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

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

sample2.5s (44%)

Memory

-73.1MiB live, 2 746.2MiB allocated; 1.5s collecting garbage

Samples

1.6s	2 867×	2	valid
321.0ms	4 186×	0	valid
213.0ms	1 203×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-hypot: 944.0ms (50.2% of total)

ival-mult: 258.0ms (13.7% of total)

adjust: 246.0ms (13.1% of total)

ival-div: 130.0ms (6.9% of total)

ival-sqrt: 117.0ms (6.2% of total)

ival-sub: 99.0ms (5.3% of total)

ival-add: 74.0ms (3.9% of total)

exact: 10.0ms (0.5% of total)

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

Bogosity

explain180.0ms (3.1%)

Memory

32.1MiB live, 264.8MiB allocated; 37ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`	cancellation	69	0

Confusion

	Predicted +	Predicted -
+	69	0
-	0	187

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	69	0	0
-	0	0	187

Precision?

1.0

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

58.0ms	164×	2	valid
24.0ms	264×	0	valid
19.0ms	84×	1	valid

Compiler

Compiled 174 to 31 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-hypot: 25.0ms (34.1% of total)

adjust: 11.0ms (15% of total)

ival-div: 10.0ms (13.6% of total)

ival-mult: 9.0ms (12.3% of total)

ival-sqrt: 7.0ms (9.5% of total)

ival-sub: 5.0ms (6.8% of total)

ival-add: 5.0ms (6.8% of total)

exact: 1.0ms (1.4% of total)

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

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

preprocess213.0ms (3.7%)

Memory

-8.2MiB live, 174.2MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x)

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Compiler

Compiled 12 to 9 computations (25% saved)

series7.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

9 → 69

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

rewrite162.0ms (2.8%)

Memory

33.1MiB live, 217.2MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

78 → 149

Calls

Call 1

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

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

eval21.0ms (0.4%)

Memory: -38.6MiB live, 54.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 533 to 825 computations (76.6% saved)

prune8.0ms (0.1%)

Memory

24.9MiB live, 24.9MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	143	9	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	144	9	153

Accuracy

75.6%

Counts

153 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
▶	75.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
▶	75.2%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
▶	74.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
	52.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
	51.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
	52.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	25.8%	(-.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))))
▶	25.1%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 418 to 262 computations (37.3% saved)

series25.0ms (0.4%)

Memory

-22.8MiB live, 38.2MiB allocated; 21ms collecting garbage

Counts

29 → 112

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
12.0ms	x	@	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 (+ (* x x) 1))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (- (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))
6.0ms	x	@	0	((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (* x x) 1/2) (* x x) -1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (- (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))
5.0ms	x	@	-inf	((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)) 1 (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) x 1/2 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* x x) 1/2) -1/4) 1) (* (* x x) 1/2) (* x x) -1/4 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (- (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))

Time

Variable

Point

Expression

12.0ms

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

6.0ms

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

5.0ms

-inf

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

rewrite164.0ms (2.8%)

Memory

21.0MiB live, 297.1MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	416	3284
0	456	2484
1	2441	2346
0	8635	2276

Stop Event

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

Counts

141 → 483

Calls

Call 1

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

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

eval85.0ms (1.5%)

Memory: 14.0MiB live, 152.2MiB allocated; 23ms collecting garbage
Compiler: Compiled 25 040 to 2 465 computations (90.2% saved)

prune29.0ms (0.5%)

Memory

-29.3MiB live, 61.7MiB allocated; 9ms collecting garbage

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	710	14	724
Fresh	3	1	4
Picked	3	2	5
Done	0	0	0
Total	716	17	733

Accuracy

75.7%

Counts

733 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.2%	(/.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)))))
	74.5%	(/.f64 (-.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 -3 binary64)) (pow.f64 (/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 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 -2 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (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 2 binary64))))))
	75.2%	(/.f64 (-.f64 (/.f64 #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 (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	75.2%	(/.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)))))))
▶	24.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
	24.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
▶	50.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	75.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
▶	75.2%	(/.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) (.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))
	75.2%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
✓	74.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
	52.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
	51.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
▶	52.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))
	25.8%	(-.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))))
▶	3.6%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 x x)))))
✓	25.1%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 1 143 to 568 computations (50.3% saved)

series40.0ms (0.7%)

