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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (expm1.f64 (.f64 (log1p.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (expm1.f64 (.f64 (log1p.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(expm1.f64 (.f64 (log1p.f64 (.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 3 binary64)))
(.f64 (log1p.f64 (.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 3 binary64))
(log1p.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
#s(approx (/ (/ (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))))) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (/ (- 1 (* 1/8 (pow (+ 1 (cos (atan x))) 3))) (* (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))) (+ 1 (+ (* 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x))))))))))
#s(approx (/ (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))))) #s(hole binary64 (/ (- 1 (* 1/8 (pow (+ 1 (cos (atan x))) 3))) (+ 1 (+ (* 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x)))))))))
#s(approx (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) #s(hole binary64 (- 1 (* 1/8 (pow (+ 1 (cos (atan x))) 3)))))
#s(approx (* (pow (+ (cos (atan x)) 1) 3) 1/8) #s(hole binary64 (* 1/8 (pow (+ 1 (cos (atan x))) 3))))
#s(approx (pow (+ (cos (atan x)) 1) 3) #s(hole binary64 (pow (+ 1 (cos (atan x))) 3)))
#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 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (+ 1 (+ (* 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x))))))))
#s(approx (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))) #s(hole binary64 (+ (* 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x)))))))
#s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 2) #s(hole binary64 (* 1/4 (pow (+ 1 (cos (atan x))) 2))))
#s(approx (* (+ (cos (atan x)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (cos (atan x))))))
#s(approx (* 1 (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (* 1/2 (+ 1 (cos (atan x))))))
#s(approx (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) #s(hole binary64 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))
#s(approx (sqrt (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* 1/8 (* x x)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (+ (* (* x x) 1/8) 1) 1) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2)))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (* 1/4 (/ (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/4 (/ (* (sqrt 1/2) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/8 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 35/256 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))) (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))))
#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))))
#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))))
#s(approx (* 1/2 (+ 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 (+ (* 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 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))))))
#s(approx (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (+ 1 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))))))
#s(approx (sqrt (* 1/2 (+ 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 (/ (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) (+ (pow (+ (* 1/8 (* x x)) 1) 2) (+ 1 (* (+ (* 1/8 (* x x)) 1) 1)))) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) #s(hole binary64 (* 3/8 (pow x 2))))
#s(approx (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) #s(hole binary64 (* (pow x 2) (+ 3/8 (* 3/64 (pow x 2))))))
#s(approx (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) #s(hole binary64 (* (pow x 2) (+ 3/8 (* (pow x 2) (+ 3/64 (* 1/512 (pow x 2))))))))
#s(approx (* (log (+ 1 (* 1/8 (* x x)))) 3) #s(hole binary64 (* 3/8 (pow x 2))))
#s(approx (* (log (+ 1 (* 1/8 (* x x)))) 3) #s(hole binary64 (* (pow x 2) (+ 3/8 (* -3/128 (pow x 2))))))
#s(approx (* (log (+ 1 (* 1/8 (* x x)))) 3) #s(hole binary64 (* (pow x 2) (+ 3/8 (* (pow x 2) (- (* 1/512 (pow x 2)) 3/128))))))
#s(approx (* (log (+ 1 (* 1/8 (* x x)))) 3) #s(hole binary64 (* (pow x 2) (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/512 (* -3/16384 (pow x 2)))) 3/128))))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1/128 (pow x 2))))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 1/1536 (pow x 2)) 1/128))))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 1/1536 (* -1/16384 (pow x 2)))) 1/128))))))
#s(approx (+ (pow (+ (* 1/8 (* x x)) 1) 2) (+ 1 (* (+ (* 1/8 (* x x)) 1) 1))) #s(hole binary64 3))
#s(approx (+ (pow (+ (* 1/8 (* x x)) 1) 2) (+ 1 (* (+ (* 1/8 (* x x)) 1) 1))) #s(hole binary64 (+ 3 (* 3/8 (pow x 2)))))
#s(approx (+ (pow (+ (* 1/8 (* x x)) 1) 2) (+ 1 (* (+ (* 1/8 (* x x)) 1) 1))) #s(hole binary64 (+ 3 (* (pow x 2) (+ 3/8 (* 1/64 (pow x 2)))))))
#s(approx (pow (+ (* 1/8 (* x x)) 1) 2) #s(hole binary64 1))
#s(approx (pow (+ (* 1/8 (* x x)) 1) 2) #s(hole binary64 (+ 1 (* 1/4 (pow x 2)))))
#s(approx (pow (+ (* 1/8 (* x x)) 1) 2) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/4 (* 1/64 (pow x 2)))))))
#s(approx (+ (* 1/8 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/8 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2)))))
#s(approx (+ 1 (* (+ (* 1/8 (* x x)) 1) 1)) #s(hole binary64 2))
#s(approx (+ 1 (* (+ (* 1/8 (* x x)) 1) 1)) #s(hole binary64 (+ 2 (* 1/8 (pow x 2)))))
#s(approx (* (+ (* 1/8 (* x x)) 1) 1) #s(hole binary64 1))
#s(approx (* (+ (* 1/8 (* x x)) 1) 1) #s(hole binary64 (+ 1 (* 1/8 (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) 1/8) 1) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (/ 1/2 (+ 1 (sqrt 1/2)))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (pow x 2) (+ 1 (sqrt 1/2))))) (+ (* -3/32 (/ (sqrt 1/2) (* (pow x 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -1/16 (/ (sqrt 1/2) (* (pow x 2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))))))))
#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 1/2))
#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))))
#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))))
#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 (+ (* 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 (+ (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 (+ (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 (+ (* 1 1) (* x x)))))))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))))
#s(approx (sqrt (* 1/2 (+ 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 (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) #s(hole binary64 (* 1/512 (pow x 6))))
#s(approx (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) #s(hole binary64 (* (pow x 6) (+ 1/512 (* 3/64 (/ 1 (pow x 2)))))))
#s(approx (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) #s(hole binary64 (* (pow x 6) (+ 1/512 (+ (/ 3/8 (pow x 4)) (* 3/64 (/ 1 (pow x 2))))))))
#s(approx (* (log (+ 1 (* 1/8 (* x x)))) 3) #s(hole binary64 (* 3 (+ (log 1/8) (* -2 (log (/ 1 x)))))))
#s(approx (* (log (+ 1 (* 1/8 (* x x)))) 3) #s(hole binary64 (+ (* 3 (+ (log 1/8) (* -2 (log (/ 1 x))))) (* 24 (/ 1 (pow x 2))))))
#s(approx (* (log (+ 1 (* 1/8 (* x x)))) 3) #s(hole binary64 (- (+ (* 3 (+ (log 1/8) (* -2 (log (/ 1 x))))) (* 24 (/ 1 (pow x 2)))) (/ 96 (pow x 4)))))
#s(approx (* (log (+ 1 (* 1/8 (* x x)))) 3) #s(hole binary64 (- (+ (* 3 (+ (log 1/8) (* -2 (log (/ 1 x))))) (+ (* 24 (/ 1 (pow x 2))) (* 512 (/ 1 (pow x 6))))) (/ 96 (pow x 4)))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (+ (log 1/8) (* -2 (log (/ 1 x))))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (+ (log 1/8) (+ (* -2 (log (/ 1 x))) (* 8 (/ 1 (pow x 2)))))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (- (+ (log 1/8) (+ (* -2 (log (/ 1 x))) (* 8 (/ 1 (pow x 2))))) (/ 32 (pow x 4)))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (- (+ (log 1/8) (+ (* -2 (log (/ 1 x))) (+ (* 8 (/ 1 (pow x 2))) (* 512/3 (/ 1 (pow x 6)))))) (/ 32 (pow x 4)))))
#s(approx (+ (pow (+ (* 1/8 (* x x)) 1) 2) (+ 1 (* (+ (* 1/8 (* x x)) 1) 1))) #s(hole binary64 (* 1/64 (pow x 4))))
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#s(approx (+ (pow (+ (* 1/8 (* x x)) 1) 2) (+ 1 (* (+ (* 1/8 (* x x)) 1) 1))) #s(hole binary64 (* (pow x 4) (+ 1/64 (+ (* 3/8 (/ 1 (pow x 2))) (/ 3 (pow x 4)))))))
#s(approx (pow (+ (* 1/8 (* x x)) 1) 2) #s(hole binary64 (* 1/64 (pow x 4))))
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#s(approx (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x))))))
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#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
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#s(approx (* (log (+ 1 (* 1/8 (* x x)))) 3) #s(hole binary64 (- (+ (* 3 (+ (log 1/8) (* -2 (log (/ -1 x))))) (+ (* 24 (/ 1 (pow x 2))) (* 512 (/ 1 (pow x 6))))) (/ 96 (pow x 4)))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (+ (log 1/8) (* -2 (log (/ -1 x))))))
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#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (- (+ (log 1/8) (+ (* -2 (log (/ -1 x))) (+ (* 8 (/ 1 (pow x 2))) (* 512/3 (/ 1 (pow x 6)))))) (/ 32 (pow x 4)))))

