Metrics for Given's Rotation SVD example, simplified

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample1.6s (19.8%)

Memory

-24.2MiB live, 2 626.5MiB allocated

Samples

722.0ms	2 783×	2	valid
315.0ms	4 187×	0	valid
211.0ms	1 286×	1	valid

Precisions

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

adjust: 260.0ms (25.5% of total)

ival-mult: 209.0ms (20.5% of total)

ival-add: 199.0ms (19.5% of total)

ival-sqrt: 157.0ms (15.4% of total)

ival-div: 112.0ms (11% of total)

ival-sub: 68.0ms (6.7% of total)

exact: 7.0ms (0.7% of total)

ival-true: 6.0ms (0.6% of total)

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

Bogosity

explain177.0ms (2.1%)

Memory

11.3MiB live, 324.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
135	-	135	(2.067317622375974e+247)	`(hypot.f64 #s(literal 1 binary64) x)`
65	-	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))))))`
2	-	0	-	`(/.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	-	`(sqrt.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	65	0

Confusion

	Predicted +	Predicted -
+	65	4
-	0	187

Precision

1.0

Recall

0.9420289855072463

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	65	0	4
-	0	0	187

Precision?

1.0

Recall?

0.9420289855072463

Freqs

test

number	freq
0	191
1	65

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms	172×	2	valid
40.0ms	264×	0	valid
11.0ms	76×	1	valid

Compiler

Compiled 162 to 35 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 12.0ms (23.6% of total)

adjust: 9.0ms (17.7% of total)

ival-div: 9.0ms (17.7% of total)

ival-add: 9.0ms (17.7% of total)

ival-sqrt: 7.0ms (13.7% of total)

ival-sub: 4.0ms (7.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess29.0ms (0.3%)

Memory

17.1MiB live, 51.3MiB allocated

Algorithm

1×	egg-herbie

Rules

60×	`distribute-lft-neg-in`
52×	`neg-mul-1`
46×	`sub-neg`
42×	`associate--r+`
36×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	36	24
2	74	24
3	119	24
4	171	24
5	207	24
6	245	24
7	295	24
8	330	24
9	371	24
10	402	24
11	410	24
0	9	12
0	17	12
1	30	10
2	37	10
3	42	10
4	48	10
5	56	10
6	66	10
7	77	10
8	80	10
0	80	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 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))

Symmetry

(abs x)

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Compiler

Compiled 12 to 9 computations (25% saved)

simplify5.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB 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	320	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Rules

36×	`lower-+.f32`
34×	`lower-+.f64`
18×	`lower-fma.f64`
18×	`lower-fma.f32`
18×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	49
0	17	49
1	30	43
2	37	43
3	42	43
4	48	43
5	56	43
6	66	43
7	77	43
8	80	43
0	80	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 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
x

localize55.0ms (0.7%)

Memory

2.1MiB live, 80.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	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)))))
accuracy	0.44306746490954374	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
accuracy	14.922244012744287	(-.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))))))
accuracy	30.796516659819183	(hypot.f64 #s(literal 1 binary64) x)

Samples

27.0ms	86×	2	valid
9.0ms	132×	0	valid
9.0ms	38×	1	valid

Compiler

Compiled 75 to 13 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 15.0ms (45.4% of total)

ival-add: 5.0ms (15.1% of total)

adjust: 4.0ms (12.1% of total)

ival-div: 3.0ms (9.1% of total)

ival-sqrt: 3.0ms (9.1% of total)

ival-sub: 2.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

-22.6MiB live, 12.5MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())
#s(alt (-.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)))))) (patch (-.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)))))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (patch (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #<representation:binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())
#s(alt (hypot.f64 #s(literal 1 binary64) x) (patch (hypot.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (- 1 (* (sqrt 1/2) (sqrt 2))) (taylor 0 x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/2 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) (taylor 0 x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/2 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) (taylor 0 x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/2 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) (taylor 0 x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt 1/2) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (patch (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (patch (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (patch (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (patch (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #<representation:binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (+ 2 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (- (pow x 2) 1))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (hypot.f64 #s(literal 1 binary64) x) (patch (hypot.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (hypot.f64 #s(literal 1 binary64) x) (patch (hypot.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (hypot.f64 #s(literal 1 binary64) x) (patch (hypot.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (hypot.f64 #s(literal 1 binary64) x) (patch (hypot.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())
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#s(alt (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())) ())

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify265.0ms (3.2%)

Memory

50.5MiB live, 342.2MiB allocated

Algorithm

1×	egg-herbie

Rules

21 108×	`lower-fma.f64`
21 108×	`lower-fma.f32`
5 258×	`lower-*.f64`
5 258×	`lower-*.f32`
3 868×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	960
1	396	892
2	1154	880
3	3530	816
4	7946	816
0	8277	773

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2)))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/2 (/ (* (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) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/2 (/ (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) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/2 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/2 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))
2
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (pow x 2) 1)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (pow x 2) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))
1/2
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4)))
(- (+ 1/2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (/ 1/2 (pow x 4)))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) (pow x 2)))) (sqrt 1/2))
(- (+ 1 (* 5/8 (/ (sqrt 1/2) (pow x 4)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(- (+ 1 (* -13/16 (/ (sqrt 1/2) (pow x 6)))) (+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (+ (* 1/2 (/ (sqrt 1/2) (pow x 2))) (* 13/16 (/ (sqrt 1/2) (pow x 6))))))
1
(+ 1 (/ 1 (pow x 2)))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 4)))
(- (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
1/2
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4)))
(- (+ 1/2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (/ 1/2 (pow x 4)))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) (pow x 2)))) (sqrt 1/2))
(- (+ 1 (* 5/8 (/ (sqrt 1/2) (pow x 4)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(- (+ 1 (* -13/16 (/ (sqrt 1/2) (pow x 6)))) (+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (+ (* 1/2 (/ (sqrt 1/2) (pow x 2))) (* 13/16 (/ (sqrt 1/2) (pow x 6))))))
1
(+ 1 (/ 1 (pow x 2)))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 4)))
(- (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(- (+ 1 (* 1/2 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/2 (/ (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 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 7/8 binary64) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64)))
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/2 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 25/32 binary64) x) x #s(literal -7/8 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* -1/2 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1 (* 1/4 (/ 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 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 7/8 binary64) #s(literal -1/2 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) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 25/32 binary64) #s(literal 7/16 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (pow x 2)))
(-.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* (pow x 2) (- (pow x 2) 1)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))
(fma.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (pow x 2) 1)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))
(.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(- (+ 1/2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4)))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ 1/2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (/ 1/2 (pow x 4)))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))
(- 1 (sqrt 1/2))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) (pow x 2)))) (sqrt 1/2))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1 binary64))
(- (+ 1 (* 5/8 (/ (sqrt 1/2) (pow x 4)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 5/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ 1 (* -13/16 (/ (sqrt 1/2) (pow x 6)))) (+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 5/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal -13/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -5/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (+ (* 1/2 (/ (sqrt 1/2) (pow x 2))) (* 13/16 (/ (sqrt 1/2) (pow x 6))))))
(fma.f64 #s(literal 13/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -5/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (/ 1 (pow x 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 4)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))) (.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 x x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(- (+ 1/2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4)))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ 1/2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (/ 1/2 (pow x 4)))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))
(- 1 (sqrt 1/2))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) (pow x 2)))) (sqrt 1/2))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1 binary64))
(- (+ 1 (* 5/8 (/ (sqrt 1/2) (pow x 4)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 5/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ 1 (* -13/16 (/ (sqrt 1/2) (pow x 6)))) (+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 5/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal -13/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -5/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (+ (* 1/2 (/ (sqrt 1/2) (pow x 2))) (* 13/16 (/ (sqrt 1/2) (pow x 6))))))
(fma.f64 #s(literal 13/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -5/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (/ 1 (pow x 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 4)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))) (.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 x x))

rewrite246.0ms (3%)

Memory

18.5MiB live, 367.7MiB allocated

Rules

5 404×	`lower-fma.f64`
5 404×	`lower-fma.f32`
3 522×	`lower-*.f32`
3 520×	`lower-*.f64`
2 558×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	46
0	17	46
1	76	40
2	561	40
3	5886	40
0	8423	40

Stop Event

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

Counts

6 → 464

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

Outputs
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (+.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.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 (expm1.f64 (neg.f64 (log1p.f64 (.f64 x x)))) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (*.f64 x x)))) (hypot.f64 #s(literal 1 binary64) 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 (expm1.f64 (neg.f64 (log1p.f64 (.f64 x x)))) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (.f64 x x)))) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (.f64 x x)))) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.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)) (pow.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log1p.f64 (.f64 x x))))) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log1p.f64 (.f64 x x)))))))
(.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log1p.f64 (*.f64 x x))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log1p.f64 (*.f64 x x))))) (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))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (expm1.f64 (neg.f64 (log1p.f64 (.f64 x x)))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log1p.f64 (.f64 x x)))))))
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log1p.f64 (*.f64 x x)))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1 binary64))) (expm1.f64 (neg.f64 (log1p.f64 (.f64 x x)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log1p.f64 (.f64 x x)))))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (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 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log1p.f64 (.f64 x x))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (neg.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))) (neg.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log1p.f64 (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.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 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log1p.f64 (*.f64 x x))))))
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(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x x))))
(+.f64 (.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)))
(+.f64 (.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (.f64 (neg.f64 x) x) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(+.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))

eval121.0ms (1.4%)

Memory: -41.8MiB live, 191.3MiB allocated
Compiler: Compiled 12 947 to 2 460 computations (81% saved)

prune32.0ms (0.4%)

Memory

-5.3MiB live, 36.7MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	527	9	536
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	528	9	537

Accuracy

77.7%

Counts

537 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.5%	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	26.1%	(-.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 x #s(literal 6 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (hypot.f64 (*.f64 x x) x) #s(literal 1 binary64))))))))
▶	76.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))
	50.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))))
▶	26.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
▶	26.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
	51.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
	27.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1 binary64))))
▶	52.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64))))

Compiler

Compiled 244 to 178 computations (27% saved)

simplify289.0ms (3.5%)

Memory

1.6MiB live, 189.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(hypot.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 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 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64))))
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))
cost-diff	320	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))

