Metrics for Given's Rotation SVD example, simplified

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

sample1.9s (20%)

Memory

29.2MiB live, 2 343.2MiB allocated; 535ms collecting garbage

Samples

880.0ms	2 934×	2	valid
342.0ms	4 101×	0	valid
243.0ms	1 221×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-hypot: 455.0ms (37.6% of total)

adjust: 229.0ms (18.9% of total)

ival-div: 134.0ms (11.1% of total)

ival-sqrt: 117.0ms (9.7% of total)

ival-mult: 101.0ms (8.3% of total)

ival-add: 87.0ms (7.2% of total)

ival-sub: 78.0ms (6.4% of total)

exact: 9.0ms (0.7% of total)

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

Bogosity

explain217.0ms (2.3%)

Memory

22.9MiB live, 314.1MiB allocated; 18ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
68	-	-	`(-.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	68	0

Confusion

	Predicted +	Predicted -
+	68	0
-	0	188

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	68	0	0
-	0	0	188

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	188
1	68

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

80.0ms	180×	2	valid
19.0ms	254×	0	valid
13.0ms	78×	1	valid

Compiler

Compiled 174 to 31 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-hypot: 52.0ms (56.1% of total)

adjust: 11.0ms (11.9% of total)

ival-div: 7.0ms (7.6% of total)

ival-sqrt: 7.0ms (7.6% of total)

ival-mult: 6.0ms (6.5% of total)

ival-sub: 5.0ms (5.4% of total)

ival-add: 4.0ms (4.3% of total)

exact: 1.0ms (1.1% of total)

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

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

preprocess225.0ms (2.3%)

Memory

-6.7MiB live, 189.6MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x)

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.2%	(-.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 12 to 9 computations (25% saved)

simplify127.0ms (1.3%)

Memory

0.6MiB live, 145.2MiB allocated; 14ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
cost-diff	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)))))
cost-diff	0	(-.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))))))
cost-diff	2	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	49
0	18	49
1	35	43
2	81	43
3	187	43
4	607	43
5	2718	43
0	8125	43

Stop Event

1×	iter limit
1×	node limit
1×	iter 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))))))
#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
(-.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))))
#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)))))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(*.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 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
#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) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
x

localize86.0ms (0.9%)

Memory

8.0MiB live, 99.8MiB allocated; 7ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
accuracy	0.01171875	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
accuracy	15.248234279475684	(-.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))))))

Samples

61.0ms	90×	2	valid
10.0ms	127×	0	valid
7.0ms	39×	1	valid

Compiler

Compiled 81 to 11 computations (86.4% saved)

Precisions

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

ival-hypot: 11.0ms (31.7% of total)

adjust: 6.0ms (17.3% of total)

ival-add: 5.0ms (14.4% of total)

ival-div: 3.0ms (8.7% of total)

ival-sqrt: 3.0ms (8.7% of total)

ival-mult: 3.0ms (8.7% of total)

ival-sub: 2.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

5 → 56

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))))
1.0ms	x	@	inf	((* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))))
1.0ms	x	@	-inf	((* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))))

Time

Variable

Point

Expression

2.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify169.0ms (1.8%)

Memory

-6.0MiB live, 224.2MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	271	1549
1	722	1402
2	2807	1386
0	8190	1284

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 56

Calls

Call 1

Inputs
#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 (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 (/ 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 (* 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 (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 (/ 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 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 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 (/ 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))))

Outputs
#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(literal 1 binary64))
#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)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #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)))))) (fma.f64 (fma.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)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #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)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64))))
#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)))))))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
#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))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#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))))))) (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
#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))))))) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
#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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 2 binary64))
#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))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#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))))) (fma.f64 (fma.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))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (fma.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(hole binary64 1))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(literal 1 binary64))
#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)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#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)))) (fma.f64 (fma.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)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (fma.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 (* 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(literal 1/2 binary64))
#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)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
#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)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#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)))))))) #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)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.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)))))))) #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)))))))) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #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)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 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 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#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))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#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))))))) #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))))))) (+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 1 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
#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))))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x) #s(literal -1 binary64)))
#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 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) 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)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) 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)))) (/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) 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 (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64)))) 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)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) 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)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) 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 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) 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)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (-.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)))))))) #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)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) x)) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#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))))))) (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))))))) #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))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) x)) 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))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) 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 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) 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)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) 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)))) (/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 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 (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 x)))

rewrite69.0ms (0.7%)

Memory

-2.6MiB live, 99.7MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
0	18	33
1	82	33
0	642	30

Stop Event

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

Counts

5 → 76

Calls

Call 1

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

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

eval51.0ms (0.5%)

Memory: -8.1MiB live, 38.8MiB allocated; 2ms collecting garbage
Compiler: Compiled 2 918 to 644 computations (77.9% saved)

prune26.0ms (0.3%)

Memory

-24.3MiB live, 23.3MiB allocated; 2ms collecting garbage

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	120	12	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	12	133

Accuracy

77.2%

Counts

133 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.9%	(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	76.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
	76.9%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	76.2%	(-.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))))
▶	27.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #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)))))))
	28.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.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)))))
	28.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
▶	27.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
▶	47.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
	48.2%	(-.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)))))
	28.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
▶	49.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))

Compiler

Compiled 568 to 372 computations (34.5% saved)

simplify146.0ms (1.5%)

Memory

-9.9MiB live, 179.6MiB allocated; 67ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
cost-diff	0	(+.f64 #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))))
cost-diff	0	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #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))))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #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)))))))
cost-diff	1	(.f64 #s(literal 1/2 binary64) (+.f64 #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)))))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
cost-diff	0	(cos.f64 (atan.f64 x))
cost-diff	0	(fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
cost-diff	2	(-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	399
0	68	399
1	121	379
2	279	379
3	871	379
4	3556	379
0	8278	360

Stop Event

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

Calls

Call 1

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

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

localize303.0ms (3.2%)