Calls

3 calls:

Time	Variable		Point	Expression
14.0ms	x	@	inf	((/ (/ (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))))) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))))) (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8) (pow (+ (cos (atan x)) 1) 3) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 3 1/8 (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2)))) (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))) (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* (+ (cos (atan x)) 1) 1/2) 1/2 2 (* 1 (* (+ (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)))))))) (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (* 1/8 (* x x)) (* x x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (- (+ (* (* x x) 1/8) 1) 1) (+ (* (* x x) 1/8) 1) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/ (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) (+ (pow (+ (* 1/8 (* x x)) 1) 2) (+ 1 (* (+ (* 1/8 (* x x)) 1) 1)))) (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) (* (log (+ 1 (* 1/8 (* x x)))) 3) (log (+ 1 (* 1/8 (* x x)))) (+ (pow (+ (* 1/8 (* x x)) 1) 2) (+ 1 (* (+ (* 1/8 (* x x)) 1) 1))) (pow (+ (* 1/8 (* x x)) 1) 2) (+ (* 1/8 (* x x)) 1) (+ 1 (* (+ (* 1/8 (* x x)) 1) 1)) (* (+ (* 1/8 (* x x)) 1) 1))
13.0ms	x	@	0	((/ (/ (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))))) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))))) (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8) (pow (+ (cos (atan x)) 1) 3) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 3 1/8 (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2)))) (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))) (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* (+ (cos (atan x)) 1) 1/2) 1/2 2 (* 1 (* (+ (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)))))))) (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (* 1/8 (* x x)) (* x x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (- (+ (* (* x x) 1/8) 1) 1) (+ (* (* x x) 1/8) 1) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/ (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) (+ (pow (+ (* 1/8 (* x x)) 1) 2) (+ 1 (* (+ (* 1/8 (* x x)) 1) 1)))) (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) (* (log (+ 1 (* 1/8 (* x x)))) 3) (log (+ 1 (* 1/8 (* x x)))) (+ (pow (+ (* 1/8 (* x x)) 1) 2) (+ 1 (* (+ (* 1/8 (* x x)) 1) 1))) (pow (+ (* 1/8 (* x x)) 1) 2) (+ (* 1/8 (* x x)) 1) (+ 1 (* (+ (* 1/8 (* x x)) 1) 1)) (* (+ (* 1/8 (* x x)) 1) 1))
8.0ms	x	@	-inf	((/ (/ (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))))) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))))) (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8) (pow (+ (cos (atan x)) 1) 3) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 3 1/8 (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2)))) (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))) (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* (+ (cos (atan x)) 1) 1/2) 1/2 2 (* 1 (* (+ (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)))))))) (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (* 1/8 (* x x)) (* x x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (- (+ (* (* x x) 1/8) 1) 1) (+ (* (* x x) 1/8) 1) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/ (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) (+ (pow (+ (* 1/8 (* x x)) 1) 2) (+ 1 (* (+ (* 1/8 (* x x)) 1) 1)))) (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) (* (log (+ 1 (* 1/8 (* x x)))) 3) (log (+ 1 (* 1/8 (* x x)))) (+ (pow (+ (* 1/8 (* x x)) 1) 2) (+ 1 (* (+ (* 1/8 (* x x)) 1) 1))) (pow (+ (* 1/8 (* x x)) 1) 2) (+ (* 1/8 (* x x)) 1) (+ 1 (* (+ (* 1/8 (* x x)) 1) 1)) (* (+ (* 1/8 (* x x)) 1) 1))

