Metrics for Given's Rotation SVD example, simplified

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

sample1.8s (19.6%)

Memory

26.1MiB live, 2 351.5MiB allocated

Samples

906.0ms	2 867×	2	valid
380.0ms	4 203×	0	valid
184.0ms	1 186×	1	valid

Precisions

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

ival-hypot: 526.0ms (43.9% of total)

ival-div: 131.0ms (10.9% of total)

adjust: 130.0ms (10.8% of total)

ival-sqrt: 125.0ms (10.4% of total)

ival-mult: 102.0ms (8.5% of total)

ival-add: 91.0ms (7.6% of total)

ival-sub: 77.0ms (6.4% of total)

exact: 7.0ms (0.6% of total)

ival-true: 6.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain227.0ms (2.4%)

Memory

-10.3MiB live, 268.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
67	1	(6.777594485187932e-162)	-	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
0	0	-	-	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(hypot.f64 #s(literal 1 binary64) x)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
0	0	-	-	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
0	0	-	-	`#s(literal 1/2 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`	cancellation	68	0

Confusion

	Predicted +	Predicted -
+	67	0
-	1	188

Precision

0.9852941176470589

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	67	0	0
-	1	0	188

Precision?

0.9852941176470589

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

87.0ms	168×	2	valid
22.0ms	246×	0	valid
16.0ms	98×	1	valid

Compiler

Compiled 174 to 31 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-hypot: 48.0ms (47.3% of total)

ival-mult: 22.0ms (21.7% of total)

ival-div: 7.0ms (6.9% of total)

adjust: 7.0ms (6.9% of total)

ival-sqrt: 7.0ms (6.9% of total)

ival-sub: 5.0ms (4.9% of total)

ival-add: 4.0ms (3.9% of total)

exact: 1.0ms (1% of total)

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

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

preprocess20.0ms (0.2%)

Memory

2.0MiB live, 36.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	37	27
2	70	27
3	95	27
4	127	27
5	134	27
0	9	12
0	18	12
1	35	10
2	65	10
3	105	10
4	137	10
5	144	10
0	144	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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

Symmetry

(abs x)

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.2%	(-.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)

simplify5.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	egg-herbie

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	65	43
3	105	43
4	137	43
5	144	43
0	144	43

Stop Event

1×	iter limit
1×	saturated
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 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 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)))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 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))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 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 (/.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

localize66.0ms (0.7%)

Memory

3.2MiB live, 54.9MiB allocated

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	0.0078125	(sqrt.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	0.015625	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
accuracy	15.856439615677555	(-.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

39.0ms	84×	2	valid
9.0ms	123×	0	valid
8.0ms	49×	1	valid

Compiler

Compiled 81 to 11 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-hypot: 28.0ms (61.1% of total)

ival-div: 3.0ms (6.5% of total)

adjust: 3.0ms (6.5% of total)

ival-sqrt: 3.0ms (6.5% of total)

ival-mult: 3.0ms (6.5% of total)

ival-sub: 2.0ms (4.4% of total)

ival-add: 2.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

5 → 54

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
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 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)))
(- (+ 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)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (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))))))
(+ (* (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))))))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(- (+ 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)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(+ (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)))))
(+ 1 (/ 1 x))
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)
(- 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
(/ -1 x)
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))
(* -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)))))

simplify174.0ms (1.9%)

Memory

-9.2MiB live, 255.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	845
1	633	767
2	1960	714
3	7820	714
0	8462	676

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 54

Calls

Call 1

Inputs
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 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)))
(- (+ 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)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (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))))))
(+ (* (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))))))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(- (+ 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)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(+ (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)))))
(+ 1 (/ 1 x))
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)
(- 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
(/ -1 x)
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/32 binary64) (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64))) (*.f64 x x) #s(literal 1 binary64))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 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)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 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)))
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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)))))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #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))))
(+ (* (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))))))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.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))))
(+ (* (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))))))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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))))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/16 binary64) (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/16 binary64) (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(-.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))))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(-.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))))
(- 1 (sqrt 1/2))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(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))))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 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)))))
(-.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)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 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)))))
(fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ 1 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 5 binary64))))
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(- 1/2 (* 1/2 (/ 1 x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))))))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(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))))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 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))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/16 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -3/16 binary64) x) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x))
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 x))

rewrite175.0ms (1.9%)

Memory

5.2MiB live, 160.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
0	18	33
1	82	33
2	609	33
3	6358	33
0	8243	30

Stop Event

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

Counts

5 → 280

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 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (cosh.f64 (atanh.f64 x))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tanh.f64 (asinh.f64 x)) #s(literal 2 binary64)) (cosh.f64 (atanh.f64 x))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (cosh.f64 (atanh.f64 x))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (cosh.f64 (atanh.f64 x))) (-.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (cosh.f64 (atanh.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (tanh.f64 (asinh.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (fma.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (tanh.f64 (asinh.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (tanh.f64 (asinh.f64 x)) #s(literal 2 binary64))) (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
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(*.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
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(*.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 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 (atanh.f64 x)))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(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 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(neg.f64 (neg.f64 (cosh.f64 (atanh.f64 x))))
(fma.f64 (tanh.f64 (asinh.f64 x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cosh.f64 (atanh.f64 x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cosh.f64 (atanh.f64 (exp.f64 (log.f64 x))))
(cosh.f64 (atanh.f64 (neg.f64 x)))
(cosh.f64 (atanh.f64 x))
(sin.f64 (acos.f64 (neg.f64 (tanh.f64 (asinh.f64 x)))))
(sin.f64 (acos.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (atan.f64 x)))))
(sin.f64 (acos.f64 (sin.f64 (neg.f64 (atan.f64 x)))))
(sin.f64 (acos.f64 (fabs.f64 (tanh.f64 (asinh.f64 x)))))
(sin.f64 (acos.f64 (tanh.f64 (asinh.f64 x))))
(sin.f64 (+.f64 (neg.f64 (atan.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (atan.f64 x)))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(-.f64 (cosh.f64 (log.f64 (cosh.f64 (atanh.f64 x)))) (sinh.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))))
(fabs.f64 (neg.f64 (cosh.f64 (atanh.f64 x))))
(fabs.f64 (cosh.f64 (atanh.f64 x)))
(cos.f64 (asin.f64 (neg.f64 (tanh.f64 (asinh.f64 x)))))
(cos.f64 (asin.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (atan.f64 x)))))
(cos.f64 (asin.f64 (sin.f64 (neg.f64 (atan.f64 x)))))
(cos.f64 (asin.f64 (fabs.f64 (tanh.f64 (asinh.f64 x)))))
(cos.f64 (asin.f64 (tanh.f64 (asinh.f64 x))))
(cos.f64 (atan.f64 (exp.f64 (log.f64 x))))
(cos.f64 (neg.f64 (atan.f64 x)))
(cos.f64 (atan.f64 x))
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (cosh.f64 (atanh.f64 x))))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal -1/2 binary64))))
(+.f64 (.f64 (tanh.f64 (asinh.f64 x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cosh.f64 (atanh.f64 x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (log.f64 (cosh.f64 (atanh.f64 x)))) (sinh.f64 (log.f64 (cosh.f64 (atanh.f64 x)))))

eval61.0ms (0.7%)

Memory: 1.2MiB live, 125.8MiB allocated
Compiler: Compiled 8 248 to 1 577 computations (80.9% saved)

prune55.0ms (0.6%)

Memory

-2.3MiB live, 37.1MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	320	14	334
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	321	14	335

Accuracy

75.9%

Counts

335 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.1%	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	2.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cosh.f64 (asinh.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)))) (cosh.f64 (asinh.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (-.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (-.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))))))))
▶	75.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
▶	75.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))))))
▶	46.4%	(-.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)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))))))
	28.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
	28.1%	(-.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)))))
▶	47.4%	(-.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)))))
	29.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
▶	47.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	3.6%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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))))))
	2.2%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.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))))))
	47.8%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
	28.1%	(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (fma.f64 (cosh.f64 (atanh.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 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))

Compiler

Compiled 788 to 504 computations (36% saved)

simplify50.0ms (0.5%)

Memory

-11.8MiB live, 42.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	423
0	67	412
1	109	359
2	178	354
3	293	354
4	504	354
5	663	354
6	777	354
7	870	354
8	884	354
9	886	354
10	887	354
0	887	348

Stop Event

1×	iter limit
1×	saturated
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) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 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)
(-.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)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(-.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)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) 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)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #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(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) #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)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/.f64 #s(literal 1/2 binary64) x)
x
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))))))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1/4 binary64)

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

localize531.0ms (5.7%)

Memory

13.4MiB live, 592.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
accuracy	15.097551471276951	(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))
accuracy	15.856439615677555	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))))))
accuracy	0.08203125	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
accuracy	0.109375	(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
accuracy	15.856439615677555	(-.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)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))))))
accuracy	33.588221803604604	#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))
accuracy	0.0	(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
accuracy	0.0078125	(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))))
accuracy	15.856439615677555	(-.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)))))
accuracy	32.049934794124844	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
accuracy	0.0078125	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
accuracy	15.856439615677555	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
accuracy	28.123495823124696	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
accuracy	0.0078125	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
accuracy	14.676540866095609	(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
accuracy	15.856439615677555	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))

Samples

386.0ms	84×	2	valid
44.0ms	49×	1	valid
31.0ms	123×	0	valid

Compiler

Compiled 392 to 32 computations (91.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 430.0ms

ival-pow: 342.0ms (79.5% of total)

ival-div: 19.0ms (4.4% of total)

ival-add: 15.0ms (3.5% of total)

adjust: 14.0ms (3.3% of total)

ival-sqrt: 11.0ms (2.6% of total)

ival-hypot: 10.0ms (2.3% of total)

ival-mult: 10.0ms (2.3% of total)

ival-sub: 8.0ms (1.9% of total)

exact: 1.0ms (0.2% of total)