Memory

6.0MiB live, 56.8MiB allocated; 11ms collecting garbage

Counts

46 → 169

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

Outputs
#s(approx (/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (* (sqrt (+ (cos (atan x)) 1)) (sqrt 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)) (sqrt 1/2))) #s(hole binary64 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))
#s(approx (* (sqrt (+ (cos (atan x)) 1)) (sqrt 1/2)) #s(hole binary64 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))
#s(approx (sqrt (+ (cos (atan x)) 1)) #s(hole binary64 (sqrt (+ 1 (cos (atan x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (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 (* (- (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 (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) #s(hole binary64 (/ (- 1 (* (pow (sqrt 1/2) 3) (sqrt 8))) (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2)))))))
#s(approx (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) #s(hole binary64 (- (+ (* (pow x 2) (- (* 3 (/ (pow (sqrt 1/2) 3) (* (sqrt 8) (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2))))))) (/ (* (+ (* -1/2 (pow (sqrt 1/2) 2)) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))) (- 1 (* (pow (sqrt 1/2) 3) (sqrt 8)))) (pow (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2)))) 2)))) (/ 1 (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2)))))) (/ (* (pow (sqrt 1/2) 3) (sqrt 8)) (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2))))))))
#s(approx (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) #s(hole binary64 (- (+ (* (pow x 2) (- (+ (* 3 (/ (pow (sqrt 1/2) 3) (* (sqrt 8) (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2))))))) (* (pow x 2) (- (* -1/2 (/ (* (pow (sqrt 1/2) 3) (- 6 (* 9 (/ 1 (pow (sqrt 8) 2))))) (* (sqrt 8) (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2))))))) (+ (/ (* (+ (* -1/2 (pow (sqrt 1/2) 2)) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))) (- (* 3 (/ (pow (sqrt 1/2) 3) (* (sqrt 8) (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2))))))) (/ (* (+ (* -1/2 (pow (sqrt 1/2) 2)) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))) (- 1 (* (pow (sqrt 1/2) 3) (sqrt 8)))) (pow (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2)))) 2)))) (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2))))) (/ (* (+ (* 3/8 (pow (sqrt 1/2) 2)) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (- 1 (* (pow (sqrt 1/2) 3) (sqrt 8)))) (pow (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2)))) 2)))))) (/ (* (+ (* -1/2 (pow (sqrt 1/2) 2)) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))) (- 1 (* (pow (sqrt 1/2) 3) (sqrt 8)))) (pow (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2)))) 2)))) (/ 1 (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2)))))) (/ (* (pow (sqrt 1/2) 3) (sqrt 8)) (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2))))))))
#s(approx (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) #s(hole binary64 (- (+ (* (pow x 2) (- (+ (* 3 (/ (pow (sqrt 1/2) 3) (* (sqrt 8) (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2))))))) (* (pow x 2) (- (+ (* -1/2 (/ (* (pow (sqrt 1/2) 3) (- 6 (* 9 (/ 1 (pow (sqrt 8) 2))))) (* (sqrt 8) (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2))))))) (* (pow x 2) (- (* 1/2 (/ (* (pow (sqrt 1/2) 3) (+ 49/8 (* -3 (/ (- 6 (* 9 (/ 1 (pow (sqrt 8) 2)))) (pow (sqrt 8) 2))))) (* (sqrt 8) (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2))))))) (+ (/ (* (+ (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* -5/16 (pow (sqrt 1/2) 2))) (- 1 (* (pow (sqrt 1/2) 3) (sqrt 8)))) (pow (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2)))) 2)) (+ (/ (* (+ (* -1/2 (pow (sqrt 1/2) 2)) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))) (- (* -1/2 (/ (* (pow (sqrt 1/2) 3) (- 6 (* 9 (/ 1 (pow (sqrt 8) 2))))) (* (sqrt 8) (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2))))))) (+ (/ (* (+ (* -1/2 (pow (sqrt 1/2) 2)) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))) (- (* 3 (/ (pow (sqrt 1/2) 3) (* (sqrt 8) (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2))))))) (/ (* (+ (* -1/2 (pow (sqrt 1/2) 2)) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))) (- 1 (* (pow (sqrt 1/2) 3) (sqrt 8)))) (pow (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2)))) 2)))) (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2))))) (/ (* (+ (* 3/8 (pow (sqrt 1/2) 2)) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (- 1 (* (pow (sqrt 1/2) 3) (sqrt 8)))) (pow (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2)))) 2))))) (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2))))) (/ (* (+ (* 3/8 (pow (sqrt 1/2) 2)) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (- (* 3 (/ (pow (sqrt 1/2) 3) (* (sqrt 8) (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2))))))) (/ (* (+ (* -1/2 (pow (sqrt 1/2) 2)) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))) (- 1 (* (pow (sqrt 1/2) 3) (sqrt 8)))) (pow (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2)))) 2)))) (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2)))))))))) (+ (/ (* (+ (* -1/2 (pow (sqrt 1/2) 2)) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))) (- (* 3 (/ (pow (sqrt 1/2) 3) (* (sqrt 8) (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2))))))) (/ (* (+ (* -1/2 (pow (sqrt 1/2) 2)) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))) (- 1 (* (pow (sqrt 1/2) 3) (sqrt 8)))) (pow (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2)))) 2)))) (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2))))) (/ (* (+ (* 3/8 (pow (sqrt 1/2) 2)) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (- 1 (* (pow (sqrt 1/2) 3) (sqrt 8)))) (pow (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2)))) 2)))))) (/ (* (+ (* -1/2 (pow (sqrt 1/2) 2)) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))) (- 1 (* (pow (sqrt 1/2) 3) (sqrt 8)))) (pow (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2)))) 2)))) (/ 1 (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2)))))) (/ (* (pow (sqrt 1/2) 3) (sqrt 8)) (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2))))))))
#s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) #s(hole binary64 (- 1 (* (pow (sqrt 1/2) 3) (sqrt 8)))))
#s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) #s(hole binary64 (- (+ 1 (* 3 (/ (* (pow x 2) (pow (sqrt 1/2) 3)) (sqrt 8)))) (* (pow (sqrt 1/2) 3) (sqrt 8)))))
#s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 3) (- 6 (* 9 (/ 1 (pow (sqrt 8) 2)))))) (sqrt 8))) (* -3 (/ (pow (sqrt 1/2) 3) (sqrt 8)))))) (* (pow (sqrt 1/2) 3) (sqrt 8)))))
#s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 3) (+ 49/8 (* -3 (/ (- 6 (* 9 (/ 1 (pow (sqrt 8) 2)))) (pow (sqrt 8) 2)))))) (sqrt 8))) (* 1/2 (/ (* (pow (sqrt 1/2) 3) (- 6 (* 9 (/ 1 (pow (sqrt 8) 2))))) (sqrt 8))))) (* -3 (/ (pow (sqrt 1/2) 3) (sqrt 8)))))) (* (pow (sqrt 1/2) 3) (sqrt 8)))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) #s(hole binary64 (* (pow (sqrt 1/2) 3) (sqrt 8))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) #s(hole binary64 (+ (* -3 (/ (* (pow x 2) (pow (sqrt 1/2) 3)) (sqrt 8))) (* (pow (sqrt 1/2) 3) (sqrt 8)))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) #s(hole binary64 (+ (* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/2) 3) (sqrt 8))) (* 1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 3) (- 6 (* 9 (/ 1 (pow (sqrt 8) 2)))))) (sqrt 8))))) (* (pow (sqrt 1/2) 3) (sqrt 8)))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) #s(hole binary64 (+ (* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/2) 3) (sqrt 8))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 3) (+ 49/8 (* -3 (/ (- 6 (* 9 (/ 1 (pow (sqrt 8) 2)))) (pow (sqrt 8) 2)))))) (sqrt 8))) (* 1/2 (/ (* (pow (sqrt 1/2) 3) (- 6 (* 9 (/ 1 (pow (sqrt 8) 2))))) (sqrt 8))))))) (* (pow (sqrt 1/2) 3) (sqrt 8)))))
#s(approx (+ (* -1/8 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/8 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(hole binary64 (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2))))))
#s(approx (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(hole binary64 (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (pow (sqrt 1/2) 2)) (* -1/4 (/ (sqrt 1/2) (sqrt 2))))))))))
#s(approx (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(hole binary64 (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (pow (sqrt 1/2) 2)) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* 3/8 (pow (sqrt 1/2) 2)) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))))))))