Rules

9 492×	`lower-fma.f32`
9 484×	`lower-fma.f64`
2 406×	`lower--.f32`
2 396×	`lower--.f64`
2 276×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	310
0	62	308
1	108	280
2	152	280
3	245	280
4	411	280
5	733	280
6	1438	280
7	2285	280
8	3071	280
9	3652	280
10	3972	280
11	4228	280
12	4448	280
13	4520	280
14	4899	280
15	5095	280
16	5183	280
17	5481	280
18	5625	280
19	5664	280
20	5734	280
21	6837	280
22	7735	280
0	8217	276

Stop Event

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

Calls

Call 1

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

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

localize144.0ms (1.7%)

Memory

41.5MiB live, 263.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
accuracy	0.4352549649095443	(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
accuracy	14.362731280560654	(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
accuracy	30.796516659819183	(hypot.f64 #s(literal 1 binary64) x)
accuracy	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
accuracy	0.08660126953688403	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
accuracy	14.922244012744287	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
accuracy	31.651291527114218	#s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	14.922244012744287	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
accuracy	32.58730173620004	#s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64)))
accuracy	14.922244012744287	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64))))
accuracy	25.505930070816248	#s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64))
accuracy	0	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
accuracy	0	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
accuracy	0.44306746490954374	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
accuracy	14.922244012744287	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))

Samples

56.0ms	86×	2	valid
32.0ms	132×	0	valid
26.0ms	38×	1	valid

Compiler

Compiled 327 to 32 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-div: 23.0ms (26.2% of total)

ival-add: 20.0ms (22.8% of total)

ival-mult: 15.0ms (17.1% of total)

adjust: 13.0ms (14.8% of total)

ival-sqrt: 10.0ms (11.4% of total)

ival-sub: 6.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.5%)

Memory

-22.1MiB live, 74.8MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #<representation:binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) (patch (-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (patch (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) #<representation:binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64)))) (patch (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64)))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64))) (patch (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64))) #<representation:binary64>) () ())
#s(alt #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64)) (patch #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64)) #<representation:binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (patch (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (patch #s(approx ( 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (patch (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) #<representation:binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (patch (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #<representation:binary64>) () ())
#s(alt (hypot.f64 #s(literal 1 binary64) x) (patch (hypot.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation:binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (- 1 (* (sqrt 1/2) (sqrt 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) (patch (-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/2 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) (patch (-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/2 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) (patch (-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/2 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) (patch (-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt 1/2) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (patch (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (patch (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (patch (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (patch (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) #<representation:binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ 2 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (- (pow x 2) 1))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (- 1 (* (sqrt 1/2) (sqrt 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64)))) (patch (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/2 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64)))) (patch (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/2 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64)))) (patch (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/2 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64)))) (patch (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt 1/2) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64))) (patch (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64))) #<representation:binary64>) () ())) ())
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#s(alt (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/2 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 1/2 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 1/2 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

17.0ms

inf

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

11.0ms

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

1.0ms

-inf

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

simplify184.0ms (2.2%)

Memory

22.5MiB live, 248.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 970×	`lower-fma.f64`
9 970×	`lower-fma.f32`
4 288×	`lower-*.f64`
4 288×	`lower-*.f32`
3 420×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	4348
1	723	3950
2	2347	3910
3	6568	3894
0	8265	3666

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2)))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/2 (/ (* (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) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/2 (/ (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) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/2 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/2 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))
2
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (pow x 2) 1)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/2 (/ (* (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) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/2 (/ (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) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/2 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/2 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2)))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/2 (/ (* (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) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/2 (/ (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) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/2 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/2 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/2 (/ (* (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) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/2 (/ (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) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/2 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/2 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2)))
-1/2
(- (* 1/2 (pow x 2)) 1/2)
(- (* 1/2 (pow x 2)) 1/2)
(- (* 1/2 (pow x 2)) 1/2)
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2))))
1/2
(+ 1/2 (* -1/2 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2)))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (pow x 2) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2)))
1/2
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4)))
(- (+ 1/2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (/ 1/2 (pow x 4)))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) (pow x 2)))) (sqrt 1/2))
(- (+ 1 (* 5/8 (/ (sqrt 1/2) (pow x 4)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(- (+ 1 (* -13/16 (/ (sqrt 1/2) (pow x 6)))) (+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (+ (* 1/2 (/ (sqrt 1/2) (pow x 2))) (* 13/16 (/ (sqrt 1/2) (pow x 6))))))
1
(+ 1 (/ 1 (pow x 2)))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 4)))
(- (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) (pow x 2)))) (sqrt 1/2))
(- (+ 1 (* 5/8 (/ (sqrt 1/2) (pow x 4)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(- (+ 1 (* -13/16 (/ (sqrt 1/2) (pow x 6)))) (+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (+ (* 1/2 (/ (sqrt 1/2) (pow x 2))) (* 13/16 (/ (sqrt 1/2) (pow x 6))))))
1/2
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4)))
(- (+ 1/2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (/ 1/2 (pow x 4)))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) (pow x 2)))) (sqrt 1/2))
(- (+ 1 (* 5/8 (/ (sqrt 1/2) (pow x 4)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(- (+ 1 (* -13/16 (/ (sqrt 1/2) (pow x 6)))) (+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (+ (* 1/2 (/ (sqrt 1/2) (pow x 2))) (* 13/16 (/ (sqrt 1/2) (pow x 6))))))
1/2
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4)))
(- (+ 1/2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (/ 1/2 (pow x 4)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) (pow x 2)))) (sqrt 1/2))
(- (+ 1 (* 5/8 (/ (sqrt 1/2) (pow x 4)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(- (+ 1 (* -13/16 (/ (sqrt 1/2) (pow x 6)))) (+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (+ (* 1/2 (/ (sqrt 1/2) (pow x 2))) (* 13/16 (/ (sqrt 1/2) (pow x 6))))))
1/2
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4)))
(- (+ 1/2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (/ 1/2 (pow x 4)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(- (+ (* -1 (/ (+ (* 1/4 (/ (- 1/2 (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (* (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))))) (pow x 6))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
1/2
(- 1/2 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/2 (/ 1/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/2 (/ 1/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))
(/ 1/2 (pow x 2))
(/ (- 1/2 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1/2 (/ 1/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1/2 (/ 1/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (pow x 4))
(* (pow x 4) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4)))
(- (+ 1/2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (/ 1/2 (pow x 4)))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) (pow x 2)))) (sqrt 1/2))
(- (+ 1 (* 5/8 (/ (sqrt 1/2) (pow x 4)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(- (+ 1 (* -13/16 (/ (sqrt 1/2) (pow x 6)))) (+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (+ (* 1/2 (/ (sqrt 1/2) (pow x 2))) (* 13/16 (/ (sqrt 1/2) (pow x 6))))))
1
(+ 1 (/ 1 (pow x 2)))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 4)))
(- (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) (pow x 2)))) (sqrt 1/2))
(- (+ 1 (* 5/8 (/ (sqrt 1/2) (pow x 4)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(- (+ 1 (* -13/16 (/ (sqrt 1/2) (pow x 6)))) (+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (+ (* 1/2 (/ (sqrt 1/2) (pow x 2))) (* 13/16 (/ (sqrt 1/2) (pow x 6))))))
1/2
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4)))
(- (+ 1/2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (/ 1/2 (pow x 4)))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) (pow x 2)))) (sqrt 1/2))
(- (+ 1 (* 5/8 (/ (sqrt 1/2) (pow x 4)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(- (+ 1 (* -13/16 (/ (sqrt 1/2) (pow x 6)))) (+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (+ (* 1/2 (/ (sqrt 1/2) (pow x 2))) (* 13/16 (/ (sqrt 1/2) (pow x 6))))))
1/2
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4)))
(- (+ 1/2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (/ 1/2 (pow x 4)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) (pow x 2)))) (sqrt 1/2))
(- (+ 1 (* 5/8 (/ (sqrt 1/2) (pow x 4)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(- (+ 1 (* -13/16 (/ (sqrt 1/2) (pow x 6)))) (+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (+ (* 1/2 (/ (sqrt 1/2) (pow x 2))) (* 13/16 (/ (sqrt 1/2) (pow x 6))))))
1/2
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4)))
(- (+ 1/2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (/ 1/2 (pow x 4)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(- (+ (* -1 (/ (+ (* 1/4 (/ (- 1/2 (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (* (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))))) (pow x 6))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
1/2
(- 1/2 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/2 (/ 1/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/2 (/ 1/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))
(/ 1/2 (pow x 2))
(/ (- 1/2 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1/2 (/ 1/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1/2 (/ 1/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (pow x 4))
(* (pow x 4) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(- (+ 1 (* 1/2 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.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) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/2 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal -7/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) x) x (neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/2 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal -7/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 25/32 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))) (.f64 x x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x) x (neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* -1/2 (/ (* (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 -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 7/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.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))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 7/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (.f64 #s(literal 25/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.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 (pow x 2)))
(-.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* (pow x 2) (- (pow x 2) 1)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))
(fma.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x) #s(literal 2 binary64))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(- (+ 1 (* 1/2 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.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) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/2 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal -7/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) x) x (neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/2 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal -7/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 25/32 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))) (.f64 x x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x) x (neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* -1/2 (/ (* (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 -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 7/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.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))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 7/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (.f64 #s(literal 25/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.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 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(- 1 (* (sqrt 1/2) (sqrt 2)))
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#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
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#s(literal 1 binary64)
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-1/2
#s(literal -1/2 binary64)
(- (* 1/2 (pow x 2)) 1/2)
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1/2
#s(literal 1/2 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
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(+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2)))
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(+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2)))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
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(sqrt 1/2)
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1
#s(literal 1 binary64)
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(sqrt 1/2)
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(sqrt 1/2)
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1
#s(literal 1 binary64)
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(sqrt 1/2)
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1/2
#s(literal 1/2 binary64)
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(sqrt 1/2)
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1/2
#s(literal 1/2 binary64)
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(sqrt 1/2)
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1/2
#s(literal 1/2 binary64)
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(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)))))
(- (+ (* -1 (/ (+ (* 1/4 (/ (- 1/2 (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (* (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))))) (pow x 6))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -5/32 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1/32 binary64) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 13/64 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 5/32 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/128 binary64) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/2 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(- (+ 1/2 (/ 1/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(- (+ 1/2 (/ 1/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ (- 1/2 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x)
(/ (- (+ 1/2 (/ 1/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 1/2 (/ 1/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/2 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (- (+ 1/2 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))

rewrite194.0ms (2.3%)

