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)

sample1.9s (37.5%)

Memory

94.8MiB live, 3 319.0MiB allocated; 602ms collecting garbage

Samples

887.0ms	2 926×	2	valid
421.0ms	4 128×	0	valid
278.0ms	1 202×	1	valid

Precisions

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

ival-hypot: 456.0ms (35.6% of total)

adjust: 199.0ms (15.6% of total)

ival-mult: 165.0ms (12.9% of total)

ival-sqrt: 147.0ms (11.5% of total)

ival-div: 127.0ms (9.9% of total)

ival-add: 94.0ms (7.3% of total)

ival-sub: 80.0ms (6.3% of total)

exact: 10.0ms (0.8% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain194.0ms (3.8%)

Memory

-7.0MiB live, 276.9MiB allocated; 47ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
67	2	(4.973523760942391e-162)	-	`(-.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	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	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(hypot.f64 #s(literal 1 binary64) x)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
0	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	0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
0	0	-	-	`#s(literal 1/2 binary64)`
0	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	69	1

Confusion

	Predicted +	Predicted -
+	67	1
-	2	186

Precision

0.9710144927536232

Recall

0.9852941176470589

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	67	1	0
-	2	0	186

Precision?

0.9714285714285714

Recall?

1.0

Freqs

test

number	freq
0	187
1	69

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

67.0ms	208×	2	valid
19.0ms	222×	0	valid
15.0ms	82×	1	valid

Compiler

Compiled 174 to 31 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-hypot: 28.0ms (35.6% of total)

adjust: 13.0ms (16.5% of total)

ival-sqrt: 11.0ms (14% of total)

ival-div: 8.0ms (10.2% of total)

ival-mult: 7.0ms (8.9% of total)

ival-sub: 5.0ms (6.4% of total)

ival-add: 5.0ms (6.4% of total)

ival-true: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

preprocess273.0ms (5.3%)

Memory

-5.3MiB live, 246.6MiB allocated; 139ms 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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.7%	(-.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)

series8.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated; 0ms collecting garbage

Counts

9 → 69

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	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

3.0ms

((- 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)

rewrite166.0ms (3.2%)

Memory

-18.5MiB live, 264.1MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	310	1408
1	1991	1336
0	8185	1291

Stop Event

1×	iter limit
1×	node limit

Counts

78 → 152

Calls

Call 1

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

eval25.0ms (0.5%)

Memory: -13.9MiB live, 39.8MiB allocated; 12ms collecting garbage
Compiler: Compiled 3 549 to 842 computations (76.3% saved)

prune10.0ms (0.2%)

Memory

23.4MiB live, 23.4MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	144	11	155
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	145	11	156

Accuracy

76.7%

Counts

156 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
▶	76.4%	(/.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)))))
	76.4%	(-.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))))))
	75.8%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.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)))))))
	75.8%	(-.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))))))))
▶	44.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
▶	33.5%	(-.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)))))
	43.3%	(-.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)))))
	43.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	35.0%	(-.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))))
▶	33.9%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 512 to 326 computations (36.3% saved)

series23.0ms (0.5%)

Memory

-12.0MiB live, 32.4MiB allocated; 10ms collecting garbage

Counts

37 → 103

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (* x x) 1/2) (* x x) -1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (- (* 3/16 (* x x)) 1/4) (* 3/16 (* x x)) 3/16 1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (* (+ (* (pow x -2) 1/2) 1) x) (+ (* (pow x -2) 1/2) 1) (pow x -2) -2)
5.0ms	x	@	-inf	((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (* x x) 1/2) (* x x) -1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (- (* 3/16 (* x x)) 1/4) (* 3/16 (* x x)) 3/16 1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (* (+ (* (pow x -2) 1/2) 1) x) (+ (* (pow x -2) 1/2) 1) (pow x -2) -2)
5.0ms	x	@	0	((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (* x x) 1/2) (* x x) -1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (- (* 3/16 (* x x)) 1/4) (* 3/16 (* x x)) 3/16 1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (* (+ (* (pow x -2) 1/2) 1) x) (+ (* (pow x -2) 1/2) 1) (pow x -2) -2)

Time

Variable

Point

Expression

11.0ms

inf

((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (* x x) 1/2) (* x x) -1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (- (* 3/16 (* x x)) 1/4) (* 3/16 (* x x)) 3/16 1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (* (+ (* (pow x -2) 1/2) 1) x) (+ (* (pow x -2) 1/2) 1) (pow x -2) -2)

5.0ms

-inf

((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (* x x) 1/2) (* x x) -1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (- (* 3/16 (* x x)) 1/4) (* 3/16 (* x x)) 3/16 1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (* (+ (* (pow x -2) 1/2) 1) x) (+ (* (pow x -2) 1/2) 1) (pow x -2) -2)

5.0ms

((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (* x x) 1/2) (* x x) -1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (- (* 3/16 (* x x)) 1/4) (* 3/16 (* x x)) 3/16 1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (* (+ (* (pow x -2) 1/2) 1) x) (+ (* (pow x -2) 1/2) 1) (pow x -2) -2)

rewrite195.0ms (3.8%)

Memory

23.5MiB live, 247.6MiB allocated; 71ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	400	2264
1	2442	2146
0	8770	2062

Stop Event

1×	iter limit
1×	node limit

Counts

140 → 439

Calls

Call 1

Inputs
(/ (- 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))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 0))
0
(- 1 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (* (* x x) 1/2) -1/4) 1))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (* (* x x) 1/2) -1/4) 1)))
(+ (* (* (* x x) 1/2) -1/4) 1)
(* (* x x) 1/2)
(* x x)
-1/4
(- 1 (sqrt #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1)))))
(sqrt #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1)))
(+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1)
(- (* 3/16 (* x x)) 1/4)
(* 3/16 (* x x))
3/16
1/4
(- 1 (sqrt (* 1/2 (+ 1 (/ 1 #s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* (+ (* (pow x -2) 1/2) 1) x))))))))
(sqrt (* 1/2 (+ 1 (/ 1 #s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* (+ (* (pow x -2) 1/2) 1) x)))))))
(* 1/2 (+ 1 (/ 1 #s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* (+ (* (pow x -2) 1/2) 1) x))))))
(+ 1 (/ 1 #s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* (+ (* (pow x -2) 1/2) 1) x)))))
(/ 1 #s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* (+ (* (pow x -2) 1/2) 1) x))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* (+ (* (pow x -2) 1/2) 1) x)))
(* (+ (* (pow x -2) 1/2) 1) x)
(+ (* (pow x -2) 1/2) 1)
(pow x -2)
-2
#s(approx (/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (/ (- 1 (* 1/2 (+ 1 (cos (atan x))))) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (- 1 (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (- 1 (* 1/2 (+ 1 (cos (atan x)))))))
#s(approx (* (+ (cos (atan x)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (cos (atan x))))))
#s(approx (+ (cos (atan x)) 1) #s(hole binary64 (+ 1 (cos (atan x)))))
#s(approx (cos (atan x)) #s(hole binary64 (cos (atan x))))
#s(approx (atan x) #s(hole binary64 (atan x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) #s(hole binary64 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))
#s(approx (sqrt (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 1))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (- (* 3/16 (* x x)) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* 3/16 (* x x)) 1/4) #s(hole binary64 (- (* 3/16 (pow x 2)) 1/4)))
#s(approx (* 3/16 (* x x)) #s(hole binary64 (* 3/16 (pow x 2))))
#s(approx (+ 1 (/ 1 (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 (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (/ (+ 1/2 (pow x 2)) x)))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 (/ (+ 1/2 (pow x 2)) (pow x 2))))
#s(approx (pow x -2) #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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/8))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ (* (- (* 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 (/ 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 (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))