Memory

15.0MiB live, 463.1MiB allocated; 107ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)
accuracy	0.4616778132289221	(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
accuracy	15.248234279475684	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
accuracy	33.105258254446284	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))
accuracy	0.00390625	(+.f64 #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))))
accuracy	0.01171875	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #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))))))
accuracy	15.248234279475684	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #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)))))))
accuracy	30.929560589389272	#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy	15.248234279475684	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
accuracy	31.046354239854526	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	0.01171875	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
accuracy	15.248234279475684	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
accuracy	27.366382888290282	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
accuracy	0.01171875	(sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	0.01953125	(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
accuracy	14.768546918131312	(-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	28.64048000749132	(cos.f64 (atan.f64 x))

Samples

146.0ms	136×	2	valid
67.0ms	115×	1	valid
1.0ms	5×	0	valid

Compiler

Compiled 339 to 31 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

adjust: 66.0ms (38.2% of total)

ival-cos: 25.0ms (14.5% of total)

ival-mult: 18.0ms (10.4% of total)

ival-div: 14.0ms (8.1% of total)

ival-add: 13.0ms (7.5% of total)

ival-sub: 11.0ms (6.4% of total)

ival-hypot: 10.0ms (5.8% of total)

ival-sqrt: 9.0ms (5.2% of total)

ival-atan: 6.0ms (3.5% of total)

exact: 1.0ms (0.6% of total)

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

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

series32.0ms (0.3%)

Memory

1.4MiB live, 46.4MiB allocated; 31ms collecting garbage

Counts

24 → 79

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
22.0ms	x	@	inf	((- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (/ (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (+ (* (cos (atan x)) 1/2) 1/2) (cos (atan x)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* (* x x) -1/4) 1) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- (/ (- 1/2 (/ 1/4 (* x x))) x) -1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (* x x) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/ 1/4 (* x x)) (/ (- 1/2 (/ 1/4 (* x x))) x))
4.0ms	x	@	0	((- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (/ (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (+ (* (cos (atan x)) 1/2) 1/2) (cos (atan x)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* (* x x) -1/4) 1) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- (/ (- 1/2 (/ 1/4 (* x x))) x) -1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (* x x) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/ 1/4 (* x x)) (/ (- 1/2 (/ 1/4 (* x x))) x))
3.0ms	x	@	-inf	((- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (/ (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (+ (* (cos (atan x)) 1/2) 1/2) (cos (atan x)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* (* x x) -1/4) 1) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- (/ (- 1/2 (/ 1/4 (* x x))) x) -1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (* x x) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/ 1/4 (* x x)) (/ (- 1/2 (/ 1/4 (* x x))) x))

Time

Variable

Point

Expression

22.0ms

inf

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

4.0ms

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

3.0ms

-inf

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

simplify224.0ms (2.3%)

Memory

2.4MiB live, 294.0MiB allocated; 115ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	331	1948
1	856	1797
2	3178	1781
0	8546	1660

Stop Event

1×	iter limit
1×	node limit

Counts

79 → 79

Calls

Call 1

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

Outputs
#s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (atan x))))))
#s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (atan x)))) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))))
#s(approx (/ (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
#s(approx (+ (* (cos (atan x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (atan x))))))
#s(approx (+ (* (cos (atan x)) 1/2) 1/2) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (cos (atan x)) #s(hole binary64 (cos (atan x))))
#s(approx (cos (atan x)) (cos.f64 (atan.f64 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)))))))) (neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #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)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64))))
#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)))))))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
#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))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#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))))))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
#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))))))) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
#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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
#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(literal 1 binary64))
#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)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
#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)))))) (fma.f64 (fma.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)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.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 (+ (* (* x x) -1/4) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/4) 1) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ (* (* x x) -1/4) 1) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 2 binary64))
#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))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#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))))) (fma.f64 (fma.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))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (fma.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 (- (/ (- 1/2 (/ 1/4 (* x x))) x) -1/2) #s(hole binary64 (/ -1/4 (pow x 3))))
#s(approx (- (/ (- 1/2 (/ 1/4 (* x x))) x) -1/2) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ (- 1/2 (/ 1/4 (* x x))) x) -1/2) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1/4) (pow x 3))))
#s(approx (- (/ (- 1/2 (/ 1/4 (* x x))) x) -1/2) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ (- 1/2 (/ 1/4 (* x x))) x) -1/2) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (* 1/2 x))) 1/4) (pow x 3))))
#s(approx (- (/ (- 1/2 (/ 1/4 (* x x))) x) -1/2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) #s(hole binary64 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))
#s(approx (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(literal 1 binary64))
#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)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#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)))) (fma.f64 (fma.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)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (fma.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 (/ 1/4 (* x x)) #s(hole binary64 (/ 1/4 (pow x 2))))
#s(approx (/ 1/4 (* x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
#s(approx (/ (- 1/2 (/ 1/4 (* x x))) x) #s(hole binary64 (/ -1/4 (pow x 3))))
#s(approx (/ (- 1/2 (/ 1/4 (* x x))) x) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- 1/2 (/ 1/4 (* x x))) x) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1/4) (pow x 3))))
#s(approx (/ (- 1/2 (/ 1/4 (* x x))) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#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)))))))) #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)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.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)))))))) #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)))))))) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #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)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 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 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#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))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#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))))))) #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))))))) (+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x) (sqrt.f64 #s(literal 1/2 binary64)))))
#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(literal 1/2 binary64))
#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)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
#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)))))) (-.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)))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (* x x) -1/4) 1) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))
#s(approx (+ (* (* x x) -1/4) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))))
#s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/4 binary64)) x) x))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 1 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
#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))))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x) #s(literal -1 binary64)))
#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 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (/ (- 1/2 (/ 1/4 (* x x))) x) -1/2) #s(hole binary64 1/2))
#s(approx (- (/ (- 1/2 (/ 1/4 (* x x))) x) -1/2) #s(literal 1/2 binary64))
#s(approx (- (/ (- 1/2 (/ 1/4 (* x x))) x) -1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (- (/ (- 1/2 (/ 1/4 (* x x))) x) -1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
#s(approx (- (/ (- 1/2 (/ 1/4 (* x x))) x) -1/2) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (- (/ (- 1/2 (/ 1/4 (* x x))) x) -1/2) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) 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)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) 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)))) (/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) 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 (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64)))) x))
#s(approx (/ (- 1/2 (/ 1/4 (* x x))) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (- 1/2 (/ 1/4 (* x x))) x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1/2 (/ 1/4 (* x x))) x) #s(hole binary64 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
#s(approx (/ (- 1/2 (/ 1/4 (* x x))) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) 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)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (-.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)))))))) #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)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64))) x)) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#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))))))) (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))))))) #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))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64))) x)) x) (sqrt.f64 #s(literal 1/2 binary64))))
#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)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) 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)))))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64)))
#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 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) 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))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) 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 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) x)))
#s(approx (- (/ (- 1/2 (/ 1/4 (* x x))) x) -1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))))
#s(approx (- (/ (- 1/2 (/ 1/4 (* x x))) x) -1/2) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) 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)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) 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)))) (/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 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 (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 x)))
#s(approx (/ (- 1/2 (/ 1/4 (* x x))) x) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))))
#s(approx (/ (- 1/2 (/ 1/4 (* x x))) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x))