Time

Variable

Point

Expression

14.0ms

inf

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

13.0ms

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

8.0ms

-inf

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

rewrite75.0ms (1.7%)

Memory

21.4MiB live, 67.6MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	720	5784
0	787	5685

Stop Event

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

Counts

195 → 199

Calls

Call 1

Inputs
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(/.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) (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
#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))
(pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(cos.f64 (atan.f64 x))
(atan.f64 x)
x
#s(literal 3 binary64)
#s(literal 1/8 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
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(pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
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#s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(*.f64 x x)
#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)))
(-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 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 #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))))))
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(+.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 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
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#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (expm1.f64 (.f64 (log1p.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (expm1.f64 (.f64 (log1p.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(expm1.f64 (.f64 (log1p.f64 (.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 3 binary64)))
(.f64 (log1p.f64 (.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 3 binary64))
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(pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
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#s(approx (/ (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))))) #s(hole binary64 (/ (- 1 (* 1/8 (pow (+ 1 (cos (atan x))) 3))) (+ 1 (+ (* 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x)))))))))
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#s(approx (* (pow (+ (cos (atan x)) 1) 3) 1/8) #s(hole binary64 (* 1/8 (pow (+ 1 (cos (atan x))) 3))))
#s(approx (pow (+ (cos (atan x)) 1) 3) #s(hole binary64 (pow (+ 1 (cos (atan x))) 3)))
#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 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (+ 1 (+ (* 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x))))))))
#s(approx (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))) #s(hole binary64 (+ (* 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x)))))))
#s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 2) #s(hole binary64 (* 1/4 (pow (+ 1 (cos (atan x))) 2))))
#s(approx (* (+ (cos (atan x)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (cos (atan x))))))
#s(approx (* 1 (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (* 1/2 (+ 1 (cos (atan x))))))
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#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (+ (* (* x x) 1/8) 1) 1) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2)))))
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#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))))
#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))))
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#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
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#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 (+ (* 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))))))
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#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))))))))
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#s(approx (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) #s(hole binary64 (* 3/8 (pow x 2))))
#s(approx (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) #s(hole binary64 (* (pow x 2) (+ 3/8 (* 3/64 (pow x 2))))))
#s(approx (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) #s(hole binary64 (* (pow x 2) (+ 3/8 (* (pow x 2) (+ 3/64 (* 1/512 (pow x 2))))))))
#s(approx (* (log (+ 1 (* 1/8 (* x x)))) 3) #s(hole binary64 (* 3/8 (pow x 2))))
#s(approx (* (log (+ 1 (* 1/8 (* x x)))) 3) #s(hole binary64 (* (pow x 2) (+ 3/8 (* -3/128 (pow x 2))))))
#s(approx (* (log (+ 1 (* 1/8 (* x x)))) 3) #s(hole binary64 (* (pow x 2) (+ 3/8 (* (pow x 2) (- (* 1/512 (pow x 2)) 3/128))))))
#s(approx (* (log (+ 1 (* 1/8 (* x x)))) 3) #s(hole binary64 (* (pow x 2) (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/512 (* -3/16384 (pow x 2)))) 3/128))))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1/128 (pow x 2))))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 1/1536 (pow x 2)) 1/128))))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 1/1536 (* -1/16384 (pow x 2)))) 1/128))))))
#s(approx (+ (pow (+ (* 1/8 (* x x)) 1) 2) (+ 1 (* (+ (* 1/8 (* x x)) 1) 1))) #s(hole binary64 3))
#s(approx (+ (pow (+ (* 1/8 (* x x)) 1) 2) (+ 1 (* (+ (* 1/8 (* x x)) 1) 1))) #s(hole binary64 (+ 3 (* 3/8 (pow x 2)))))
#s(approx (+ (pow (+ (* 1/8 (* x x)) 1) 2) (+ 1 (* (+ (* 1/8 (* x x)) 1) 1))) #s(hole binary64 (+ 3 (* (pow x 2) (+ 3/8 (* 1/64 (pow x 2)))))))
#s(approx (pow (+ (* 1/8 (* x x)) 1) 2) #s(hole binary64 1))
#s(approx (pow (+ (* 1/8 (* x x)) 1) 2) #s(hole binary64 (+ 1 (* 1/4 (pow x 2)))))
#s(approx (pow (+ (* 1/8 (* x x)) 1) 2) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/4 (* 1/64 (pow x 2)))))))
#s(approx (+ (* 1/8 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/8 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2)))))
#s(approx (+ 1 (* (+ (* 1/8 (* x x)) 1) 1)) #s(hole binary64 2))
#s(approx (+ 1 (* (+ (* 1/8 (* x x)) 1) 1)) #s(hole binary64 (+ 2 (* 1/8 (pow x 2)))))
#s(approx (* (+ (* 1/8 (* x x)) 1) 1) #s(hole binary64 1))
#s(approx (* (+ (* 1/8 (* x x)) 1) 1) #s(hole binary64 (+ 1 (* 1/8 (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) 1/8) 1) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (/ 1/2 (+ 1 (sqrt 1/2)))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))
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#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 1/2))
#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))))
#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))))
#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 (+ (* 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 (+ (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 (+ (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 (+ (* 1 1) (* x x)))))))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))))