Outputs
(/.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 (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 (-.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) (pow.f64 (.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3 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) (pow.f64 (.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3 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)))))
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(*.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)))
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(/.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))))
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(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 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 3 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 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 3 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) (cos.f64 (atan.f64 x)))) (sqrt.f64 #s(literal 2 binary64))))
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#s(approx (sqrt (+ (* 1 1) (* x x))) x)
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#s(approx (* (+ (* (pow x -2) 1/2) 1) x) x)
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#s(approx (+ (* (pow x -2) 1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (pow x -2) 1/2) 1) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (pow.f64 #s(literal 1/2 binary64) #s(literal 7/2 binary64))) x)) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (neg.f64 x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))

eval109.0ms (2.1%)

Memory: 20.9MiB live, 171.1MiB allocated; 82ms collecting garbage
Compiler: Compiled 18 908 to 2 769 computations (85.4% saved)

prune41.0ms (0.8%)

Memory

-23.0MiB live, 67.2MiB allocated; 39ms collecting garbage

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	568	11	579
Fresh	2	4	6
Picked	3	2	5
Done	0	0	0
Total	573	17	590

Accuracy

76.8%

Counts

590 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	33.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #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 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))))
	76.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.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)))) #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)))))
	76.4%	(/.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)))
	76.4%	(/.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)))))
	43.9%	(/.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 (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))))
	33.4%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
	75.8%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.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)))))))
	75.8%	(-.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))))))))
▶	3.0%	(-.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))) #s(approx (* (+ (* (pow x -2) 1/2) 1) x) (/.f64 #s(literal 1/2 binary64) x))))))))
✓	33.5%	(-.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)))))
	43.3%	(-.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)))))
▶	1.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
▶	43.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	35.0%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
▶	3.8%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 x x)))))
✓	33.9%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 1 039 to 596 computations (42.6% saved)

series33.0ms (0.6%)

Memory

-7.4MiB live, 50.5MiB allocated; 16ms collecting garbage

Counts

52 → 126

Calls

Call 1

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

Outputs
#s(approx (/ (/ (- 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 (* 1/4 (pow (+ 1 (cos (atan x))) 2))) (* (+ 1 (* 1/2 (+ 1 (cos (atan x))))) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan 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 (* 1/2 (+ 1 (cos (atan x))))))))
#s(approx (- 1 (pow (* (- (cos (atan x)) -1) 1/2) 2)) #s(hole binary64 (- 1 (* 1/4 (pow (+ 1 (cos (atan x))) 2)))))
#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 (- (cos (atan x)) -1) #s(hole binary64 (+ 1 (cos (atan x)))))
#s(approx (cos (atan x)) #s(hole binary64 (cos (atan x))))
#s(approx (atan x) #s(hole binary64 (atan x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (* (- (cos (atan x)) -1) 1/2)) #s(hole binary64 (+ 1 (* 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 (+ (cos (atan x)) 1) #s(hole binary64 (+ 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 (/ 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 (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (/ (+ 1/2 (pow x 2)) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#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 (* (- (pow x -2) 1/8) (* x x)) #s(hole binary64 1))
#s(approx (* (- (pow x -2) 1/8) (* x x)) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (- (pow x -2) 1/8) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow x -2) 1/8) #s(hole binary64 (/ (+ 1 (* -1/8 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (pow x 4)) #s(hole binary64 1))
#s(approx (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (pow x 4)) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (pow x 4)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) #s(hole binary64 (/ (+ 1 (* -1/4 (pow x 2))) (pow x 4))))
#s(approx (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) (pow x 4))))
#s(approx (+ (pow x -4) 3/16) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (+ (pow x -4) 3/16) #s(hole binary64 (/ (+ 1 (* 3/16 (pow x 4))) (pow x 4))))
#s(approx (pow x -4) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (* (pow x -2) 1/4) #s(hole binary64 (/ 1/4 (pow x 2))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#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 (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/8))))
#s(approx (* (- (pow x -2) 1/8) (* x x)) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (* (- (pow x -2) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/8))))
#s(approx (- (pow x -2) 1/8) #s(hole binary64 -1/8))
#s(approx (- (pow x -2) 1/8) #s(hole binary64 (- (/ 1 (pow x 2)) 1/8)))
#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 (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (pow x 4)) #s(hole binary64 (* 3/16 (pow x 4))))
#s(approx (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (pow x 4)) #s(hole binary64 (* (pow x 4) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (pow x 4)) #s(hole binary64 (* (pow x 4) (- (+ 3/16 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) #s(hole binary64 3/16))
#s(approx (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) #s(hole binary64 (- 3/16 (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) #s(hole binary64 (- (+ 3/16 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ (pow x -4) 3/16) #s(hole binary64 3/16))
#s(approx (+ (pow x -4) 3/16) #s(hole binary64 (+ 3/16 (/ 1 (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
16.0ms	x	@	inf	((/ (/ (- 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) 1/2) 2)) (+ 1 (* (- (cos (atan x)) -1) 1/2))) (- 1 (pow (* (- (cos (atan x)) -1) 1/2) 2)) 1 (pow (* (- (cos (atan x)) -1) 1/2) 2) (* (- (cos (atan x)) -1) 1/2) (- (cos (atan x)) -1) (cos (atan x)) (atan x) x -1 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)) (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (* (+ (* (pow x -2) 1/2) 1) x) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (- (pow x -2) 1/8) (* x x)) (- (pow x -2) 1/8) (pow x -2) -2 1/8 (* x x) (- 1 (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) (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (pow x 4)) (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (+ (pow x -4) 3/16) (pow x -4) -4 3/16 (* (pow x -2) 1/4) 1/4 (pow x 4) 4)
7.0ms	x	@	0	((/ (/ (- 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) 1/2) 2)) (+ 1 (* (- (cos (atan x)) -1) 1/2))) (- 1 (pow (* (- (cos (atan x)) -1) 1/2) 2)) 1 (pow (* (- (cos (atan x)) -1) 1/2) 2) (* (- (cos (atan x)) -1) 1/2) (- (cos (atan x)) -1) (cos (atan x)) (atan x) x -1 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)) (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (* (+ (* (pow x -2) 1/2) 1) x) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (- (pow x -2) 1/8) (* x x)) (- (pow x -2) 1/8) (pow x -2) -2 1/8 (* x x) (- 1 (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) (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (pow x 4)) (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (+ (pow x -4) 3/16) (pow x -4) -4 3/16 (* (pow x -2) 1/4) 1/4 (pow x 4) 4)
7.0ms	x	@	-inf	((/ (/ (- 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) 1/2) 2)) (+ 1 (* (- (cos (atan x)) -1) 1/2))) (- 1 (pow (* (- (cos (atan x)) -1) 1/2) 2)) 1 (pow (* (- (cos (atan x)) -1) 1/2) 2) (* (- (cos (atan x)) -1) 1/2) (- (cos (atan x)) -1) (cos (atan x)) (atan x) x -1 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)) (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (* (+ (* (pow x -2) 1/2) 1) x) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (- (pow x -2) 1/8) (* x x)) (- (pow x -2) 1/8) (pow x -2) -2 1/8 (* x x) (- 1 (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) (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (pow x 4)) (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (+ (pow x -4) 3/16) (pow x -4) -4 3/16 (* (pow x -2) 1/4) 1/4 (pow x 4) 4)

Time

Variable

Point

Expression

16.0ms

inf

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

7.0ms

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

7.0ms

-inf

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

rewrite184.0ms (3.6%)

Memory

30.9MiB live, 311.2MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	446	2961
1	2667	2877
0	8649	2784