rewrite121.0ms (1.3%)

Memory

-6.1MiB live, 145.5MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	352
0	68	273
1	296	263
0	2442	260

Stop Event

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

Counts

24 → 304

Calls

Call 1

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

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

eval130.0ms (1.4%)

Memory: -6.8MiB live, 130.1MiB allocated; 16ms collecting garbage
Compiler: Compiled 15 466 to 2 100 computations (86.4% saved)

prune26.0ms (0.3%)

Memory

30.7MiB live, 76.6MiB allocated; 4ms collecting garbage

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	460	14	474
Fresh	1	6	7
Picked	2	3	5
Done	0	0	0
Total	463	23	486

Accuracy

77.3%

Counts

486 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.9%	(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	50.0%	(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) #s(literal 1 binary64)))
	50.1%	(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
	76.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
▶	27.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
	27.9%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
	47.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
	49.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	76.2%	(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	76.9%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
▶	27.9%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))))
	47.8%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
	27.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
	76.2%	(-.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))))
	28.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.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)))))
▶	28.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
✓	27.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
✓	47.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
	48.2%	(-.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)))))
	2.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/4 binary64)) x) x)))))
▶	28.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64)))))
✓	49.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	48.9%	(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (-.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Compiler

Compiled 1 572 to 768 computations (51.1% saved)

simplify135.0ms (1.4%)

Memory

-29.8MiB live, 162.8MiB allocated; 17ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3/2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3/2 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
cost-diff	0	#s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64)))))
cost-diff	0	(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
cost-diff	2	(-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	693
0	82	664
1	143	612
2	321	612
3	956	612
4	3514	612
0	8147	610

Stop Event

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

Calls

Call 1

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

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

localize1.6s (16.7%)

Memory

-109.6MiB live, 1 264.2MiB allocated; 1.3s collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3/2 binary64))
accuracy	0.06640625	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
accuracy	14.743196822848645	(-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3/2 binary64)))
accuracy	31.046354239854526	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0.01171875	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
accuracy	0.015625	(/.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
accuracy	14.743554368932445	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))))
accuracy	31.046354239854526	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0.01953125	(fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
accuracy	0.05859375	(fma.f64 #s(literal 3/16 binary64) (*.f64 x x) #s(literal -1/4 binary64))
accuracy	15.248234279475684	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
accuracy	30.002580869901784	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))
accuracy	0.01171875	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64))))
accuracy	15.248234279475684	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64)))))
accuracy	31.046354239854526	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64)))
accuracy	31.388693089026123	#s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64))
accuracy	0.01953125	(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
accuracy	14.768546918131312	(-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	14.923724772784865	(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
accuracy	28.64048000749132	(cos.f64 (atan.f64 x))

Samples

1.4s	136×	2	valid
157.0ms	115×	1	valid
2.0ms	5×	0	valid

Compiler

Compiled 561 to 45 computations (92% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-pow: 1.0s (73.9% of total)

ival-mult: 111.0ms (8.1% of total)

adjust: 107.0ms (7.8% of total)

ival-div: 51.0ms (3.7% of total)

ival-add: 31.0ms (2.3% of total)

ival-cos: 20.0ms (1.5% of total)

ival-hypot: 13.0ms (0.9% of total)

ival-sub: 12.0ms (0.9% of total)

ival-sqrt: 8.0ms (0.6% of total)

ival-atan: 5.0ms (0.4% of total)

exact: 1.0ms (0.1% of total)

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

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

series72.0ms (0.7%)