Memory

-0.6MiB live, 275.3MiB allocated

Rules

4 262×	`lower-*.f32`
4 258×	`lower-*.f64`
4 228×	`lower-/.f32`
4 222×	`lower-/.f64`
3 300×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	263
0	62	234
1	298	234
2	2046	234
0	8307	234

Stop Event

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

Counts

22 → 646

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 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 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (.f64 x x)))) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (.f64 x x)))) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
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(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) x)) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) x))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal -1 binary64))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) x))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) x))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) x)) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) x)) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) x))) (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) x))))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) x))

eval227.0ms (2.7%)

Memory: -20.1MiB live, 266.8MiB allocated
Compiler: Compiled 25 205 to 3 380 computations (86.6% saved)

prune29.0ms (0.3%)

Memory

1.5MiB live, 77.2MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	1 055	7	1 062
Fresh	4	0	4
Picked	3	2	5
Done	0	0	0
Total	1 062	9	1 071

Accuracy

99.9%

Counts

1 071 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))
▶	51.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
✓	52.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64))))
▶	53.0%	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	51.9%	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))))))
	49.1%	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
▶	50.4%	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x))
▶	49.0%	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
▶	50.4%	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))

Compiler

Compiled 332 to 187 computations (43.7% saved)

simplify372.0ms (4.5%)

Memory

12.4MiB live, 136.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
cost-diff	0	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x))
cost-diff	0	(fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
cost-diff	0	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 1/4 binary64) (.f64 x x))
cost-diff	0	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
cost-diff	0	(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))

Rules

6 092×	`lower-fma.f32`
6 086×	`lower-fma.f64`
2 408×	`lower-*.f32`
2 396×	`lower-*.f64`
2 314×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	313
0	60	313
1	105	307
2	160	307
3	301	307
4	557	307
5	923	307
6	1655	307
7	2487	307
8	3533	307
9	5629	307
10	6773	307
11	7084	307
12	7235	307
13	7306	307
14	7331	307
15	7405	307
16	7455	307
17	7466	307
18	7466	307
19	7467	307
20	7689	307
21	7777	307
22	7777	307
23	7777	307
24	7783	307
0	7783	296

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1 binary64)
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
#s(literal 1/4 binary64)
(*.f64 x x)
x
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64))
#s(literal -7/32 binary64)
(*.f64 x x)
x
#s(literal 1/4 binary64)
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64))
(fma.f64 #s(literal 25/128 binary64) (*.f64 x x) #s(literal -7/32 binary64))
#s(literal 25/128 binary64)
(*.f64 x x)
x
#s(literal -7/32 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
x

Outputs
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1 binary64)
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 x x)
x
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64))
#s(literal -7/32 binary64)
(*.f64 x x)
x
#s(literal 1/4 binary64)
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64))
(fma.f64 #s(literal 25/128 binary64) (*.f64 x x) #s(literal -7/32 binary64))
#s(literal 25/128 binary64)
(*.f64 x x)
x
#s(literal -7/32 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
x

localize180.0ms (2.2%)

Memory

3.4MiB live, 244.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
accuracy	0.5133799649095443	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy	14.922244012744287	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
accuracy	29.980910969615568	#s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
accuracy	0.02734375	(fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64))
accuracy	0.02734375	(.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
accuracy	0.07421875	(fma.f64 #s(literal 25/128 binary64) (*.f64 x x) #s(literal -7/32 binary64))
accuracy	31.709512893146144	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x))
accuracy	0.03125	(.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
accuracy	0.0390625	(.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
accuracy	0.05859375	(fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64))
accuracy	32.62160472489658	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(.f64 #s(literal 1/4 binary64) (.f64 x x))
accuracy	31.717048351535905	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
accuracy	0	(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	0	(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	0	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	30.072103799142333	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))

Samples

90.0ms	86×	2	valid
30.0ms	132×	0	valid
16.0ms	38×	1	valid

Compiler

Compiled 277 to 39 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-add: 47.0ms (43.4% of total)

ival-mult: 16.0ms (14.8% of total)

adjust: 14.0ms (12.9% of total)

ival-div: 14.0ms (12.9% of total)

ival-sqrt: 12.0ms (11.1% of total)

ival-sub: 4.0ms (3.7% of total)

exact: 1.0ms (0.9% of total)

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

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

series25.0ms (0.3%)

Memory

9.3MiB live, 45.7MiB allocated

Counts

21 → 216

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (sqrt.f64 #s(literal 1/2 binary64)) (patch (sqrt.f64 #s(literal 1/2 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal 1/4 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/4 binary64) (.f64 x x)) #<representation:binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())
#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x) x)) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ ( 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x) x) #<representation:binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x) (patch (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x) #<representation:binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) #<representation:binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (patch (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) #<representation:binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/2 binary64))))) (patch (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (patch (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) #<representation:binary64>) () ())
#s(alt #s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (patch #s(approx ( 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) #<representation:binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (patch (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (patch (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation:binary64>) () ())

Outputs
#s(alt (* 1/4 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/4 (* -7/32 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32)))) (taylor 0 x) (#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32)))) (taylor 0 x) (#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/4 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/4 (* -7/32 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32)))) (taylor 0 x) (#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32)))) (taylor 0 x) (#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) #<representation:binary64>) () ())) ())
#s(alt (* 1/4 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 1/4 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/4 binary64) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* 1/4 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 1/4 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/4 binary64) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* 1/4 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 1/4 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/4 binary64) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* 1/4 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 1/4 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/4 binary64) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

10.0ms

((/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/ 1/2 (+ (sqrt 1/2) 1)) (+ (sqrt 1/2) 1) (sqrt 1/2) (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (* 1/4 (* x x)) (* x x) (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (* (* (+ (* -7/32 (* x x)) 1/4) x) x) (* (+ (* -7/32 (* x x)) 1/4) x) (+ (* -7/32 (* x x)) 1/4) (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (* (* (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) x) x) (* (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) x) (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))))) (sqrt (* 1/2 (+ 1 (/ 1 (+ (* x x) 1))))) (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+ (/ 1/2 (* x x)) 1/2) (+ (* 25/128 (* x x)) -7/32) (/ 1/2 (* x x)))

3.0ms

inf

((/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/ 1/2 (+ (sqrt 1/2) 1)) (+ (sqrt 1/2) 1) (sqrt 1/2) (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (* 1/4 (* x x)) (* x x) (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (* (* (+ (* -7/32 (* x x)) 1/4) x) x) (* (+ (* -7/32 (* x x)) 1/4) x) (+ (* -7/32 (* x x)) 1/4) (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (* (* (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) x) x) (* (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) x) (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))))) (sqrt (* 1/2 (+ 1 (/ 1 (+ (* x x) 1))))) (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+ (/ 1/2 (* x x)) 1/2) (+ (* 25/128 (* x x)) -7/32) (/ 1/2 (* x x)))

2.0ms

-inf

((/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/ 1/2 (+ (sqrt 1/2) 1)) (+ (sqrt 1/2) 1) (sqrt 1/2) (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (* 1/4 (* x x)) (* x x) (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (* (* (+ (* -7/32 (* x x)) 1/4) x) x) (* (+ (* -7/32 (* x x)) 1/4) x) (+ (* -7/32 (* x x)) 1/4) (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (* (* (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) x) x) (* (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) x) (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))))) (sqrt (* 1/2 (+ 1 (/ 1 (+ (* x x) 1))))) (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+ (/ 1/2 (* x x)) 1/2) (+ (* 25/128 (* x x)) -7/32) (/ 1/2 (* x x)))

simplify224.0ms (2.7%)

Memory

-10.2MiB live, 337.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 964×	`lower-fma.f64`
10 964×	`lower-fma.f32`
4 478×	`lower-*.f64`
4 478×	`lower-*.f32`
3 230×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	5028
1	691	4412
2	2264	4314
3	6235	4314
0	8471	4178