Stop Event

1×	iter limit
1×	node limit

Counts

178 → 639

Calls

Call 1

Inputs
(/ (/ (- 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) 1/2) 2)) (+ 1 (* (- (cos (atan x)) -1) 1/2)))
(- 1 (pow (* (- (cos (atan x)) -1) 1/2) 2))
1
(pow (* (- (cos (atan x)) -1) 1/2) 2)
(* (- (cos (atan x)) -1) 1/2)
(- (cos (atan x)) -1)
(cos (atan x))
(atan x)
x
-1
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))
(* (+ (cos (atan x)) 1) 1/2)
(+ (cos (atan x)) 1)
(- 1 (sqrt #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1/2))))
(sqrt #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 (sqrt (* 1/2 (+ 1 (/ 1 #s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 #s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (/ 1/2 x))))))))))
(sqrt (* 1/2 (+ 1 (/ 1 #s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 #s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (/ 1/2 x)))))))))
(* 1/2 (+ 1 (/ 1 #s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 #s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (/ 1/2 x))))))))
(+ 1 (/ 1 #s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 #s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (/ 1/2 x)))))))
(/ 1 #s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 #s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (/ 1/2 x))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 #s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (/ 1/2 x)))))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (/ 1/2 x)))
(/ 1/2 x)
(- 1 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (* (- (pow x -2) 1/8) (* x x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (* (- (pow x -2) 1/8) (* x x))))))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (* (- (pow x -2) 1/8) (* x x))))
(* (- (pow x -2) 1/8) (* x x))
(- (pow x -2) 1/8)
(pow x -2)
-2
1/8
(* x x)
(- 1 (sqrt #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) #s(hole binary64 (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (pow x 4))))))))
(sqrt #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) #s(hole binary64 (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (pow x 4)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) #s(hole binary64 (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (pow x 4))))))
#s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) #s(hole binary64 (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (pow x 4))))
(* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (pow x 4))
(- (+ (pow x -4) 3/16) (* (pow x -2) 1/4))
(+ (pow x -4) 3/16)
(pow x -4)
-4
3/16
(* (pow x -2) 1/4)
1/4
(pow x 4)
4
#s(approx (/ (/ (- 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 (* 1/4 (pow (+ 1 (cos (atan x))) 2))) (* (+ 1 (* 1/2 (+ 1 (cos (atan x))))) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan 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 (* 1/2 (+ 1 (cos (atan x))))))))
#s(approx (- 1 (pow (* (- (cos (atan x)) -1) 1/2) 2)) #s(hole binary64 (- 1 (* 1/4 (pow (+ 1 (cos (atan x))) 2)))))
#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 (- (cos (atan x)) -1) #s(hole binary64 (+ 1 (cos (atan x)))))
#s(approx (cos (atan x)) #s(hole binary64 (cos (atan x))))
#s(approx (atan x) #s(hole binary64 (atan x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (* (- (cos (atan x)) -1) 1/2)) #s(hole binary64 (+ 1 (* 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 (+ (cos (atan x)) 1) #s(hole binary64 (+ 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 (/ 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 (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (/ (+ 1/2 (pow x 2)) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#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 (* (- (pow x -2) 1/8) (* x x)) #s(hole binary64 1))
#s(approx (* (- (pow x -2) 1/8) (* x x)) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (- (pow x -2) 1/8) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow x -2) 1/8) #s(hole binary64 (/ (+ 1 (* -1/8 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (pow x 4)) #s(hole binary64 1))
#s(approx (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (pow x 4)) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (pow x 4)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) #s(hole binary64 (/ (+ 1 (* -1/4 (pow x 2))) (pow x 4))))
#s(approx (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) (pow x 4))))
#s(approx (+ (pow x -4) 3/16) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (+ (pow x -4) 3/16) #s(hole binary64 (/ (+ 1 (* 3/16 (pow x 4))) (pow x 4))))
#s(approx (pow x -4) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (* (pow x -2) 1/4) #s(hole binary64 (/ 1/4 (pow x 2))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#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 (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/8))))
#s(approx (* (- (pow x -2) 1/8) (* x x)) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (* (- (pow x -2) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/8))))
#s(approx (- (pow x -2) 1/8) #s(hole binary64 -1/8))
#s(approx (- (pow x -2) 1/8) #s(hole binary64 (- (/ 1 (pow x 2)) 1/8)))
#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 (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (pow x 4)) #s(hole binary64 (* 3/16 (pow x 4))))
#s(approx (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (pow x 4)) #s(hole binary64 (* (pow x 4) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (pow x 4)) #s(hole binary64 (* (pow x 4) (- (+ 3/16 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) #s(hole binary64 3/16))
#s(approx (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) #s(hole binary64 (- 3/16 (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) #s(hole binary64 (- (+ 3/16 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ (pow x -4) 3/16) #s(hole binary64 3/16))
#s(approx (+ (pow x -4) 3/16) #s(hole binary64 (+ 3/16 (/ 1 (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
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(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #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 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (.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 (-.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) (*.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #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 2 binary64)) #s(literal 1/4 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 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #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 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #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 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(-.f64 (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #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 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 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 6 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 4 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (.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 (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 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64))))
#s(literal 1 binary64)
(.f64 (neg.f64 (.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(.f64 (fabs.f64 (.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (fabs.f64 (*.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(*.f64 (exp.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (cos.f64 (atan.f64 x))))) (exp.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (cos.f64 (atan.f64 x))))))
(*.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 1/4 binary64) (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.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)))
(pow.f64 (exp.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (cos.f64 (atan.f64 x))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (cos.f64 (atan.f64 x)))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (cos.f64 (atan.f64 x)))) #s(literal 2 binary64))) (sinh.f64 (.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (cos.f64 (atan.f64 x)))) #s(literal 2 binary64))))
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(.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)))))
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(*.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)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #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))
(pow.f64 (*.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 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))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (sqrt.f64 #s(literal 2 binary64))))
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(/.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)))))
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(/.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))))
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(/.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)))
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(/.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)))
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#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (cos.f64 (atan.f64 x)))
#s(approx (atan x) (atan.f64 x))
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#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
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#s(approx (sqrt (+ (* 1 1) (* x x))) x)
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#s(approx (+ (pow x -4) 3/16) (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/16 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (pow.f64 #s(literal 1/2 binary64) #s(literal 7/2 binary64))) x)) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (/.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 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (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 (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (neg.f64 x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))

eval92.0ms (1.8%)

Memory: -17.0MiB live, 171.7MiB allocated; 15ms collecting garbage
Compiler: Compiled 31 258 to 3 803 computations (87.8% saved)

prune43.0ms (0.8%)

Memory

-27.4MiB live, 79.9MiB allocated; 13ms collecting garbage

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	707	22	729
Fresh	2	8	10
Picked	4	1	5
Done	0	2	2
Total	713	33	746

Accuracy

76.9%

Counts

746 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (pow.f64 (sqrt.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64))) #s(literal 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)))))
	76.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.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)))))
	76.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 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)))))
	44.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
▶	76.4%	(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #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 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #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)))))
	33.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #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 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))))
	1.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))))) (.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))))))))))
	76.4%	(/.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)))
	76.4%	(/.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)))))
	33.4%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
	1.5%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))))))))
	44.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
▶	75.8%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.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)))))))
	75.8%	(-.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))))))))
✓	33.5%	(-.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)))))
	43.3%	(-.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)))))
	1.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
▶	1.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 x x) (*.f64 x x)))))))
	1.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (neg.f64 (.f64 x x)))) #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
	1.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 #s(approx (- (+ (pow x -4) 3/16) ( (pow x -2) 1/4)) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
	1.3%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 #s(approx (- (+ (pow x -4) 3/16) ( (pow x -2) 1/4)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))))))
✓	43.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	35.0%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
	3.2%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) (.f64 x x)))))
	2.9%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/512 binary64)) (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))))) (*.f64 x x)))))
	3.5%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 x x)))))
	3.4%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))))
	3.8%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)))))
	3.8%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/8 binary64)) (*.f64 x x)))))
	3.5%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x)))))
	4.4%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) x) x))))
▶	2.4%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 #s(approx (- (pow x -2) 1/8) (pow.f64 x #s(literal -2 binary64))) (.f64 x x)))))
✓	33.9%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 2 796 to 1 561 computations (44.2% saved)

series184.0ms (3.6%)