Memory

24.7MiB live, 68.6MiB allocated; 20ms collecting garbage

Counts

23 → 170

Calls

Call 1

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

Outputs
#s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))))
#s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))))
#s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) #s(hole binary64 (* 1/4 (/ (pow x 2) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))))))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) #s(hole binary64 (* (pow x 2) (+ (* -3/16 (/ (pow x 2) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))) (* 1/4 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))))))))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* 5/32 (/ (pow x 2) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))) (* 3/16 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))))) (* 1/4 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))))))))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -35/256 (/ (pow x 2) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))) (* 5/32 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))))) (* 3/16 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))))) (* 1/4 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))))))))
#s(approx (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (pow (+ (* x x) 1) -1/2) #s(hole binary64 1))
#s(approx (pow (+ (* x x) 1) -1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (pow (+ (* x x) 1) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (pow (+ (* x x) 1) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#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 (+ (* (* x x) -1/4) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/4) 1) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ (* (+ (* 3/16 (* x x)) -1/4) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 3/16 (* x x)) -1/4) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ (* (+ (* 3/16 (* x x)) -1/4) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) #s(hole binary64 (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) #s(hole binary64 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (+ (* 1/2 (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/4 (/ (* (sqrt 1/2) (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (* 5/16 (/ 1 (+ 1 (* (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) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* 1/8 (/ (* (pow (sqrt 1/2) 2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))))) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (+ (* 1/2 (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/8 (/ (* (pow (sqrt 1/2) 2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* 1/8 (/ (* (pow (sqrt 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#s(approx (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) #s(hole binary64 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))
#s(approx (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) #s(hole binary64 (+ (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))
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#s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))))
#s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))))
#s(approx (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2) #s(hole binary64 (- (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))))
#s(approx (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2) #s(hole binary64 (+ (sqrt 1/8) (* -1 (/ (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x)))))
#s(approx (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2) #s(hole binary64 (+ (sqrt 1/8) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x)))))
#s(approx (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) #s(hole binary64 (+ (* -1/2 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/2 (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ (+ (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2))))) x))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))))) (* 1/2 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (+ (* -3/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (+ (* -1/8 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) x))) x)) (* 1/2 (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))

Calls

3 calls:

Time

Variable

Point

Expression

47.0ms

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

11.0ms

inf

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

6.0ms

-inf

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

simplify292.0ms (3%)

Memory

-26.0MiB live, 413.4MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1050	11898
1	3270	10704
0	8812	9760

Stop Event

1×	iter limit
1×	node limit

Counts

170 → 170

Calls

Call 1

Inputs
#s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))))
#s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))))
#s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) #s(hole binary64 (* 1/4 (/ (pow x 2) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))))))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) #s(hole binary64 (* (pow x 2) (+ (* -3/16 (/ (pow x 2) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))) (* 1/4 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))))))))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* 5/32 (/ (pow x 2) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))) (* 3/16 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))))) (* 1/4 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))))))))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -35/256 (/ (pow x 2) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))) (* 5/32 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))))) (* 3/16 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))))) (* 1/4 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))))))))
#s(approx (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (pow (+ (* x x) 1) -1/2) #s(hole binary64 1))
#s(approx (pow (+ (* x x) 1) -1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (pow (+ (* x x) 1) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (pow (+ (* x x) 1) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#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 (+ (* (* x x) -1/4) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/4) 1) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ (* (+ (* 3/16 (* x x)) -1/4) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 3/16 (* x x)) -1/4) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ (* (+ (* 3/16 (* x x)) -1/4) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
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#s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))))
#s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) #s(hole binary64 (+ (* 1/2 (/ 1 (* x (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))))))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) #s(hole binary64 (+ (* -1 (/ (- (* 1/4 (/ 1 (* (pow x 2) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))))))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) #s(hole binary64 (+ (* -1 (/ (- (/ 1/4 (* (pow x 2) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))) (/ 3/16 (* (pow x 4) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))))))
#s(approx (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (pow (+ (* x x) 1) -1/2) #s(hole binary64 (/ -1 x)))
#s(approx (pow (+ (* x x) 1) -1/2) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (pow (+ (* x x) 1) -1/2) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (pow (+ (* x x) 1) -1/2) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) #s(hole binary64 (+ (* 1/2 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2))))) x)) (+ (* -1/4 (/ (pow (sqrt 1/2) 2) (* x (pow (+ 1 (sqrt 1/2)) 3)))) (* -1/8 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))))) (+ (* 1/2 (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (/ (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))) (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* x (+ 1 (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (+ (* -3/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (+ (* -1/8 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) x)) (+ (* -3/16 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/16 (/ (pow (sqrt 1/2) 2) (* x (pow (+ 1 (sqrt 1/2)) 3))))))) (+ (* -1/2 (+ (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))) (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))) x)) (+ (* 1/2 (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) #s(hole binary64 (+ (* 1/2 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1 (+ 1 (sqrt 1/2))))))
#s(approx (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/4 (/ (pow (sqrt 1/2) 2) (* x (pow (+ 1 (sqrt 1/2)) 3)))) (* -1/8 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 1 (sqrt 1/2))))))
#s(approx (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (/ (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))) (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* x (+ 1 (sqrt 1/2))))) (+ (* -3/16 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/16 (/ (pow (sqrt 1/2) 2) (* x (pow (+ 1 (sqrt 1/2)) 3)))))) (+ (* -1/4 (/ (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))) (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 1 (sqrt 1/2))))))
#s(approx (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x))))))
#s(approx (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1) #s(hole binary64 (+ 1 (+ (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))))))) 1) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x))))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (- (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ 1 (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (- (+ (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) #s(hole binary64 (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (+ (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (+ 3/2 (sqrt 1/2))) (/ (* (- 1 (sqrt 1/8)) (- (* -3/16 (sqrt 1/2)) 1/4)) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))
#s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) #s(hole binary64 (- (+ 1 (* 3/16 (/ 1 (* x (sqrt 1/8))))) (sqrt 1/8))))
#s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))))
#s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))))
#s(approx (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2) #s(hole binary64 (- (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))))
#s(approx (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2) #s(hole binary64 (+ (sqrt 1/8) (* -1 (/ (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x)))))
#s(approx (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2) #s(hole binary64 (+ (sqrt 1/8) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x)))))
#s(approx (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) #s(hole binary64 (+ (* -1/2 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/2 (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ (+ (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2))))) x))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))))) (* 1/2 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (+ (* -3/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (+ (* -1/8 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) x))) x)) (* 1/2 (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))

Outputs
#s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))))
#s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))))
#s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.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(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))))
#s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (.f64 x x) #s(literal -3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) #s(hole binary64 (* 1/4 (/ (pow x 2) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))))))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
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rewrite145.0ms (1.5%)

Memory

19.9MiB live, 303.9MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	526
0	82	372
1	381	315
0	3154	315