#s(approx (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(hole binary64 (+ 1 (+ (* 2 (pow (sqrt 1/2) 2)) (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (pow (sqrt 1/2) 2)) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* 3/8 (pow (sqrt 1/2) 2)) (+ (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* -5/16 (pow (sqrt 1/2) 2)))))))))))))))
#s(approx (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (+ (* 2 (pow (sqrt 1/2) 2)) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (+ (* 2 (pow (sqrt 1/2) 2)) (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (pow (sqrt 1/2) 2)) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))))))
#s(approx (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (+ (* 2 (pow (sqrt 1/2) 2)) (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (pow (sqrt 1/2) 2)) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* 3/8 (pow (sqrt 1/2) 2)) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))))
#s(approx (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (+ (* 2 (pow (sqrt 1/2) 2)) (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (pow (sqrt 1/2) 2)) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* 3/8 (pow (sqrt 1/2) 2)) (+ (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* -5/16 (pow (sqrt 1/2) 2))))))))))))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) #s(hole binary64 (* 2 (pow (sqrt 1/2) 2))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) #s(hole binary64 (+ (* -1/2 (* (pow x 2) (pow (sqrt 1/2) 2))) (* 2 (pow (sqrt 1/2) 2)))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) #s(hole binary64 (+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (+ (* -1/2 (pow (sqrt 1/2) 2)) (* 3/8 (* (pow x 2) (pow (sqrt 1/2) 2))))))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) #s(hole binary64 (+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (+ (* -1/2 (pow (sqrt 1/2) 2)) (* (pow x 2) (+ (* -5/16 (* (pow x 2) (pow (sqrt 1/2) 2))) (* 3/8 (pow (sqrt 1/2) 2)))))))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (* 1 (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 (* 1 (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 (* 1 (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 (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)))) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (- 1 (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2)) #s(hole binary64 (- 1 (* 1/2 (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1))))))
#s(approx (* (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) 1/2) #s(hole binary64 (* 1/2 (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)))))
#s(approx (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1)) #s(hole binary64 (/ (- (pow (cos (atan x)) 2) 1) (- (cos (atan x)) 1))))
#s(approx (- (pow (cos (atan x)) 2) 1) #s(hole binary64 (- (pow (cos (atan x)) 2) 1)))
#s(approx (pow (cos (atan x)) 2) #s(hole binary64 (pow (cos (atan x)) 2)))
#s(approx (- (cos (atan x)) 1) #s(hole binary64 (- (cos (atan x)) 1)))
#s(approx (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) #s(hole binary64 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))
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#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (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 (* (- (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 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) #s(hole binary64 (/ (- 1 (pow (sqrt 1/2) 3)) (+ 1 (+ (sqrt 1/2) (pow (sqrt 1/2) 2))))))
#s(approx (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) #s(hole binary64 (- (+ (* -3/2 (/ (pow (sqrt 1/2) 3) (* x (+ 1 (+ (sqrt 1/2) (pow (sqrt 1/2) 2)))))) (/ 1 (+ 1 (+ (sqrt 1/2) (pow (sqrt 1/2) 2))))) (+ (/ (* (+ (* 1/2 (sqrt 1/2)) (pow (sqrt 1/2) 2)) (- 1 (pow (sqrt 1/2) 3))) (* x (pow (+ 1 (+ (sqrt 1/2) (pow (sqrt 1/2) 2))) 2))) (/ (pow (sqrt 1/2) 3) (+ 1 (+ (sqrt 1/2) (pow (sqrt 1/2) 2))))))))
#s(approx (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) #s(hole binary64 (- (+ (* -3/2 (/ (pow (sqrt 1/2) 3) (* x (+ 1 (+ (sqrt 1/2) (pow (sqrt 1/2) 2)))))) (+ (* -3/8 (/ (pow (sqrt 1/2) 3) (* (pow x 2) (+ 1 (+ (sqrt 1/2) (pow (sqrt 1/2) 2)))))) (/ 1 (+ 1 (+ (sqrt 1/2) (pow (sqrt 1/2) 2)))))) (+ (* -1/8 (/ (* (sqrt 1/2) (- 1 (pow (sqrt 1/2) 3))) (* (pow x 2) (pow (+ 1 (+ (sqrt 1/2) (pow (sqrt 1/2) 2))) 2)))) (+ (/ (* (+ (* 1/2 (sqrt 1/2)) (pow (sqrt 1/2) 2)) (- 1 (pow (sqrt 1/2) 3))) (* x (pow (+ 1 (+ (sqrt 1/2) (pow (sqrt 1/2) 2))) 2))) (+ (/ (* (+ (* 1/2 (sqrt 1/2)) (pow (sqrt 1/2) 2)) (- (* -3/2 (/ (pow (sqrt 1/2) 3) (+ 1 (+ (sqrt 1/2) (pow (sqrt 1/2) 2))))) (/ (* (+ (* 1/2 (sqrt 1/2)) (pow (sqrt 1/2) 2)) (- 1 (pow (sqrt 1/2) 3))) (pow (+ 1 (+ (sqrt 1/2) (pow (sqrt 1/2) 2))) 2)))) (* (pow x 2) (+ 1 (+ (sqrt 1/2) (pow (sqrt 1/2) 2))))) (/ (pow (sqrt 1/2) 3) (+ 1 (+ (sqrt 1/2) (pow (sqrt 1/2) 2))))))))))
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#s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) #s(hole binary64 (- 1 (pow (sqrt 1/2) 3))))
#s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) #s(hole binary64 (- (+ 1 (* -3/2 (/ (pow (sqrt 1/2) 3) x))) (pow (sqrt 1/2) 3))))
#s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) #s(hole binary64 (- (+ 1 (* -3/8 (/ (pow (sqrt 1/2) 3) (pow x 2)))) (+ (* 3/2 (/ (pow (sqrt 1/2) 3) x)) (pow (sqrt 1/2) 3)))))
#s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) #s(hole binary64 (- (+ 1 (* 13/16 (/ (pow (sqrt 1/2) 3) (pow x 3)))) (+ (* 3/8 (/ (pow (sqrt 1/2) 3) (pow x 2))) (+ (* 3/2 (/ (pow (sqrt 1/2) 3) x)) (pow (sqrt 1/2) 3))))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) #s(hole binary64 (pow (sqrt 1/2) 3)))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) #s(hole binary64 (+ (* 3/2 (/ (pow (sqrt 1/2) 3) x)) (pow (sqrt 1/2) 3))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) #s(hole binary64 (+ (* 3/8 (/ (pow (sqrt 1/2) 3) (pow x 2))) (+ (* 3/2 (/ (pow (sqrt 1/2) 3) x)) (pow (sqrt 1/2) 3)))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) #s(hole binary64 (+ (* -13/16 (/ (pow (sqrt 1/2) 3) (pow x 3))) (+ (* 3/8 (/ (pow (sqrt 1/2) 3) (pow x 2))) (+ (* 3/2 (/ (pow (sqrt 1/2) 3) x)) (pow (sqrt 1/2) 3))))))
#s(approx (+ (* -1/8 (* x x)) 1) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* -1/8 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/8))))
#s(approx (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (pow (sqrt 1/2) 2)))))
#s(approx (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (+ (/ (pow (sqrt 1/2) 2) x) (pow (sqrt 1/2) 2)))))))
#s(approx (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (+ (* 1/2 (/ (sqrt 1/2) x)) (+ (/ (pow (sqrt 1/2) 2) x) (pow (sqrt 1/2) 2))))))))
#s(approx (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (pow x 3))) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (+ (* 1/2 (/ (sqrt 1/2) x)) (+ (/ (pow (sqrt 1/2) 2) x) (pow (sqrt 1/2) 2))))))))))
#s(approx (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (+ (sqrt 1/2) (pow (sqrt 1/2) 2))))
#s(approx (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* 1/2 (/ (sqrt 1/2) x)) (+ (/ (pow (sqrt 1/2) 2) x) (pow (sqrt 1/2) 2))))))
#s(approx (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (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)) (+ (/ (pow (sqrt 1/2) 2) x) (pow (sqrt 1/2) 2)))))))
#s(approx (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (pow x 3))) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (+ (* 1/2 (/ (sqrt 1/2) x)) (+ (/ (pow (sqrt 1/2) 2) x) (pow (sqrt 1/2) 2)))))))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) #s(hole binary64 (pow (sqrt 1/2) 2)))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) #s(hole binary64 (+ (/ (pow (sqrt 1/2) 2) x) (pow (sqrt 1/2) 2))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) #s(hole binary64 (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (pow x 3))) (+ (/ (pow (sqrt 1/2) 2) x) (pow (sqrt 1/2) 2)))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) #s(hole binary64 (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (pow x 3))) (+ (* 3/8 (/ (pow (sqrt 1/2) 2) (pow x 5))) (+ (/ (pow (sqrt 1/2) 2) x) (pow (sqrt 1/2) 2))))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (+ (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 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (+ (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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (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)))))
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Calls