Memory

2.2MiB live, 92.8MiB allocated; 12ms collecting garbage

Counts

52 → 187

Calls

Call 1

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

Outputs
#s(approx (/ (- (pow (+ (* (- (cos (atan x)) -1) 1/2) 1) -1) (/ (* (pow (- (cos (atan x)) -1) 2) 1/4) (+ (* (- (cos (atan x)) -1) 1/2) 1))) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (/ (- (/ 1 (+ 1 (* 1/2 (+ 1 (cos (atan x)))))) (* 1/4 (/ (pow (+ 1 (cos (atan x))) 2) (+ 1 (* 1/2 (+ 1 (cos (atan x)))))))) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (- (pow (+ (* (- (cos (atan x)) -1) 1/2) 1) -1) (/ (* (pow (- (cos (atan x)) -1) 2) 1/4) (+ (* (- (cos (atan x)) -1) 1/2) 1))) #s(hole binary64 (- (/ 1 (+ 1 (* 1/2 (+ 1 (cos (atan x)))))) (* 1/4 (/ (pow (+ 1 (cos (atan x))) 2) (+ 1 (* 1/2 (+ 1 (cos (atan x))))))))))
#s(approx (pow (+ (* (- (cos (atan x)) -1) 1/2) 1) -1) #s(hole binary64 (/ 1 (+ 1 (* 1/2 (+ 1 (cos (atan x))))))))
#s(approx (+ (* (- (cos (atan x)) -1) 1/2) 1) #s(hole binary64 (+ 1 (* 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 (/ (* (pow (- (cos (atan x)) -1) 2) 1/4) (+ (* (- (cos (atan x)) -1) 1/2) 1)) #s(hole binary64 (* 1/4 (/ (pow (+ 1 (cos (atan x))) 2) (+ 1 (* 1/2 (+ 1 (cos (atan x)))))))))
#s(approx (* (pow (- (cos (atan x)) -1) 2) 1/4) #s(hole binary64 (* 1/4 (pow (+ 1 (cos (atan x))) 2))))
#s(approx (pow (- (cos (atan x)) -1) 2) #s(hole binary64 (pow (+ 1 (cos (atan x))) 2)))
#s(approx (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) #s(hole binary64 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))
#s(approx (sqrt (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))
#s(approx (* (+ (cos (atan x)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (cos (atan x))))))
#s(approx (+ (cos (atan x)) 1) #s(hole binary64 (+ 1 (cos (atan x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (+ (* (* x x) -1/8) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/8) 1) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (* 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 (* (- (pow x -2) 1/8) (* x x)) #s(hole binary64 1))
#s(approx (* (- (pow x -2) 1/8) (* x x)) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (- (pow x -2) 1/8) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow x -2) 1/8) #s(hole binary64 (/ (+ 1 (* -1/8 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ (* (- (* 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 (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (* (* x x) (* x x))) #s(hole binary64 1))
#s(approx (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (* (* x x) (* x x))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (* (* x x) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) #s(hole binary64 (/ (+ 1 (* -1/4 (pow x 2))) (pow x 4))))
#s(approx (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) (pow x 4))))
#s(approx (+ (pow x -4) 3/16) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (+ (pow x -4) 3/16) #s(hole binary64 (/ (+ 1 (* 3/16 (pow x 4))) (pow x 4))))
#s(approx (pow x -4) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (* (pow x -2) 1/4) #s(hole binary64 (/ 1/4 (pow x 2))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))))
#s(approx (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))))) #s(hole binary64 1))
#s(approx (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))))) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))) #s(hole binary64 1))
#s(approx (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))) #s(hole binary64 2))
#s(approx (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (+ (* 2 (cosh (asinh x))) 2) #s(hole binary64 4))
#s(approx (+ (* 2 (cosh (asinh x))) 2) #s(hole binary64 (+ 4 (pow x 2))))
#s(approx (+ (* 2 (cosh (asinh x))) 2) #s(hole binary64 (+ 4 (* (pow x 2) (+ 1 (* -1/4 (pow x 2)))))))
#s(approx (+ (* 2 (cosh (asinh x))) 2) #s(hole binary64 (+ 4 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/8 (pow x 2)) 1/4)))))))
#s(approx (cosh (asinh x)) #s(hole binary64 1))
#s(approx (cosh (asinh x)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh (asinh x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (cosh (asinh x)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (asinh x) #s(hole binary64 x))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (* 2 (cosh (asinh x))) #s(hole binary64 2))
#s(approx (* 2 (cosh (asinh x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* 2 (cosh (asinh x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* -1/4 (pow x 2)))))))
#s(approx (* 2 (cosh (asinh x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/8 (pow x 2)) 1/4)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (+ (* (* x x) -1/8) 1) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (* x x) -1/8) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/8))))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/8))))
#s(approx (* (- (pow x -2) 1/8) (* x x)) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (* (- (pow x -2) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/8))))
#s(approx (- (pow x -2) 1/8) #s(hole binary64 -1/8))
#s(approx (- (pow x -2) 1/8) #s(hole binary64 (- (/ 1 (pow x 2)) 1/8)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ (* (- (* 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 (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (* (* x x) (* x x))) #s(hole binary64 (* 3/16 (pow x 4))))
#s(approx (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (* (* x x) (* x x))) #s(hole binary64 (* (pow x 4) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (* (* x x) (* x x))) #s(hole binary64 (* (pow x 4) (- (+ 3/16 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) #s(hole binary64 3/16))
#s(approx (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) #s(hole binary64 (- 3/16 (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) #s(hole binary64 (- (+ 3/16 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ (pow x -4) 3/16) #s(hole binary64 3/16))
#s(approx (+ (pow x -4) 3/16) #s(hole binary64 (+ 3/16 (/ 1 (pow x 4)))))
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#s(approx (* 2 (cosh (asinh x))) #s(hole binary64 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (+ (* -1/4 (/ (exp (+ (log 1/2) (log (/ -1 x)))) (pow x 2))) (+ (/ 1/4 (* (pow x 2) (exp (+ (log 1/2) (log (/ -1 x)))))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))))))
#s(approx (* 2 (cosh (asinh x))) #s(hole binary64 (- (+ (exp (+ (log 1/2) (log (/ -1 x)))) (+ (* -1/4 (/ (exp (+ (log 1/2) (log (/ -1 x)))) (pow x 2))) (+ (* 1/8 (/ (exp (+ (log 1/2) (log (/ -1 x)))) (pow x 4))) (+ (/ 1/4 (* (pow x 2) (exp (+ (log 1/2) (log (/ -1 x)))))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))))) (* 1/16 (/ 1 (* (pow x 4) (exp (+ (log 1/2) (log (/ -1 x))))))))))
#s(approx (* 2 (cosh (asinh x))) #s(hole binary64 (- (+ (exp (+ (log 1/2) (log (/ -1 x)))) (+ (* -1/4 (/ (exp (+ (log 1/2) (log (/ -1 x)))) (pow x 2))) (+ (* -5/64 (/ (exp (+ (log 1/2) (log (/ -1 x)))) (pow x 6))) (+ (* 1/8 (/ (exp (+ (log 1/2) (log (/ -1 x)))) (pow x 4))) (+ (/ 1/32 (* (pow x 6) (exp (+ (log 1/2) (log (/ -1 x)))))) (+ (/ 1/4 (* (pow x 2) (exp (+ (log 1/2) (log (/ -1 x)))))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))))))) (* 1/16 (/ 1 (* (pow x 4) (exp (+ (log 1/2) (log (/ -1 x))))))))))

Calls

3 calls:

Time	Variable		Point	Expression
96.0ms	x	@	inf	((/ (- (pow (+ (* (- (cos (atan x)) -1) 1/2) 1) -1) (/ (* (pow (- (cos (atan x)) -1) 2) 1/4) (+ (* (- (cos (atan x)) -1) 1/2) 1))) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- (pow (+ (* (- (cos (atan x)) -1) 1/2) 1) -1) (/ (* (pow (- (cos (atan x)) -1) 2) 1/4) (+ (* (- (cos (atan x)) -1) 1/2) 1))) (pow (+ (* (- (cos (atan x)) -1) 1/2) 1) -1) (+ (* (- (cos (atan x)) -1) 1/2) 1) (- (cos (atan x)) -1) (cos (atan x)) (atan x) x -1 1/2 1 (/ (* (pow (- (cos (atan x)) -1) 2) 1/4) (+ (* (- (cos (atan x)) -1) 1/2) 1)) (* (pow (- (cos (atan x)) -1) 2) 1/4) (pow (- (cos (atan x)) -1) 2) 2 1/4 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) -1/8) 1) (* x x) -1/8 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (- (pow x -2) 1/8) (* x x)) (- (pow x -2) 1/8) (pow x -2) -2 (- 1 (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) (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (* (* x x) (* x x))) (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (+ (pow x -4) 3/16) (pow x -4) -4 3/16 (* (pow x -2) 1/4) (* (* x x) (* x x)) (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))))) (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))) (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))) (+ (* 2 (cosh (asinh x))) 2) (cosh (asinh x)) (asinh x) (* 2 (cosh (asinh x))))
38.0ms	x	@	-inf	((/ (- (pow (+ (* (- (cos (atan x)) -1) 1/2) 1) -1) (/ (* (pow (- (cos (atan x)) -1) 2) 1/4) (+ (* (- (cos (atan x)) -1) 1/2) 1))) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- (pow (+ (* (- (cos (atan x)) -1) 1/2) 1) -1) (/ (* (pow (- (cos (atan x)) -1) 2) 1/4) (+ (* (- (cos (atan x)) -1) 1/2) 1))) (pow (+ (* (- (cos (atan x)) -1) 1/2) 1) -1) (+ (* (- (cos (atan x)) -1) 1/2) 1) (- (cos (atan x)) -1) (cos (atan x)) (atan x) x -1 1/2 1 (/ (* (pow (- (cos (atan x)) -1) 2) 1/4) (+ (* (- (cos (atan x)) -1) 1/2) 1)) (* (pow (- (cos (atan x)) -1) 2) 1/4) (pow (- (cos (atan x)) -1) 2) 2 1/4 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) -1/8) 1) (* x x) -1/8 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (- (pow x -2) 1/8) (* x x)) (- (pow x -2) 1/8) (pow x -2) -2 (- 1 (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) (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (* (* x x) (* x x))) (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (+ (pow x -4) 3/16) (pow x -4) -4 3/16 (* (pow x -2) 1/4) (* (* x x) (* x x)) (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))))) (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))) (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))) (+ (* 2 (cosh (asinh x))) 2) (cosh (asinh x)) (asinh x) (* 2 (cosh (asinh x))))
14.0ms	x	@	0	((/ (- (pow (+ (* (- (cos (atan x)) -1) 1/2) 1) -1) (/ (* (pow (- (cos (atan x)) -1) 2) 1/4) (+ (* (- (cos (atan x)) -1) 1/2) 1))) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- (pow (+ (* (- (cos (atan x)) -1) 1/2) 1) -1) (/ (* (pow (- (cos (atan x)) -1) 2) 1/4) (+ (* (- (cos (atan x)) -1) 1/2) 1))) (pow (+ (* (- (cos (atan x)) -1) 1/2) 1) -1) (+ (* (- (cos (atan x)) -1) 1/2) 1) (- (cos (atan x)) -1) (cos (atan x)) (atan x) x -1 1/2 1 (/ (* (pow (- (cos (atan x)) -1) 2) 1/4) (+ (* (- (cos (atan x)) -1) 1/2) 1)) (* (pow (- (cos (atan x)) -1) 2) 1/4) (pow (- (cos (atan x)) -1) 2) 2 1/4 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) -1/8) 1) (* x x) -1/8 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (- (pow x -2) 1/8) (* x x)) (- (pow x -2) 1/8) (pow x -2) -2 (- 1 (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) (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (* (* x x) (* x x))) (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (+ (pow x -4) 3/16) (pow x -4) -4 3/16 (* (pow x -2) 1/4) (* (* x x) (* x x)) (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))))) (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))) (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))) (+ (* 2 (cosh (asinh x))) 2) (cosh (asinh x)) (asinh x) (* 2 (cosh (asinh x))))

Time

Variable

Point

Expression

96.0ms

inf

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

38.0ms

-inf

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

14.0ms

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

rewrite271.0ms (5.3%)

Memory

35.9MiB live, 260.5MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	869	21855
1	5715	16514
0	8145	15854

Stop Event

1×	iter limit
1×	node limit

Counts

239 → 445

Calls

Call 1

Inputs
(/ (- (pow (+ (* (- (cos (atan x)) -1) 1/2) 1) -1) (/ (* (pow (- (cos (atan x)) -1) 2) 1/4) (+ (* (- (cos (atan x)) -1) 1/2) 1))) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))
(- (pow (+ (* (- (cos (atan x)) -1) 1/2) 1) -1) (/ (* (pow (- (cos (atan x)) -1) 2) 1/4) (+ (* (- (cos (atan x)) -1) 1/2) 1)))
(pow (+ (* (- (cos (atan x)) -1) 1/2) 1) -1)
(+ (* (- (cos (atan x)) -1) 1/2) 1)
(- (cos (atan x)) -1)
(cos (atan x))
(atan x)
x
-1
1/2
1
(/ (* (pow (- (cos (atan x)) -1) 2) 1/4) (+ (* (- (cos (atan x)) -1) 1/2) 1))
(* (pow (- (cos (atan x)) -1) 2) 1/4)
(pow (- (cos (atan x)) -1) 2)
2
1/4
(+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))
(sqrt (* (+ (cos (atan x)) 1) 1/2))
(* (+ (cos (atan x)) 1) 1/2)
(+ (cos (atan x)) 1)
(- 1 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (* x x) -1/8) 1))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (* x x) -1/8) 1)))
(+ (* (* x x) -1/8) 1)
(* x x)
-1/8
(- 1 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (* #s(approx (- (pow x -2) 1/8) #s(hole binary64 (pow x -2))) (* x x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (* #s(approx (- (pow x -2) 1/8) #s(hole binary64 (pow x -2))) (* x x))))))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) #s(hole binary64 (* #s(approx (- (pow x -2) 1/8) #s(hole binary64 (pow x -2))) (* x x))))
(* #s(approx (- (pow x -2) 1/8) #s(hole binary64 (pow x -2))) (* x x))
#s(approx (- (pow x -2) 1/8) #s(hole binary64 (pow x -2)))
(pow x -2)
-2
(- 1 (sqrt #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) #s(hole binary64 (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (* (* x x) (* x x)))))))))
(sqrt #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) #s(hole binary64 (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (* (* x x) (* x x))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) #s(hole binary64 (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (* (* x x) (* x x)))))))
#s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) #s(hole binary64 (* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (* (* x x) (* x x)))))
(* (- (+ (pow x -4) 3/16) (* (pow x -2) 1/4)) (* (* x x) (* x x)))
(- (+ (pow x -4) 3/16) (* (pow x -2) 1/4))
(+ (pow x -4) 3/16)
(pow x -4)
-4
3/16
(* (pow x -2) 1/4)
(* (* x x) (* x x))
(- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))))))
(sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))
(* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))))
(/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))
(+ (* 2 (cosh (asinh x))) 2)
(cosh (asinh x))
(asinh x)
(* 2 (cosh (asinh x)))
#s(approx (/ (- (pow (+ (* (- (cos (atan x)) -1) 1/2) 1) -1) (/ (* (pow (- (cos (atan x)) -1) 2) 1/4) (+ (* (- (cos (atan x)) -1) 1/2) 1))) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (/ (- (/ 1 (+ 1 (* 1/2 (+ 1 (cos (atan x)))))) (* 1/4 (/ (pow (+ 1 (cos (atan x))) 2) (+ 1 (* 1/2 (+ 1 (cos (atan x)))))))) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (- (pow (+ (* (- (cos (atan x)) -1) 1/2) 1) -1) (/ (* (pow (- (cos (atan x)) -1) 2) 1/4) (+ (* (- (cos (atan x)) -1) 1/2) 1))) #s(hole binary64 (- (/ 1 (+ 1 (* 1/2 (+ 1 (cos (atan x)))))) (* 1/4 (/ (pow (+ 1 (cos (atan x))) 2) (+ 1 (* 1/2 (+ 1 (cos (atan x))))))))))
#s(approx (pow (+ (* (- (cos (atan x)) -1) 1/2) 1) -1) #s(hole binary64 (/ 1 (+ 1 (* 1/2 (+ 1 (cos (atan x))))))))
#s(approx (+ (* (- (cos (atan x)) -1) 1/2) 1) #s(hole binary64 (+ 1 (* 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 (/ (* (pow (- (cos (atan x)) -1) 2) 1/4) (+ (* (- (cos (atan x)) -1) 1/2) 1)) #s(hole binary64 (* 1/4 (/ (pow (+ 1 (cos (atan x))) 2) (+ 1 (* 1/2 (+ 1 (cos (atan x)))))))))
#s(approx (* (pow (- (cos (atan x)) -1) 2) 1/4) #s(hole binary64 (* 1/4 (pow (+ 1 (cos (atan x))) 2))))
#s(approx (pow (- (cos (atan x)) -1) 2) #s(hole binary64 (pow (+ 1 (cos (atan x))) 2)))
#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)))))))
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#s(approx (* 2 (cosh (asinh x))) #s(hole binary64 (+ (exp (+ (log 1/2) (log (/ -1 x)))) (+ (* -1/4 (/ (exp (+ (log 1/2) (log (/ -1 x)))) (pow x 2))) (+ (/ 1/4 (* (pow x 2) (exp (+ (log 1/2) (log (/ -1 x)))))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))))))
#s(approx (* 2 (cosh (asinh x))) #s(hole binary64 (- (+ (exp (+ (log 1/2) (log (/ -1 x)))) (+ (* -1/4 (/ (exp (+ (log 1/2) (log (/ -1 x)))) (pow x 2))) (+ (* 1/8 (/ (exp (+ (log 1/2) (log (/ -1 x)))) (pow x 4))) (+ (/ 1/4 (* (pow x 2) (exp (+ (log 1/2) (log (/ -1 x)))))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))))) (* 1/16 (/ 1 (* (pow x 4) (exp (+ (log 1/2) (log (/ -1 x))))))))))
#s(approx (* 2 (cosh (asinh x))) #s(hole binary64 (- (+ (exp (+ (log 1/2) (log (/ -1 x)))) (+ (* -1/4 (/ (exp (+ (log 1/2) (log (/ -1 x)))) (pow x 2))) (+ (* -5/64 (/ (exp (+ (log 1/2) (log (/ -1 x)))) (pow x 6))) (+ (* 1/8 (/ (exp (+ (log 1/2) (log (/ -1 x)))) (pow x 4))) (+ (/ 1/32 (* (pow x 6) (exp (+ (log 1/2) (log (/ -1 x)))))) (+ (/ 1/4 (* (pow x 2) (exp (+ (log 1/2) (log (/ -1 x)))))) (/ 1 (exp (+ (log 1/2) (log (/ -1 x))))))))))) (* 1/16 (/ 1 (* (pow x 4) (exp (+ (log 1/2) (log (/ -1 x))))))))))

Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #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 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #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 (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #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 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #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 (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 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 (*.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #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 (.f64 (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #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 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #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 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))))
(fma.f64 (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(-.f64 (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #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 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #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) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(exp.f64 (.f64 (log1p.f64 (.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log1p.f64 (.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (-.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 binary64)) (-.f64 (.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.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) (.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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) (.f64 (*.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.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 binary64) (.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) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (atan.f64 x)) #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)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64))))
(+.f64 (*.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.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 (sin.f64 (atan.f64 x)) (sin.f64 (atan.f64 x)))) (+.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (sin.f64 (atan.f64 x)) (sin.f64 (atan.f64 x)))) (-.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 (cosh.f64 (asinh.f64 x)) #s(literal -3 binary64)) #s(literal -1 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) (cos.f64 (atan.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) (cos.f64 (atan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 (atan.f64 x)) (cos.f64 (atan.f64 x))) (cos.f64 (atan.f64 x)))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (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))))
(cos.f64 (neg.f64 (neg.f64 (atan.f64 x))))
(cos.f64 (atan.f64 (pow.f64 x #s(literal 1 binary64))))
(cos.f64 (atan.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 (atan.f64 x)))
(cos.f64 (atan.f64 x))
(exp.f64 (*.f64 (log.f64 (cosh.f64 (asinh.f64 x))) #s(literal -1 binary64)))
(+.f64 (.f64 (sin.f64 (atan.f64 x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (atan.f64 x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(atan.f64 x)
x
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.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 1/4 binary64) (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 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 2 binary64)))
(pow.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 2 binary64)))
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#s(literal 2 binary64)
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(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 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)))))
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#s(approx (asinh x) x)
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#s(approx (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) #s(literal 2 binary64))))) (.f64 x x)) #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))))) (/.f64 (exp.f64 (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) (*.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))))))
#s(approx (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))) (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))))) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) #s(literal 2 binary64))))) (.f64 x x)) #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))))) (/.f64 (exp.f64 (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) (*.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))))))))
#s(approx (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))) (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))))) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 5/64 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))))) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) #s(literal 2 binary64)) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 5/64 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))))) (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) #s(literal 2 binary64))))) (.f64 (-.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))))) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))))) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) #s(literal 2 binary64))))) (.f64 x x)) #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))))) (/.f64 (exp.f64 (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) (*.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))))))))
#s(approx (+ (* 2 (cosh (asinh x))) 2) (fma.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))
#s(approx (+ (* 2 (cosh (asinh x))) 2) (+.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))) (.f64 x x)) #s(literal 1/4 binary64) (exp.f64 (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))))))))
#s(approx (+ (* 2 (cosh (asinh x))) 2) (+.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64)))) #s(literal 1/8 binary64) (exp.f64 (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))))) (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))))))))
#s(approx (+ (* 2 (cosh (asinh x))) 2) (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/32 binary64) (fma.f64 (/.f64 (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64)))) #s(literal 1/8 binary64) (exp.f64 (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))))))) (+.f64 (/.f64 (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))))))))
#s(approx (cosh (asinh x)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) #s(literal 1/2 binary64)))
#s(approx (cosh (asinh x)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (.f64 x x)))))
#s(approx (cosh (asinh x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (.f64 x x))) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) #s(literal 1/2 binary64))))
#s(approx (cosh (asinh x)) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/32 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 5/64 binary64) (.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1 binary64))))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (.f64 x x)))))))
#s(approx (asinh x) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
#s(approx (asinh x) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (log.f64 (pow.f64 x #s(literal 1 binary64)))) (log.f64 #s(literal 2 binary64))))
#s(approx (asinh x) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (log.f64 (pow.f64 x #s(literal 1 binary64)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (asinh x) (-.f64 (+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* 2 (cosh (asinh x))) (*.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))))
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#s(literal -1/16 binary64) (exp.f64 (neg.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))))))
#s(approx (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))) (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))))
#s(approx (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (.f64 x x)) #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))) (/.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))))))
#s(approx (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (.f64 #s(literal -1/16 binary64) (exp.f64 (neg.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (.f64 (/.f64 (.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (.f64 #s(literal -1/16 binary64) (exp.f64 (neg.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))) (/.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))))))
#s(approx (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (fma.f64 #s(literal -5/64 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/32 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -5/64 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/32 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (.f64 #s(literal -1/16 binary64) (exp.f64 (neg.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (.f64 (/.f64 (.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (.f64 #s(literal -1/16 binary64) (exp.f64 (neg.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (.f64 #s(literal -1/16 binary64) (exp.f64 (neg.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))) (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (.f64 #s(literal -1/16 binary64) (exp.f64 (neg.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (.f64 (/.f64 (.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (.f64 #s(literal -1/16 binary64) (exp.f64 (neg.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))) (/.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))))))))
#s(approx (+ (* 2 (cosh (asinh x))) 2) (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
#s(approx (+ (* 2 (cosh (asinh x))) 2) (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) (fma.f64 (/.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (.f64 x x)) #s(literal -1/4 binary64) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) (exp.f64 (neg.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))))))
#s(approx (+ (* 2 (cosh (asinh x))) 2) (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) (fma.f64 (/.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (.f64 x x)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) (exp.f64 (neg.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))))) (.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) #s(literal 1/16 binary64))))
#s(approx (+ (* 2 (cosh (asinh x))) 2) (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) (fma.f64 (/.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (.f64 x x)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal -5/64 binary64) (fma.f64 (/.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) (exp.f64 (neg.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))))))) (.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) #s(literal 1/16 binary64))))
#s(approx (cosh (asinh x)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
#s(approx (cosh (asinh x)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (*.f64 x x)))))
#s(approx (cosh (asinh x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (.f64 x x))) (.f64 (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (.f64 #s(literal -1/16 binary64) (exp.f64 (neg.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))))
#s(approx (cosh (asinh x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (.f64 x x))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -5/64 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/32 binary64) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (.f64 #s(literal -1/16 binary64) (exp.f64 (neg.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (asinh x) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (asinh x) (-.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))))
#s(approx (* 2 (cosh (asinh x))) (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (* 2 (cosh (asinh x))) (+.f64 (fma.f64 (/.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (.f64 x x)) #s(literal -1/4 binary64) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) (exp.f64 (neg.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (* 2 (cosh (asinh x))) (-.f64 (+.f64 (fma.f64 (/.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (.f64 x x)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) (exp.f64 (neg.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))))) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) #s(literal 1/16 binary64))))
#s(approx (* 2 (cosh (asinh x))) (-.f64 (+.f64 (fma.f64 (/.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (.f64 x x)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal -5/64 binary64) (fma.f64 (/.f64 (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) (exp.f64 (neg.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))))))) (exp.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) #s(literal 1/16 binary64))))