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

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

series11.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

25 → 81

Calls

Call 1

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

Outputs
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 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)))
(- (+ 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)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (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))))))
(+ (* (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))))))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 x)) x)
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(/ 1/2 (pow x 2))
(/ -1/2 (pow x 3))
(/ (- (pow x 2) 1/2) (pow x 3))
(+ 1 (* 1/4 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/4 (* -3/32 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 7/128 (pow x 2)) 3/32)))))
(+ 1 (* (pow x 2) (- (* 5/32 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -15/128 (pow x 2)))) 1/4)))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(- (+ 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)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(+ (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)))))
(+ 1 (/ 1 x))
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)
(sqrt x)
(+ (sqrt x) (* 1/4 (sqrt (/ 1 (pow x 3)))))
(+ (sqrt x) (+ (* -3/32 (sqrt (/ 1 (pow x 7)))) (* 1/4 (sqrt (/ 1 (pow x 3))))))
(+ (sqrt x) (+ (* -3/32 (sqrt (/ 1 (pow x 7)))) (+ (* 7/128 (sqrt (/ 1 (pow x 11)))) (* 1/4 (sqrt (/ 1 (pow x 3)))))))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/4 (sqrt (/ 1 (pow x 5)))))
(+ (sqrt (/ 1 x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 5/32 (sqrt (/ 1 (pow x 9))))))
(+ (sqrt (/ 1 x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* -15/128 (sqrt (/ 1 (pow x 13)))) (* 5/32 (sqrt (/ 1 (pow x 9)))))))
(- 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
(/ -1 x)
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))
(* -1 (/ (- (* 1/2 (/ 1 (pow x 2))) 1) x))
(* (sqrt x) (sqrt -1))
(+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1)))
(+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1))))
(+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 7/128 (* (sqrt (/ 1 (pow x 11))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1)))))
(* (sqrt (/ 1 x)) (sqrt -1))
(+ (* -1/4 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))
(+ (* -1/4 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 5/32 (* (sqrt (/ 1 (pow x 9))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))
(+ (* -1/4 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -15/128 (* (sqrt (/ 1 (pow x 13))) (sqrt -1))) (+ (* 5/32 (* (sqrt (/ 1 (pow x 9))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (+ 1 (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)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (* 1/2 (+ 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 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)) (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (- 1 (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))))) (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4))))) (pow (+ (* x x) 1) -1/2) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/ (/ 1/2 x) x) (/ (- 1 (/ (/ 1/2 x) x)) x) (pow (+ (* x x) 1) 1/4) (/ 1 (pow (+ (* x x) 1) 1/4)))
3.0ms	x	@	inf	((* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (+ 1 (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)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (* 1/2 (+ 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 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)) (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (- 1 (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))))) (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4))))) (pow (+ (* x x) 1) -1/2) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/ (/ 1/2 x) x) (/ (- 1 (/ (/ 1/2 x) x)) x) (pow (+ (* x x) 1) 1/4) (/ 1 (pow (+ (* x x) 1) 1/4)))
2.0ms	x	@	-inf	((* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (+ 1 (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)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (* 1/2 (+ 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 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)) (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (- 1 (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))))) (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4))))) (pow (+ (* x x) 1) -1/2) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/ (/ 1/2 x) x) (/ (- 1 (/ (/ 1/2 x) x)) x) (pow (+ (* x x) 1) 1/4) (/ 1 (pow (+ (* x x) 1) 1/4)))

Time

Variable

Point

Expression

3.0ms

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

3.0ms

inf

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

2.0ms

-inf

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

simplify177.0ms (1.9%)

Memory

0.5MiB live, 160.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	307	1281
1	880	1179
2	2715	1110
0	8752	1040

Stop Event

1×	iter limit
1×	node limit

Counts

81 → 81

Calls

Call 1

Inputs
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 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)))
(- (+ 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)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (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))))))
(+ (* (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))))))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 x)) x)
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(/ 1/2 (pow x 2))
(/ -1/2 (pow x 3))
(/ (- (pow x 2) 1/2) (pow x 3))
(+ 1 (* 1/4 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/4 (* -3/32 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 7/128 (pow x 2)) 3/32)))))
(+ 1 (* (pow x 2) (- (* 5/32 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -15/128 (pow x 2)))) 1/4)))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(- (+ 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)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(+ (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)))))
(+ 1 (/ 1 x))
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)
(sqrt x)
(+ (sqrt x) (* 1/4 (sqrt (/ 1 (pow x 3)))))
(+ (sqrt x) (+ (* -3/32 (sqrt (/ 1 (pow x 7)))) (* 1/4 (sqrt (/ 1 (pow x 3))))))
(+ (sqrt x) (+ (* -3/32 (sqrt (/ 1 (pow x 7)))) (+ (* 7/128 (sqrt (/ 1 (pow x 11)))) (* 1/4 (sqrt (/ 1 (pow x 3)))))))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/4 (sqrt (/ 1 (pow x 5)))))
(+ (sqrt (/ 1 x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 5/32 (sqrt (/ 1 (pow x 9))))))
(+ (sqrt (/ 1 x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* -15/128 (sqrt (/ 1 (pow x 13)))) (* 5/32 (sqrt (/ 1 (pow x 9)))))))
(- 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
(/ -1 x)
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))
(* -1 (/ (- (* 1/2 (/ 1 (pow x 2))) 1) x))
(* (sqrt x) (sqrt -1))
(+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1)))
(+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1))))
(+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 7/128 (* (sqrt (/ 1 (pow x 11))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1)))))
(* (sqrt (/ 1 x)) (sqrt -1))
(+ (* -1/4 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))
(+ (* -1/4 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 5/32 (* (sqrt (/ 1 (pow x 9))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))
(+ (* -1/4 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -15/128 (* (sqrt (/ 1 (pow x 13))) (sqrt -1))) (+ (* 5/32 (* (sqrt (/ 1 (pow x 9))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/32 binary64) (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64))) (*.f64 x x) #s(literal 1 binary64))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 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)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 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)))
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (.f64 x x) #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)))))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(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))))
(+ (* (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))))))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) #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))))
(+ (* (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))))))))
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (.f64 x x) #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))))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/16 binary64) (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/16 binary64) (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(/ 1/2 (pow x 2))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/ -1/2 (pow x 3))
(/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (- (pow x 2) 1/2) (pow x 3))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
(+ 1 (* 1/4 (pow x 2)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/4 (* -3/32 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -3/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 7/128 (pow x 2)) 3/32)))))
(fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 3/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/32 (pow x 2)) 1/4)))
(fma.f64 (-.f64 (.f64 #s(literal 5/32 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -15/128 (pow x 2)))) 1/4)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -15/128 binary64) (-.f64 (.f64 #s(literal 5/32 binary64) (.f64 x x)) #s(literal 1/4 binary64))) (*.f64 x x) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(-.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))))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))))
(- 1 (sqrt 1/2))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(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))))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 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)))))
(-.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)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 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)))))
(fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ 1 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* 1/4 (sqrt (/ 1 (pow x 3)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))
(+ (sqrt x) (+ (* -3/32 (sqrt (/ 1 (pow x 7)))) (* 1/4 (sqrt (/ 1 (pow x 3))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -3/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x)))
(+ (sqrt x) (+ (* -3/32 (sqrt (/ 1 (pow x 7)))) (+ (* 7/128 (sqrt (/ 1 (pow x 11)))) (* 1/4 (sqrt (/ 1 (pow x 3)))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) #s(literal 7/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -3/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (sqrt (/ 1 x)) (* -1/4 (sqrt (/ 1 (pow x 5)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (sqrt (/ 1 x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 5/32 (sqrt (/ 1 (pow x 9))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) #s(literal 5/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (sqrt (/ 1 x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* -15/128 (sqrt (/ 1 (pow x 13)))) (* 5/32 (sqrt (/ 1 (pow x 9)))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64)))) #s(literal -15/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) #s(literal 5/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(- 1/2 (* 1/2 (/ 1 x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(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))))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 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))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/16 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -3/16 binary64) x) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x))
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 x))
(* -1 (/ (- (* 1/2 (/ 1 (pow x 2))) 1) x))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) (neg.f64 x))
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x)))
(+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -3/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))))
(+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 7/128 (* (sqrt (/ 1 (pow x 11))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1)))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) #s(literal 7/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -3/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x)))))
(* (sqrt (/ 1 x)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/4 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1/4 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 5/32 (* (sqrt (/ 1 (pow x 9))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) #s(literal 5/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+ (* -1/4 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -15/128 (* (sqrt (/ 1 (pow x 13))) (sqrt -1))) (+ (* 5/32 (* (sqrt (/ 1 (pow x 9))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64)))) #s(literal -15/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) #s(literal 5/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))

rewrite214.0ms (2.3%)

Memory

-15.1MiB live, 187.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	369
0	67	276
1	290	249
2	2223	245
0	8542	230

Stop Event

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

Counts

25 → 631

Calls

Call 1

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

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

eval83.0ms (0.9%)

Memory: 29.1MiB live, 182.7MiB allocated
Compiler: Compiled 18 263 to 2 923 computations (84% saved)

prune31.0ms (0.3%)

Memory

-21.9MiB live, 93.1MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	567	15	582
Fresh	5	4	9
Picked	2	3	5
Done	0	0	0
Total	574	22	596

Accuracy

76.7%

Counts

596 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.0%	(/.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)))
	76.0%	(/.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)))
	47.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))))
	47.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (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))))))
	48.6%	(/.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)))
	28.1%	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
▶	47.2%	(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
	47.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (+.f64 #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(literal 1 binary64)) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
	2.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cosh.f64 (asinh.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)))) (cosh.f64 (asinh.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (-.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (-.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))))))))
✓	75.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
	75.3%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (cos.f64 (atan.f64 x))) #s(literal 2 binary64))))))
▶	48.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))))))))
	73.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))))
	46.4%	(-.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)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))))))
	28.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
	28.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
▶	29.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))))
✓	47.4%	(-.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)))))
✓	47.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	2.2%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) #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))))))
▶	3.6%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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))))))
	28.1%	(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (fma.f64 (cosh.f64 (atanh.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 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))

Compiler

Compiled 1 403 to 744 computations (47% saved)

simplify189.0ms (2%)

Memory

-2.3MiB live, 248.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ (* x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x)))))
cost-diff	0	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x)))))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))))))))
cost-diff	2	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))))))
cost-diff	0	(fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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))))
cost-diff	0	#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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)))))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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))))))
cost-diff	3	(fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #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	(sqrt.f64 (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) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
cost-diff	5	(.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
cost-diff	0	#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 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	66	644
0	112	601
1	205	579
2	437	567
3	1258	567
4	4774	567
0	8363	556

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 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
#s(literal 1 binary64)
(.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(sqrt.f64 (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))
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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(literal 1 binary64)
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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)))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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))))
(/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64)))
(fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
(*.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal -69/512 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 11/64 binary64)
(*.f64 x x)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))))))))
#s(literal 1 binary64)
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ (* x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ (* x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1/4 binary64)
#s(approx (pow (+ (* x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)