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32))))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(* 1/4 x)
(* x (+ 1/4 (* -7/32 (pow x 2))))
(* x (+ 1/4 (* -7/32 (pow x 2))))
(* x (+ 1/4 (* -7/32 (pow x 2))))
1/4
(+ 1/4 (* -7/32 (pow x 2)))
(+ 1/4 (* -7/32 (pow x 2)))
(+ 1/4 (* -7/32 (pow x 2)))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(* 1/4 x)
(* x (+ 1/4 (* -7/32 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(* x (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
1/4
(+ 1/4 (* -7/32 (pow x 2)))
(+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32)))
(+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32)))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/2 (/ (* (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) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/2 (/ (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) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/2 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/2 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2)))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 1/2 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 1/2 (* 1/2 (pow x 2))) (pow x 2))
-7/32
(- (* 25/128 (pow x 2)) 7/32)
(- (* 25/128 (pow x 2)) 7/32)
(- (* 25/128 (pow x 2)) 7/32)
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(- (+ (* -1 (/ (+ (* 1/4 (/ (- 1/2 (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (* (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))))) (pow x 6))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(- (+ (* -1 (/ (+ (* 1/4 (/ (- 1/2 (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (* (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))))) (pow x 6))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(- (+ (* -1 (/ (+ (* 1/4 (/ (- 1/2 (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (* (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))))) (pow x 6))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(* -7/32 (pow x 4))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* -7/32 (pow x 3))
(* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* -7/32 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(- (+ (* -1 (/ (+ (* 1/4 (/ (- 1/2 (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (* (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))))) (pow x 6))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(* 25/128 (pow x 6))
(* (pow x 6) (- 25/128 (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 25/128 (/ 1/4 (pow x 4))) (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 25/128 (/ 1/4 (pow x 4))) (* 7/32 (/ 1 (pow x 2)))))
(* 25/128 (pow x 5))
(* (pow x 5) (- 25/128 (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 25/128 (/ 1/4 (pow x 4))) (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 25/128 (/ 1/4 (pow x 4))) (* 7/32 (/ 1 (pow x 2)))))
(* 25/128 (pow x 4))
(* (pow x 4) (- 25/128 (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 25/128 (/ 1/4 (pow x 4))) (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 25/128 (/ 1/4 (pow x 4))) (* 7/32 (/ 1 (pow x 2)))))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) (pow x 2)))) (sqrt 1/2))
(- (+ 1 (* 5/8 (/ (sqrt 1/2) (pow x 4)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(- (+ 1 (* -13/16 (/ (sqrt 1/2) (pow x 6)))) (+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (+ (* 1/2 (/ (sqrt 1/2) (pow x 2))) (* 13/16 (/ (sqrt 1/2) (pow x 6))))))
1/2
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4)))
(- (+ 1/2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (/ 1/2 (pow x 4)))
1/2
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(* 25/128 (pow x 2))
(* (pow x 2) (- 25/128 (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 2) (- 25/128 (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 2) (- 25/128 (* 7/32 (/ 1 (pow x 2)))))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(- (+ (* -1 (/ (+ (* 1/4 (/ (- 1/2 (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (* (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))))) (pow x 6))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(- (+ (* -1 (/ (+ (* 1/4 (/ (- 1/2 (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (* (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))))) (pow x 6))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(- (+ (* -1 (/ (+ (* 1/4 (/ (- 1/2 (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (* (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))))) (pow x 6))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(* -7/32 (pow x 4))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* -7/32 (pow x 3))
(* -1 (* (pow x 3) (- 7/32 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 7/32 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 7/32 (* 1/4 (/ 1 (pow x 2))))))
(* -7/32 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(- (+ (* -1 (/ (+ (* 1/4 (/ (- 1/2 (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (* (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))))) (pow x 6))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(* 25/128 (pow x 6))
(* (pow x 6) (- 25/128 (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 25/128 (/ 1/4 (pow x 4))) (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 25/128 (/ 1/4 (pow x 4))) (* 7/32 (/ 1 (pow x 2)))))
(* 25/128 (pow x 5))
(* -1 (* (pow x 5) (- (* 7/32 (/ 1 (pow x 2))) 25/128)))
(* -1 (* (pow x 5) (- (* 7/32 (/ 1 (pow x 2))) (+ 25/128 (/ 1/4 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 7/32 (/ 1 (pow x 2))) (+ 25/128 (/ 1/4 (pow x 4))))))
(* 25/128 (pow x 4))
(* (pow x 4) (- 25/128 (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 25/128 (/ 1/4 (pow x 4))) (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 25/128 (/ 1/4 (pow x 4))) (* 7/32 (/ 1 (pow x 2)))))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) (pow x 2)))) (sqrt 1/2))
(- (+ 1 (* 5/8 (/ (sqrt 1/2) (pow x 4)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(- (+ 1 (* -13/16 (/ (sqrt 1/2) (pow x 6)))) (+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) (pow x 2))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2)))))
(+ (sqrt 1/2) (+ (* -5/8 (/ (sqrt 1/2) (pow x 4))) (+ (* 1/2 (/ (sqrt 1/2) (pow x 2))) (* 13/16 (/ (sqrt 1/2) (pow x 6))))))
1/2
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4)))
(- (+ 1/2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (/ 1/2 (pow x 4)))
1/2
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(* 25/128 (pow x 2))
(* (pow x 2) (- 25/128 (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 2) (- 25/128 (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 2) (- 25/128 (* 7/32 (/ 1 (pow x 2)))))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))

Outputs
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* x (+ 1/4 (* -7/32 (pow x 2))))
(.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* -7/32 (pow x 2))))
(.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* -7/32 (pow x 2))))
(.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -7/32 (pow x 2)))
(fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(+ 1/4 (* -7/32 (pow x 2)))
(fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(+ 1/4 (* -7/32 (pow x 2)))
(fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* x (+ 1/4 (* -7/32 (pow x 2))))
(.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -7/32 (pow x 2)))
(fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32)))
(fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64))
(+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32)))
(fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(- (+ 1 (* 1/2 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.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) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/2 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal -7/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) x) x (neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/2 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -7/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 25/32 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))) (.f64 x x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x) x (neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* -1/2 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 #s(literal -1/2 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) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 7/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.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))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 1 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))
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(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(* 25/128 (pow x 2))
(.f64 #s(literal 25/128 binary64) (.f64 x x))
(* (pow x 2) (- 25/128 (* 7/32 (/ 1 (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 25/128 binary64) (/.f64 #s(literal 7/32 binary64) (*.f64 x x))) x) x)
(* (pow x 2) (- 25/128 (* 7/32 (/ 1 (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 25/128 binary64) (/.f64 #s(literal 7/32 binary64) (*.f64 x x))) x) x)
(* (pow x 2) (- 25/128 (* 7/32 (/ 1 (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 25/128 binary64) (/.f64 #s(literal 7/32 binary64) (*.f64 x x))) x) x)
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))

rewrite263.0ms (3.2%)

Memory

28.4MiB live, 296.4MiB allocated

Rules

4 486×	`lower-/.f32`
4 482×	`lower-/.f64`
4 448×	`lower-*.f32`
4 436×	`lower-*.f64`
2 674×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	290
0	60	284
1	277	280
2	2079	280
0	8268	265

Stop Event

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

Counts

21 → 322

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(*.f64 x x)
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 25/128 binary64) (*.f64 x x) #s(literal -7/32 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))

Outputs
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(neg.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) x) x)
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/4 binary64) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)))
(.f64 x (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 49/1024 binary64) #s(literal -1/16 binary64)) (.f64 x x))) (neg.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -343/32768 binary64) #s(literal 1/64 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 49/1024 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) #s(literal -7/128 binary64))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 49/1024 binary64) #s(literal -1/16 binary64)) (.f64 x x)) (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal -1/4 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -343/32768 binary64) #s(literal 1/64 binary64)) (.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 49/1024 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) #s(literal -7/128 binary64)))))
(.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(.f64 x (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 49/1024 binary64) #s(literal -1/16 binary64)) x)) (neg.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -343/32768 binary64) #s(literal 1/64 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 49/1024 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 x x) #s(literal -7/128 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 49/1024 binary64) #s(literal -1/16 binary64)))) (neg.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -343/32768 binary64) #s(literal 1/64 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 49/1024 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 x x) #s(literal -7/128 binary64))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 49/1024 binary64) #s(literal -1/16 binary64)) x) (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal -1/4 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -343/32768 binary64) #s(literal 1/64 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 49/1024 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 x x) #s(literal -7/128 binary64)))))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 49/1024 binary64) #s(literal -1/16 binary64))) (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal -1/4 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -343/32768 binary64) #s(literal 1/64 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 49/1024 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 x x) #s(literal -7/128 binary64)))))
(fma.f64 (.f64 #s(literal -7/32 binary64) (.f64 x x)) x (*.f64 #s(literal 1/4 binary64) x))
(fma.f64 #s(literal 1/4 binary64) x (.f64 (.f64 #s(literal -7/32 binary64) (*.f64 x x)) x))
(fma.f64 #s(literal 1/4 binary64) x (.f64 x (.f64 #s(literal -7/32 binary64) (*.f64 x x))))
(fma.f64 x (.f64 #s(literal -7/32 binary64) (.f64 x x)) (*.f64 #s(literal 1/4 binary64) x))
(fma.f64 x #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -7/32 binary64) (*.f64 x x)) x))
(fma.f64 x #s(literal 1/4 binary64) (.f64 x (.f64 #s(literal -7/32 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal -7/32 binary64) (.f64 x x)) x) (.f64 #s(literal 1/4 binary64) x))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 25/128 binary64) (*.f64 x x) #s(literal 7/32 binary64)) (fma.f64 #s(literal 625/16384 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -49/1024 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 625/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 49/1024 binary64) (.f64 (.f64 x x) #s(literal -175/4096 binary64)))) (fma.f64 #s(literal 15625/2097152 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -343/32768 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 25/128 binary64) (*.f64 x x) #s(literal 7/32 binary64)) (fma.f64 #s(literal 625/16384 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -49/1024 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 625/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 49/1024 binary64) (.f64 (.f64 x x) #s(literal -175/4096 binary64)))) (fma.f64 #s(literal 15625/2097152 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -343/32768 binary64))))
(fma.f64 (*.f64 #s(literal 25/128 binary64) x) x #s(literal -7/32 binary64))
(fma.f64 #s(literal 25/128 binary64) (*.f64 x x) #s(literal -7/32 binary64))
(fma.f64 (*.f64 x x) #s(literal 25/128 binary64) #s(literal -7/32 binary64))
(fma.f64 x (*.f64 #s(literal 25/128 binary64) x) #s(literal -7/32 binary64))
(-.f64 (/.f64 #s(literal 49/1024 binary64) (-.f64 #s(literal -7/32 binary64) (.f64 #s(literal 25/128 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 625/16384 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -7/32 binary64) (.f64 #s(literal 25/128 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 625/16384 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal 7/32 binary64))) (/.f64 #s(literal 49/1024 binary64) (fma.f64 #s(literal 25/128 binary64) (*.f64 x x) #s(literal 7/32 binary64))))
(+.f64 (.f64 #s(literal 25/128 binary64) (.f64 x x)) #s(literal -7/32 binary64))
(+.f64 #s(literal -7/32 binary64) (.f64 #s(literal 25/128 binary64) (.f64 x x)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 2 binary64))) #s(literal -1 binary64)))

eval93.0ms (1.1%)

Memory: 9.5MiB live, 195.2MiB allocated
Compiler: Compiled 12 642 to 1 885 computations (85.1% saved)

prune173.0ms (2.1%)

Memory

-6.7MiB live, 231.1MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	623	3	626
Fresh	1	1	2
Picked	1	4	5
Done	0	2	2
Total	625	10	635

Accuracy

100.0%

Counts

635 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))
✓	51.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
✓	52.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64))))
✓	53.0%	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
▶	51.9%	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))))))
▶	49.0%	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
▶	49.1%	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
✓	50.4%	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x))
✓	49.0%	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
▶	50.4%	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))

Compiler

Compiled 187 to 110 computations (41.2% saved)

simplify393.0ms (4.7%)

Memory

-26.3MiB live, 273.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)))))
cost-diff	0	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))))))
cost-diff	6400	(/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))
cost-diff	7808	(fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
cost-diff	0	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
cost-diff	0	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
cost-diff	0	#s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x)
cost-diff	0	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))