Stop Event

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

Counts

23 → 359

Calls

Call 1

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

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

eval124.0ms (1.3%)

Memory: -33.0MiB live, 152.2MiB allocated; 18ms collecting garbage
Compiler: Compiled 38 872 to 2 466 computations (93.7% saved)

prune35.0ms (0.4%)

Memory

10.3MiB live, 101.0MiB allocated; 7ms collecting garbage

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	540	12	552
Fresh	5	10	15
Picked	2	3	5
Done	0	3	3
Total	547	28	575

Accuracy

99.9%

Counts

575 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.9%	(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
▶	76.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
	47.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
	51.1%	(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 (fma.f64 #s(literal 275/1024 binary64) (.f64 x x) #s(literal -39/128 binary64)) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
	51.0%	(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 #s(literal -39/128 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
	51.9%	(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (.f64 x x) #s(literal -3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	53.0%	(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.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))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	51.4%	(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	52.4%	(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
▶	76.2%	(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	76.9%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
▶	47.8%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
	27.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
	76.2%	(-.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))))
	28.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.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)))))
✓	28.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
✓	27.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
✓	47.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
	48.2%	(-.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)))))
	2.3%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x))))))
✓	28.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64)))))
✓	49.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	48.9%	(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (-.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
▶	52.4%	#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
	52.0%	#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (neg.f64 x) x) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) #s(literal 8043/32768 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 275/1024 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal -5/32 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64)))) (-.f64 (/.f64 #s(literal 275/1024 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))) (.f64 x x)) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 x x) (/.f64 #s(literal 3/8 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 x x)))
	53.0%	#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 5/32 binary64) (.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 3/16 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (*.f64 x x)))
	51.9%	#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (.f64 x x)) (/.f64 #s(literal 3/16 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (.f64 x x)))
▶	49.8%	#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))

Compiler

Compiled 2 733 to 1 185 computations (56.6% saved)

simplify140.0ms (1.5%)

Memory

15.6MiB live, 208.5MiB allocated; 36ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 (atan.f64 x))
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64))))
cost-diff	0	(+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 3/8 binary64) (.f64 x x))
cost-diff	0	(/.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
cost-diff	0	(pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
cost-diff	2	(+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	617
0	99	617
1	166	581
2	364	577
3	1099	563
4	4442	563
0	8467	547

Stop Event

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

Calls

Call 1

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

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

localize716.0ms (7.4%)

Memory

32.3MiB live, 1 031.4MiB allocated; 141ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	0.01953125	(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
accuracy	14.73151834597928	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))
accuracy	28.64048000749132	(cos.f64 (atan.f64 x))
accuracy	0.0234375	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)
accuracy	0.4616778132289221	(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
accuracy	14.743554368932445	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
accuracy	33.105258254446284	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))
accuracy	0.0	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	0.12109375	(.f64 #s(literal 3/8 binary64) (.f64 x x))
accuracy	0.12890625	(/.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
accuracy	30.454413718741385	#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
accuracy	0.0	(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))
accuracy	0.0	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	32.15254732486308	#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
accuracy	0.0234375	(pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
accuracy	0.06640625	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
accuracy	14.743196822848645	(-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
accuracy	28.64048000749132	(cos.f64 (atan.f64 x))

Samples

504.0ms	135×	2	valid
158.0ms	116×	1	valid
2.0ms	5×	0	valid

Compiler

Compiled 527 to 55 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 601.0ms

ival-pow: 308.0ms (51.3% of total)

adjust: 100.0ms (16.7% of total)

ival-add: 56.0ms (9.3% of total)

ival-div: 39.0ms (6.5% of total)

ival-cos: 27.0ms (4.5% of total)

ival-mult: 22.0ms (3.7% of total)

ival-sub: 19.0ms (3.2% of total)

ival-sqrt: 12.0ms (2% of total)

ival-hypot: 10.0ms (1.7% of total)

ival-atan: 6.0ms (1% of total)

exact: 1.0ms (0.2% of total)

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

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

series87.0ms (0.9%)

Memory

-45.8MiB live, 49.9MiB allocated; 22ms collecting garbage

Counts

24 → 84

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2))) 1) #s(hole binary64 (+ 1 (+ (sqrt (+ 1/2 (* 1/2 (cos (atan x))))) (* 1/2 (+ 1 (cos (atan x))))))))
#s(approx (/ (- 1 (pow (+ (* (cos (atan x)) 1/2) 1/2) 3/2)) (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2))) 1)) #s(hole binary64 (/ (- 1 (sqrt (pow (+ 1/2 (* 1/2 (cos (atan x)))) 3))) (+ 1 (+ (sqrt (+ 1/2 (* 1/2 (cos (atan x))))) (* 1/2 (+ 1 (cos (atan x)))))))))
#s(approx (- 1 (pow (+ (* (cos (atan x)) 1/2) 1/2) 3/2)) #s(hole binary64 (- 1 (sqrt (pow (+ 1/2 (* 1/2 (cos (atan x)))) 3)))))
#s(approx (pow (+ (* (cos (atan x)) 1/2) 1/2) 3/2) #s(hole binary64 (sqrt (pow (+ 1/2 (* 1/2 (cos (atan x)))) 3))))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) #s(hole binary64 (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) #s(hole binary64 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (+ (* 1/2 (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/4 (/ (* (sqrt 1/2) (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (* 5/16 (/ 1 (+ 1 (* (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) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* 1/8 (/ (* (pow (sqrt 1/2) 2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))))) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (+ (* 1/2 (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/8 (/ (* (pow (sqrt 1/2) 2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* 1/8 (/ (* (pow (sqrt 1/2) 2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/2 (- (* 35/128 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/4 (/ (* (sqrt 1/2) (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (* 5/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (* (sqrt 2) (+ 1 (* (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)))) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/2 (/ (* (sqrt 1/2) (* (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 35/128 (+ (* 1/4 (/ (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/4 (/ (pow (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) 2) (pow (sqrt 2) 2)))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (* 1/2 (/ (* (sqrt 1/2) (- 35/128 (+ (* 1/4 (/ (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/4 (/ (pow (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) 2) (pow (sqrt 2) 2)))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))))) (+ (* -1/2 (+ (* -1 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/4 (/ (* (sqrt 1/2) (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (* 5/16 (/ 1 (+ 1 (* (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) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* 1/8 (/ (* (pow (sqrt 1/2) 2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))))) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (+ (* 1/2 (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 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#s(approx (/ (- 1/2 (/ 1/4 (* x x))) x) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))))