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 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (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 1/2 binary64))))
#s(literal 1 binary64)
(.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (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)))
(sqrt.f64 (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))
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x) (fma.f64 (.f64 #s(literal -69/512 binary64) x) x #s(literal 11/64 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(literal 1 binary64)
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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))))))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x) (fma.f64 (.f64 #s(literal -69/512 binary64) x) x #s(literal 11/64 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)))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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))))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x) (fma.f64 (.f64 #s(literal -69/512 binary64) x) x #s(literal 11/64 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))))
(/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x) (fma.f64 (.f64 #s(literal -69/512 binary64) x) x #s(literal 11/64 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64)))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x) (fma.f64 (.f64 #s(literal -69/512 binary64) x) x #s(literal 11/64 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (fma.f64 (.f64 #s(literal -69/512 binary64) x) x #s(literal 11/64 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x)
(*.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64))
#s(literal -69/512 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 11/64 binary64)
(*.f64 x x)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal -1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ (* x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x)))))))
#s(literal 1 binary64)
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x)))))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ (* x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ (* x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x)))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ (* x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x)))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ (* x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x)))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ (* x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1/4 binary64)
#s(approx (pow (+ (* x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)

localize764.0ms (8.2%)

Memory

42.6MiB live, 820.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	15.097551471276951	(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))
accuracy	15.856439615677555	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))))))))
accuracy	17.010732472211867	(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
accuracy	32.193182572642776	#s(approx (pow (+ (* x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x)))
accuracy	1.0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	1.0	(*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	15.856439615677555	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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))))))
accuracy	30.357930512922653	#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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)))))
accuracy	0.46484375	(sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
accuracy	0.46875	(.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
accuracy	15.856439615677555	(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
accuracy	28.123495823124696	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
accuracy	0.0078125	(sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64)))
accuracy	15.856439615677555	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))))
accuracy	25.060660174178285	#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))
accuracy	0.015625	(+.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	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	15.380345653409314	(-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	27.7071487302721	(cos.f64 (atan.f64 x))

Samples

525.0ms	128×	2	valid
178.0ms	119×	1	valid
4.0ms	9×	0	valid

Compiler

Compiled 544 to 63 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 646.0ms

ival-pow: 381.0ms (59% of total)

ival-mult: 72.0ms (11.2% of total)

adjust: 43.0ms (6.7% of total)

ival-add: 39.0ms (6% of total)

ival-sqrt: 32.0ms (5% of total)

ival-cos: 28.0ms (4.3% of total)

ival-div: 20.0ms (3.1% of total)

ival-sub: 13.0ms (2% of total)

ival-hypot: 10.0ms (1.5% of total)

ival-atan: 6.0ms (0.9% of total)

exact: 1.0ms (0.2% of total)

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

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

series22.0ms (0.2%)

Memory

2.7MiB live, 40.1MiB allocated

Counts

26 → 82

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 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
(sqrt.f64 (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)))
(fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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)))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ (* x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 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))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
(*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (pow (+ (* x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))

Outputs
(- 1/2 (* 1/2 (cos (atan x))))
(/ (- 1/2 (* 1/2 (cos (atan x)))) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))
(+ 1/2 (* 1/2 (cos (atan x))))
(cos (atan x))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 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)))
(- (+ 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)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (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))))))
(+ (* (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))))))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(* (pow 2 1/4) (sqrt (sqrt 1/2)))
(+ (* -1/16 (* (pow 2 1/4) (* (pow x 2) (sqrt (sqrt 1/2))))) (* (pow 2 1/4) (sqrt (sqrt 1/2))))
(+ (* (pow 2 1/4) (sqrt (sqrt 1/2))) (* (pow x 2) (+ (* -1/16 (* (pow 2 1/4) (sqrt (sqrt 1/2)))) (* 21/512 (* (pow 2 1/4) (* (pow x 2) (sqrt (sqrt 1/2))))))))
(+ (* (pow 2 1/4) (sqrt (sqrt 1/2))) (* (pow x 2) (+ (* -1/16 (* (pow 2 1/4) (sqrt (sqrt 1/2)))) (* (pow x 2) (+ (* -255/8192 (* (pow 2 1/4) (* (pow x 2) (sqrt (sqrt 1/2))))) (* 21/512 (* (pow 2 1/4) (sqrt (sqrt 1/2)))))))))
(* 11/64 (sqrt 1/2))
(+ (* -69/512 (* (pow x 2) (sqrt 1/2))) (* 11/64 (sqrt 1/2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 11/64 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -69/512 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))
(+ 1 (* 1/4 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/4 (* -3/32 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 7/128 (pow x 2)) 3/32)))))
(sqrt (/ 1 (pow x 3)))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(- (+ 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)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(+ (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)))))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(sqrt (sqrt 1/2))
(+ (sqrt (sqrt 1/2)) (* 1/4 (* (/ 1 x) (sqrt (sqrt 1/2)))))
(+ (sqrt (sqrt 1/2)) (+ (* -3/32 (* (/ 1 (pow x 2)) (sqrt (sqrt 1/2)))) (* 1/4 (* (/ 1 x) (sqrt (sqrt 1/2))))))
(+ (sqrt (sqrt 1/2)) (+ (* -3/32 (* (/ 1 (pow x 2)) (sqrt (sqrt 1/2)))) (+ (* -9/128 (* (/ 1 (pow x 3)) (sqrt (sqrt 1/2)))) (* 1/4 (* (/ 1 x) (sqrt (sqrt 1/2)))))))
(* -69/512 (* (pow x 2) (sqrt 1/2)))
(* (pow x 2) (+ (* -69/512 (sqrt 1/2)) (* 11/64 (/ (sqrt 1/2) (pow x 2)))))
(* -69/512 (/ (* (pow x 6) (sqrt 1/2)) (sqrt 2)))
(* (pow x 6) (+ (* -69/512 (/ (sqrt 1/2) (sqrt 2))) (* 11/64 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2))))))
(* (pow x 6) (+ (* -1/4 (/ (sqrt 1/2) (* (pow x 4) (sqrt 2)))) (+ (* -69/512 (/ (sqrt 1/2) (sqrt 2))) (* 11/64 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))))))
(* (pow x 6) (+ (* -1/4 (/ (sqrt 1/2) (* (pow x 4) (sqrt 2)))) (+ (* -69/512 (/ (sqrt 1/2) (sqrt 2))) (+ (* 11/64 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) (pow x 6))))))
(+ 1 (/ 1 x))
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))
(sqrt x)
(+ (sqrt x) (* 1/4 (sqrt (/ 1 (pow x 3)))))
(+ (sqrt x) (+ (* -3/32 (sqrt (/ 1 (pow x 7)))) (* 1/4 (sqrt (/ 1 (pow x 3))))))
(+ (sqrt x) (+ (* -3/32 (sqrt (/ 1 (pow x 7)))) (+ (* 7/128 (sqrt (/ 1 (pow x 11)))) (* 1/4 (sqrt (/ 1 (pow x 3)))))))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(- 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(+ (sqrt (sqrt 1/2)) (* -1/4 (* (/ 1 x) (sqrt (sqrt 1/2)))))
(+ (sqrt (sqrt 1/2)) (* -1 (/ (+ (* 3/32 (* (/ 1 x) (sqrt (sqrt 1/2)))) (* 1/4 (sqrt (sqrt 1/2)))) x)))
(+ (sqrt (sqrt 1/2)) (* -1 (/ (+ (* -1 (/ (+ (* -3/32 (sqrt (sqrt 1/2))) (* 9/128 (* (/ 1 x) (sqrt (sqrt 1/2))))) x)) (* 1/4 (sqrt (sqrt 1/2)))) x)))
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
(* (sqrt x) (sqrt -1))
(+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1)))
(+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1))))
(+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 7/128 (* (sqrt (/ 1 (pow x 11))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1)))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

9.0ms

((- 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 (pow (+ (* x x) 1) -1/2))))) (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (* (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (- 1 (* (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* -69/512 (sqrt 1/2)) x) x) (* 11/64 (sqrt 1/2))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (/ (+ (* (+ (* (* (* -69/512 (sqrt 1/2)) x) x) (* 11/64 (sqrt 1/2))) (* x x)) (* (sqrt 1/2) -1/4)) (sqrt 2)) (* x x)) (* (sqrt 2) (sqrt 1/2))) (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (- 1 (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))))) (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4))))) (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4))) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 11/64 (sqrt 1/2)) (* (sqrt 2) (sqrt 1/2)) (pow (+ (* x x) 1) 1/4) (sqrt (/ 1 (pow x 3))) (pow (+ (* x x) 1) 1/4))

6.0ms

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 (pow (+ (* x x) 1) -1/2))))) (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (* (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (- 1 (* (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* -69/512 (sqrt 1/2)) x) x) (* 11/64 (sqrt 1/2))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (/ (+ (* (+ (* (* (* -69/512 (sqrt 1/2)) x) x) (* 11/64 (sqrt 1/2))) (* x x)) (* (sqrt 1/2) -1/4)) (sqrt 2)) (* x x)) (* (sqrt 2) (sqrt 1/2))) (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (- 1 (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))))) (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4))))) (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4))) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 11/64 (sqrt 1/2)) (* (sqrt 2) (sqrt 1/2)) (pow (+ (* x x) 1) 1/4) (sqrt (/ 1 (pow x 3))) (pow (+ (* x x) 1) 1/4))

4.0ms

-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 (pow (+ (* x x) 1) -1/2))))) (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (* (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))) (- 1 (* (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))))) (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* (* -69/512 (sqrt 1/2)) x) x) (* 11/64 (sqrt 1/2))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (/ (+ (* (+ (* (* (* -69/512 (sqrt 1/2)) x) x) (* 11/64 (sqrt 1/2))) (* x x)) (* (sqrt 1/2) -1/4)) (sqrt 2)) (* x x)) (* (sqrt 2) (sqrt 1/2))) (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (- 1 (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))))) (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4))))) (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4))) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (* 11/64 (sqrt 1/2)) (* (sqrt 2) (sqrt 1/2)) (pow (+ (* x x) 1) 1/4) (sqrt (/ 1 (pow x 3))) (pow (+ (* x x) 1) 1/4))

simplify333.0ms (3.6%)

Memory

-119.5MiB live, 277.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	346	1448
1	1086	1295
2	3811	1181
0	8362	1111