#s(approx (sqrt (* 1/2 (+ 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 (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) #s(hole binary64 (* 1/512 (pow x 6))))
#s(approx (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) #s(hole binary64 (* (pow x 6) (+ 1/512 (* 3/64 (/ 1 (pow x 2)))))))
#s(approx (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) #s(hole binary64 (* (pow x 6) (+ 1/512 (+ (/ 3/8 (pow x 4)) (* 3/64 (/ 1 (pow x 2))))))))
#s(approx (* (log (+ 1 (* 1/8 (* x x)))) 3) #s(hole binary64 (* 3 (+ (log 1/8) (* -2 (log (/ 1 x)))))))
#s(approx (* (log (+ 1 (* 1/8 (* x x)))) 3) #s(hole binary64 (+ (* 3 (+ (log 1/8) (* -2 (log (/ 1 x))))) (* 24 (/ 1 (pow x 2))))))
#s(approx (* (log (+ 1 (* 1/8 (* x x)))) 3) #s(hole binary64 (- (+ (* 3 (+ (log 1/8) (* -2 (log (/ 1 x))))) (* 24 (/ 1 (pow x 2)))) (/ 96 (pow x 4)))))
#s(approx (* (log (+ 1 (* 1/8 (* x x)))) 3) #s(hole binary64 (- (+ (* 3 (+ (log 1/8) (* -2 (log (/ 1 x))))) (+ (* 24 (/ 1 (pow x 2))) (* 512 (/ 1 (pow x 6))))) (/ 96 (pow x 4)))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (+ (log 1/8) (* -2 (log (/ 1 x))))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (+ (log 1/8) (+ (* -2 (log (/ 1 x))) (* 8 (/ 1 (pow x 2)))))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (- (+ (log 1/8) (+ (* -2 (log (/ 1 x))) (* 8 (/ 1 (pow x 2))))) (/ 32 (pow x 4)))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (- (+ (log 1/8) (+ (* -2 (log (/ 1 x))) (+ (* 8 (/ 1 (pow x 2))) (* 512/3 (/ 1 (pow x 6)))))) (/ 32 (pow x 4)))))
#s(approx (+ (pow (+ (* 1/8 (* x x)) 1) 2) (+ 1 (* (+ (* 1/8 (* x x)) 1) 1))) #s(hole binary64 (* 1/64 (pow x 4))))
#s(approx (+ (pow (+ (* 1/8 (* x x)) 1) 2) (+ 1 (* (+ (* 1/8 (* x x)) 1) 1))) #s(hole binary64 (* (pow x 4) (+ 1/64 (* 3/8 (/ 1 (pow x 2)))))))
#s(approx (+ (pow (+ (* 1/8 (* x x)) 1) 2) (+ 1 (* (+ (* 1/8 (* x x)) 1) 1))) #s(hole binary64 (* (pow x 4) (+ 1/64 (+ (* 3/8 (/ 1 (pow x 2))) (/ 3 (pow x 4)))))))
#s(approx (pow (+ (* 1/8 (* x x)) 1) 2) #s(hole binary64 (* 1/64 (pow x 4))))
#s(approx (pow (+ (* 1/8 (* x x)) 1) 2) #s(hole binary64 (* (pow x 4) (+ 1/64 (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (pow (+ (* 1/8 (* x x)) 1) 2) #s(hole binary64 (* (pow x 4) (+ 1/64 (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/8 (* x x)) 1) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* 1/8 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))))
#s(approx (+ 1 (* (+ (* 1/8 (* x x)) 1) 1)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ 1 (* (+ (* 1/8 (* x x)) 1) 1)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* 2 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/8 (* x x)) 1) 1) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (+ (* 1/8 (* x x)) 1) 1) #s(hole binary64 (* (pow x 2) (+ 1/8 (/ 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 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* x (+ 1 (sqrt 1/2))))) (* -1/16 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (+ (* -3/32 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2))))))) x)) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))))
#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) 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 (+ (* 1 1) (* x x)))))))) #s(hole binary64 (+ 1 (+ (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 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))))))
#s(approx (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) 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) (* -1/2 (/ (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 (* (log (+ 1 (* 1/8 (* x x)))) 3) #s(hole binary64 (* 3 (+ (log 1/8) (* -2 (log (/ -1 x)))))))
#s(approx (* (log (+ 1 (* 1/8 (* x x)))) 3) #s(hole binary64 (+ (* 3 (+ (log 1/8) (* -2 (log (/ -1 x))))) (* 24 (/ 1 (pow x 2))))))
#s(approx (* (log (+ 1 (* 1/8 (* x x)))) 3) #s(hole binary64 (- (+ (* 3 (+ (log 1/8) (* -2 (log (/ -1 x))))) (* 24 (/ 1 (pow x 2)))) (/ 96 (pow x 4)))))
#s(approx (* (log (+ 1 (* 1/8 (* x x)))) 3) #s(hole binary64 (- (+ (* 3 (+ (log 1/8) (* -2 (log (/ -1 x))))) (+ (* 24 (/ 1 (pow x 2))) (* 512 (/ 1 (pow x 6))))) (/ 96 (pow x 4)))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (+ (log 1/8) (* -2 (log (/ -1 x))))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (+ (log 1/8) (+ (* -2 (log (/ -1 x))) (* 8 (/ 1 (pow x 2)))))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (- (+ (log 1/8) (+ (* -2 (log (/ -1 x))) (* 8 (/ 1 (pow x 2))))) (/ 32 (pow x 4)))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) #s(hole binary64 (- (+ (log 1/8) (+ (* -2 (log (/ -1 x))) (+ (* 8 (/ 1 (pow x 2))) (* 512/3 (/ 1 (pow x 6)))))) (/ 32 (pow x 4)))))

Outputs
(/.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) (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (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) (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
#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))
(pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(cos.f64 (atan.f64 x))
(atan.f64 x)
x
#s(literal 3 binary64)
#s(literal 1/8 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(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(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 #s(literal 1/8 binary64) (.f64 x x))))
#s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(*.f64 x x)
#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)))
(-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64))
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#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal -3/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) x)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))))
#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))))) x))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
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#s(approx (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)))))
#s(approx (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)))))
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#s(approx (* (log (+ 1 (* 1/8 (* x x)))) 3) (-.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal 1/8 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (fma.f64 #s(literal 24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 512 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 96 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) (+.f64 (log.f64 #s(literal 1/8 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) (+.f64 (log.f64 #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) (-.f64 (+.f64 (log.f64 #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (+ 1 (* 1/8 (* x x)))) (-.f64 (+.f64 (log.f64 #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 512/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))))

eval41.0ms (0.9%)