eval88.0ms (1.7%)

Memory: 24.5MiB live, 167.9MiB allocated; 23ms collecting garbage
Compiler: Compiled 37 962 to 3 269 computations (91.4% saved)

prune89.0ms (1.7%)

Memory

-35.6MiB live, 65.5MiB allocated; 11ms collecting garbage

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	639	8	647
Fresh	18	7	25
Picked	4	1	5
Done	1	2	3
Total	662	18	680

Accuracy

100.0%

Counts

680 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (pow.f64 (sqrt.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64))) #s(literal 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)))))
	76.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 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)))))
	76.4%	(/.f64 (-.f64 (pow.f64 (fma.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) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #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)))))
	44.0%	(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #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 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (/.f64 (-.f64 #s(literal 1 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 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
	76.4%	(/.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)))
	76.4%	(/.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)))))
	44.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
	52.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)))))))
	75.8%	(-.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))))))))
	43.3%	(-.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)))))
✓	43.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	33.5%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓	35.0%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
	57.1%	#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
	58.3%	#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
	57.1%	#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
	58.2%	#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
✓	33.9%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 2 594 to 703 computations (72.9% saved)

regimes153.0ms (3%)

Memory

9.8MiB live, 140.9MiB allocated; 14ms collecting garbage

Counts

53 → 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 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(-.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 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 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(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #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) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/8 binary64)) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) #s(approx (* (+ (* (pow x -2) 1/2) 1) x) (/.f64 #s(literal 1/2 binary64) x))))))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.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)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 #s(approx (- (pow x -2) 1/8) (pow.f64 x #s(literal -2 binary64))) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) x) x))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #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) (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) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #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 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 #s(approx (- (+ (pow x -4) 3/16) ( (pow x -2) 1/4)) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 #s(approx (- (+ (pow x -4) 3/16) ( (pow x -2) 1/4)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 x x) (*.f64 x x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (neg.f64 (.f64 x x)))) #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(/.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) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/512 binary64)) (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))))) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)))))))
(/.f64 (-.f64 #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 (-.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 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 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 (/.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)))) #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) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (pow.f64 (sqrt.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64))) #s(literal 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)))))
(/.f64 (-.f64 (pow.f64 (fma.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) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #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 (-.f64 (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #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 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #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 (/.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 (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))))) (.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #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 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (/.f64 (-.f64 #s(literal 1 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 #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 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

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

Calls

7 calls:

61.0ms	(-.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))))))
29.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
14.0ms	(hypot.f64 #s(literal 1 binary64) x)
13.0ms	x
12.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))

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)

regimes83.0ms (1.6%)

Memory

30.0MiB live, 163.8MiB allocated; 40ms collecting garbage

Counts

39 → 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 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(-.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 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 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(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #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) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/8 binary64)) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) #s(approx (* (+ (* (pow x -2) 1/2) 1) x) (/.f64 #s(literal 1/2 binary64) x))))))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.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)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 #s(approx (- (pow x -2) 1/8) (pow.f64 x #s(literal -2 binary64))) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) x) x))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #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) (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) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #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 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 #s(approx (- (+ (pow x -4) 3/16) ( (pow x -2) 1/4)) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 #s(approx (- (+ (pow x -4) 3/16) ( (pow x -2) 1/4)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 x x) (*.f64 x x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (neg.f64 (.f64 x x)))) #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(/.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) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/512 binary64)) (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))))) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)))))))
(/.f64 (-.f64 #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 (-.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)))

Outputs

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

(/.f64 (-.f64 #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)))

Calls

7 calls:

21.0ms	(-.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))))))
13.0ms	(hypot.f64 #s(literal 1 binary64) x)
12.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
10.0ms	x
9.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))

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)

regimes72.0ms (1.4%)

Memory

-16.4MiB live, 142.8MiB allocated; 24ms collecting garbage

Counts

38 → 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 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(-.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 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 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(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #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) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/8 binary64)) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) #s(approx (* (+ (* (pow x -2) 1/2) 1) x) (/.f64 #s(literal 1/2 binary64) x))))))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.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)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 #s(approx (- (pow x -2) 1/8) (pow.f64 x #s(literal -2 binary64))) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) x) x))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #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) (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) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #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 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 #s(approx (- (+ (pow x -4) 3/16) ( (pow x -2) 1/4)) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 #s(approx (- (+ (pow x -4) 3/16) ( (pow x -2) 1/4)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 x x) (*.f64 x x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (neg.f64 (.f64 x x)))) #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(/.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) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/512 binary64)) (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))))) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))

Outputs

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

(/.f64 (-.f64 #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)))))

Calls

7 calls:

15.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
12.0ms	x
12.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
8.0ms	(hypot.f64 #s(literal 1 binary64) x)
7.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
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)

regimes73.0ms (1.4%)

Memory

-15.1MiB live, 74.9MiB allocated; 12ms collecting garbage

Counts

30 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(-.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 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 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(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #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) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/8 binary64)) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) #s(approx (* (+ (* (pow x -2) 1/2) 1) x) (/.f64 #s(literal 1/2 binary64) x))))))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.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)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 #s(approx (- (pow x -2) 1/8) (pow.f64 x #s(literal -2 binary64))) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) x) x))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #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) (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) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #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 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 #s(approx (- (+ (pow x -4) 3/16) ( (pow x -2) 1/4)) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 #s(approx (- (+ (pow x -4) 3/16) ( (pow x -2) 1/4)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 x x) (*.f64 x x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (- (* 3/16 (* x x)) 1/4) (* x x)) 1) (.f64 (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (neg.f64 (.f64 x x)))) #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64)))))))

Outputs

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

(-.f64 #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:

28.0ms	(hypot.f64 #s(literal 1 binary64) x)
10.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
8.0ms	x
7.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
6.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
99.3%	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)

regimes26.0ms (0.5%)

Memory

42.7MiB live, 42.7MiB allocated; 0ms collecting garbage

Counts

15 → 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 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(-.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 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 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(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #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) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/8 binary64)) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) #s(approx (* (+ (* (pow x -2) 1/2) 1) x) (/.f64 #s(literal 1/2 binary64) x))))))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))

Outputs

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
98.8%	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)

regimes51.0ms (1%)

Memory

-40.6MiB live, 57.1MiB allocated; 20ms 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 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(-.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 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 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(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #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) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/8 binary64)) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) #s(approx (* (+ (* (pow x -2) 1/2) 1) x) (/.f64 #s(literal 1/2 binary64) x))))))))

Outputs

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

(-.f64 #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:

27.0ms	x
7.0ms	(hypot.f64 #s(literal 1 binary64) x)
4.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
3.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
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)

regimes23.0ms (0.4%)