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 82

Calls

Call 1

Inputs
(- 1/2 (* 1/2 (cos (atan x))))
(/ (- 1/2 (* 1/2 (cos (atan x)))) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))
(+ 1/2 (* 1/2 (cos (atan x))))
(cos (atan x))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 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)))
(- (+ 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)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (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))))))
(+ (* (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))))))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(* (pow 2 1/4) (sqrt (sqrt 1/2)))
(+ (* -1/16 (* (pow 2 1/4) (* (pow x 2) (sqrt (sqrt 1/2))))) (* (pow 2 1/4) (sqrt (sqrt 1/2))))
(+ (* (pow 2 1/4) (sqrt (sqrt 1/2))) (* (pow x 2) (+ (* -1/16 (* (pow 2 1/4) (sqrt (sqrt 1/2)))) (* 21/512 (* (pow 2 1/4) (* (pow x 2) (sqrt (sqrt 1/2))))))))
(+ (* (pow 2 1/4) (sqrt (sqrt 1/2))) (* (pow x 2) (+ (* -1/16 (* (pow 2 1/4) (sqrt (sqrt 1/2)))) (* (pow x 2) (+ (* -255/8192 (* (pow 2 1/4) (* (pow x 2) (sqrt (sqrt 1/2))))) (* 21/512 (* (pow 2 1/4) (sqrt (sqrt 1/2)))))))))
(* 11/64 (sqrt 1/2))
(+ (* -69/512 (* (pow x 2) (sqrt 1/2))) (* 11/64 (sqrt 1/2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 11/64 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -69/512 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))
(+ 1 (* 1/4 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/4 (* -3/32 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 7/128 (pow x 2)) 3/32)))))
(sqrt (/ 1 (pow x 3)))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(- (+ 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)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(+ (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)))))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(sqrt (sqrt 1/2))
(+ (sqrt (sqrt 1/2)) (* 1/4 (* (/ 1 x) (sqrt (sqrt 1/2)))))
(+ (sqrt (sqrt 1/2)) (+ (* -3/32 (* (/ 1 (pow x 2)) (sqrt (sqrt 1/2)))) (* 1/4 (* (/ 1 x) (sqrt (sqrt 1/2))))))
(+ (sqrt (sqrt 1/2)) (+ (* -3/32 (* (/ 1 (pow x 2)) (sqrt (sqrt 1/2)))) (+ (* -9/128 (* (/ 1 (pow x 3)) (sqrt (sqrt 1/2)))) (* 1/4 (* (/ 1 x) (sqrt (sqrt 1/2)))))))
(* -69/512 (* (pow x 2) (sqrt 1/2)))
(* (pow x 2) (+ (* -69/512 (sqrt 1/2)) (* 11/64 (/ (sqrt 1/2) (pow x 2)))))
(* -69/512 (/ (* (pow x 6) (sqrt 1/2)) (sqrt 2)))
(* (pow x 6) (+ (* -69/512 (/ (sqrt 1/2) (sqrt 2))) (* 11/64 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2))))))
(* (pow x 6) (+ (* -1/4 (/ (sqrt 1/2) (* (pow x 4) (sqrt 2)))) (+ (* -69/512 (/ (sqrt 1/2) (sqrt 2))) (* 11/64 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))))))
(* (pow x 6) (+ (* -1/4 (/ (sqrt 1/2) (* (pow x 4) (sqrt 2)))) (+ (* -69/512 (/ (sqrt 1/2) (sqrt 2))) (+ (* 11/64 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) (pow x 6))))))
(+ 1 (/ 1 x))
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))
(sqrt x)
(+ (sqrt x) (* 1/4 (sqrt (/ 1 (pow x 3)))))
(+ (sqrt x) (+ (* -3/32 (sqrt (/ 1 (pow x 7)))) (* 1/4 (sqrt (/ 1 (pow x 3))))))
(+ (sqrt x) (+ (* -3/32 (sqrt (/ 1 (pow x 7)))) (+ (* 7/128 (sqrt (/ 1 (pow x 11)))) (* 1/4 (sqrt (/ 1 (pow x 3)))))))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(- 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(+ (sqrt (sqrt 1/2)) (* -1/4 (* (/ 1 x) (sqrt (sqrt 1/2)))))
(+ (sqrt (sqrt 1/2)) (* -1 (/ (+ (* 3/32 (* (/ 1 x) (sqrt (sqrt 1/2)))) (* 1/4 (sqrt (sqrt 1/2)))) x)))
(+ (sqrt (sqrt 1/2)) (* -1 (/ (+ (* -1 (/ (+ (* -3/32 (sqrt (sqrt 1/2))) (* 9/128 (* (/ 1 x) (sqrt (sqrt 1/2))))) x)) (* 1/4 (sqrt (sqrt 1/2)))) x)))
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
(* (sqrt x) (sqrt -1))
(+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1)))
(+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1))))
(+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 7/128 (* (sqrt (/ 1 (pow x 11))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1)))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))

Outputs
(- 1/2 (* 1/2 (cos (atan x))))
(fma.f64 (cos.f64 (atan.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/ (- 1/2 (* 1/2 (cos (atan x)))) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))
(/.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)))
(+ 1/2 (* 1/2 (cos (atan x))))
(fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos (atan x))
(cos.f64 (atan.f64 x))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 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)))
(-.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 x x) #s(literal 11/64 binary64) #s(literal -1/4 binary64))) (.f64 x x) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 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)))
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x)) (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 11/64 binary64) (.f64 x x) #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)))))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(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))))
(+ (* (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))))))
(fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 x x) #s(literal 11/64 binary64) #s(literal -1/4 binary64))) (.f64 x x) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 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))))))))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x)) (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 11/64 binary64) (.f64 x x) #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))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) x) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(* (pow 2 1/4) (sqrt (sqrt 1/2)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(+ (* -1/16 (* (pow 2 1/4) (* (pow x 2) (sqrt (sqrt 1/2))))) (* (pow 2 1/4) (sqrt (sqrt 1/2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(+ (* (pow 2 1/4) (sqrt (sqrt 1/2))) (* (pow x 2) (+ (* -1/16 (* (pow 2 1/4) (sqrt (sqrt 1/2)))) (* 21/512 (* (pow 2 1/4) (* (pow x 2) (sqrt (sqrt 1/2))))))))
(fma.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (fma.f64 (.f64 x x) #s(literal 21/512 binary64) #s(literal -1/16 binary64))) (.f64 x x) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(+ (* (pow 2 1/4) (sqrt (sqrt 1/2))) (* (pow x 2) (+ (* -1/16 (* (pow 2 1/4) (sqrt (sqrt 1/2)))) (* (pow x 2) (+ (* -255/8192 (* (pow 2 1/4) (* (pow x 2) (sqrt (sqrt 1/2))))) (* 21/512 (* (pow 2 1/4) (sqrt (sqrt 1/2)))))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (fma.f64 (.f64 x x) #s(literal -255/8192 binary64) #s(literal 21/512 binary64))) (*.f64 x x)))
(* 11/64 (sqrt 1/2))
(*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* -69/512 (* (pow x 2) (sqrt 1/2))) (* 11/64 (sqrt 1/2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -69/512 binary64) (.f64 x x) #s(literal 11/64 binary64)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 11/64 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))))))
(fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 x x) #s(literal 11/64 binary64) #s(literal -1/4 binary64))) (.f64 x x) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -69/512 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -69/512 binary64) (.f64 x x) #s(literal 11/64 binary64))) (.f64 x x) (/.f64 (.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))))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -5/16 binary64) (.f64 x x) #s(literal 3/8 binary64)) x) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan 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))
(+ 1 (* 1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/4 (* -3/32 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -3/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 7/128 (pow x 2)) 3/32)))))
(fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 3/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(- 1 (sqrt 1/2))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(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))))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 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)))))
(-.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)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 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)))))
(fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(-.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))))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt (sqrt 1/2))
(sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt (sqrt 1/2)) (* 1/4 (* (/ 1 x) (sqrt (sqrt 1/2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(+ (sqrt (sqrt 1/2)) (+ (* -3/32 (* (/ 1 (pow x 2)) (sqrt (sqrt 1/2)))) (* 1/4 (* (/ 1 x) (sqrt (sqrt 1/2))))))
(fma.f64 (/.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) x) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3/32 binary64) x)) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(+ (sqrt (sqrt 1/2)) (+ (* -3/32 (* (/ 1 (pow x 2)) (sqrt (sqrt 1/2)))) (+ (* -9/128 (* (/ 1 (pow x 3)) (sqrt (sqrt 1/2)))) (* 1/4 (* (/ 1 x) (sqrt (sqrt 1/2)))))))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (+.f64 (/.f64 #s(literal -3/32 binary64) (*.f64 x x)) (/.f64 #s(literal -9/128 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/4 binary64) x)) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(* -69/512 (* (pow x 2) (sqrt 1/2)))
(.f64 (.f64 (*.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)
(* (pow x 2) (+ (* -69/512 (sqrt 1/2)) (* 11/64 (/ (sqrt 1/2) (pow x 2)))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 11/64 binary64) (.f64 x x)) #s(literal -69/512 binary64))) x) x)
(* -69/512 (/ (* (pow x 6) (sqrt 1/2)) (sqrt 2)))
(.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -69/512 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow x 6) (+ (* -69/512 (/ (sqrt 1/2) (sqrt 2))) (* 11/64 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2))))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 11/64 binary64) (*.f64 x x)) #s(literal 69/512 binary64))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ (* -1/4 (/ (sqrt 1/2) (* (pow x 4) (sqrt 2)))) (+ (* -69/512 (/ (sqrt 1/2) (sqrt 2))) (* 11/64 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))))))
(.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 11/64 binary64) (.f64 x x)) #s(literal 69/512 binary64)) (/.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ (* -1/4 (/ (sqrt 1/2) (* (pow x 4) (sqrt 2)))) (+ (* -69/512 (/ (sqrt 1/2) (sqrt 2))) (+ (* 11/64 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) (pow x 6))))))
(.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 69/512 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 11/64 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x))))) (pow.f64 x #s(literal 6 binary64)))
(+ 1 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* 1/4 (sqrt (/ 1 (pow x 3)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))
(+ (sqrt x) (+ (* -3/32 (sqrt (/ 1 (pow x 7)))) (* 1/4 (sqrt (/ 1 (pow x 3))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -3/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x)))
(+ (sqrt x) (+ (* -3/32 (sqrt (/ 1 (pow x 7)))) (+ (* 7/128 (sqrt (/ 1 (pow x 11)))) (* 1/4 (sqrt (/ 1 (pow x 3)))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -3/32 binary64) (sqrt.f64 x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) #s(literal 7/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64))))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(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))))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 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))
(+.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -3/16 binary64) x) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -3/16 binary64) x) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x))
(- 1/2 (* 1/2 (/ 1 x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) 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))
(+ (sqrt (sqrt 1/2)) (* -1/4 (* (/ 1 x) (sqrt (sqrt 1/2)))))
(*.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(+ (sqrt (sqrt 1/2)) (* -1 (/ (+ (* 3/32 (* (/ 1 x) (sqrt (sqrt 1/2)))) (* 1/4 (sqrt (sqrt 1/2)))) x)))
(-.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/32 binary64) x))) x))
(+ (sqrt (sqrt 1/2)) (* -1 (/ (+ (* -1 (/ (+ (* -3/32 (sqrt (sqrt 1/2))) (* 9/128 (* (/ 1 x) (sqrt (sqrt 1/2))))) x)) (* 1/4 (sqrt (sqrt 1/2)))) x)))
(-.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 9/128 binary64) x) #s(literal 3/32 binary64))) (neg.f64 x))) x))
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) 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))
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x)))
(+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -3/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))))
(+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 7/128 (* (sqrt (/ 1 (pow x 11))) (sqrt -1))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1)))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -3/32 binary64) (sqrt.f64 x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) #s(literal 7/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64)))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))

rewrite208.0ms (2.2%)