Rules

26 056×	`lower-fma.f32`
26 044×	`lower-fma.f64`
4 156×	`lower-*.f32`
4 140×	`lower-*.f64`
4 034×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	783
0	111	783
1	196	783
2	423	783
3	1265	766
4	4282	762
0	8459	747

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x)
#s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
x
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64))
(fma.f64 #s(literal -363/2048 binary64) (*.f64 x x) #s(literal 25/128 binary64))
#s(literal -363/2048 binary64)
(*.f64 x x)
x
#s(literal 25/128 binary64)
#s(literal -7/32 binary64)
#s(literal 1/4 binary64)
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
(fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64))
#s(literal -7/32 binary64)
(*.f64 x x)
x
#s(literal 1/4 binary64)
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))))))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)))))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/2 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))))
(/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal -1/4 binary64)
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
#s(literal 1/8 binary64)
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(literal 5/8 binary64)
(pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x)
(/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)
(/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))
(/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)

Outputs
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x)
#s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
x
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -363/2048 binary64) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -363/2048 binary64) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -363/2048 binary64) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -363/2048 binary64) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -363/2048 binary64) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64))
(fma.f64 #s(literal -363/2048 binary64) (*.f64 x x) #s(literal 25/128 binary64))
(fma.f64 (*.f64 x x) #s(literal -363/2048 binary64) #s(literal 25/128 binary64))
#s(literal -363/2048 binary64)
(*.f64 x x)
x
#s(literal 25/128 binary64)
#s(literal -7/32 binary64)
#s(literal 1/4 binary64)
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -7/32 binary64) #s(literal 1/4 binary64)) x) x))
(.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -7/32 binary64) #s(literal 1/4 binary64)) x) x)
(fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(fma.f64 (*.f64 x x) #s(literal -7/32 binary64) #s(literal 1/4 binary64))
#s(literal -7/32 binary64)
(*.f64 x x)
x
#s(literal 1/4 binary64)
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))))))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -5/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x)))))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)))))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -5/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x))))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/2 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))))
(fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -5/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x)))
(/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal -1/4 binary64)
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
#s(literal 1/8 binary64)
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(literal 5/8 binary64)
(pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)))
(+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x)
(/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)
(/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))
(/.f64 (/.f64 #s(literal 1/8 binary64) x) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)))
(/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)

localize405.0ms (4.9%)

Memory

-3.0MiB live, 276.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	1.0	(/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	1.0	(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy	15.808463707302993	(fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))))
accuracy	30.538628399362572	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))))))
accuracy	0	(*.f64 x x)
accuracy	0.05859375	(fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64))
accuracy	0.05859375	(.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
accuracy	32.62160472489658	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
accuracy	0.0234375	(fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
accuracy	0.03515625	(fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64))
accuracy	0.0390625	(fma.f64 #s(literal -363/2048 binary64) (*.f64 x x) #s(literal 25/128 binary64))
accuracy	32.553177437546594	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
accuracy	0.015625	(.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x)
accuracy	0.02734375	(.f64 #s(approx (+ ( (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x)
accuracy	31.709512893146144	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
accuracy	31.909787236414193	#s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64))

Samples

176.0ms	85×	2	valid
78.0ms	35×	1	valid
49.0ms	136×	0	valid

Compiler

Compiled 680 to 68 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 225.0ms

adjust: 76.0ms (33.8% of total)

ival-div: 69.0ms (30.6% of total)

ival-add: 24.0ms (10.7% of total)

ival-mult: 23.0ms (10.2% of total)

ival-pow: 19.0ms (8.4% of total)

ival-sqrt: 6.0ms (2.7% of total)

ival-sub: 4.0ms (1.8% of total)

ival-pow2: 3.0ms (1.3% of total)

exact: 1.0ms (0.4% of total)

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

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

series41.0ms (0.5%)

Memory

7.0MiB live, 43.9MiB allocated

Counts

20 → 216

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x)) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x) #<representation:binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) (patch #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ ( 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x) #<representation:binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) #<representation:binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x))) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ ( 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #<representation:binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x)) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) #<representation:binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)))) (patch (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)))) #<representation:binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)) (patch (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)))))) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)))))) #<representation:binary64>) () ())
#s(alt (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))))) (patch (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))))) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (patch (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) #<representation:binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (patch (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) #<representation:binary64>) () ())
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Outputs
#s(alt (* 1/4 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x)) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/4 (* -7/32 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x)) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32)))) (taylor 0 x) (#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x)) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32)))) (taylor 0 x) (#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x)) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x)) #<representation:binary64>) () ())) ())
#s(alt (* 1/4 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/4 (* -7/32 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32)))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32)))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/4 x) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1/4 (* -7/32 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32)))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32)))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt 1/4 (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) (patch #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/4 (* -7/32 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) (patch #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) (patch #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) (patch #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 1/4 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ ( 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/4 (* -7/32 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ ( 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32)))) (taylor 0 x) (#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ ( 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32)))) (taylor 0 x) (#s(alt #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)) (patch #s(approx (/ (- 1/2 (/ 1/2 (+ ( 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #<representation:binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

9.0ms

((/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (* (* (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) x) x) (* (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) x) (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (* (* (+ (* (+ (* (+ (* -363/2048 (* x x)) 25/128) (* x x)) -7/32) (* x x)) 1/4) x) x) (* (+ (* (+ (* (+ (* -363/2048 (* x x)) 25/128) (* x x)) -7/32) (* x x)) 1/4) x) (+ (* (+ (* (+ (* -363/2048 (* x x)) 25/128) (* x x)) -7/32) (* x x)) 1/4) (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (* (+ (* -7/32 (* x x)) 1/4) (* x x)) (+ (* -7/32 (* x x)) 1/4) (* x x) (+ (* (/ (/ -1/4 (sqrt 1/2)) (pow x 4)) (+ (/ (+ (/ 1/2 (+ (sqrt 1/2) 1)) (/ (/ 1/8 (+ (sqrt 1/2) 1/2)) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) (/ 5/8 (pow (+ (sqrt 1/2) 1) 2)))) (+ (/ (/ 1/2 (+ (* (sqrt 1/2) x) x)) x) (/ (/ 1/8 (pow (+ (sqrt 1/2) 1) 2)) (* (* (sqrt 1/2) x) x)))) (/ (/ 1/8 (pow (+ (sqrt 1/2) 1) 2)) (* (* (sqrt 1/2) x) x)) (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (- (+ (/ (/ 1/2 (pow x 4)) (+ (sqrt 1/2) 1)) (/ 1/2 (+ (sqrt 1/2) 1))) (+ (* (/ (/ -1/4 (sqrt 1/2)) (pow x 4)) (+ (/ (+ (/ 1/2 (+ (sqrt 1/2) 1)) (/ (/ 1/8 (+ (sqrt 1/2) 1/2)) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) (/ 5/8 (pow (+ (sqrt 1/2) 1) 2)))) (+ (/ (/ 1/2 (+ (* (sqrt 1/2) x) x)) x) (/ (/ 1/8 (pow (+ (sqrt 1/2) 1) 2)) (* (* (sqrt 1/2) x) x))))) (+ (* -363/2048 (* x x)) 25/128) (+ (* (+ (* -363/2048 (* x x)) 25/128) (* x x)) -7/32) (+ (/ (+ (/ 1/2 (+ (sqrt 1/2) 1)) (/ (/ 1/8 (+ (sqrt 1/2) 1/2)) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) (/ 5/8 (pow (+ (sqrt 1/2) 1) 2))) (/ -1/4 (sqrt 1/2)))

5.0ms

inf

((/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (* (* (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) x) x) (* (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) x) (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (* (* (+ (* (+ (* (+ (* -363/2048 (* x x)) 25/128) (* x x)) -7/32) (* x x)) 1/4) x) x) (* (+ (* (+ (* (+ (* -363/2048 (* x x)) 25/128) (* x x)) -7/32) (* x x)) 1/4) x) (+ (* (+ (* (+ (* -363/2048 (* x x)) 25/128) (* x x)) -7/32) (* x x)) 1/4) (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (* (+ (* -7/32 (* x x)) 1/4) (* x x)) (+ (* -7/32 (* x x)) 1/4) (* x x) (+ (* (/ (/ -1/4 (sqrt 1/2)) (pow x 4)) (+ (/ (+ (/ 1/2 (+ (sqrt 1/2) 1)) (/ (/ 1/8 (+ (sqrt 1/2) 1/2)) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) (/ 5/8 (pow (+ (sqrt 1/2) 1) 2)))) (+ (/ (/ 1/2 (+ (* (sqrt 1/2) x) x)) x) (/ (/ 1/8 (pow (+ (sqrt 1/2) 1) 2)) (* (* (sqrt 1/2) x) x)))) (/ (/ 1/8 (pow (+ (sqrt 1/2) 1) 2)) (* (* (sqrt 1/2) x) x)) (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (- (+ (/ (/ 1/2 (pow x 4)) (+ (sqrt 1/2) 1)) (/ 1/2 (+ (sqrt 1/2) 1))) (+ (* (/ (/ -1/4 (sqrt 1/2)) (pow x 4)) (+ (/ (+ (/ 1/2 (+ (sqrt 1/2) 1)) (/ (/ 1/8 (+ (sqrt 1/2) 1/2)) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) (/ 5/8 (pow (+ (sqrt 1/2) 1) 2)))) (+ (/ (/ 1/2 (+ (* (sqrt 1/2) x) x)) x) (/ (/ 1/8 (pow (+ (sqrt 1/2) 1) 2)) (* (* (sqrt 1/2) x) x))))) (+ (* -363/2048 (* x x)) 25/128) (+ (* (+ (* -363/2048 (* x x)) 25/128) (* x x)) -7/32) (+ (/ (+ (/ 1/2 (+ (sqrt 1/2) 1)) (/ (/ 1/8 (+ (sqrt 1/2) 1/2)) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) (/ 5/8 (pow (+ (sqrt 1/2) 1) 2))) (/ -1/4 (sqrt 1/2)))