3 calls:

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

Time

Variable

Point

Expression

13.0ms

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

13.0ms

-inf

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

8.0ms

inf

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

rewrite218.0ms (3.8%)

Memory

16.6MiB live, 247.3MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	790	9757
0	846	5996
1	5583	5996
0	8524	5822

Stop Event

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

Counts

215 → 471

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

Outputs
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))) (neg.f64 (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 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #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 (pow.f64 (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)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #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 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #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 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #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 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #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 #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 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
(+.f64 #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))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (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)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))
(/.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)))
(fma.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #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 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cos.f64 (atan.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (cos.f64 (atan.f64 x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cos.f64 (atan.f64 x)) #s(literal 1 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 #s(literal -1 binary64) (neg.f64 (cosh.f64 (asinh.f64 x))))
(/.f64 (cosh.f64 (asinh.f64 x)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x)))
(fma.f64 (sin.f64 (atan.f64 x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (atan.f64 x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (atan.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (atan.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(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)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (atan.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 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))))))
(fma.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))) #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))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 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))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 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)))))
(+.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 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 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.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 1/2 binary64))
(/.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(sin.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(cos.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
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#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)))) (pow.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
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#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -3/2 binary64) (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -3/8 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 13/16 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)))) (pow.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)))) (pow.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/8 binary64)))) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (fma.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)))) (pow.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) x))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)))) (pow.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/8 binary64)))) x)) (/.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)))) (pow.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (-.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)) x) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))))
#s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)) x) #s(literal 3/8 binary64) (*.f64 #s(literal -3/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)))) x) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))))
#s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -13/16 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)) x) (.f64 #s(literal -3/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)))) x) #s(literal -1 binary64) (.f64 #s(literal -3/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)))) x) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) (fma.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)) x) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) (fma.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)) (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)) x) #s(literal -3/8 binary64))) x) #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) (fma.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal 13/16 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)) x) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)) #s(literal 3/8 binary64))) x))) x) #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))))
#s(approx (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) x))) x) #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) x))) x) #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 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) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 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) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))

eval80.0ms (1.4%)

Memory: -9.9MiB live, 130.5MiB allocated; 28ms collecting garbage
Compiler: Compiled 31 781 to 2 715 computations (91.5% saved)

prune32.0ms (0.6%)

Memory

2.0MiB live, 95.6MiB allocated; 4ms collecting garbage

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	597	18	615
Fresh	2	8	10
Picked	4	1	5
Done	0	2	2
Total	603	29	632

Accuracy

75.7%

Counts

632 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
▶	24.1%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
	74.5%	(/.f64 (-.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 -3 binary64)) (pow.f64 (/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 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 -2 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (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 2 binary64))))))
	75.2%	(/.f64 (-.f64 (/.f64 #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 (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	75.2%	(/.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)))))))
	23.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -3/8 binary64) (.f64 x x))))))
▶	23.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
	75.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))
	75.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
▶	75.2%	(/.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) (.f64 (exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))
	3.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
	75.2%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
✓	74.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
	52.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
	51.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
✓	52.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))
▶	25.8%	(-.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))))
	2.8%	(-.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 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/512 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))))) (*.f64 x x)))))
	3.1%	(-.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 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/64 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x)))))
	2.5%	(-.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 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x))))))
	3.3%	(-.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)))))))
▶	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 (-.f64 (/.f64 (pow.f64 (.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (*.f64 x x)))))
	3.7%	(-.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)))))
	3.5%	(-.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 (.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/8 binary64)) (*.f64 x x)))))
	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 (exp.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x)))))
	4.0%	(-.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))))
	2.6%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 #s(approx (- (pow x -2) 1/8) (pow.f64 x #s(literal -2 binary64))) (.f64 x x)))))
	52.9%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	25.1%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 2 532 to 1 280 computations (49.4% saved)

series134.0ms (2.3%)

Memory

41.0MiB live, 220.7MiB allocated; 22ms collecting garbage

Counts

51 → 198

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) (.f64 (exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #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) (.f64 (exp.f64 (.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (exp.f64 (.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))
(log1p.f64 (cos.f64 (atan.f64 x)))
(sqrt.f64 #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (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 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))
(pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 3 binary64)
#s(approx (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(literal 2 binary64)
(fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -3/8 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 (-.f64 (/.f64 (pow.f64 (.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 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 (/.f64 (pow.f64 (.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (/.f64 (pow.f64 (.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (*.f64 x x)))
(.f64 (-.f64 (/.f64 (pow.f64 (.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (*.f64 x x))
(-.f64 (/.f64 (pow.f64 (*.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64))
(/.f64 (pow.f64 (*.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64)))
(pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))
#s(literal 6 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(+.f64 (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))

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

Calls

3 calls:

Time	Variable		Point	Expression
51.0ms	x	@	0	((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (* (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (sqrt 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 (* (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (sqrt 1/2))) (* (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (sqrt 1/2)) (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (* (log (+ 1 (cos (atan x)))) 1/2) (log (+ 1 (cos (atan x)))) (sqrt 1/2) (- 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 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* -1/8 (* x x)) 1) 3 (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+ 2 (+ (* -3/8 (* x x)) 1)) 2 (+ (* -3/8 (* x x)) 1) -3/8 (- 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 x) 1) (pow x 4)) 1/8) (* x x)) (- (/ (pow (* x x) 1) (pow x 4)) 1/8) (/ (pow (* x x) 1) (pow x 4)) (pow (* x x) 1) (pow x 4) 4 1/8 (/ (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) (+ 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3))) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) (+ 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3))) (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6) 6 (+ 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))
48.0ms	x	@	-inf	((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (* (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (sqrt 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 (* (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (sqrt 1/2))) (* (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (sqrt 1/2)) (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (* (log (+ 1 (cos (atan x)))) 1/2) (log (+ 1 (cos (atan x)))) (sqrt 1/2) (- 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 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* -1/8 (* x x)) 1) 3 (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+ 2 (+ (* -3/8 (* x x)) 1)) 2 (+ (* -3/8 (* x x)) 1) -3/8 (- 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 x) 1) (pow x 4)) 1/8) (* x x)) (- (/ (pow (* x x) 1) (pow x 4)) 1/8) (/ (pow (* x x) 1) (pow x 4)) (pow (* x x) 1) (pow x 4) 4 1/8 (/ (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) (+ 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3))) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) (+ 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3))) (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6) 6 (+ 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))
24.0ms	x	@	inf	((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (* (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (sqrt 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 (* (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (sqrt 1/2))) (* (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (sqrt 1/2)) (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (* (log (+ 1 (cos (atan x)))) 1/2) (log (+ 1 (cos (atan x)))) (sqrt 1/2) (- 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 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* -1/8 (* x x)) 1) 3 (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+ 2 (+ (* -3/8 (* x x)) 1)) 2 (+ (* -3/8 (* x x)) 1) -3/8 (- 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 x) 1) (pow x 4)) 1/8) (* x x)) (- (/ (pow (* x x) 1) (pow x 4)) 1/8) (/ (pow (* x x) 1) (pow x 4)) (pow (* x x) 1) (pow x 4) 4 1/8 (/ (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) (+ 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3))) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) (+ 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3))) (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6) 6 (+ 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))

Time

Variable

Point

Expression

51.0ms

((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (* (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (sqrt 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 (* (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (sqrt 1/2))) (* (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (sqrt 1/2)) (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (* (log (+ 1 (cos (atan x)))) 1/2) (log (+ 1 (cos (atan x)))) (sqrt 1/2) (- 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 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* -1/8 (* x x)) 1) 3 (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+ 2 (+ (* -3/8 (* x x)) 1)) 2 (+ (* -3/8 (* x x)) 1) -3/8 (- 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 x) 1) (pow x 4)) 1/8) (* x x)) (- (/ (pow (* x x) 1) (pow x 4)) 1/8) (/ (pow (* x x) 1) (pow x 4)) (pow (* x x) 1) (pow x 4) 4 1/8 (/ (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) (+ 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3))) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) (+ 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3))) (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6) 6 (+ 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))

48.0ms

-inf

((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (* (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (sqrt 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 (* (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (sqrt 1/2))) (* (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (sqrt 1/2)) (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (* (log (+ 1 (cos (atan x)))) 1/2) (log (+ 1 (cos (atan x)))) (sqrt 1/2) (- 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 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* -1/8 (* x x)) 1) 3 (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+ 2 (+ (* -3/8 (* x x)) 1)) 2 (+ (* -3/8 (* x x)) 1) -3/8 (- 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 x) 1) (pow x 4)) 1/8) (* x x)) (- (/ (pow (* x x) 1) (pow x 4)) 1/8) (/ (pow (* x x) 1) (pow x 4)) (pow (* x x) 1) (pow x 4) 4 1/8 (/ (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) (+ 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3))) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) (+ 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3))) (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6) 6 (+ 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))

24.0ms

inf

((/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (* (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (sqrt 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 (* (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (sqrt 1/2))) (* (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (sqrt 1/2)) (exp (* (log (+ 1 (cos (atan x)))) 1/2)) (* (log (+ 1 (cos (atan x)))) 1/2) (log (+ 1 (cos (atan x)))) (sqrt 1/2) (- 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 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* -1/8 (* x x)) 1) 3 (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+ 2 (+ (* -3/8 (* x x)) 1)) 2 (+ (* -3/8 (* x x)) 1) -3/8 (- 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 x) 1) (pow x 4)) 1/8) (* x x)) (- (/ (pow (* x x) 1) (pow x 4)) 1/8) (/ (pow (* x x) 1) (pow x 4)) (pow (* x x) 1) (pow x 4) 4 1/8 (/ (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) (+ 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3))) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) (+ 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3))) (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6) 6 (+ 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))

rewrite310.0ms (5.4%)

Memory

-29.6MiB live, 311.5MiB allocated; 269ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1209	18560
0	1267	10692
0	8729	10323

Stop Event

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

Counts

249 → 369

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) (.f64 (exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #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) (.f64 (exp.f64 (.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (exp.f64 (.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))
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#s(approx (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (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)) (pow (sqrt 1/2) 2))) x)) (pow (sqrt 1/2) 2)))))
#s(approx (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt 1/2) 2)) (* -3/16 (sqrt 1/2))) x)) (* -1/8 (sqrt 1/2))) x)) (+ (* 1/2 (sqrt 1/2)) (pow (sqrt 1/2) 2))) x)) (pow (sqrt 1/2) 2)))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) #s(hole binary64 (+ (* -1 (/ (pow (sqrt 1/2) 2) x)) (pow (sqrt 1/2) 2))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (pow x 2))) (pow (sqrt 1/2) 2)) x)) (pow (sqrt 1/2) 2))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (pow x 2))) (+ (* 3/8 (/ (pow (sqrt 1/2) 2) (pow x 4))) (pow (sqrt 1/2) 2))) x)) (pow (sqrt 1/2) 2))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (+ (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 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))