Memory

-4.0MiB live, 231.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	495
0	112	381
1	441	353
2	3190	349
0	8179	346

Stop Event

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

Counts

26 → 602

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 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
(sqrt.f64 (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)))
(fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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)))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ (* x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 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))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
(*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (pow (+ (* x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))

Outputs
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))))
(/.f64 (neg.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 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #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 2 binary64))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 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 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal -1 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 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))))
(-.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (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)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (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 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #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 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #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 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) (+.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 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 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 (-.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)) (pow.f64 (/.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))) #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 -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 (-.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 #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 #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))) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.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))) #s(literal 3 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 (pow.f64 (/.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))) #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 -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 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))))) (neg.f64 (neg.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)))))
(/.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))) #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))) #s(literal 1 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))) #s(literal 1 binary64)) #s(literal 2 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 2 binary64))) (.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) (+.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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (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 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))) (neg.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))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) (neg.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)))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) (+.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 1/2 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 (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 -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) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.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 (sqrt.f64 (.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)))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (sqrt.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 (pow.f64 (.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))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.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 (neg.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 (pow.f64 (fabs.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 (fabs.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 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (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) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 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))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))
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(fma.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 binary64) (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 (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))) (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 -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))))
(+.f64 (/.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)) (-.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 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))))) (pow.f64 (-.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 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)))) #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))
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(.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 #s(approx ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))))
(.f64 (pow.f64 #s(approx ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) (neg.f64 (pow.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(approx ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) (pow.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (neg.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)))))
(.f64 (neg.f64 (pow.f64 #s(approx ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))
(.f64 #s(approx ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 #s(approx ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))
(.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))))
(.f64 #s(literal 1 binary64) #s(approx ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)))
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(pow.f64 (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (pow.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 4 binary64))
(pow.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))
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(exp.f64 (.f64 (log.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 #s(approx ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx ( 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 11/64 binary64))
#s(literal 1 binary64)
#s(approx (pow (+ (* x x) 1) 1/4) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/4 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal -3/2 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -3 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -3/4 binary64))
(pow.f64 x #s(literal -3/2 binary64))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) x)
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
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(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(exp.f64 (neg.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (/.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64))) (fabs.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log1p.f64 (*.f64 x x)))
(pow.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))
(exp.f64 (fma.f64 (log1p.f64 (.f64 x x)) #s(literal 1/8 binary64) (.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/8 binary64))))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1/4 binary64)))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1/4 binary64))))

eval147.0ms (1.6%)

Memory: 10.4MiB live, 245.8MiB allocated
Compiler: Compiled 32 518 to 3 759 computations (88.4% saved)

prune41.0ms (0.4%)

Memory

10.6MiB live, 85.9MiB allocated

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	854	12	866
Fresh	3	11	14
Picked	3	2	5
Done	0	3	3
Total	860	28	888

Accuracy

76.7%

Counts

888 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.0%	(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.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)))
	76.0%	(/.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)))
	47.6%	(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (/.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))) (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 -1 binary64))))
	76.0%	(/.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)))
▶	47.2%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))))
▶	76.0%	(/.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 3 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (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))))
	47.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (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 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.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(literal 2 binary64))) (+.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.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(literal 1 binary64)))
	48.6%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	28.1%	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
▶	75.3%	(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (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)))
✓	47.2%	(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
	11.5%	(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) #s(approx (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
	47.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (+.f64 #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(literal 1 binary64)) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
	2.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cosh.f64 (asinh.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)))) (cosh.f64 (asinh.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (-.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (-.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))))))))
✓	75.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
	75.3%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (cos.f64 (atan.f64 x))) #s(literal 2 binary64))))))
	46.4%	(-.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)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))))))
	28.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) x) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
	28.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
▶	28.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
✓	29.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))))
✓	47.4%	(-.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)))))
✓	47.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	29.9%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
	3.6%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 #s(approx (+ (* (* (* -69/512 (sqrt 1/2)) x) x) (* 11/64 (sqrt 1/2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -69/512 binary64) (.f64 x x) #s(literal 11/64 binary64)))) (.f64 x x) (.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))))))
	28.1%	(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (fma.f64 (cosh.f64 (atanh.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 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
	47.2%	(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #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)))

Compiler

Compiled 1 906 to 982 computations (48.5% saved)

simplify161.0ms (1.7%)

Memory

-18.4MiB live, 196.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	#s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (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	0	(pow.f64 (fma.f64 #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(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 #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(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 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))))
cost-diff	2	(+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
cost-diff	3	(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 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 (pow (+ (* x x) 1) -1/2))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (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 (pow (+ (* x x) 1) -1/2))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
cost-diff	0	(-.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)))
cost-diff	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 3 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (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))))
cost-diff	1	(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))
cost-diff	1	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	761
0	128	761
1	247	750
2	609	738
3	2623	738
0	8378	703

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 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (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) (pow.f64 (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)
(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 #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 3 binary64)
(.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64))
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))
#s(literal 3/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))
(+.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 #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 (pow (+ (* x x) 1) -1/2))) (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 (pow (+ (* x x) 1) -1/2))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (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) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal -69/512 binary64)
x
(*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 11/64 binary64)
(*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal -1/4 binary64)
(/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 3/2 binary64)
(+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (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 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (cos.f64 (atan.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (atan.f64 x))
(atan.f64 x)
x
#s(literal -1/2 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))
#s(literal 1 binary64)

Outputs
(/.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 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (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 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 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 (fma.f64 #s(literal 1/4 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/4 binary64)) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 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 #s(literal -1/8 binary64) (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 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 3 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 #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))
#s(literal 1/2 binary64)
(cos.f64 (atan.f64 x))
(atan.f64 x)
x
#s(literal 3 binary64)
(.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (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 (+.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 (fma.f64 #s(literal 1/4 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/4 binary64)) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/4 binary64)) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))
(fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))
(*.f64 (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 (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 #s(literal 1/2 binary64) (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 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (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 (pow (+ (* x x) 1) -1/2))) (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 (pow (+ (* x x) 1) -1/2))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (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) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (fma.f64 (.f64 #s(literal -69/512 binary64) x) x #s(literal 11/64 binary64))) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (fma.f64 (.f64 #s(literal -69/512 binary64) x) x #s(literal 11/64 binary64))) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (fma.f64 (.f64 #s(literal -69/512 binary64) x) x #s(literal 11/64 binary64))) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (fma.f64 (.f64 #s(literal -69/512 binary64) x) x #s(literal 11/64 binary64))) x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64)))
(.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (fma.f64 (*.f64 #s(literal -69/512 binary64) x) x #s(literal 11/64 binary64)))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal -69/512 binary64) x) x #s(literal 11/64 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x)
(.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64))
(*.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal -69/512 binary64)
x
(*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 11/64 binary64)
(*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x)
(*.f64 x x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 #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(literal 1/2 binary64) #s(literal 3/2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 3/2 binary64)
(+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))))
(+.f64 (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 #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(literal 1/2 binary64) #s(literal 3/2 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #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(literal 1/2 binary64) #s(literal 3/2 binary64))
(sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (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(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 (cos.f64 (atan.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 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 (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 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)

localize859.0ms (9.3%)

Memory

-26.9MiB live, 1 170.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(+.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	0.01953125	(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (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	15.32411532732624	(fma.f64 (cos.f64 (atan.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy	27.7071487302721	(cos.f64 (atan.f64 x))
accuracy	0.08203125	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
accuracy	0.109375	(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
accuracy	15.345327751003394	(-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
accuracy	33.588221803604604	#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))
accuracy	0.38671875	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x)
accuracy	1.0	(*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	15.856439615677555	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
accuracy	30.357930512922653	#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
accuracy	0.00390625	(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
accuracy	0.0078125	(sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy	15.856439615677555	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
accuracy	30.379212176200294	#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	0.033535009768442016	(pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))
accuracy	0.08203125	(/.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 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (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))))
accuracy	15.28132556312831	(-.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)))
accuracy	27.7071487302721	(cos.f64 (atan.f64 x))

Samples

587.0ms	127×	2	valid
185.0ms	120×	1	valid
4.0ms	9×	0	valid

Compiler

Compiled 625 to 74 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 713.0ms

ival-pow: 360.0ms (50.5% of total)

ival-mult: 95.0ms (13.3% of total)

adjust: 85.0ms (11.9% of total)

ival-add: 44.0ms (6.2% of total)

ival-sqrt: 36.0ms (5% of total)

ival-div: 34.0ms (4.8% of total)

ival-cos: 26.0ms (3.6% of total)

ival-sub: 16.0ms (2.2% of total)

ival-hypot: 10.0ms (1.4% of total)

ival-atan: 6.0ms (0.8% of total)

exact: 1.0ms (0.1% of total)

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

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

series27.0ms (0.3%)