5.0ms

-inf

((/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (* (* (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) x) x) (* (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) x) (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (* (* (+ (* (+ (* (+ (* -363/2048 (* x x)) 25/128) (* x x)) -7/32) (* x x)) 1/4) x) x) (* (+ (* (+ (* (+ (* -363/2048 (* x x)) 25/128) (* x x)) -7/32) (* x x)) 1/4) x) (+ (* (+ (* (+ (* -363/2048 (* x x)) 25/128) (* x x)) -7/32) (* x x)) 1/4) (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (* (+ (* -7/32 (* x x)) 1/4) (* x x)) (+ (* -7/32 (* x x)) 1/4) (* x x) (+ (* (/ (/ -1/4 (sqrt 1/2)) (pow x 4)) (+ (/ (+ (/ 1/2 (+ (sqrt 1/2) 1)) (/ (/ 1/8 (+ (sqrt 1/2) 1/2)) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) (/ 5/8 (pow (+ (sqrt 1/2) 1) 2)))) (+ (/ (/ 1/2 (+ (* (sqrt 1/2) x) x)) x) (/ (/ 1/8 (pow (+ (sqrt 1/2) 1) 2)) (* (* (sqrt 1/2) x) x)))) (/ (/ 1/8 (pow (+ (sqrt 1/2) 1) 2)) (* (* (sqrt 1/2) x) x)) (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (- (+ (/ (/ 1/2 (pow x 4)) (+ (sqrt 1/2) 1)) (/ 1/2 (+ (sqrt 1/2) 1))) (+ (* (/ (/ -1/4 (sqrt 1/2)) (pow x 4)) (+ (/ (+ (/ 1/2 (+ (sqrt 1/2) 1)) (/ (/ 1/8 (+ (sqrt 1/2) 1/2)) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) (/ 5/8 (pow (+ (sqrt 1/2) 1) 2)))) (+ (/ (/ 1/2 (+ (* (sqrt 1/2) x) x)) x) (/ (/ 1/8 (pow (+ (sqrt 1/2) 1) 2)) (* (* (sqrt 1/2) x) x))))) (+ (* -363/2048 (* x x)) 25/128) (+ (* (+ (* -363/2048 (* x x)) 25/128) (* x x)) -7/32) (+ (/ (+ (/ 1/2 (+ (sqrt 1/2) 1)) (/ (/ 1/8 (+ (sqrt 1/2) 1/2)) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) (/ 5/8 (pow (+ (sqrt 1/2) 1) 2))) (/ -1/4 (sqrt 1/2)))

simplify261.0ms (3.1%)

Memory

26.3MiB live, 187.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 276×	`lower-fma.f64`
12 276×	`lower-fma.f32`
4 524×	`lower-*.f64`
4 524×	`lower-*.f32`
3 506×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	6052
1	639	5481
2	2108	5215
3	7574	5179
0	8405	5062

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(* 1/4 x)
(* x (+ 1/4 (* -7/32 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(* x (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
1/4
(+ 1/4 (* -7/32 (pow x 2)))
(+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32)))
(+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32)))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32))))
(* 1/4 x)
(* x (+ 1/4 (* -7/32 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(* x (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32))))
1/4
(+ 1/4 (* -7/32 (pow x 2)))
(+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32)))
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32)))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
1/4
(+ 1/4 (* -7/32 (pow x 2)))
(+ 1/4 (* -7/32 (pow x 2)))
(+ 1/4 (* -7/32 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/4 (/ (+ (* 1/8 (/ 1 (* (+ 1/2 (sqrt 1/2)) (pow (+ 1 (sqrt 1/2)) 2)))) (* 9/8 (/ 1 (pow (+ 1 (sqrt 1/2)) 2)))) (* (pow x 4) (sqrt 1/2))))
(/ (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (+ 1/2 (sqrt 1/2)) (pow (+ 1 (sqrt 1/2)) 2)))) (* 9/8 (/ 1 (pow (+ 1 (sqrt 1/2)) 2)))) (sqrt 1/2))) (* (pow x 2) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) (pow x 4))
(/ (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (+ 1/2 (sqrt 1/2)) (pow (+ 1 (sqrt 1/2)) 2)))) (* 9/8 (/ 1 (pow (+ 1 (sqrt 1/2)) 2)))) (sqrt 1/2))) (* (pow x 2) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) (pow x 4))
(/ (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (+ 1/2 (sqrt 1/2)) (pow (+ 1 (sqrt 1/2)) 2)))) (* 9/8 (/ 1 (pow (+ 1 (sqrt 1/2)) 2)))) (sqrt 1/2))) (* (pow x 2) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) (pow x 4))
(/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))
(/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))
(/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))
(/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32))))
(/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (+ 1/2 (sqrt 1/2)) (pow (+ 1 (sqrt 1/2)) 2)))) (* 9/8 (/ 1 (pow (+ 1 (sqrt 1/2)) 2)))) (sqrt 1/2)))) (pow x 4))
(/ (- (+ (* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (+ 1/2 (sqrt 1/2)) (pow (+ 1 (sqrt 1/2)) 2)))) (* 9/8 (/ 1 (pow (+ 1 (sqrt 1/2)) 2)))) (sqrt 1/2)))) (pow x 4))
(/ (- (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* (pow x 2) (- (* 1/2 (/ (pow x 2) (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (+ 1/2 (sqrt 1/2)) (pow (+ 1 (sqrt 1/2)) 2)))) (* 9/8 (/ 1 (pow (+ 1 (sqrt 1/2)) 2)))) (sqrt 1/2)))) (pow x 4))
(/ (- (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* (pow x 2) (- (* 1/2 (/ (pow x 2) (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (+ 1/2 (sqrt 1/2)) (pow (+ 1 (sqrt 1/2)) 2)))) (* 9/8 (/ 1 (pow (+ 1 (sqrt 1/2)) 2)))) (sqrt 1/2)))) (pow x 4))
25/128
(+ 25/128 (* -363/2048 (pow x 2)))
(+ 25/128 (* -363/2048 (pow x 2)))
(+ 25/128 (* -363/2048 (pow x 2)))
-7/32
(- (* 25/128 (pow x 2)) 7/32)
(- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32)
(- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32)
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(- (+ (* -1 (/ (+ (* 1/4 (/ (- 1/2 (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (* (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))))) (pow x 6))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(* 25/128 (pow x 6))
(* (pow x 6) (- 25/128 (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 25/128 (/ 1/4 (pow x 4))) (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 25/128 (/ 1/4 (pow x 4))) (* 7/32 (/ 1 (pow x 2)))))
(* 25/128 (pow x 5))
(* (pow x 5) (- 25/128 (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 25/128 (/ 1/4 (pow x 4))) (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 25/128 (/ 1/4 (pow x 4))) (* 7/32 (/ 1 (pow x 2)))))
(* 25/128 (pow x 4))
(* (pow x 4) (- 25/128 (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 25/128 (/ 1/4 (pow x 4))) (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 25/128 (/ 1/4 (pow x 4))) (* 7/32 (/ 1 (pow x 2)))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(- (+ (* -1 (/ (+ (* 1/4 (/ (- 1/2 (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (* (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))))) (pow x 6))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(* -363/2048 (pow x 8))
(* (pow x 8) (- (* 25/128 (/ 1 (pow x 2))) 363/2048))
(* (pow x 8) (- (* 25/128 (/ 1 (pow x 2))) (+ 363/2048 (/ 7/32 (pow x 4)))))
(* (pow x 8) (- (+ (* 25/128 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (+ 363/2048 (/ 7/32 (pow x 4)))))
(* -363/2048 (pow x 7))
(* (pow x 7) (- (* 25/128 (/ 1 (pow x 2))) 363/2048))
(* (pow x 7) (- (* 25/128 (/ 1 (pow x 2))) (+ 363/2048 (/ 7/32 (pow x 4)))))
(* (pow x 7) (- (+ (* 25/128 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (+ 363/2048 (/ 7/32 (pow x 4)))))
(* -363/2048 (pow x 6))
(* (pow x 6) (- (* 25/128 (/ 1 (pow x 2))) 363/2048))
(* (pow x 6) (- (* 25/128 (/ 1 (pow x 2))) (+ 363/2048 (/ 7/32 (pow x 4)))))
(* (pow x 6) (- (+ (* 25/128 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (+ 363/2048 (/ 7/32 (pow x 4)))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(- (+ (* -1 (/ (+ (* 1/4 (/ (- 1/2 (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (* (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))))) (pow x 6))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(* -7/32 (pow x 4))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* -7/32 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 2))
(/ (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (+ 1/2 (sqrt 1/2)) (pow (+ 1 (sqrt 1/2)) 2)))) (* 9/8 (/ 1 (pow (+ 1 (sqrt 1/2)) 2)))) (* (pow x 2) (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (pow x 2))
(/ (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (+ 1/2 (sqrt 1/2)) (pow (+ 1 (sqrt 1/2)) 2)))) (* 9/8 (/ 1 (pow (+ 1 (sqrt 1/2)) 2)))) (* (pow x 2) (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (pow x 2))
(/ (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (+ 1/2 (sqrt 1/2)) (pow (+ 1 (sqrt 1/2)) 2)))) (* 9/8 (/ 1 (pow (+ 1 (sqrt 1/2)) 2)))) (* (pow x 2) (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (pow x 2))
(/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))
(/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))
(/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))
(/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(- (+ (* -1 (/ (+ (* 1/4 (/ (- 1/2 (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (* (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))))) (pow x 6))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (+ 1/2 (sqrt 1/2)) (pow (+ 1 (sqrt 1/2)) 2)))) (* 9/8 (/ 1 (pow (+ 1 (sqrt 1/2)) 2)))) (* (pow x 4) (sqrt 1/2)))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2)))))))
(- (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (+ 1/2 (sqrt 1/2)) (pow (+ 1 (sqrt 1/2)) 2)))) (* 9/8 (/ 1 (pow (+ 1 (sqrt 1/2)) 2)))) (* (pow x 4) (sqrt 1/2)))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2)))))))
(* -363/2048 (pow x 2))
(* (pow x 2) (- (* 25/128 (/ 1 (pow x 2))) 363/2048))
(* (pow x 2) (- (* 25/128 (/ 1 (pow x 2))) 363/2048))
(* (pow x 2) (- (* 25/128 (/ 1 (pow x 2))) 363/2048))
(* -363/2048 (pow x 4))
(* (pow x 4) (- (* 25/128 (/ 1 (pow x 2))) 363/2048))
(* (pow x 4) (- (* 25/128 (/ 1 (pow x 2))) (+ 363/2048 (/ 7/32 (pow x 4)))))
(* (pow x 4) (- (* 25/128 (/ 1 (pow x 2))) (+ 363/2048 (/ 7/32 (pow x 4)))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(- (+ (* -1 (/ (+ (* 1/4 (/ (- 1/2 (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (* (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))))) (pow x 6))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(* 25/128 (pow x 6))
(* (pow x 6) (- 25/128 (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 25/128 (/ 1/4 (pow x 4))) (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 25/128 (/ 1/4 (pow x 4))) (* 7/32 (/ 1 (pow x 2)))))
(* 25/128 (pow x 5))
(* -1 (* (pow x 5) (- (* 7/32 (/ 1 (pow x 2))) 25/128)))
(* -1 (* (pow x 5) (- (* 7/32 (/ 1 (pow x 2))) (+ 25/128 (/ 1/4 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 7/32 (/ 1 (pow x 2))) (+ 25/128 (/ 1/4 (pow x 4))))))
(* 25/128 (pow x 4))
(* (pow x 4) (- 25/128 (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 25/128 (/ 1/4 (pow x 4))) (* 7/32 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 25/128 (/ 1/4 (pow x 4))) (* 7/32 (/ 1 (pow x 2)))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(- (+ (* -1 (/ (+ (* 1/4 (/ (- 1/2 (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (* (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))))) (pow x 6))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(* -363/2048 (pow x 8))
(* (pow x 8) (- (* 25/128 (/ 1 (pow x 2))) 363/2048))
(* (pow x 8) (- (* 25/128 (/ 1 (pow x 2))) (+ 363/2048 (/ 7/32 (pow x 4)))))
(* (pow x 8) (- (+ (* 25/128 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (+ 363/2048 (/ 7/32 (pow x 4)))))
(* -363/2048 (pow x 7))
(* -1 (* (pow x 7) (- 363/2048 (* 25/128 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 363/2048 (/ 7/32 (pow x 4))) (* 25/128 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 363/2048 (/ 7/32 (pow x 4))) (+ (* 25/128 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(* -363/2048 (pow x 6))
(* (pow x 6) (- (* 25/128 (/ 1 (pow x 2))) 363/2048))
(* (pow x 6) (- (* 25/128 (/ 1 (pow x 2))) (+ 363/2048 (/ 7/32 (pow x 4)))))
(* (pow x 6) (- (+ (* 25/128 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (+ 363/2048 (/ 7/32 (pow x 4)))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(- (+ (* -1 (/ (+ (* 1/4 (/ (- 1/2 (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (* (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))))) (pow x 6))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(* -7/32 (pow x 4))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* -7/32 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 7/32))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (- (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (- (* -1 (sqrt 1/2)) 1)))) (pow x 2))
(/ (- (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (+ 1/2 (sqrt 1/2)) (pow (+ 1 (sqrt 1/2)) 2)))) (* 9/8 (/ 1 (pow (+ 1 (sqrt 1/2)) 2)))) (* (pow x 2) (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (- (* -1 (sqrt 1/2)) 1)))) (pow x 2))
(/ (- (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (+ 1/2 (sqrt 1/2)) (pow (+ 1 (sqrt 1/2)) 2)))) (* 9/8 (/ 1 (pow (+ 1 (sqrt 1/2)) 2)))) (* (pow x 2) (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (- (* -1 (sqrt 1/2)) 1)))) (pow x 2))
(/ (- (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (+ 1/2 (sqrt 1/2)) (pow (+ 1 (sqrt 1/2)) 2)))) (* 9/8 (/ 1 (pow (+ 1 (sqrt 1/2)) 2)))) (* (pow x 2) (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (- (* -1 (sqrt 1/2)) 1)))) (pow x 2))
(/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))
(/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))
(/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))
(/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(- (+ (* -1 (/ (+ (* 1/4 (/ (- 1/2 (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (* (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))))) (pow x 6))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(- (+ (/ 1/2 (* (pow x 2) (- (* -1 (sqrt 1/2)) 1))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))
(- (+ (/ 1/2 (* (pow x 2) (- (* -1 (sqrt 1/2)) 1))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (+ 1/2 (sqrt 1/2)) (pow (+ 1 (sqrt 1/2)) 2)))) (* 9/8 (/ 1 (pow (+ 1 (sqrt 1/2)) 2)))) (* (pow x 4) (sqrt 1/2)))) (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))
(- (+ (/ 1/2 (* (pow x 2) (- (* -1 (sqrt 1/2)) 1))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (+ 1/2 (sqrt 1/2)) (pow (+ 1 (sqrt 1/2)) 2)))) (* 9/8 (/ 1 (pow (+ 1 (sqrt 1/2)) 2)))) (* (pow x 4) (sqrt 1/2)))) (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))
(* -363/2048 (pow x 2))
(* (pow x 2) (- (* 25/128 (/ 1 (pow x 2))) 363/2048))
(* (pow x 2) (- (* 25/128 (/ 1 (pow x 2))) 363/2048))
(* (pow x 2) (- (* 25/128 (/ 1 (pow x 2))) 363/2048))
(* -363/2048 (pow x 4))
(* (pow x 4) (- (* 25/128 (/ 1 (pow x 2))) 363/2048))
(* (pow x 4) (- (* 25/128 (/ 1 (pow x 2))) (+ 363/2048 (/ 7/32 (pow x 4)))))
(* (pow x 4) (- (* 25/128 (/ 1 (pow x 2))) (+ 363/2048 (/ 7/32 (pow x 4)))))