Memory: -30.2MiB live, 66.5MiB allocated; 11ms collecting garbage
Compiler: Compiled 16 783 to 1 252 computations (92.5% saved)

prune21.0ms (0.5%)

Memory

-6.1MiB live, 40.2MiB allocated; 3ms collecting garbage

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	308	6	314
Fresh	0	4	4
Picked	2	3	5
Done	0	3	3
Total	310	16	326

Accuracy

100.0%

Counts

326 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.1%	(/.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) #s(approx (+ (pow ( (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
▶	77.0%	(/.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)))))))
▶	77.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
✓	51.9%	(/.f64 (-.f64 #s(literal 1 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 #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))))))
✓	76.3%	(-.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))))))))
▶	26.6%	(-.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)))))
✓	51.1%	(-.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)))))
▶	51.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
	52.3%	#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
	49.6%	#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 5/16 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 35/256 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))) (.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
	50.9%	#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
	49.3%	#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
	49.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 #s(approx (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) (.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))))
✓	28.1%	#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)))
✓	50.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 #s(literal 1/8 binary64) (.f64 x x))))
✓	26.9%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 1 971 to 752 computations (61.8% saved)

series31.0ms (0.7%)

Memory

43.2MiB live, 43.2MiB allocated; 0ms collecting garbage

Counts

50 → 141

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	((/ (/ (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))))) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))))) (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8) (pow (+ (cos (atan x)) 1) 3) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 3 1/8 (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2)))) (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))) (+ (* 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x))))) 1/4 (pow (+ 1 (cos (atan x))) 2) (+ 1 (cos (atan x))) 2 (* 1/2 (+ 1 (cos (atan x)))) 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (* (+ (cos (atan x)) 1) 1/2) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (- (* 3/16 (* x x)) 1/4) (* 3/16 (* x x)) 3/16 (* x x) (/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (sqrt (/ 1 (+ (* x x) 1))) (/ 1 (+ (* x x) 1)) (+ (* x x) 1) (/ (- 1 (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)) (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) 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))))
8.0ms	x	@	inf	((/ (/ (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))))) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))))) (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8) (pow (+ (cos (atan x)) 1) 3) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 3 1/8 (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2)))) (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))) (+ (* 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x))))) 1/4 (pow (+ 1 (cos (atan x))) 2) (+ 1 (cos (atan x))) 2 (* 1/2 (+ 1 (cos (atan x)))) 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (* (+ (cos (atan x)) 1) 1/2) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (- (* 3/16 (* x x)) 1/4) (* 3/16 (* x x)) 3/16 (* x x) (/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (sqrt (/ 1 (+ (* x x) 1))) (/ 1 (+ (* x x) 1)) (+ (* x x) 1) (/ (- 1 (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)) (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) 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))))
7.0ms	x	@	0	((/ (/ (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))))) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))))) (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8) (pow (+ (cos (atan x)) 1) 3) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 3 1/8 (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2)))) (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))) (+ (* 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x))))) 1/4 (pow (+ 1 (cos (atan x))) 2) (+ 1 (cos (atan x))) 2 (* 1/2 (+ 1 (cos (atan x)))) 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (* (+ (cos (atan x)) 1) 1/2) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (- (* 3/16 (* x x)) 1/4) (* 3/16 (* x x)) 3/16 (* x x) (/ (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2) (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (sqrt (/ 1 (+ (* x x) 1))) (/ 1 (+ (* x x) 1)) (+ (* x x) 1) (/ (- 1 (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)) (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) 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))))

Time

Variable

Point

Expression

12.0ms

-inf

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

8.0ms

inf

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

7.0ms

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

rewrite224.0ms (5%)

Memory

-16.5MiB live, 208.8MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	569	4656
0	640	3856
1	3536	3449
0	8464	3396