Memory

17.0MiB live, 55.5MiB allocated

Counts

27 → 115

Calls

Call 1

Inputs
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64))
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 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 3 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (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) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (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))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (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 (+ (* (cos (atan x)) 1/2) 1/2)) (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))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) 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))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) 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
(+ 1 (* (+ 1/2 (* 1/2 (cos (atan x)))) (+ 3/2 (* 1/2 (cos (atan x))))))
(+ 3/2 (* 1/2 (cos (atan x))))
(/ (- 1 (pow (+ 1/2 (* 1/2 (cos (atan x)))) 3)) (* (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))) (+ 1 (* (+ 1/2 (* 1/2 (cos (atan x)))) (+ 3/2 (* 1/2 (cos (atan x))))))))
(- 1 (pow (+ 1/2 (* 1/2 (cos (atan x)))) 3))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 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)))
(- (+ 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)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (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))))))
(+ (* (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))))))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(* 11/64 (sqrt 1/2))
(+ (* -69/512 (* (pow x 2) (sqrt 1/2))) (* 11/64 (sqrt 1/2)))
(+ 1 (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))))
(+ 1 (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 11/64 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))))))
(+ 1 (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -69/512 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))))
2
(+ 2 (* -1/4 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(* 3/8 (pow x 2))
(* (pow x 2) (+ 3/8 (* -39/128 (pow x 2))))
(* (pow x 2) (+ 3/8 (* (pow x 2) (- (* 275/1024 (pow x 2)) 39/128))))
(* (pow x 2) (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 275/1024 (* -8043/32768 (pow x 2)))) 39/128))))
(+ 1 (* -3/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 39/128 (pow x 2)) 3/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 39/128 (* -275/1024 (pow x 2)))) 3/8)))
(/ (- 1/2 (* 1/2 (cos (atan x)))) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))
(- 1/2 (* 1/2 (cos (atan x))))
(+ 1/2 (* -1/2 (cos (atan x))))
(cos (atan x))
(pow (+ 1/2 (* 1/2 (cos (atan x)))) 3)
(* -69/512 (* x (sqrt 1/2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(/ 1/2 (pow x 2))
(/ -1/2 (pow x 3))
(/ (- (pow x 2) 1/2) (pow x 3))
(+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(- (+ 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)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(+ (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)))))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* -69/512 (* (pow x 2) (sqrt 1/2)))
(* (pow x 2) (+ (* -69/512 (sqrt 1/2)) (* 11/64 (/ (sqrt 1/2) (pow x 2)))))
(* -69/512 (/ (* (pow x 6) (sqrt 1/2)) (sqrt 2)))
(* (pow x 6) (+ (* -69/512 (/ (sqrt 1/2) (sqrt 2))) (* 11/64 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2))))))
(* (pow x 6) (+ (* -1/4 (/ (sqrt 1/2) (* (pow x 4) (sqrt 2)))) (+ (* -69/512 (/ (sqrt 1/2) (sqrt 2))) (* 11/64 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))))))
(* (pow x 6) (+ (* -1/4 (/ (sqrt 1/2) (* (pow x 4) (sqrt 2)))) (+ (* -69/512 (/ (sqrt 1/2) (sqrt 2))) (+ (* 11/64 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow x 6))))))
3/2
(+ 3/2 (* 1/2 (/ 1 x)))
(- (+ 3/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 3/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(/ (- 1 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))
(- (+ (* -1 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (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))))
(- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))))))
(- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (* 1/32 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2)))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (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 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))))) (* (pow x 3) (+ 3/2 (sqrt 1/2)))) (/ (* (- 1 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))))))))
(- 1 (sqrt 1/8))
(- 1 (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8))))))
(- (+ 1 (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8))))) (+ (sqrt 1/8) (/ 3/16 (* x (sqrt 1/8)))))
(- (+ 1 (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (sqrt 1/8))))) (+ (sqrt 1/8) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8))))))
(sqrt 1/8)
(+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))
(+ (sqrt 1/8) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8)))))
(+ (sqrt 1/8) (+ (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (sqrt 1/8)))) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8))))))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(- 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(- 3/2 (* 1/2 (/ 1 x)))
(+ 3/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 3/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(- (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ 1 (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(- (+ (* -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 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (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))))
(- (+ (* -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))))) (+ (* 1/32 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2))))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (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 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))))) (+ 3/2 (sqrt 1/2))) (/ (* (- 1 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (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 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (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))))
(- (+ 1 (* 3/16 (/ 1 (* x (sqrt 1/8))))) (sqrt 1/8))
(- (+ 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))
(- (+ 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))
(- (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))
(+ (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)))
(+ (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)))
(/ -1 x)
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))
(* -1 (/ (- (* 1/2 (/ 1 (pow x 2))) 1) x))

Calls

3 calls:

Time

Variable

Point

Expression

11.0ms

inf

((+ (* (+ (* 1/2 (cos (atan x))) 1/2) (+ 3/2 (* 1/2 (cos (atan x))))) 1) (+ 3/2 (* 1/2 (cos (atan x)))) (/ (- 1 (pow (+ (* 1/2 (cos (atan x))) 1/2) 3)) (* (+ (* (+ (* 1/2 (cos (atan x))) 1/2) (+ 3/2 (* 1/2 (cos (atan x))))) 1) (+ (sqrt (+ (* 1/2 (cos (atan x))) 1/2)) 1))) (- 1 (pow (+ (* 1/2 (cos (atan x))) 1/2) 3)) (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (+ (* (* x x) -1/4) 1) (+ (* (* (* (sqrt 1/2) -69/512) x) x) (* 11/64 (sqrt 1/2))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (+ (* (* (+ (* (* (* (sqrt 1/2) -69/512) x) x) (* 11/64 (sqrt 1/2))) x) x) (* -1/4 (sqrt 1/2))) (/ (* x x) (sqrt 2))) 1) (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2) (/ (- 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)) (+ (* (cos (atan x)) -1/2) 1/2) (cos (atan x)) (pow (+ (* 1/2 (cos (atan x))) 1/2) 3) (* 11/64 (sqrt 1/2)) (* (* (sqrt 1/2) -69/512) x) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/ (/ 1/2 x) x) (/ (- 1 (/ (/ 1/2 x) x)) x) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1))

7.0ms

-inf

((+ (* (+ (* 1/2 (cos (atan x))) 1/2) (+ 3/2 (* 1/2 (cos (atan x))))) 1) (+ 3/2 (* 1/2 (cos (atan x)))) (/ (- 1 (pow (+ (* 1/2 (cos (atan x))) 1/2) 3)) (* (+ (* (+ (* 1/2 (cos (atan x))) 1/2) (+ 3/2 (* 1/2 (cos (atan x))))) 1) (+ (sqrt (+ (* 1/2 (cos (atan x))) 1/2)) 1))) (- 1 (pow (+ (* 1/2 (cos (atan x))) 1/2) 3)) (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (+ (* (* x x) -1/4) 1) (+ (* (* (* (sqrt 1/2) -69/512) x) x) (* 11/64 (sqrt 1/2))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (+ (* (* (+ (* (* (* (sqrt 1/2) -69/512) x) x) (* 11/64 (sqrt 1/2))) x) x) (* -1/4 (sqrt 1/2))) (/ (* x x) (sqrt 2))) 1) (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2) (/ (- 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)) (+ (* (cos (atan x)) -1/2) 1/2) (cos (atan x)) (pow (+ (* 1/2 (cos (atan x))) 1/2) 3) (* 11/64 (sqrt 1/2)) (* (* (sqrt 1/2) -69/512) x) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/ (/ 1/2 x) x) (/ (- 1 (/ (/ 1/2 x) x)) x) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1))

7.0ms

((+ (* (+ (* 1/2 (cos (atan x))) 1/2) (+ 3/2 (* 1/2 (cos (atan x))))) 1) (+ 3/2 (* 1/2 (cos (atan x)))) (/ (- 1 (pow (+ (* 1/2 (cos (atan x))) 1/2) 3)) (* (+ (* (+ (* 1/2 (cos (atan x))) 1/2) (+ 3/2 (* 1/2 (cos (atan x))))) 1) (+ (sqrt (+ (* 1/2 (cos (atan x))) 1/2)) 1))) (- 1 (pow (+ (* 1/2 (cos (atan x))) 1/2) 3)) (- 1 (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))))) (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (+ (* (* x x) -1/4) 1) (+ (* (* (* (sqrt 1/2) -69/512) x) x) (* 11/64 (sqrt 1/2))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (* (+ (* (* (+ (* (* (* (sqrt 1/2) -69/512) x) x) (* 11/64 (sqrt 1/2))) x) x) (* -1/4 (sqrt 1/2))) (/ (* x x) (sqrt 2))) 1) (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2) (/ (- 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)) (+ (* (cos (atan x)) -1/2) 1/2) (cos (atan x)) (pow (+ (* 1/2 (cos (atan x))) 1/2) 3) (* 11/64 (sqrt 1/2)) (* (* (sqrt 1/2) -69/512) x) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/ (/ 1/2 x) x) (/ (- 1 (/ (/ 1/2 x) x)) x) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1))

simplify167.0ms (1.8%)

Memory

-0.9MiB live, 198.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	505	2794
1	1653	2427
2	6152	2320
0	8120	2222

Stop Event

1×	iter limit
1×	node limit

Counts

115 → 115

Calls

Call 1

Inputs
(+ 1 (* (+ 1/2 (* 1/2 (cos (atan x)))) (+ 3/2 (* 1/2 (cos (atan x))))))
(+ 3/2 (* 1/2 (cos (atan x))))
(/ (- 1 (pow (+ 1/2 (* 1/2 (cos (atan x)))) 3)) (* (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))) (+ 1 (* (+ 1/2 (* 1/2 (cos (atan x)))) (+ 3/2 (* 1/2 (cos (atan x))))))))
(- 1 (pow (+ 1/2 (* 1/2 (cos (atan x)))) 3))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 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)))
(- (+ 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)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (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))))))
(+ (* (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))))))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(* 11/64 (sqrt 1/2))
(+ (* -69/512 (* (pow x 2) (sqrt 1/2))) (* 11/64 (sqrt 1/2)))
(+ 1 (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))))
(+ 1 (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 11/64 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))))))
(+ 1 (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -69/512 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))))
2
(+ 2 (* -1/4 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(* 3/8 (pow x 2))
(* (pow x 2) (+ 3/8 (* -39/128 (pow x 2))))
(* (pow x 2) (+ 3/8 (* (pow x 2) (- (* 275/1024 (pow x 2)) 39/128))))
(* (pow x 2) (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 275/1024 (* -8043/32768 (pow x 2)))) 39/128))))
(+ 1 (* -3/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 39/128 (pow x 2)) 3/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 39/128 (* -275/1024 (pow x 2)))) 3/8)))
(/ (- 1/2 (* 1/2 (cos (atan x)))) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))
(- 1/2 (* 1/2 (cos (atan x))))
(+ 1/2 (* -1/2 (cos (atan x))))
(cos (atan x))
(pow (+ 1/2 (* 1/2 (cos (atan x)))) 3)
(* -69/512 (* x (sqrt 1/2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(/ 1/2 (pow x 2))
(/ -1/2 (pow x 3))
(/ (- (pow x 2) 1/2) (pow x 3))
(+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(- (+ 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)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(+ (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)))))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* -69/512 (* (pow x 2) (sqrt 1/2)))
(* (pow x 2) (+ (* -69/512 (sqrt 1/2)) (* 11/64 (/ (sqrt 1/2) (pow x 2)))))
(* -69/512 (/ (* (pow x 6) (sqrt 1/2)) (sqrt 2)))
(* (pow x 6) (+ (* -69/512 (/ (sqrt 1/2) (sqrt 2))) (* 11/64 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2))))))
(* (pow x 6) (+ (* -1/4 (/ (sqrt 1/2) (* (pow x 4) (sqrt 2)))) (+ (* -69/512 (/ (sqrt 1/2) (sqrt 2))) (* 11/64 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))))))
(* (pow x 6) (+ (* -1/4 (/ (sqrt 1/2) (* (pow x 4) (sqrt 2)))) (+ (* -69/512 (/ (sqrt 1/2) (sqrt 2))) (+ (* 11/64 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow x 6))))))
3/2
(+ 3/2 (* 1/2 (/ 1 x)))
(- (+ 3/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 3/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(/ (- 1 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))
(- (+ (* -1 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (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))))
(- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))))))
(- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (* 1/32 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2)))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (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 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))))) (* (pow x 3) (+ 3/2 (sqrt 1/2)))) (/ (* (- 1 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))))))))
(- 1 (sqrt 1/8))
(- 1 (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8))))))
(- (+ 1 (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8))))) (+ (sqrt 1/8) (/ 3/16 (* x (sqrt 1/8)))))
(- (+ 1 (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (sqrt 1/8))))) (+ (sqrt 1/8) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8))))))
(sqrt 1/8)
(+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))
(+ (sqrt 1/8) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8)))))
(+ (sqrt 1/8) (+ (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (sqrt 1/8)))) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8))))))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(- 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(- 3/2 (* 1/2 (/ 1 x)))
(+ 3/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 3/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(- (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ 1 (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(- (+ (* -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 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (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))))
(- (+ (* -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))))) (+ (* 1/32 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2))))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (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 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))))) (+ 3/2 (sqrt 1/2))) (/ (* (- 1 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (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 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (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))))
(- (+ 1 (* 3/16 (/ 1 (* x (sqrt 1/8))))) (sqrt 1/8))
(- (+ 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))
(- (+ 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))
(- (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))
(+ (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)))
(+ (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)))
(/ -1 x)
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))
(* -1 (/ (- (* 1/2 (/ 1 (pow x 2))) 1) x))