Outputs
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* x (+ 1/4 (* -7/32 (pow x 2))))
(.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -7/32 (pow x 2)))
(fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32)))
(fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64))
(+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32)))
(fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -7/32 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* x (+ 1/4 (* -7/32 (pow x 2))))
(.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (- (* 25/128 (pow x 2)) 7/32))))
(.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 25/128 (* -363/2048 (pow x 2)))) 7/32))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -7/32 (pow x 2)))
(fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64))
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(/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))
(/.f64 (/.f64 #s(literal 1/8 binary64) x) (*.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))
(/.f64 (/.f64 #s(literal 1/8 binary64) x) (*.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))
(/.f64 (/.f64 #s(literal 1/8 binary64) x) (*.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))
(/.f64 (/.f64 #s(literal 1/8 binary64) x) (*.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 x x)))
(- (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 x x))))
(- (+ (* -1 (/ (+ (* 1/4 (/ (- 1/2 (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (* (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))))) (pow x 6))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (pow x 4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 4) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* (pow x 2) (+ 1 (sqrt 1/2))))))))
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -5/32 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1/32 binary64) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 13/64 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 5/128 binary64) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 5/32 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (neg.f64 (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 x x))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(- (+ (/ 1/2 (* (pow x 2) (- (* -1 (sqrt 1/2)) 1))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 x x)))
(- (+ (/ 1/2 (* (pow x 2) (- (* -1 (sqrt 1/2)) 1))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (+ 1/2 (sqrt 1/2)) (pow (+ 1 (sqrt 1/2)) 2)))) (* 9/8 (/ 1 (pow (+ 1 (sqrt 1/2)) 2)))) (* (pow x 4) (sqrt 1/2)))) (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (.f64 x x))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -9/32 binary64) (pow.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ (/ 1/2 (* (pow x 2) (- (* -1 (sqrt 1/2)) 1))) (+ (* 1/2 (/ 1 (* (pow x 4) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (+ 1/2 (sqrt 1/2)) (pow (+ 1 (sqrt 1/2)) 2)))) (* 9/8 (/ 1 (pow (+ 1 (sqrt 1/2)) 2)))) (* (pow x 4) (sqrt 1/2)))) (/ 1/8 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (.f64 x x))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -9/32 binary64) (pow.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(* -363/2048 (pow x 2))
(.f64 #s(literal -363/2048 binary64) (.f64 x x))
(* (pow x 2) (- (* 25/128 (/ 1 (pow x 2))) 363/2048))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 25/128 binary64) (*.f64 x x)) #s(literal 363/2048 binary64)) x) x)
(* (pow x 2) (- (* 25/128 (/ 1 (pow x 2))) 363/2048))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 25/128 binary64) (*.f64 x x)) #s(literal 363/2048 binary64)) x) x)
(* (pow x 2) (- (* 25/128 (/ 1 (pow x 2))) 363/2048))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 25/128 binary64) (*.f64 x x)) #s(literal 363/2048 binary64)) x) x)
(* -363/2048 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -363/2048 binary64))
(* (pow x 4) (- (* 25/128 (/ 1 (pow x 2))) 363/2048))
(.f64 (-.f64 (/.f64 #s(literal 25/128 binary64) (.f64 x x)) #s(literal 363/2048 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 25/128 (/ 1 (pow x 2))) (+ 363/2048 (/ 7/32 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 25/128 binary64) (.f64 x x)) #s(literal 363/2048 binary64)) (/.f64 #s(literal 7/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 25/128 (/ 1 (pow x 2))) (+ 363/2048 (/ 7/32 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 25/128 binary64) (.f64 x x)) #s(literal 363/2048 binary64)) (/.f64 #s(literal 7/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))

rewrite371.0ms (4.4%)

Memory

-32.0MiB live, 201.1MiB allocated

Rules

6 084×	`lower-*.f32`
6 068×	`lower-*.f64`
4 954×	`lower-fma.f32`
4 942×	`lower-fma.f64`
3 538×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	567
0	111	567
1	535	544
2	6026	544
0	9379	515

Stop Event

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

Counts

20 → 383

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x)
#s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
(fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(*.f64 x x)
(fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))))
(/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))))))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)))))
(fma.f64 #s(literal -363/2048 binary64) (*.f64 x x) #s(literal 25/128 binary64))
(fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))

Outputs
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 x x) #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) (*.f64 x x))
(.f64 x (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x))
(.f64 #s(approx (+ ( (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x)
(.f64 x #s(approx (+ ( (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)))
#s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -363/2048 binary64) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -363/2048 binary64) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -363/2048 binary64) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
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(fma.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 5/8 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 5/8 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(literal -5/8 binary64) (pow.f64 (neg.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (-.f64 (/.f64 (.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64))))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/4 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)))
(neg.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64)))

eval209.0ms (2.5%)

Memory: -19.3MiB live, 169.3MiB allocated
Compiler: Compiled 39 660 to 2 425 computations (93.9% saved)

prune150.0ms (1.8%)