Stop Event

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

Counts

191 → 614

Calls

Call 1

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

Outputs
(/.f64 (neg.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(approx (+ ( 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x))))) (fma.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (/.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(approx (+ ( 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x))))) (fma.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #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 (+.f64 #s(approx (+ (* 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x))))) (fma.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.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)))) (neg.f64 (+.f64 #s(approx (+ ( 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x))))) (fma.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (+.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 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(approx (+ ( 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x))))) (fma.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 #s(approx (+ (* 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x))))) (fma.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(approx (+ (* 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x))))) (fma.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (+.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 6 binary64))) (+.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 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 6 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) (*.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) (*.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/8 binary64)))
#s(literal 1 binary64)
(.f64 (neg.f64 (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 (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 (fabs.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (fabs.f64 (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 (pow.f64 (.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 3/2 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 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(.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))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(.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)))
(pow.f64 (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(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 6 binary64)))
(exp.f64 (fma.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (cos.f64 (atan.f64 x)))) #s(literal 3/2 binary64) (*.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (cos.f64 (atan.f64 x)))) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (cos.f64 (atan.f64 x)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (cos.f64 (atan.f64 x)))) #s(literal 3 binary64)))
(*.f64 (neg.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (cos.f64 (atan.f64 x)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(/.f64 (pow.f64 (expm1.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (sin.f64 (atan.f64 x)) (sin.f64 (atan.f64 x))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 3 binary64))) (sinh.f64 (.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 3 binary64))))
(pow.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.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 (expm1.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal -1 binary64))) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 (atan.f64 x)) (sin.f64 (atan.f64 x))) (-.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 #s(literal 1 binary64) (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1 binary64)))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
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(pow.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 (asinh.f64 x))))
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(/.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))))
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(cos.f64 (neg.f64 (neg.f64 (atan.f64 x))))
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(cos.f64 (atan.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(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)))))
(atan.f64 x)
x
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(fma.f64 (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)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #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))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))
(fma.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 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))
(fma.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 1/2 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))) (.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 (+.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 (+.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 (sqrt.f64 (.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 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))))
(.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1 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)))))
(pow.f64 (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 1/2 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 -1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.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 (* (+ (cos (atan x)) 1) 1/2)))))) (-.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 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1 binary64) (+.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) 3) 1/8)) (-.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))))
#s(approx (* (pow (+ (cos (atan x)) 1) 3) 1/8) (*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
#s(approx (pow (+ (cos (atan x)) 1) 3) (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)))
#s(approx (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
#s(approx (sqrt (/ 1 (+ (* x x) 1))) (cos.f64 (atan.f64 x)))
#s(approx (atan x) (atan.f64 x))
#s(approx x x)
#s(approx (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2)))) (+.f64 (fma.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (+.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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#s(approx (+ (* 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x))))) (fma.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))
#s(approx (pow (+ 1 (cos (atan x))) 2) (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(approx (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))
#s(approx (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.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)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))) #s(literal 0 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)))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (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 (* (+ (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)))
#s(approx (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) #s(literal 1 binary64))
#s(approx (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (* 1 (sqrt (* (+ (cos (atan x)) 1) 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 (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (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 (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(.f64 (neg.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (/ 1/2 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 (+ (* (- (* 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 (* 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 (* (+ (cos (atan x)) 1) 1/2)))))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))) (.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 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 x x)))
#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)))))) (.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 5/32 binary64) (.f64 x x)) #s(literal 3/16 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 x x) (/.f64 #s(literal 1/4 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 x x)))
#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)))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -35/256 binary64) (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/32 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 x x)) (/.f64 #s(literal 3/16 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 x x) (/.f64 #s(literal 1/4 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 x x)))
#s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (fma.f64 (-.f64 (.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(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #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(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(.f64 (neg.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 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 (* (+ (cos (atan x)) 1) 1/2)))))) (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 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)))) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (fma.f64 (/.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) x) #s(literal -1 binary64) #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 (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (fma.f64 (/.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(literal 1 binary64)))
#s(approx (+ (sqrt (/ 1 (+ (* x x) 1))) 1) (fma.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(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (/ 1 (+ (* x x) 1))) (/.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (/ 1 (+ (* 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 (sqrt (/ 1 (+ (* 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 (sqrt (/ 1 (+ (* 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)))

eval124.0ms (2.8%)

Memory: 13.6MiB live, 165.1MiB allocated; 34ms collecting garbage
Compiler: Compiled 37 224 to 3 448 computations (90.7% saved)

prune52.0ms (1.2%)

Memory

-12.8MiB live, 83.8MiB allocated; 14ms collecting garbage

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	810	7	817
Fresh	3	2	5
Picked	3	2	5
Done	0	6	6
Total	816	17	833

Accuracy

100.0%

Counts

833 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (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 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))))
	77.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
✓	51.9%	(/.f64 (-.f64 #s(literal 1 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 #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(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (.f64 x x)) #s(literal 3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	50.9%	(/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (fma.f64 (-.f64 (.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))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	49.3%	(/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
✓	76.3%	(-.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))))))))
✓	26.6%	(-.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)))))
✓	51.1%	(-.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)))))
✓	51.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
	49.6%	#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)))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -35/256 binary64) (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/32 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 x x)) (/.f64 #s(literal 3/16 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 x x) (/.f64 #s(literal 1/4 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 x x)))
	49.3%	#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)))))) (.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 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 x x)))
	52.3%	#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
	49.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 #s(approx (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) (.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))))
✓	28.1%	#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)))
✓	50.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 #s(literal 1/8 binary64) (.f64 x x))))
✓	26.9%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 2 419 to 678 computations (72% saved)

regimes79.0ms (1.8%)

Memory

-4.9MiB live, 83.9MiB allocated; 9ms 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 #s(literal 1/8 binary64) (.f64 x x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #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))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (-.f64 #s(literal 1 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 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (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 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (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 #s(approx (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) (.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (fma.f64 (-.f64 (.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))) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (.f64 x x)) #s(literal 3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (expm1.f64 (.f64 (log1p.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 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)))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
#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)))))) (.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 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 x x)))
(/.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)))))))
#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)))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -35/256 binary64) (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/32 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 x x)) (/.f64 #s(literal 3/16 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 x x) (/.f64 #s(literal 1/4 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 x x)))
(/.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) #s(approx (+ (pow ( (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (-.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) (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 5/16 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 35/256 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))) (.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))

Outputs

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

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

31.0ms	(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)))))
10.0ms	(hypot.f64 #s(literal 1 binary64) x)
8.0ms	x
8.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
6.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes50.0ms (1.1%)

Memory

-4.0MiB live, 95.9MiB allocated; 12ms 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 #s(literal 1/8 binary64) (.f64 x x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #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))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (-.f64 #s(literal 1 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 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (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 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (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 #s(approx (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) (.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (fma.f64 (-.f64 (.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))) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (.f64 x x)) #s(literal 3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (expm1.f64 (.f64 (log1p.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 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)))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
#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)))))) (.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 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 x x)))
(/.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)))))))
#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)))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -35/256 binary64) (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/32 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 x x)) (/.f64 #s(literal 3/16 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 x x) (/.f64 #s(literal 1/4 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 x x)))

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

(/.f64 (-.f64 #s(literal 1 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 #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:

10.0ms	(hypot.f64 #s(literal 1 binary64) x)
7.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
7.0ms	x
7.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
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
100.0%	2	`(hypot.f64 #s(literal 1 binary64) x)`
100.0%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
100.0%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
100.0%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
100.0%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
100.0%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
100.0%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes46.0ms (1%)

Memory

6.8MiB live, 98.7MiB allocated; 7ms collecting garbage

Counts

26 → 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 #s(literal 1/8 binary64) (.f64 x x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #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))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (-.f64 #s(literal 1 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 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (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 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (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 (+ (* 1 1) (* x x)))))) (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 #s(approx (- (exp (* (log (+ 1 (* 1/8 (* x x)))) 3)) 1) (.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (fma.f64 (-.f64 (.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))) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (.f64 x x)) #s(literal 3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (expm1.f64 (.f64 (log1p.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1 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)))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
#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)))))) (.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 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 x x)))
(/.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)))))))