Outputs
(+ 1 (* (+ 1/2 (* 1/2 (cos (atan x)))) (+ 3/2 (* 1/2 (cos (atan x))))))
(fma.f64 (fma.f64 (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)) #s(literal 1 binary64))
(+ 3/2 (* 1/2 (cos (atan x))))
(fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(/ (- 1 (pow (+ 1/2 (* 1/2 (cos (atan x)))) 3)) (* (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))) (+ 1 (* (+ 1/2 (* 1/2 (cos (atan x)))) (+ 3/2 (* 1/2 (cos (atan x))))))))
(/.f64 (/.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 3/2 binary64)) (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)))
(- 1 (pow (+ 1/2 (* 1/2 (cos (atan x)))) 3))
(-.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)))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 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)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 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)))
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(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(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))))
(+ (* (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))))))
(fma.f64 (.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))) x) x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 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))))))))
(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 #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))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) x) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(* 11/64 (sqrt 1/2))
(*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* -69/512 (* (pow x 2) (sqrt 1/2))) (* 11/64 (sqrt 1/2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal -69/512 binary64) x) x #s(literal 11/64 binary64)))
(+ 1 (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))))
(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))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 11/64 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))))))
(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) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -69/512 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal -69/512 binary64) x) x #s(literal 11/64 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (/.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))
2
#s(literal 2 binary64)
(+ 2 (* -1/4 (pow x 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) x) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 2 binary64))
(* 1/8 (pow x 2))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
(* 3/8 (pow x 2))
(.f64 #s(literal 3/8 binary64) (.f64 x x))
(* (pow x 2) (+ 3/8 (* -39/128 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -39/128 binary64) (*.f64 x x) #s(literal 3/8 binary64)) x) x)
(* (pow x 2) (+ 3/8 (* (pow x 2) (- (* 275/1024 (pow x 2)) 39/128))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 275/1024 binary64) (.f64 x x)) #s(literal 39/128 binary64)) (*.f64 x x) #s(literal 3/8 binary64)) x) x)
(* (pow x 2) (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 275/1024 (* -8043/32768 (pow x 2)))) 39/128))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -8043/32768 binary64) (.f64 x x) #s(literal 275/1024 binary64)) x) x) #s(literal 39/128 binary64)) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x))
(+ 1 (* -3/8 (pow x 2)))
(fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 39/128 (pow x 2)) 3/8)))
(fma.f64 (-.f64 (.f64 #s(literal 39/128 binary64) (.f64 x x)) #s(literal 3/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 39/128 (* -275/1024 (pow x 2)))) 3/8)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -275/1024 binary64) (.f64 x x) #s(literal 39/128 binary64)) x) x) #s(literal 3/8 binary64)) (.f64 x x) #s(literal 1 binary64))
(/ (- 1/2 (* 1/2 (cos (atan x)))) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))
(/.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)))
(- 1/2 (* 1/2 (cos (atan x))))
(fma.f64 (cos.f64 (atan.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (atan x))))
(fma.f64 (cos.f64 (atan.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos (atan x))
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(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)
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(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
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(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
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(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
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(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
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(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
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(+ (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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(- 1/2 (* 1/2 (/ 1 x)))
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(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
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(- 3/2 (* 1/2 (/ 1 x)))
(-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(+ 3/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
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(- (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ 1 (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
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(- (+ (* -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 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (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))))
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(- (+ (* -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))))) (+ (* 1/32 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2))))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (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 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))))) (+ 3/2 (sqrt 1/2))) (/ (* (- 1 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (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 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (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))))
(fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 13/128 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (sqrt.f64 #s(literal 1/8 binary64))) (fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/32 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -3/64 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (sqrt.f64 #s(literal 1/8 binary64))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) #s(literal -1/32 binary64) (/.f64 (.f64 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 (/.f64 #s(literal -3/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))) (neg.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 3/64 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (neg.f64 (.f64 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (/.f64 (.f64 #s(literal -1/32 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))) (neg.f64 x)) (/.f64 (+.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) x) #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(- (+ 1 (* 3/16 (/ 1 (* x (sqrt 1/8))))) (sqrt 1/8))
(-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/8 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))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -3/16 binary64) (/.f64 #s(literal 3/64 binary64) x)) (sqrt.f64 #s(literal 1/8 binary64))) x)) (sqrt.f64 #s(literal 1/8 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))
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(- (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))
(-.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
(+ (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)))
(-.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/64 binary64) x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) x))
(+ (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)))
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(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (neg.f64 x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (neg.f64 x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #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))
(* -1 (/ (- (* 1/2 (/ 1 (pow x 2))) 1) x))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) (neg.f64 x))

rewrite239.0ms (2.6%)

Memory

1.4MiB live, 233.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	509
0	128	462
1	563	414
2	4352	414
0	8238	410

Stop Event

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

Counts

27 → 544

Calls

Call 1

Inputs
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64))
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 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 3 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (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) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (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))
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#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (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 (+ (* (cos (atan x)) 1/2) 1/2)) (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))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) 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))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) 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 (fma.f64 (fma.f64 (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)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (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)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (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))) #s(literal 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 3/2 binary64)) (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 (pow.f64 (.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (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))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 (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))) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (fma.f64 (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))) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (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))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (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))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (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)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (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))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (fma.f64 (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))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (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)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (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))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 (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))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 (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))) #s(literal 2 binary64)) (*.f64 (fma.f64 (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))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (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 (.f64 #s(literal 3/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1/2 binary64) (fma.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal 3/4 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (fma.f64 (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (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))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 3/2 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 3/4 binary64) (fma.f64 (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (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))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (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)) #s(literal 1 binary64))
(fma.f64 #s(literal 3/2 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 1 binary64)))
(fma.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 3/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.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 3/2 binary64)) #s(literal 1 binary64))
(fma.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 (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 3/2 binary64)) (fma.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 3/2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (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))) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (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))) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (fma.f64 (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))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (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))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.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 3/2 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/4 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/4 binary64))) (.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 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 2 binary64))) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (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))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (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)))))) (pow.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (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))))) #s(literal -1 binary64)))
(+.f64 (fma.f64 #s(literal 3/4 binary64) (cos.f64 (atan.f64 x)) #s(literal 3/4 binary64)) (fma.f64 (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 (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))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (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))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64))) #s(literal 9/4 binary64)) (-.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(/.f64 (-.f64 #s(literal 27/8 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -3 binary64)))) (+.f64 #s(literal 9/4 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 (asinh.f64 x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 9/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64))))) (neg.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 (asinh.f64 x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -3 binary64)) #s(literal 27/8 binary64))) (neg.f64 (fma.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 9/4 binary64))))
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(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (neg.f64 x)))
(-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.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 (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 (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))) (neg.f64 (-.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.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 (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 #s(literal 1 binary64) (-.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 (+.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 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.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 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 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))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (fabs.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 #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 (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)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.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 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 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))) (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 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))
(+.f64 (/.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 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (pow.f64 (-.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 3/2 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 (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))))

eval167.0ms (1.8%)

Memory: 22.8MiB live, 337.7MiB allocated
Compiler: Compiled 55 742 to 4 589 computations (91.8% saved)

prune102.0ms (1.1%)

Memory

10.7MiB live, 131.8MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	1 003	10	1 013
Fresh	14	4	18
Picked	5	0	5
Done	2	3	5
Total	1 024	17	1 041

Accuracy

100.0%

Counts

1 041 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.0%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (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)) #s(literal 3 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (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))))
	76.0%	(/.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 3 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 (asinh.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))))
	47.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (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))))))
	47.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))))
	48.6%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	76.1%	(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (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)))
	47.2%	(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 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))) (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))))
	76.0%	(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 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)))
	47.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (+.f64 #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(literal 1 binary64)) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
✓	75.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
	46.4%	(-.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)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))))))
✓	47.4%	(-.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)))))
✓	47.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	52.5%	#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
	53.8%	#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
	52.5%	#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
	53.9%	#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

Compiler

Compiled 2 751 to 721 computations (73.8% saved)

regimes174.0ms (1.9%)

Memory

-36.7MiB live, 84.8MiB allocated

Counts

52 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.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 (pow (+ (* x x) 1) -1/2))) (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 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) x) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (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 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #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)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.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))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) #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))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 #s(approx (+ (* (* (* -69/512 (sqrt 1/2)) x) x) (* 11/64 (sqrt 1/2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -69/512 binary64) (.f64 x x) #s(literal 11/64 binary64)))) (.f64 x x) (.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))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (+.f64 #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(literal 1 binary64)) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) #s(approx (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (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)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (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) (.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #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(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) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #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(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) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.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(literal 2 binary64))) (+.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.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(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (cos.f64 (atan.f64 x))) #s(literal 2 binary64))))))
(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.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 (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) (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 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #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 #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(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 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 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (fma.f64 (cosh.f64 (atanh.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 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (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)) #s(literal 3 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (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 (-.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))) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (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 (-.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))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 (asinh.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(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 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))) (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 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (/.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))) (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 -1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cosh.f64 (asinh.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)))) (cosh.f64 (asinh.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (-.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (-.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))))))))

Outputs

#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

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

75.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
21.0ms	x
12.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
11.0ms	(hypot.f64 #s(literal 1 binary64) x)
10.0ms	(sqrt.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	`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	`(sqrt.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 1/2 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) (/.f64 #s(literal 1 binary64) (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	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes81.0ms (0.9%)