Outputs
(/.f64 (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 (/.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 (*.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 #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 #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) (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 (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 (neg.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 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (atan.f64 x)) (cos.f64 (atan.f64 x)))) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))
(/.f64 (-.f64 (*.f64 (cos.f64 (atan.f64 x)) (cos.f64 (atan.f64 x))) #s(literal 1 binary64)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 (atan.f64 x)) (cos.f64 (atan.f64 x))) (.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (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 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sin.f64 (+.f64 (atan.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (atan.f64 x)))
(cos.f64 (atan.f64 x))
(atan.f64 x)
x
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 #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 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.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) (*.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (cos.f64 (atan.f64 x)))) #s(literal 1/2 binary64))
(pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))))
(*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))
(log1p.f64 (cos.f64 (atan.f64 x)))
(log.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64)))))))
(-.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 (.f64 x x) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 (.f64 x x) #s(literal -1/8 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -1/8 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))
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
#s(literal -1/8 binary64)
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64)) (.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 (pow.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64)) (+.f64 (pow.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3/2 binary64)) (pow.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) (pow.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))
(exp.f64 (.f64 (log.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(.f64 #s(literal 1 binary64) #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 #s(literal -1/8 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 #s(literal -1/8 binary64) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1 binary64)))
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(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 #s(literal -1/8 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) x) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x)))
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#s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -13/16 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (/.f64 #s(literal 7/8 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 3/2 binary64) (/.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 7/8 binary64))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 7/8 binary64))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 7/8 binary64))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))) x) (/.f64 #s(literal -3/8 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 7/8 binary64))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 7/8 binary64))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) x) (/.f64 #s(literal -3/8 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 3/2 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 7/8 binary64))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x) (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))))
#s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) x)) #s(literal 1/8 binary64)))
#s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 3/8 binary64)) x) #s(literal 1 binary64)) #s(literal 1/8 binary64)))
#s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 3/8 binary64)) x) #s(literal -3/8 binary64)) x) #s(literal 1 binary64)) #s(literal 1/8 binary64)))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/8 binary64)))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -3/8 binary64)) x) #s(literal 1/8 binary64)))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -3/8 binary64)) x) #s(literal 3/8 binary64)) x) #s(literal 1/8 binary64)))
#s(approx (+ 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) x) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal -3/8 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) x))) x) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal 13/16 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) x) (*.f64 #s(literal 3/8 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))) x))) x) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) #s(literal 1 binary64)))
#s(approx (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) x))) x) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)))
#s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64)))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) x) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) x) (sqrt.f64 #s(literal 1/2 binary64))))

eval83.0ms (1.4%)

Memory: -2.6MiB live, 141.1MiB allocated; 34ms collecting garbage
Compiler: Compiled 50 891 to 2 573 computations (94.9% saved)

prune53.0ms (0.9%)

Memory

18.1MiB live, 110.9MiB allocated; 7ms collecting garbage

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	548	19	567
Fresh	9	12	21
Picked	4	1	5
Done	0	3	3
Total	561	35	596

Accuracy

100.0%

Counts

596 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 (pow.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
	23.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -3/8 binary64))))))
	24.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(literal 2 binary64))))
	24.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6) (fma.f64 #s(literal -6 binary64) (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
	2.9%	(/.f64 (/.f64 #s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) #s(literal 7/8 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
	23.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -3/8 binary64) (.f64 x x))))))
	23.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(approx (+ 2 (+ (* -3/8 (* x x)) 1)) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 3 binary64)))))
	2.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(approx (+ 2 (+ (* -3/8 (* x x)) 1)) (.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3/8 binary64))))))
	75.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))
	75.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))
	75.2%	(/.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)))))
	24.9%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64)))))
	3.5%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))) #s(approx (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
	48.5%	(/.f64 #s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (fma.f64 (.f64 x x) (-.f64 (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -3/4 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -3 binary64) (.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 0 binary64))) (.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 0 binary64))) (.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 3/4 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 0 binary64))) (.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
	49.5%	(/.f64 #s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 3/4 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 0 binary64))) (.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
✓	74.4%	(-.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))))))))
	51.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
✓	52.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))
	2.4%	(-.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (/.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (*.f64 x x)))))
✓	25.8%	(-.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))))
	2.8%	(-.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 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/512 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))))) (*.f64 x x)))))
	2.5%	(-.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 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x))))))
	3.3%	(-.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)))))))
	2.3%	(-.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 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/8 binary64)) (.f64 x x)))))
	2.2%	(-.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 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (*.f64 x x)))))
	3.7%	(-.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)))))
	3.5%	(-.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 (.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/8 binary64)) (*.f64 x x)))))
	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 (exp.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 1/8 binary64)) (*.f64 x x)))))
	4.0%	(-.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 (.f64 (-.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) x) x))))
	2.6%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 #s(approx (- (pow x -2) 1/8) (pow.f64 x #s(literal -2 binary64))) (.f64 x x)))))
	48.8%	#s(approx (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (fma.f64 (.f64 x x) (-.f64 (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -3/4 binary64) (.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (/.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 8 binary64)))) (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3/16 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 117/8 binary64))) (sqrt.f64 #s(literal 8 binary64))))) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64) (.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -3/8 binary64) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64)))) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -3/8 binary64) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64)))) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 3/4 binary64) (.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -3/8 binary64) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64)))) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))))
	50.5%	#s(approx (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -3/8 binary64) (/.f64 (.f64 #s(literal -3 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64)))) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))))
	52.9%	#s(approx (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/.f64 (/.f64 #s(literal 7/8 binary64) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	25.1%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 5 787 to 1 461 computations (74.8% saved)

regimes101.0ms (1.7%)

Memory

16.2MiB live, 159.7MiB allocated; 16ms collecting garbage

Counts

61 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #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))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) 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)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
#s(approx (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/.f64 (/.f64 #s(literal 7/8 binary64) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 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 (-.f64 #s(literal 1 binary64) #s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))) #s(approx (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 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 (.f64 (-.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) x) x))))
(-.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (/.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (*.f64 x x)))))
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(/.f64 #s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (fma.f64 (.f64 x x) (-.f64 (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -3/4 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -3 binary64) (.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 0 binary64))) (.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 0 binary64))) (.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 3/4 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 0 binary64))) (.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (-.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 -3 binary64)) (pow.f64 (/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 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 -2 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (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 2 binary64))))))
#s(approx (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (fma.f64 (.f64 x x) (-.f64 (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -3/4 binary64) (.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (/.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 8 binary64)))) (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3/16 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 117/8 binary64))) (sqrt.f64 #s(literal 8 binary64))))) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64) (.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -3/8 binary64) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64)))) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -3/8 binary64) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64)))) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 3/4 binary64) (.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -3/8 binary64) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64)))) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))))

Outputs

#s(approx (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (fma.f64 (*.f64 x x) (-.f64 (fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal -3/4 binary64) (*.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (/.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 8 binary64)))) (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3/16 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 117/8 binary64))) (sqrt.f64 #s(literal 8 binary64))))) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64)))) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64)))) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 3/4 binary64) (*.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64)))) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))))

(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))