Memory

0.3MiB live, 45.3MiB allocated; 5ms 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 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(-.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 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 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(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)))))

Outputs

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

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

Calls

7 calls:

6.0ms	(hypot.f64 #s(literal 1 binary64) x)
3.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms	(-.f64 #s(literal 1 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
98.7%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.7%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.7%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.7%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.7%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.7%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes15.0ms (0.3%)

Memory

38.9MiB live, 38.9MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(-.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 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x)))))) (fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))

Outputs

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
97.7%	2	`(hypot.f64 #s(literal 1 binary64) x)`
97.7%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
97.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
97.7%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
97.7%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
97.7%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
97.7%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes16.0ms (0.3%)

Memory

-9.0MiB live, 35.0MiB allocated; 7ms collecting garbage

Counts

5 → 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 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(-.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 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
97.3%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
97.3%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
97.3%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
97.3%	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)))))`
97.3%	2	`(hypot.f64 #s(literal 1 binary64) x)`
97.3%	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))))))`
97.3%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes12.0ms (0.2%)

Memory

-34.1MiB live, 23.0MiB allocated; 7ms 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 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))

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

Calls

7 calls:

5.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms	x
1.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
1.0ms	(hypot.f64 #s(literal 1 binary64) x)
1.0ms	(-.f64 #s(literal 1 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
58.2%	1	`(hypot.f64 #s(literal 1 binary64) x)`
58.2%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
58.2%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
58.2%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
58.2%	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)))))`
58.2%	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))))))`
58.2%	1	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes7.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
33.9%	1	`(hypot.f64 #s(literal 1 binary64) x)`
33.9%	1	`x`
33.9%	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))))))`
33.9%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
33.9%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
33.9%	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)))))`
33.9%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch81.0ms (1.6%)

Memory

-11.9MiB live, 33.0MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
79.0ms	0.00016851932447464868	0.49782585777754634

Samples

69.0ms	96×	0	valid
5.0ms	32×	1	valid

Compiler

Compiled 588 to 381 computations (35.2% saved)

Precisions

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

ival-add: 63.0ms (89.3% of total)

ival-hypot: 3.0ms (4.3% of total)

ival-div: 1.0ms (1.4% of total)

adjust: 1.0ms (1.4% of total)

ival-sub: 1.0ms (1.4% of total)

ival-sqrt: 1.0ms (1.4% of total)

ival-mult: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch14.0ms (0.3%)

Memory

29.6MiB live, 29.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.00016851932447464868	0.49782585777754634

Samples

8.0ms

112×

valid

Compiler

Compiled 460 to 301 computations (34.6% saved)

Precisions

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

ival-hypot: 2.0ms (37.8% of total)

ival-div: 1.0ms (18.9% of total)

ival-add: 1.0ms (18.9% of total)

ival-mult: 1.0ms (18.9% of total)

ival-sqrt: 1.0ms (18.9% of total)

adjust: 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)

bsearch2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.00016851932447464868	0.49782585777754634

Compiler

Compiled 492 to 325 computations (33.9% saved)

bsearch28.0ms (0.5%)

Memory

-34.0MiB live, 12.1MiB allocated; 8ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	0.00016851932447464868	0.49782585777754634

Samples

24.0ms

48×

valid

Compiler

Compiled 412 to 277 computations (32.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-hypot: 22.0ms (94.9% 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)

bsearch12.0ms (0.2%)

Memory

22.0MiB live, 22.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.49782585777754634	2.9363482973955803

Samples

7.0ms

96×

valid

Compiler

Compiled 398 to 265 computations (33.4% saved)

Precisions

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

ival-hypot: 2.0ms (43.5% of total)

ival-div: 1.0ms (21.8% of total)

ival-mult: 1.0ms (21.8% of total)

ival-sqrt: 1.0ms (21.8% of total)

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

adjust: 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)

bsearch3.0ms (0.1%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	0.49782585777754634	2.9363482973955803

Samples

1.0ms

16×

valid

Compiler

Compiled 368 to 253 computations (31.3% 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)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.49782585777754634	2.9363482973955803

Compiler

Compiled 332 to 235 computations (29.2% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.49782585777754634	2.9363482973955803

Compiler

Compiled 308 to 223 computations (27.6% saved)

bsearch41.0ms (0.8%)

Memory

-28.7MiB live, 14.2MiB allocated; 11ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	0.49782585777754634	2.9363482973955803

Samples

37.0ms

80×

valid

Compiler

Compiled 278 to 211 computations (24.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-hypot: 32.0ms (91.6% of total)

ival-div: 1.0ms (2.9% of total)

ival-sqrt: 1.0ms (2.9% 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)

exact: 0.0ms (0% of total)

simplify83.0ms (1.6%)

Memory

-8.6MiB live, 78.6MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	565
1	172	513
2	396	473
3	2043	473

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 5188146770730811/576460752303423488 binary64)) #s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 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))))))
(if (<=.f64 x #s(literal 6456360425798343/576460752303423488 binary64)) #s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (/.f64 (-.f64 #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))))
(if (<=.f64 x #s(literal 6456360425798343/576460752303423488 binary64)) #s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (/.f64 (-.f64 #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))))))
(if (<=.f64 x #s(literal 7493989779944505/576460752303423488 binary64)) #s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #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 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #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 5404319552844595/4503599627370496 binary64)) #s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #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 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 3422735716801577/2251799813685248 binary64)) #s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Outputs
(if (<=.f64 x #s(literal 5188146770730811/576460752303423488 binary64)) #s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 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))))))
(if (<=.f64 x #s(literal 5188146770730811/576460752303423488 binary64)) #s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 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))))))
(if (<=.f64 x #s(literal 6456360425798343/576460752303423488 binary64)) #s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (/.f64 (-.f64 #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))))
(if (<=.f64 x #s(literal 6456360425798343/576460752303423488 binary64)) #s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (/.f64 (-.f64 #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))))))
(if (<=.f64 x #s(literal 6456360425798343/576460752303423488 binary64)) #s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (/.f64 (-.f64 #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))))))
(if (<=.f64 x #s(literal 7493989779944505/576460752303423488 binary64)) #s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #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 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #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 5404319552844595/4503599627370496 binary64)) #s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #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 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 3422735716801577/2251799813685248 binary64)) #s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (cosh (asinh x))) 2) (* 2 (cosh (asinh x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

derivations301.0ms (5.9%)

Memory

-4.8MiB live, 426.8MiB allocated; 44ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 577 to 107 computations (81.5% saved)

preprocess83.0ms (1.6%)

Memory: -6.4MiB live, 86.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 328 to 320 computations (75.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.9s (37.5%)

explain194.0ms (3.8%)

preprocess273.0ms (5.3%)

eval0.0ms (0%)

prune1.0ms (0%)

series8.0ms (0.1%)

rewrite166.0ms (3.2%)

eval25.0ms (0.5%)

prune10.0ms (0.2%)

series23.0ms (0.5%)

rewrite195.0ms (3.8%)

eval109.0ms (2.1%)

prune41.0ms (0.8%)

series33.0ms (0.6%)

rewrite184.0ms (3.6%)

eval92.0ms (1.8%)

prune43.0ms (0.8%)

series184.0ms (3.6%)

rewrite271.0ms (5.3%)

eval88.0ms (1.7%)

prune89.0ms (1.7%)

regimes153.0ms (3%)

regimes83.0ms (1.6%)

regimes72.0ms (1.4%)

regimes73.0ms (1.4%)

regimes26.0ms (0.5%)

regimes51.0ms (1%)

regimes23.0ms (0.4%)

regimes15.0ms (0.3%)

regimes16.0ms (0.3%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch81.0ms (1.6%)

bsearch14.0ms (0.3%)

bsearch2.0ms (0%)

bsearch28.0ms (0.5%)

bsearch12.0ms (0.2%)

bsearch3.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch41.0ms (0.8%)

simplify83.0ms (1.6%)

derivations301.0ms (5.9%)

preprocess83.0ms (1.6%)

end0.0ms (0%)

Profiling