Memory

3.8MiB live, 80.2MiB allocated

Counts

36 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.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 (pow (+ (* x x) 1) -1/2))) (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 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) x) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (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 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #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)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.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))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) #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))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 #s(approx (+ (* (* (* -69/512 (sqrt 1/2)) x) x) (* 11/64 (sqrt 1/2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -69/512 binary64) (.f64 x x) #s(literal 11/64 binary64)))) (.f64 x x) (.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))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (+.f64 #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(literal 1 binary64)) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) #s(approx (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (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)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (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) (.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #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(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) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #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(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) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (sqrt.f64 x))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.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(literal 2 binary64))) (+.f64 #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.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(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (cos.f64 (atan.f64 x))) #s(literal 2 binary64))))))

Outputs

#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

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

Calls

7 calls:

20.0ms	(*.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	x
9.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
8.0ms	(hypot.f64 #s(literal 1 binary64) x)
7.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes57.0ms (0.6%)

Memory

24.5MiB live, 62.7MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.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 (pow (+ (* x x) 1) -1/2))) (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 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) x) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (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 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #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)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.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))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) #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))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 #s(approx (+ (* (* (* -69/512 (sqrt 1/2)) x) x) (* 11/64 (sqrt 1/2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -69/512 binary64) (.f64 x x) #s(literal 11/64 binary64)))) (.f64 x x) (.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))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (+.f64 #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(literal 1 binary64)) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) #s(approx (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (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)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (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) (.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #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(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) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))))))

Outputs

#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes102.0ms (1.1%)

Memory

-29.4MiB live, 62.7MiB allocated

Counts

30 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.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 (pow (+ (* x x) 1) -1/2))) (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 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) x) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (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 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #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)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.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))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) #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))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 #s(approx (+ (* (* (* -69/512 (sqrt 1/2)) x) x) (* 11/64 (sqrt 1/2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -69/512 binary64) (.f64 x x) #s(literal 11/64 binary64)))) (.f64 x x) (.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))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (+.f64 #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(literal 1 binary64)) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) #s(approx (sqrt (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(approx (pow (+ ( x x) 1) 1/4) (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)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))

Outputs

#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

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

Calls

7 calls:

36.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
32.0ms	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))))
6.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.2%	2	`x`
99.2%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.2%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.2%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.2%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.2%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.2%	2	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes70.0ms (0.8%)

Memory

21.5MiB live, 58.8MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.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 (pow (+ (* x x) 1) -1/2))) (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 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) x) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (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 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #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)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.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))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) #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))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 #s(approx (+ (* (* (* -69/512 (sqrt 1/2)) x) x) (* 11/64 (sqrt 1/2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -69/512 binary64) (.f64 x x) #s(literal 11/64 binary64)))) (.f64 x x) (.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))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (+.f64 #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(literal 1 binary64)) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.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))))))

Outputs

#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

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

Calls

7 calls:

33.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
7.0ms	x
6.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
6.0ms	(hypot.f64 #s(literal 1 binary64) x)
5.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes72.0ms (0.8%)

Memory

2.3MiB live, 40.7MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.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 (pow (+ (* x x) 1) -1/2))) (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 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) x) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (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 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #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)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.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))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2)))) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) #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))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -69/512 binary64)) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 #s(approx (+ (* (* (* -69/512 (sqrt 1/2)) x) x) (* 11/64 (sqrt 1/2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -69/512 binary64) (.f64 x x) #s(literal 11/64 binary64)))) (.f64 x x) (.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))))))

Outputs

#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes55.0ms (0.6%)

Memory

-7.0MiB live, 38.2MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.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 (pow (+ (* x x) 1) -1/2))) (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 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) x) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))

Outputs

#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

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

Calls

7 calls:

29.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
5.0ms	x
4.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
4.0ms	(hypot.f64 #s(literal 1 binary64) x)
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
98.4%	2	`x`
98.4%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.4%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.4%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.4%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.4%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.4%	2	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes35.0ms (0.4%)

Memory

4.2MiB live, 40.8MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.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 (pow (+ (* x x) 1) -1/2))) (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 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))

Outputs

#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

(/.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)))

Calls

7 calls:

14.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
4.0ms	x
3.0ms	(hypot.f64 #s(literal 1 binary64) x)
3.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
3.0ms	(-.f64 #s(literal 1 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
98.4%	2	`x`
98.4%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.4%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.4%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.4%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.4%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.4%	2	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes26.0ms (0.3%)

Memory

-0.6MiB live, 36.6MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.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 (pow (+ (* x x) 1) -1/2))) (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 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Outputs

#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

(/.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)))

Calls

7 calls:

8.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
3.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms	(hypot.f64 #s(literal 1 binary64) x)
3.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
98.3%	2	`x`
98.3%	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))))))`
98.3%	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)))))`
98.3%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.3%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.3%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.3%	2	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes23.0ms (0.2%)

Memory

-0.4MiB live, 37.6MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.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 (pow (+ (* x x) 1) -1/2))) (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)))))

Outputs

#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

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

Calls

7 calls:

8.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
3.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
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))))))

Results

Accuracy	Segments	Branch
98.3%	2	`x`
98.3%	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))))))`
98.3%	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)))))`
98.3%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.3%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.3%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.3%	2	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes39.0ms (0.4%)

Memory

-28.0MiB live, 19.1MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (pow (+ (* x x) 1) -1/2))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.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 (pow (+ (* x x) 1) -1/2))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))

Outputs

#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (*.f64 (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

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

Calls

7 calls:

26.0ms	x
2.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms	(hypot.f64 #s(literal 1 binary64) x)
2.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
2.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
97.6%	2	`x`
97.6%	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))))))`
97.6%	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)))))`
97.6%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
97.6%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
97.6%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
97.6%	2	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes12.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

2.0ms	x
2.0ms	(/.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))))
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))))))

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes7.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
53.9%	1	`x`
53.9%	1	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
53.9%	1	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
53.9%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
53.9%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
53.9%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
53.9%	1	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000536364	1.0031812601843704

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0031812601843704	3.063628804085057

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0031812601843704	3.063628804085057

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000536364	1.0031812601843704

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0031812601843704	3.063628804085057

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0031812601843704	3.063628804085057

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0031812601843704	3.063628804085057

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0031812601843704	3.063628804085057

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0031812601843704	3.063628804085057

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0031812601843704	3.063628804085057

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0031812601843704	3.063628804085057

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0031812601843704	3.063628804085057

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify115.0ms (1.2%)

Memory

0.5MiB live, 76.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	121	1289
1	191	1193
2	319	1193
3	529	1193
4	844	1193
5	1323	1193
6	2191	1193
7	3699	1193
8	6305	1193

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4512606826625237/4503599627370496 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (/.f64 #s(approx (- 1 (+ ( (cos (atan x)) 1/2) 1/2)) (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))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4512606826625237/4503599627370496 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (+.f64 #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(literal 1 binary64)) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #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))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (/.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))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (/.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))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

Outputs
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4512606826625237/4503599627370496 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (/.f64 #s(approx (- 1 (+ ( (cos (atan x)) 1/2) 1/2)) (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))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4512606826625237/4503599627370496 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (+.f64 #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(literal 1 binary64)) (fma.f64 #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(literal 1/2 binary64) #s(literal 1/2 binary64))))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #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))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (/.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))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (/.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))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (pow (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2) 3/2)) (+ (+ 1 (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ 1 (sqrt (+ (* 1 1) (* x x)))) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

soundness1.2s (12.7%)

Memory

-27.5MiB live, 1 090.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	346	1448
1	1086	1295
2	3811	1181
0	8362	1111
0	206	845
1	633	767
2	1960	714
3	7820	714
0	8462	676
0	75	509
0	128	462
1	563	414
2	4352	414
0	8238	410
0	9	43
0	18	33
1	82	33
2	609	33
3	6358	33
0	8243	30
0	505	2794
1	1653	2427
2	6152	2320
0	8120	2222
0	41	369
0	67	276
1	290	249
2	2223	245
0	8542	230

Stop Event

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

Compiler

Compiled 2 062 to 566 computations (72.6% saved)

preprocess95.0ms (1%)

Memory: 35.5MiB live, 118.1MiB allocated
Remove: (abs x)
Compiler: Compiled 3 028 to 358 computations (88.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	31
1	37	27
2	70	27
3	95	27
4	127	27
5	134	27
0	9	12
0	18	12
1	35	10
2	65	10
3	105	10
4	137	10
5	144	10
0	144	10

Iter	Nodes	Cost
0	41	423
0	67	412
1	109	359
2	178	354
3	293	354
4	504	354
5	663	354
6	777	354
7	870	354
8	884	354
9	886	354
10	887	354
0	887	348

Iter	Nodes	Cost
0	14	31
1	37	27
2	70	27
3	95	27
4	127	27
5	134	27
0	9	12
0	18	12
1	35	10
2	65	10
3	105	10
4	137	10
5	144	10
0	144	10

Iter	Nodes	Cost
0	41	423
0	67	412
1	109	359
2	178	354
3	293	354
4	504	354
5	663	354
6	777	354
7	870	354
8	884	354
9	886	354
10	887	354
0	887	348

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (19.6%)

explain227.0ms (2.4%)

preprocess20.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize66.0ms (0.7%)

series5.0ms (0.1%)

simplify174.0ms (1.9%)

rewrite175.0ms (1.9%)

eval61.0ms (0.7%)

prune55.0ms (0.6%)

simplify50.0ms (0.5%)

localize531.0ms (5.7%)

series11.0ms (0.1%)

simplify177.0ms (1.9%)

rewrite214.0ms (2.3%)

eval83.0ms (0.9%)

prune31.0ms (0.3%)

simplify189.0ms (2%)

localize764.0ms (8.2%)

series22.0ms (0.2%)

simplify333.0ms (3.6%)

rewrite208.0ms (2.2%)

eval147.0ms (1.6%)

prune41.0ms (0.4%)

simplify161.0ms (1.7%)

localize859.0ms (9.3%)

series27.0ms (0.3%)

simplify167.0ms (1.8%)

rewrite239.0ms (2.6%)

eval167.0ms (1.8%)

prune102.0ms (1.1%)

regimes174.0ms (1.9%)

regimes81.0ms (0.9%)

regimes57.0ms (0.6%)

regimes102.0ms (1.1%)

regimes70.0ms (0.8%)

regimes72.0ms (0.8%)

regimes55.0ms (0.6%)

regimes35.0ms (0.4%)

regimes26.0ms (0.3%)

regimes23.0ms (0.2%)

regimes39.0ms (0.4%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify115.0ms (1.2%)

soundness1.2s (12.7%)

preprocess95.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	31
1	37	27
2	70	27
3	95	27
4	127	27
5	134	27
0	9	12
0	18	12
1	35	10
2	65	10
3	105	10
4	137	10
5	144	10
0	144	10

Iter	Nodes	Cost
0	41	423
0	67	412
1	109	359
2	178	354
3	293	354
4	504	354
5	663	354
6	777	354
7	870	354
8	884	354
9	886	354
10	887	354
0	887	348