Calls

7 calls:

18.0ms	x
16.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
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	(hypot.f64 #s(literal 1 binary64) x)
11.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

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)

regimes179.0ms (3.1%)

Memory

-11.3MiB live, 132.2MiB allocated; 9ms collecting garbage

Counts

60 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #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))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) 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)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
#s(approx (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/.f64 (/.f64 #s(literal 7/8 binary64) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 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 (-.f64 #s(literal 1 binary64) #s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))) #s(approx (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 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 (.f64 (-.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) x) x))))
(-.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (/.f64 (.f64 x x) (pow.f64 x #s(literal 4 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))))))
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(/.f64 #s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (fma.f64 (.f64 x x) (-.f64 (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -3/4 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -3 binary64) (.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 0 binary64))) (.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 0 binary64))) (.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 3/4 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 0 binary64))) (.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (-.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 -3 binary64)) (pow.f64 (/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 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 -2 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (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 2 binary64))))))

Outputs

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

(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))

Calls

7 calls:

67.0ms	x
45.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
14.0ms	(hypot.f64 #s(literal 1 binary64) x)
14.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
11.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes115.0ms (2%)

Memory

1.2MiB live, 138.4MiB allocated; 7ms collecting garbage

Counts

56 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #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))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) 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)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
#s(approx (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/.f64 (/.f64 #s(literal 7/8 binary64) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 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 (-.f64 #s(literal 1 binary64) #s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))) #s(approx (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 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 (.f64 (-.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) x) x))))
(-.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (/.f64 (.f64 x x) (pow.f64 x #s(literal 4 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 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(approx (+ 2 (+ (* -3/8 (* x x)) 1)) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -3/8 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))) (*.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) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(-.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 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x x))) #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 (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 -1 binary64)) (pow.f64 x #s(literal -1 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 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (/.f64 (pow.f64 x #s(literal 4 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 (.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(approx (+ 2 (+ (* -3/8 (* x x)) 1)) (.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3/8 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 (pow.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -3/8 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) #s(literal 7/8 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6) (fma.f64 #s(literal -6 binary64) (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(-.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 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/64 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #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 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(-.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 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #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))) (+.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 (-.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/512 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #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))) (+.f64 #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 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.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) (.f64 (exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 3/4 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 0 binary64))) (.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))

Outputs

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

(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))

Calls

7 calls:

39.0ms	(hypot.f64 #s(literal 1 binary64) x)
15.0ms	x
13.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
12.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
10.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes97.0ms (1.7%)

Memory

23.5MiB live, 125.2MiB allocated; 17ms collecting garbage

Counts

55 → 1

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #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))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) 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)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
#s(approx (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/.f64 (/.f64 #s(literal 7/8 binary64) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 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 (-.f64 #s(literal 1 binary64) #s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))) #s(approx (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 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 (.f64 (-.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) x) x))))
(-.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (/.f64 (.f64 x x) (pow.f64 x #s(literal 4 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 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(approx (+ 2 (+ (* -3/8 (* x x)) 1)) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -3/8 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))) (*.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) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(-.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 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x x))) #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 (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 -1 binary64)) (pow.f64 x #s(literal -1 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 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (/.f64 (pow.f64 x #s(literal 4 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 (.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(approx (+ 2 (+ (* -3/8 (* x x)) 1)) (.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3/8 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 (pow.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -3/8 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) #s(literal 7/8 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6) (fma.f64 #s(literal -6 binary64) (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(-.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 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/64 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #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 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(-.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 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #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))) (+.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 (-.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/512 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #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))) (+.f64 #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 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.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) (.f64 (exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))

Outputs

(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))

Calls

7 calls:

23.0ms	(-.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	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
13.0ms	x
12.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
11.0ms	(hypot.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
75.2%	1	`(hypot.f64 #s(literal 1 binary64) x)`
75.2%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
75.2%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
75.2%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
75.2%	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)))))`
75.2%	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))))))`
75.2%	1	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes81.0ms (1.4%)

Memory

-14.2MiB live, 130.7MiB allocated; 14ms collecting garbage

Counts

47 → 1

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #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))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) 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)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
#s(approx (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/.f64 (/.f64 #s(literal 7/8 binary64) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 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 (-.f64 #s(literal 1 binary64) #s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))) #s(approx (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 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 (.f64 (-.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) x) x))))
(-.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (/.f64 (.f64 x x) (pow.f64 x #s(literal 4 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 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(approx (+ 2 (+ (* -3/8 (* x x)) 1)) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -3/8 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))) (*.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) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(-.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 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x x))) #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 (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 -1 binary64)) (pow.f64 x #s(literal -1 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 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (/.f64 (pow.f64 x #s(literal 4 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 (.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(approx (+ 2 (+ (* -3/8 (* x x)) 1)) (.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3/8 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 (pow.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -3/8 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6)) #s(literal 7/8 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 6) (fma.f64 #s(literal -6 binary64) (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(-.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 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/64 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #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 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(-.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 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #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))) (+.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 (-.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/512 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #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))) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))

Outputs

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

Calls

7 calls:

13.0ms	(hypot.f64 #s(literal 1 binary64) x)
12.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
11.0ms	x
11.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
9.0ms	(-.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
75.2%	1	`x`
75.2%	1	`(hypot.f64 #s(literal 1 binary64) x)`
75.2%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
75.2%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
75.2%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
75.2%	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)))))`
75.2%	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))))))`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes96.0ms (1.7%)

Memory

-22.3MiB live, 69.0MiB allocated; 5ms collecting garbage

Counts

36 → 1

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #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))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) 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)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
#s(approx (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (/.f64 (/.f64 #s(literal 7/8 binary64) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 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 (-.f64 #s(literal 1 binary64) #s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))) #s(approx (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 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 (.f64 (-.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) x) x))))
(-.f64 #s(literal 1 binary64) #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (+ (* (* (* x x) 1/2) -1/4) 1) (.f64 (-.f64 (/.f64 (.f64 x x) (pow.f64 x #s(literal 4 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 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(approx (+ 2 (+ (* -3/8 (* x x)) 1)) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -3/8 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))) (*.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) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(-.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 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x x))) #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 (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 -1 binary64)) (pow.f64 x #s(literal -1 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 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (/.f64 (pow.f64 x #s(literal 4 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 (.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) #s(approx (+ 2 (+ (* -3/8 (* x x)) 1)) (.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3/8 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 (pow.f64 #s(approx ( 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(approx (+ 1 (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -3/8 binary64))))))

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

Calls

7 calls:

47.0ms	x
9.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
8.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
7.0ms	(hypot.f64 #s(literal 1 binary64) x)
7.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
74.4%	1	`x`
74.4%	1	`(hypot.f64 #s(literal 1 binary64) x)`
74.4%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
74.4%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
74.4%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
74.4%	1	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
74.4%	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))))))`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes17.0ms (0.3%)

Memory

27.0MiB live, 27.0MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

(-.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) (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:

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

Results

Accuracy	Segments	Branch
74.2%	2	`x`
74.2%	2	`(hypot.f64 #s(literal 1 binary64) x)`
74.2%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
74.2%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
74.2%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
74.2%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
74.2%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes23.0ms (0.4%)

Memory

-25.0MiB live, 20.7MiB allocated; 3ms 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))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))))
(-.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 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

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

Calls

7 calls:

13.0ms	(hypot.f64 #s(literal 1 binary64) x)
2.0ms	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	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
73.9%	2	`x`
73.6%	2	`(hypot.f64 #s(literal 1 binary64) x)`
73.6%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
73.6%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
73.6%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
73.6%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
73.6%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes7.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

1.0ms	x
1.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms	(*.f64 #s(literal 1/2 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
25.1%	1	`(hypot.f64 #s(literal 1 binary64) x)`
25.1%	1	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
25.1%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
25.1%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
25.1%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
25.1%	1	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
25.1%	1	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch34.0ms (0.6%)

Memory

-6.2MiB live, 44.7MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	1.8937043052017845e-7	3.740637792104805

Samples

15.0ms	96×	1	valid
8.0ms	48×	0	valid

Compiler

Compiled 2 549 to 850 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 6.0ms (31.8% of total)

ival-hypot: 4.0ms (21.2% of total)

adjust: 3.0ms (15.9% of total)

ival-sqrt: 2.0ms (10.6% of total)

ival-sub: 1.0ms (5.3% of total)

ival-add: 1.0ms (5.3% of total)

ival-mult: 1.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch33.0ms (0.6%)

Memory

12.3MiB live, 55.0MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	1.8937043052017845e-7	3.740637792104805

Samples

23.0ms

128×

valid

Compiler

Compiled 1 298 to 625 computations (51.8% saved)

Precisions

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

ival-hypot: 5.0ms (31.9% of total)

adjust: 3.0ms (19.1% of total)

ival-div: 2.0ms (12.8% of total)

ival-mult: 2.0ms (12.8% of total)

ival-sqrt: 2.0ms (12.8% of total)

ival-add: 1.0ms (6.4% of total)

ival-sub: 1.0ms (6.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.8937043052017845e-7	3.740637792104805

Compiler

Compiled 1 289 to 589 computations (54.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.551914400963142e-15	0.20682140283810724

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch41.0ms (0.7%)

Memory

-24.6MiB live, 65.8MiB allocated; 9ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	8.85982677584852e-90	2.2655609824728353e-77

Samples

28.0ms

160×

valid

Compiler

Compiled 400 to 323 computations (19.3% saved)

Precisions

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

ival-hypot: 7.0ms (30.8% of total)

adjust: 4.0ms (17.6% of total)

ival-add: 3.0ms (13.2% of total)

ival-div: 2.0ms (8.8% of total)

ival-mult: 2.0ms (8.8% of total)

ival-sub: 2.0ms (8.8% of total)

ival-sqrt: 2.0ms (8.8% of total)

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

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

exact: 0.0ms (0% of total)

simplify60.0ms (1%)

Memory

21.2MiB live, 75.9MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	147	729
1	217	695
2	428	695
3	1103	695
4	5956	695

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 5764607523034235/2305843009213693952 binary64)) #s(approx (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (fma.f64 (.f64 x x) (-.f64 (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -3/4 binary64) (.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (/.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 8 binary64)))) (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3/16 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 117/8 binary64))) (sqrt.f64 #s(literal 8 binary64))))) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64) (.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -3/8 binary64) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64)))) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -3/8 binary64) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64)))) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 3/4 binary64) (.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -3/8 binary64) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64)))) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 2674777890687885/18446744073709551616 binary64)) #s(approx (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -3/8 binary64) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64)))) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 2674777890687885/18446744073709551616 binary64)) (/.f64 #s(approx (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 3/4 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 0 binary64))) (.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1 binary64))))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 #s(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 (-.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 6338253001141147/1267650600228229401496703205376 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) (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 2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Outputs
(if (<=.f64 x #s(literal 5764607523034235/2305843009213693952 binary64)) #s(approx (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (fma.f64 (.f64 x x) (-.f64 (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal -3/4 binary64) (.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (/.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal 8 binary64)))) (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3/16 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 117/8 binary64))) (sqrt.f64 #s(literal 8 binary64))))) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64) (.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -3/8 binary64) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64)))) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -3/8 binary64) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64)))) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 3/4 binary64) (.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -3/8 binary64) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64)))) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 2674777890687885/18446744073709551616 binary64)) #s(approx (/ (- 1 (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 3)) (+ 1 (+ (pow (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 2) (* 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))))) (fma.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -3/8 binary64) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64)))) (pow.f64 (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 8 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (log1p.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))))
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derivations408.0ms (7.1%)

Memory

-22.5MiB live, 352.9MiB allocated; 51ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 761 to 150 computations (80.3% saved)

preprocess90.0ms (1.6%)

Memory: 54.8MiB live, 138.2MiB allocated; 19ms collecting garbage
Compiler: Compiled 2 116 to 498 computations (76.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.5s (44%)

explain180.0ms (3.1%)

preprocess213.0ms (3.7%)

eval0.0ms (0%)

prune0.0ms (0%)

series7.0ms (0.1%)

rewrite162.0ms (2.8%)

eval21.0ms (0.4%)

prune8.0ms (0.1%)

series25.0ms (0.4%)

rewrite164.0ms (2.8%)

eval85.0ms (1.5%)

prune29.0ms (0.5%)

series40.0ms (0.7%)

rewrite218.0ms (3.8%)

eval80.0ms (1.4%)

prune32.0ms (0.6%)

series134.0ms (2.3%)

rewrite310.0ms (5.4%)

eval83.0ms (1.4%)

prune53.0ms (0.9%)

regimes101.0ms (1.7%)

regimes179.0ms (3.1%)

regimes115.0ms (2%)

regimes97.0ms (1.7%)

regimes81.0ms (1.4%)

regimes96.0ms (1.7%)

regimes17.0ms (0.3%)

regimes23.0ms (0.4%)

regimes7.0ms (0.1%)

bsearch34.0ms (0.6%)

bsearch33.0ms (0.6%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch41.0ms (0.7%)

simplify60.0ms (1%)

derivations408.0ms (7.1%)

preprocess90.0ms (1.6%)

end0.0ms (0%)

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