Calls

3 calls:

Time

Variable

Point

Expression

9.0ms

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

7.0ms

inf

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

6.0ms

-inf

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

simplify251.0ms (2.6%)

Memory

22.1MiB live, 255.7MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	698	7903
1	2247	6844
0	9172	6243

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite152.0ms (1.6%)

Memory

-12.1MiB live, 185.3MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	461
0	99	341
1	507	264
0	4159	263

Stop Event

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

Counts

24 → 451

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (fma.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal -1/2 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal -1/2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (fma.f64 (fma.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal -1/2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal -1/2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (fma.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/4 binary64)))) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)))) (.f64 (fma.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/4 binary64)))) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (fma.f64 (fma.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (.f64 (fma.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/4 binary64)))) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64)))) (.f64 (fma.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/4 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64))) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)))
(fma.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (.f64 x x))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x))
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) x))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/4 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)) (.f64 (sqrt.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/4 binary64))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))

eval142.0ms (1.5%)

Memory: 38.7MiB live, 224.9MiB allocated; 22ms collecting garbage
Compiler: Compiled 65 639 to 3 708 computations (94.4% saved)

prune74.0ms (0.8%)

Memory

0.0MiB live, 149.0MiB allocated; 10ms collecting garbage

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	930	12	942
Fresh	7	10	17
Picked	4	1	5
Done	3	3	6
Total	944	26	970

Accuracy

99.9%

Counts

970 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 9/2 binary64))) (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 1 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
	76.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
	76.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))
	77.0%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 9/2 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
	47.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
	51.1%	(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 (fma.f64 #s(literal 275/1024 binary64) (.f64 x x) #s(literal -39/128 binary64)) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
	51.0%	(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 #s(literal -39/128 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
	51.9%	(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (.f64 x x) #s(literal -3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	53.0%	(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.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))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	51.4%	(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	76.3%	(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	47.8%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
	76.2%	(-.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))))
	28.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.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)))))
✓	28.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
✓	47.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
	48.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
✓	49.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	48.9%	(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	52.0%	#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (neg.f64 x) x) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3/16 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 8043/32768 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 275/1024 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/8 binary64) #s(literal 9/128 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64)))) (-.f64 (/.f64 #s(literal 275/1024 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/8 binary64) #s(literal 9/128 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 x x)) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 x x) (/.f64 #s(literal 3/8 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 x x)))
	52.3%	#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (/.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
	52.4%	#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
	52.3%	#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 #s(literal 3/8 binary64) x) (/.f64 x #s(literal 3 binary64))))
	53.0%	#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 5/32 binary64) (.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 3/16 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (*.f64 x x)))
	51.9%	#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (.f64 x x)) (/.f64 #s(literal 3/16 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (.f64 x x)))
✓	49.8%	#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))

Compiler

Compiled 4 178 to 1 003 computations (76% saved)

regimes96.0ms (1%)

Memory

-10.3MiB live, 133.0MiB allocated; 8ms collecting garbage

Counts

51 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 #s(literal 3/8 binary64) x) (/.f64 x #s(literal 3 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (/.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #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)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.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 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/4 binary64)) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 #s(literal -39/128 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 (fma.f64 #s(literal 275/1024 binary64) (.f64 x x) #s(literal -39/128 binary64)) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.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))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.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))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (.f64 x x) #s(literal -3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (-.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 5/32 binary64) (.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 3/16 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (.f64 x x)) (/.f64 #s(literal 3/16 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 9/2 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 9/2 binary64))) (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 1 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (neg.f64 x) x) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3/16 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 8043/32768 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 275/1024 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/8 binary64) #s(literal 9/128 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64)))) (-.f64 (/.f64 #s(literal 275/1024 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/8 binary64) #s(literal 9/128 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 x x)) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 x x) (/.f64 #s(literal 3/8 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 x x)))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (neg.f64 x) x) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) #s(literal 8043/32768 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 275/1024 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal -5/32 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64)))) (-.f64 (/.f64 #s(literal 275/1024 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))) (.f64 x x)) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 x x) (/.f64 #s(literal 3/8 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 x x)))

Outputs

#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3/16 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 8043/32768 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 275/1024 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/8 binary64) #s(literal 9/128 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64)))) (-.f64 (/.f64 #s(literal 275/1024 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/8 binary64) #s(literal 9/128 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 x x)) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 x x) (/.f64 #s(literal 3/8 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 x x)))

(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 9/2 binary64))) (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 1 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

Calls

7 calls:

27.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
12.0ms	x
12.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
11.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
10.0ms	(hypot.f64 #s(literal 1 binary64) x)

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)

regimes83.0ms (0.9%)

Memory

12.5MiB live, 104.0MiB allocated; 5ms collecting garbage

Counts

49 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 #s(literal 3/8 binary64) x) (/.f64 x #s(literal 3 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (/.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #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)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.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 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/4 binary64)) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 #s(literal -39/128 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 (fma.f64 #s(literal 275/1024 binary64) (.f64 x x) #s(literal -39/128 binary64)) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.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))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.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))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (.f64 x x) #s(literal -3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (-.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 5/32 binary64) (.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 3/16 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (.f64 x x)) (/.f64 #s(literal 3/16 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 9/2 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 9/2 binary64))) (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 1 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