Outputs

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

(/.f64 (-.f64 #s(literal 1 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 #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:

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

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes54.0ms (1.2%)

Memory

3.0MiB live, 50.0MiB allocated; 1ms collecting garbage

Counts

20 → 2

Calls

Call 1

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

Outputs

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

Calls

7 calls:

25.0ms	(+.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
99.9%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.9%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.9%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.9%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.9%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.9%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes59.0ms (1.3%)

Memory

-1.1MiB live, 50.0MiB allocated; 5ms collecting garbage

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

33.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
5.0ms	x
4.0ms	(hypot.f64 #s(literal 1 binary64) x)
4.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
4.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes32.0ms (0.7%)

Memory

13.9MiB live, 58.5MiB allocated; 5ms collecting garbage

Counts

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

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

Calls

7 calls:

7.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
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
99.6%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.6%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.6%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.6%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.6%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.6%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.6%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes28.0ms (0.6%)

Memory

6.8MiB live, 51.8MiB allocated; 3ms 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 #s(literal 1/8 binary64) (.f64 x x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #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))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (-.f64 #s(literal 1 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 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.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)))))))

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 #s(literal 1/8 binary64) (*.f64 x x))))

(/.f64 (-.f64 #s(literal 1 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 #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:

6.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
4.0ms	x
4.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
4.0ms	(hypot.f64 #s(literal 1 binary64) x)
3.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes25.0ms (0.6%)

Memory

8.3MiB live, 51.9MiB allocated; 5ms 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 #s(literal 1/8 binary64) (.f64 x x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #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))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.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 #s(literal 1/8 binary64) (*.f64 x x))))

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

Calls

7 calls:

6.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
4.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms	(hypot.f64 #s(literal 1 binary64) x)
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
98.8%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.8%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.8%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.8%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.8%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.8%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes31.0ms (0.7%)

Memory

-17.9MiB live, 39.7MiB allocated; 23ms collecting garbage

Counts

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

Outputs

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

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

Calls

7 calls:

14.0ms	(-.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	x
3.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms	(hypot.f64 #s(literal 1 binary64) x)
2.0ms	(sqrt.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
98.6%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.6%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.6%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.6%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.6%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.6%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.6%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes33.0ms (0.7%)

Memory

-19.0MiB live, 26.9MiB allocated; 4ms 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 #s(literal 1/8 binary64) (.f64 x x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #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 #s(literal 1/8 binary64) (*.f64 x x))))

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

Calls

7 calls:

20.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms	x
2.0ms	(hypot.f64 #s(literal 1 binary64) x)
2.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
2.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
97.9%	2	`(hypot.f64 #s(literal 1 binary64) x)`
97.9%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
97.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
97.9%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
97.9%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
97.9%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
97.9%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes8.0ms (0.2%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms 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 #s(literal 1/8 binary64) (*.f64 x x))))

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 #s(literal 1/8 binary64) (.f64 x x))))

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
50.7%	1	`(hypot.f64 #s(literal 1 binary64) x)`
50.7%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
50.7%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
50.7%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
50.7%	1	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
50.7%	1	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
50.7%	1	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes7.0ms (0.2%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
26.9%	1	`(hypot.f64 #s(literal 1 binary64) x)`
26.9%	1	`x`
26.9%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
26.9%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
26.9%	1	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
26.9%	1	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
26.9%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch23.0ms (0.5%)

Memory

-2.2MiB live, 43.5MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.006450011600850936	3091431.0676653185

Samples

10.0ms

144×

valid

Compiler

Compiled 1 451 to 679 computations (53.2% saved)

Precisions

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

ival-hypot: 2.0ms (28.9% of total)

ival-div: 1.0ms (14.5% of total)

ival-add: 1.0ms (14.5% of total)

ival-mult: 1.0ms (14.5% of total)

ival-sub: 1.0ms (14.5% of total)

ival-sqrt: 1.0ms (14.5% 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)

bsearch17.0ms (0.4%)

Memory

-12.2MiB live, 34.3MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.006450011600850936	3091431.0676653185

Samples

9.0ms

112×

valid

Compiler

Compiled 1 316 to 544 computations (58.7% saved)

Precisions

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

ival-hypot: 2.0ms (29.9% of total)

ival-sqrt: 2.0ms (29.9% of total)

ival-div: 1.0ms (14.9% of total)

ival-add: 1.0ms (14.9% of total)

ival-mult: 1.0ms (14.9% of total)

ival-sub: 1.0ms (14.9% 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

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.006450011600850936	3091431.0676653185

Compiler

Compiled 857 to 472 computations (44.9% saved)

bsearch6.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.006450011600850936	3091431.0676653185

Samples

2.0ms

32×

valid

Compiler

Compiled 812 to 454 computations (44.1% saved)

Precisions

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

ival-hypot: 1.0ms (66.3% of total)

ival-div: 0.0ms (0% 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)

bsearch27.0ms (0.6%)

Memory

-21.5MiB live, 28.2MiB allocated; 8ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	8.92316540771986e-5	0.003377688927350935

Samples

18.0ms	96×	1	valid
1.0ms	16×	0	valid

Compiler

Compiled 461 to 314 computations (31.9% saved)

Precisions

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

ival-add: 5.0ms (31.2% of total)

ival-hypot: 4.0ms (24.9% of total)

adjust: 3.0ms (18.7% of total)

ival-div: 1.0ms (6.2% of total)

ival-sub: 1.0ms (6.2% of total)

ival-sqrt: 1.0ms (6.2% of total)

ival-mult: 1.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch22.0ms (0.5%)

Memory

-4.5MiB live, 41.6MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	8.92316540771986e-5	0.003377688927350935