Memory

17.9MiB live, 137.7MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	673	2	675
Fresh	0	0	0
Picked	2	2	4
Done	0	6	6
Total	675	10	685

Accuracy

100.0%

Counts

685 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))
✓	51.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
✓	52.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64))))
✓	53.0%	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	49.1%	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -363/2048 binary64) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
✓	49.0%	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
✓	50.4%	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x))
✓	49.0%	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
✓	50.4%	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
	13.9%	#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) #s(approx (- (+ (/ (/ 1/2 (pow x 4)) (+ (sqrt 1/2) 1)) (/ 1/2 (+ (sqrt 1/2) 1))) (+ (* (/ (/ -1/4 (sqrt 1/2)) (pow x 4)) (+ (/ (+ (/ 1/2 (+ (sqrt 1/2) 1)) (/ (/ 1/8 (+ (sqrt 1/2) 1/2)) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) (/ 5/8 (pow (+ (sqrt 1/2) 1) 2)))) (+ (/ (/ 1/2 (+ (* (sqrt 1/2) x) x)) x) (/ (/ 1/8 (pow (+ (sqrt 1/2) 1) 2)) (* (* (sqrt 1/2) x) x))))) (/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -1/2 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))) x) x (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -9/32 binary64) (pow.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 645 to 273 computations (57.7% saved)

regimes163.0ms (2%)

Memory

5.5MiB live, 119.6MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1 binary64))))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -363/2048 binary64) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #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 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (hypot.f64 (*.f64 x x) x) #s(literal 1 binary64))))))))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) #s(approx (- (+ (/ (/ 1/2 (pow x 4)) (+ (sqrt 1/2) 1)) (/ 1/2 (+ (sqrt 1/2) 1))) (+ (* (/ (/ -1/4 (sqrt 1/2)) (pow x 4)) (+ (/ (+ (/ 1/2 (+ (sqrt 1/2) 1)) (/ (/ 1/8 (+ (sqrt 1/2) 1/2)) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) (/ 5/8 (pow (+ (sqrt 1/2) 1) 2)))) (+ (/ (/ 1/2 (+ (* (sqrt 1/2) x) x)) x) (/ (/ 1/8 (pow (+ (sqrt 1/2) 1) 2)) (* (* (sqrt 1/2) x) x))))) (/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -1/2 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))) x) x (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -9/32 binary64) (pow.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))))))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))))))

Outputs

#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (*.f64 x x) #s(literal 25/128 binary64)) (*.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))

#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x))))))

Calls

7 calls:

62.0ms	(-.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))))))
39.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
36.0ms	(hypot.f64 #s(literal 1 binary64) x)
7.0ms	x
6.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))

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)

regimes296.0ms (3.5%)

Memory

-15.5MiB live, 78.7MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1 binary64))))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -363/2048 binary64) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #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 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (hypot.f64 (*.f64 x x) x) #s(literal 1 binary64))))))))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) #s(approx (- (+ (/ (/ 1/2 (pow x 4)) (+ (sqrt 1/2) 1)) (/ 1/2 (+ (sqrt 1/2) 1))) (+ (* (/ (/ -1/4 (sqrt 1/2)) (pow x 4)) (+ (/ (+ (/ 1/2 (+ (sqrt 1/2) 1)) (/ (/ 1/8 (+ (sqrt 1/2) 1/2)) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) (/ 5/8 (pow (+ (sqrt 1/2) 1) 2)))) (+ (/ (/ 1/2 (+ (* (sqrt 1/2) x) x)) x) (/ (/ 1/8 (pow (+ (sqrt 1/2) 1) 2)) (* (* (sqrt 1/2) x) x))))) (/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -1/2 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))) x) x (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -9/32 binary64) (pow.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))

Outputs

#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (*.f64 x x) #s(literal 25/128 binary64)) (*.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))

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

Calls

7 calls:

256.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
11.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
6.0ms	x
5.0ms	(hypot.f64 #s(literal 1 binary64) x)
5.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes29.0ms (0.4%)

Memory

-15.4MiB live, 62.6MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1 binary64))))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* x x) 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))

Outputs

#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (*.f64 x x) #s(literal -7/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))

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

Calls

7 calls:

6.0ms	x
5.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
4.0ms	(hypot.f64 #s(literal 1 binary64) x)
3.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
3.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.7%	2	`x`
99.7%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.7%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.7%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.7%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.7%	2	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes22.0ms (0.3%)

Memory

4.3MiB live, 45.0MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1 binary64))))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))

Outputs

#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes18.0ms (0.2%)

Memory

-3.0MiB live, 36.0MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1 binary64))))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))

Outputs

#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -7/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
98.8%	2	`x`
98.8%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.8%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.8%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.8%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.8%	2	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes13.0ms (0.2%)

Memory

31.2MiB live, 31.2MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1 binary64))))

Outputs

#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes11.0ms (0.1%)

Memory

-15.1MiB live, 24.0MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))

Outputs

#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))

Calls

7 calls:

3.0ms	(hypot.f64 #s(literal 1 binary64) x)
1.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms	x
1.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
1.0ms	(-.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
50.4%	1	`x`
50.4%	1	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
50.4%	1	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
50.4%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
50.4%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
50.4%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
50.4%	1	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes10.0ms (0.1%)

Memory

-18.0MiB live, 21.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
50.4%	1	`x`
50.4%	1	`(hypot.f64 #s(literal 1 binary64) x)`
50.4%	1	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
50.4%	1	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
50.4%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
50.4%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
50.4%	1	`(/.f64 #s(literal 1 binary64) (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	1.000267438049921	2419.6206387868756

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000267438049921	2419.6206387868756

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000267438049921	2419.6206387868756

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000267438049921	2419.6206387868756

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000267438049921	2419.6206387868756

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000267438049921	2419.6206387868756

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify33.0ms (0.4%)

Memory

-2.6MiB live, 74.3MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`-commutative-binary64-.f64`
20×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	564
1	113	564
2	120	564
3	124	564
4	126	564

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(approx (/ (- 1/2 (/ 1/2 (+ ( 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(approx (/ (- 1/2 (/ 1/2 (+ ( 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(approx (/ (- 1/2 (/ 1/2 (+ ( 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))

Outputs
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(approx (/ (- 1/2 (/ 1/2 (+ ( 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(approx (/ (- 1/2 (/ 1/2 (+ ( 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 5/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) x))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -363/2048 binary64) (.f64 x x) #s(literal 25/128 binary64)) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(approx (/ (- 1/2 (/ 1/2 (+ ( 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 25/128 binary64) (.f64 x x) #s(literal -7/32 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(approx (/ (- 1/2 (/ 1/2 (+ ( 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -7/32 binary64) (.f64 x x) #s(literal 1/4 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (+ (* 1 1) (* x x))))) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 (.f64 #s(approx (+ (* (+ (* 25/128 (* x x)) -7/32) (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1/2 (/ 1/2 (+ (* 1 1) (* x x)))) (+ (sqrt (+ (/ 1/2 (+ (* 1 1) (* x x))) 1/2)) 1)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))

soundness797.0ms (9.6%)

Memory

37.1MiB live, 751.6MiB allocated

Rules

21 108×	`lower-fma.f64`
21 108×	`lower-fma.f32`
10 964×	`lower-fma.f64`
10 964×	`lower-fma.f32`
9 970×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	136	960
1	396	892
2	1154	880
3	3530	816
4	7946	816
0	8277	773
0	231	5028
1	691	4412
2	2264	4314
3	6235	4314
0	8471	4178
0	9	46
0	17	46
1	76	40
2	561	40
3	5886	40
0	8423	40
0	237	4348
1	723	3950
2	2347	3910
3	6568	3894
0	8265	3666

Stop Event

1×	fuel
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×	node limit

Compiler

Compiled 504 to 266 computations (47.2% saved)

preprocess80.0ms (1%)

Memory: -9.8MiB live, 193.7MiB allocated
Remove: (abs x)
Compiler: Compiled 752 to 262 computations (65.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	29
1	36	24
2	74	24
3	119	24
4	171	24
5	207	24
6	245	24
7	295	24
8	330	24
9	371	24
10	402	24
11	410	24
0	9	12
0	17	12
1	30	10
2	37	10
3	42	10
4	48	10
5	56	10
6	66	10
7	77	10
8	80	10
0	80	10

Iter	Nodes	Cost
0	13	29
1	36	24
2	74	24
3	119	24
4	171	24
5	207	24
6	245	24
7	295	24
8	330	24
9	371	24
10	402	24
11	410	24
0	9	12
0	17	12
1	30	10
2	37	10
3	42	10
4	48	10
5	56	10
6	66	10
7	77	10
8	80	10
0	80	10

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (19.8%)

explain177.0ms (2.1%)

preprocess29.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize55.0ms (0.7%)

series10.0ms (0.1%)

simplify265.0ms (3.2%)

rewrite246.0ms (3%)

eval121.0ms (1.4%)

prune32.0ms (0.4%)

simplify289.0ms (3.5%)

localize144.0ms (1.7%)

series41.0ms (0.5%)

simplify184.0ms (2.2%)

rewrite194.0ms (2.3%)

eval227.0ms (2.7%)

prune29.0ms (0.3%)

simplify372.0ms (4.5%)

localize180.0ms (2.2%)

series25.0ms (0.3%)

simplify224.0ms (2.7%)

rewrite263.0ms (3.2%)

eval93.0ms (1.1%)

prune173.0ms (2.1%)

simplify393.0ms (4.7%)

localize405.0ms (4.9%)

series41.0ms (0.5%)

simplify261.0ms (3.1%)

rewrite371.0ms (4.4%)

eval209.0ms (2.5%)

prune150.0ms (1.8%)

regimes163.0ms (2%)

regimes296.0ms (3.5%)

regimes29.0ms (0.4%)

regimes22.0ms (0.3%)

regimes18.0ms (0.2%)

regimes13.0ms (0.2%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify33.0ms (0.4%)

soundness797.0ms (9.6%)

preprocess80.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	29
1	36	24
2	74	24
3	119	24
4	171	24
5	207	24
6	245	24
7	295	24
8	330	24
9	371	24
10	402	24
11	410	24
0	9	12
0	17	12
1	30	10
2	37	10
3	42	10
4	48	10
5	56	10
6	66	10
7	77	10
8	80	10
0	80	10