Outputs

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

(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 9/2 binary64))) (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 1 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

Calls

7 calls:

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

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)

regimes103.0ms (1.1%)

Memory

-47.1MiB live, 77.3MiB allocated; 32ms collecting garbage

Counts

48 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 #s(literal 3/8 binary64) x) (/.f64 x #s(literal 3 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (/.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #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)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.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 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/4 binary64)) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 #s(literal -39/128 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 (fma.f64 #s(literal 275/1024 binary64) (.f64 x x) #s(literal -39/128 binary64)) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.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))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.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))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (.f64 x x) #s(literal -3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (-.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 5/32 binary64) (.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 3/16 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (.f64 x x)) (/.f64 #s(literal 3/16 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 9/2 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))

Outputs

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

(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 9/2 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))

Calls

7 calls:

29.0ms	x
24.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
11.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
10.0ms	(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
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)

regimes95.0ms (1%)

Memory

-11.3MiB live, 125.9MiB allocated; 13ms collecting garbage

Counts

47 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 #s(literal 3/8 binary64) x) (/.f64 x #s(literal 3 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (/.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #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)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.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 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/4 binary64)) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 #s(literal -39/128 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 (fma.f64 #s(literal 275/1024 binary64) (.f64 x x) #s(literal -39/128 binary64)) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.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))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.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))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (.f64 x x) #s(literal -3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (-.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 5/32 binary64) (.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 3/16 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (.f64 x x)) (/.f64 #s(literal 3/16 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (atan.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))

Outputs

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

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

Calls

7 calls:

28.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
13.0ms	(hypot.f64 #s(literal 1 binary64) x)
11.0ms	x
11.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
11.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))

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)

regimes68.0ms (0.7%)

Memory

35.7MiB live, 132.8MiB allocated; 9ms collecting garbage

Counts

42 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 #s(literal 3/8 binary64) x) (/.f64 x #s(literal 3 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (/.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #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)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.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 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/4 binary64)) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 #s(literal -39/128 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 (fma.f64 #s(literal 275/1024 binary64) (.f64 x x) #s(literal -39/128 binary64)) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.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))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.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))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (.f64 x x) #s(literal -3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (cos.f64 (atan.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (-.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 5/32 binary64) (.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 3/16 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (*.f64 x x)))

Outputs

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

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

Calls

7 calls:

11.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
11.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
10.0ms	x
8.0ms	(hypot.f64 #s(literal 1 binary64) x)
8.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
99.9%	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)

regimes65.0ms (0.7%)

Memory

-27.4MiB live, 117.0MiB allocated; 15ms collecting garbage

Counts

37 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 #s(literal 3/8 binary64) x) (/.f64 x #s(literal 3 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (/.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #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)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.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 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/4 binary64)) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 #s(literal -39/128 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 (fma.f64 #s(literal 275/1024 binary64) (.f64 x x) #s(literal -39/128 binary64)) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.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))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.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))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (.f64 x x) #s(literal -3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Outputs

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

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

Calls

7 calls:

12.0ms	x
10.0ms	(hypot.f64 #s(literal 1 binary64) x)
10.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
9.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
7.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes56.0ms (0.6%)

Memory

17.5MiB live, 110.2MiB allocated; 7ms collecting garbage

Counts

34 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 #s(literal 3/8 binary64) x) (/.f64 x #s(literal 3 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (/.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #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)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.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 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/4 binary64)) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 #s(literal -39/128 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 (fma.f64 #s(literal 275/1024 binary64) (.f64 x x) #s(literal -39/128 binary64)) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.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))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.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))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (.f64 x x) #s(literal -3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Outputs

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes106.0ms (1.1%)

Memory

-5.5MiB live, 92.5MiB allocated; 7ms collecting garbage

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 #s(literal 3/8 binary64) x) (/.f64 x #s(literal 3 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (/.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #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)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.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 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/4 binary64)) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 #s(literal -39/128 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 (fma.f64 #s(literal 275/1024 binary64) (.f64 x x) #s(literal -39/128 binary64)) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.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))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.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))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Outputs

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

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

Calls

7 calls:

35.0ms	(-.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))))))
34.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
8.0ms	x
7.0ms	(hypot.f64 #s(literal 1 binary64) x)
6.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes54.0ms (0.6%)

Memory

20.0MiB live, 110.3MiB allocated; 10ms collecting garbage

Counts

31 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 #s(literal 3/8 binary64) x) (/.f64 x #s(literal 3 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (/.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #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)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.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 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/4 binary64)) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 #s(literal -39/128 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 (fma.f64 #s(literal 275/1024 binary64) (.f64 x x) #s(literal -39/128 binary64)) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.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))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (.f64 (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Outputs

(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 275/1024 binary64) (*.f64 x x) #s(literal -39/128 binary64)) (*.f64 x x) #s(literal 3/8 binary64)) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
98.9%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.9%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.9%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.9%	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)))))`
98.9%	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))))))`
98.9%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes45.0ms (0.5%)

Memory

-10.8MiB live, 91.0MiB allocated; 14ms collecting garbage

Counts

22 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 #s(literal 3/8 binary64) x) (/.f64 x #s(literal 3 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (/.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #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)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.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 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/4 binary64)) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 #s(literal -39/128 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 (fma.f64 #s(literal 275/1024 binary64) (.f64 x x) #s(literal -39/128 binary64)) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))))

Outputs

(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 275/1024 binary64) (*.f64 x x) #s(literal -39/128 binary64)) (*.f64 x x) #s(literal 3/8 binary64)) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))

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

Calls

7 calls:

11.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
8.0ms	x
6.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
5.0ms	(hypot.f64 #s(literal 1 binary64) x)
5.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
98.6%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.6%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.6%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.6%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.6%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.6%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.6%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes34.0ms (0.4%)