Samples

14.0ms

96×

valid

Compiler

Compiled 454 to 293 computations (35.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-hypot: 3.0ms (26.7% of total)

adjust: 2.0ms (17.8% of total)

ival-div: 1.0ms (8.9% of total)

ival-add: 1.0ms (8.9% of total)

ival-mult: 1.0ms (8.9% of total)

ival-sub: 1.0ms (8.9% of total)

ival-sqrt: 1.0ms (8.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	0.006450011600850936	3091431.0676653185

Samples

1.0ms

16×

valid

Compiler

Compiled 749 to 400 computations (46.6% saved)

Precisions

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

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

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

adjust: 0.0ms (0% of total)

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

ival-hypot: 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)

bsearch11.0ms (0.2%)

Memory

20.9MiB live, 20.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	8.92316540771986e-5	0.003377688927350935

Samples

7.0ms

48×

valid

Compiler

Compiled 363 to 251 computations (30.9% saved)

Precisions

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

ival-hypot: 2.0ms (35.5% of total)

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

adjust: 1.0ms (17.7% of total)

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

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

ival-add: 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)

exact: 0.0ms (0% of total)

bsearch8.0ms (0.2%)

Memory

-33.0MiB live, 13.9MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.006450011600850936	3091431.0676653185

Samples

5.0ms

48×

valid

Compiler

Compiled 704 to 409 computations (41.9% saved)

Precisions

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

ival-hypot: 1.0ms (44.1% of total)

ival-div: 0.0ms (0% 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)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.006450011600850936	3091431.0676653185

Compiler

Compiled 506 to 364 computations (28.1% saved)

simplify57.0ms (1.3%)

Memory

9.7MiB live, 55.7MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	921
1	258	873
2	652	861
3	2288	861

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 7782220156096217/288230376151711744 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)))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -35/256 binary64) (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/32 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 x x)) (/.f64 #s(literal 3/16 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 x x) (/.f64 #s(literal 1/4 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 x x))) (/.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) #s(approx (+ (pow ( (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))) (+.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 4728779608739021/4503599627370496 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)))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -35/256 binary64) (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/32 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 x x)) (/.f64 #s(literal 3/16 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 x x) (/.f64 #s(literal 1/4 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 x x))) (/.f64 (-.f64 #s(literal 1 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 #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 4728779608739021/4503599627370496 binary64)) (/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (.f64 x x)) #s(literal 3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (-.f64 #s(literal 1 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 #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 2589569785738035/2251799813685248 binary64)) (/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (fma.f64 (-.f64 (.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))) (+.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) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))))
(if (<=.f64 x #s(literal 5764607523034235/2305843009213693952 binary64)) (/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 3984496719921263/36893488147419103232 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 #s(literal 1/8 binary64) (.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 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 #s(literal 1/8 binary64) (.f64 x x)))) (/.f64 (-.f64 #s(literal 1 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 #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 2176715800697727/18446744073709551616 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 #s(literal 1/8 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 #s(literal 1/8 binary64) (.f64 x x)))) #s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #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 #s(literal 1/8 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (- (+ (* (* (* x x) 1/2) 1/4) 1) 1) (.f64 #s(literal 1/8 binary64) (.f64 x x))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Outputs
(if (<=.f64 x #s(literal 7782220156096217/288230376151711744 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)))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -35/256 binary64) (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/32 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 x x)) (/.f64 #s(literal 3/16 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 x x) (/.f64 #s(literal 1/4 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 x x))) (/.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) #s(approx (+ (pow ( (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))) (+.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 4728779608739021/4503599627370496 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)))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -35/256 binary64) (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/32 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 x x)) (/.f64 #s(literal 3/16 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 x x) (/.f64 #s(literal 1/4 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 x x))) (/.f64 (-.f64 #s(literal 1 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 #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 4728779608739021/4503599627370496 binary64)) (/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (.f64 x x)) #s(literal 3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (-.f64 #s(literal 1 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 #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 2589569785738035/2251799813685248 binary64)) (/.f64 #s(approx (- 1 (* (+ (sqrt (/ 1 (+ (* x x) 1))) 1) 1/2)) (.f64 (fma.f64 (-.f64 (.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))) (+.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) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))))
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derivations347.0ms (7.8%)

Memory

33.5MiB live, 361.5MiB allocated; 32ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 963 to 163 computations (83.1% saved)

preprocess111.0ms (2.5%)

Memory: -31.5MiB live, 113.8MiB allocated; 31ms collecting garbage
Compiler: Compiled 2 276 to 468 computations (79.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (40.5%)

explain184.0ms (4.1%)

preprocess238.0ms (5.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series7.0ms (0.2%)

rewrite171.0ms (3.8%)

eval18.0ms (0.4%)

prune11.0ms (0.2%)

series15.0ms (0.3%)

rewrite225.0ms (5%)

eval61.0ms (1.4%)

prune23.0ms (0.5%)

series39.0ms (0.9%)

rewrite75.0ms (1.7%)

eval41.0ms (0.9%)

prune21.0ms (0.5%)

series31.0ms (0.7%)

rewrite224.0ms (5%)

eval124.0ms (2.8%)

prune52.0ms (1.2%)

regimes79.0ms (1.8%)

regimes50.0ms (1.1%)

regimes46.0ms (1%)

regimes54.0ms (1.2%)

regimes59.0ms (1.3%)

regimes32.0ms (0.7%)

regimes28.0ms (0.6%)

regimes25.0ms (0.6%)

regimes31.0ms (0.7%)

regimes33.0ms (0.7%)

regimes8.0ms (0.2%)

regimes7.0ms (0.2%)

bsearch23.0ms (0.5%)

bsearch17.0ms (0.4%)

bsearch2.0ms (0%)

bsearch6.0ms (0.1%)

bsearch27.0ms (0.6%)

bsearch22.0ms (0.5%)

bsearch3.0ms (0.1%)

bsearch11.0ms (0.2%)

bsearch8.0ms (0.2%)

bsearch1.0ms (0%)

simplify57.0ms (1.3%)

derivations347.0ms (7.8%)

preprocess111.0ms (2.5%)

end0.0ms (0%)

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