Memory

-20.5MiB live, 72.4MiB allocated; 3ms collecting garbage

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 #s(literal 3/8 binary64) x) (/.f64 x #s(literal 3 binary64))))
#s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (/.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #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)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.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 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/4 binary64)) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (.f64 (fma.f64 #s(literal -39/128 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))

Outputs

(/.f64 #s(approx (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (*.f64 (fma.f64 #s(literal -39/128 binary64) (*.f64 x x) #s(literal 3/8 binary64)) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
98.5%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.5%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.5%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.5%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.5%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.5%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes42.0ms (0.4%)

Memory

7.6MiB live, 54.6MiB allocated; 1ms collecting garbage

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

14.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
5.0ms	x
5.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
4.0ms	(hypot.f64 #s(literal 1 binary64) x)
4.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes17.0ms (0.2%)

Memory

-16.2MiB live, 32.6MiB allocated; 6ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes7.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

7 calls:

1.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms	x
1.0ms	(hypot.f64 #s(literal 1 binary64) x)
1.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
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
52.4%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
52.4%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
52.4%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
52.4%	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)))))`
52.4%	1	`(hypot.f64 #s(literal 1 binary64) x)`
52.4%	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))))))`
52.4%	1	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch14.0ms (0.1%)

Memory

-15.6MiB live, 30.3MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.018056318453003078	0.05992075712070675

Samples

8.0ms

80×

valid

Compiler

Compiled 1 920 to 483 computations (74.8% saved)

Precisions

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

ival-sqrt: 3.0ms (47.5% of total)

ival-div: 1.0ms (15.8% of total)

ival-mult: 1.0ms (15.8% of total)

ival-hypot: 1.0ms (15.8% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch7.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.018056318453003078	0.05992075712070675

Samples

3.0ms

48×

valid

Compiler

Compiled 635 to 323 computations (49.1% saved)

Precisions

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

ival-hypot: 1.0ms (43.1% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.018056318453003078	0.05992075712070675

Compiler

Compiled 625 to 313 computations (49.9% saved)

bsearch2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.018056318453003078	0.05992075712070675

Compiler

Compiled 555 to 303 computations (45.4% saved)

bsearch1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.018056318453003078	0.05992075712070675

Compiler

Compiled 395 to 253 computations (35.9% saved)

bsearch1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.018056318453003078	0.05992075712070675

Compiler

Compiled 345 to 233 computations (32.5% saved)

bsearch17.0ms (0.2%)

Memory

-9.0MiB live, 36.1MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.11624201882169777	15.513987180110833

Samples

8.0ms

112×

valid

Compiler

Compiled 734 to 391 computations (46.7% saved)

Precisions

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

ival-hypot: 2.0ms (37.7% of total)

ival-div: 1.0ms (18.8% of total)

ival-add: 1.0ms (18.8% of total)

ival-mult: 1.0ms (18.8% of total)

ival-sub: 1.0ms (18.8% of total)

ival-sqrt: 1.0ms (18.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.11624201882169777	15.513987180110833

Compiler

Compiled 699 to 377 computations (46.1% saved)

bsearch2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.11624201882169777	15.513987180110833

Compiler

Compiled 993 to 398 computations (59.9% saved)

bsearch5.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.11624201882169777	15.513987180110833

Samples

2.0ms

32×

valid

Compiler

Compiled 1 000 to 377 computations (62.3% saved)

Precisions

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

ival-hypot: 1.0ms (66.8% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.11624201882169777	15.513987180110833

Compiler

Compiled 965 to 363 computations (62.4% saved)

bsearch14.0ms (0.1%)

Memory

-17.0MiB live, 28.9MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.11624201882169777	15.513987180110833

Samples

9.0ms

96×

valid

Compiler

Compiled 832 to 321 computations (61.4% saved)

Precisions

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

ival-hypot: 2.0ms (44.1% of total)

ival-div: 1.0ms (22% of total)

ival-mult: 1.0ms (22% of total)

ival-sqrt: 1.0ms (22% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.11624201882169777	15.513987180110833

Compiler

Compiled 552 to 279 computations (49.5% saved)

simplify73.0ms (0.8%)

Memory

22.9MiB live, 109.2MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	203	1710
1	303	1636
2	573	1636
3	1346	1597
4	7160	1597

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 8358680908399641/288230376151711744 binary64)) #s(approx (/ (- 1 (pow (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 3/2)) (+ (+ 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (neg.f64 x) x) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3/16 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 8043/32768 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 275/1024 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/8 binary64) #s(literal 9/128 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64)))) (-.f64 (/.f64 #s(literal 275/1024 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/8 binary64) #s(literal 9/128 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 x x)) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 39/128 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 x x) (/.f64 #s(literal 3/8 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 9/2 binary64))) (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 1 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 3530822107858469/144115188075855872 binary64)) #s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (.f64 x x)) (/.f64 #s(literal 3/16 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (.f64 x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 9/2 binary64))) (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 1 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
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Outputs
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derivations632.0ms (6.6%)

Memory

-26.0MiB live, 589.6MiB allocated; 150ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 1 784 to 207 computations (88.4% saved)

preprocess120.0ms (1.3%)

Memory: 30.0MiB live, 170.2MiB allocated; 13ms collecting garbage
Compiler: Compiled 4 358 to 616 computations (85.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.9s (20%)

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preprocess225.0ms (2.3%)

eval0.0ms (0%)

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localize303.0ms (3.2%)

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regimes96.0ms (1%)

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regimes95.0ms (1%)

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regimes56.0ms (0.6%)

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regimes45.0ms (0.5%)

regimes34.0ms (0.4%)

regimes42.0ms (0.4%)

regimes17.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch17.0ms (0.2%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch5.0ms (0.1%)

bsearch2.0ms (0%)

bsearch14.0ms (0.1%)

bsearch1.0ms (0%)

simplify73.0ms (0.8%)

derivations632.0ms (6.6%)

preprocess120.0ms (1.3%)

end0.0ms (0%)

Profiling