Metrics for Given's Rotation SVD example

analyze534.0ms (4.5%)

Memory

48.1MiB live, 883.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	48.6%	51.4%	0%	0%	0%	0
0%	0%	48.6%	51.4%	0%	0%	0%	1
0%	0%	48.6%	51.4%	0%	0%	0%	2
0%	0%	48.6%	51.4%	0%	0%	0%	3
0%	0%	48.6%	51.4%	0%	0%	0%	4
31.3%	15.2%	33.4%	51.4%	0%	0%	0%	5
34.4%	16.7%	31.9%	51.4%	0%	0%	0%	6
51.6%	25.1%	23.6%	51.4%	0%	0%	0%	7
53.1%	25.8%	22.8%	51.4%	0%	0%	0%	8
62.5%	30.4%	18.2%	51.4%	0%	0%	0%	9
63.7%	31%	17.7%	51.4%	0%	0%	0%	10
68.6%	33.3%	15.3%	51.4%	0%	0%	0%	11
69.2%	33.7%	15%	51.4%	0%	0%	0%	12

Compiler

Compiled 27 to 21 computations (22.2% saved)

sample2.5s (20.8%)

Memory

-129.4MiB live, 3 518.6MiB allocated

Samples

1.4s	6 193×	0	valid
328.0ms	1 024×	2	valid
151.0ms	637×	1	valid
147.0ms	402×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-add: 395.0ms (23.6% of total)

const: 301.0ms (18% of total)

ival-mult: 267.0ms (15.9% of total)

ival-sqrt: 210.0ms (12.5% of total)

ival-<: 164.0ms (9.8% of total)

ival-div: 136.0ms (8.1% of total)

adjust: 97.0ms (5.8% of total)

ival-fabs: 80.0ms (4.8% of total)

ival-and: 11.0ms (0.7% of total)

exact: 11.0ms (0.7% of total)

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

Bogosity

preprocess66.0ms (0.5%)

Memory

16.2MiB live, 53.7MiB allocated

Algorithm

1×	egg-herbie

Rules

252×	`distribute-lft-neg-in`
218×	`unsub-neg`
198×	`associate-r`
196×	`associate-l`
162×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	93
1	90	87
2	194	87
3	401	87
4	661	87
5	999	87
6	1334	87
7	1544	87
8	1698	87
9	1932	87
10	1999	87
11	2027	87
12	2029	87
0	14	17
0	23	17
1	38	17
2	45	17
3	47	17
4	48	17
0	48	15

Stop Event

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

Calls

Call 1

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

Outputs

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

(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 p p) (*.f64 x x)))) #s(literal 1/2 binary64)))

Symmetry

(abs p)

explain242.0ms (2%)

Memory

21.0MiB live, 522.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
66	0	-	0	-	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`
37	1	(2.123653054380917e-307 -4.5015082211363575e-146)	0	-	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
18	0	-	2	(2.123653054380917e-307 -4.5015082211363575e-146)	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
0	0	-	0	-	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`(*.f64 x x)`
0	0	-	0	-	`p`
0	0	-	0	-	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`
0	0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
0	0	-	0	-	`#s(literal 1/2 binary64)`
0	0	-	0	-	`(*.f64 #s(literal 4 binary64) p)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`	oflow-rescue	66	0
↳	`(*.f64 #s(literal 4 binary64) p)`	overflow	1
↳	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`	overflow	66
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	overflow	66
`+.f64`	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	cancellation	38	0
`sqrt.f64`	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`	uflow-rescue	16	0
↳	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`	underflow	7
↳	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`	underflow	23
↳	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	underflow	23
↳	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`	underflow	12
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	underflow	58

Confusion

	Predicted +	Predicted -
+	54	0
-	66	136

Precision

0.45

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	54	0	0
-	66	0	136

Precision?

0.45

Recall?

1.0

Freqs

test

number	freq
0	136
1	120

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

57.0ms	394×	0	valid
11.0ms	48×	2	valid
9.0ms	44×	1	valid
9.0ms	26×	3	valid

Compiler

Compiled 230 to 60 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-sqrt: 18.0ms (36.6% of total)

ival-mult: 14.0ms (28.4% of total)

ival-add: 7.0ms (14.2% of total)

ival-div: 5.0ms (10.2% of total)

adjust: 4.0ms (8.1% of total)

exact: 1.0ms (2% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify8.0ms (0.1%)

Memory

-20.2MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
✓	cost-diff	0	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
✓	cost-diff	128	(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
✓	cost-diff	128	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))

Rules

32×	`lower-*.f32`
24×	`lower-*.f64`
18×	`lower-fma.f64`
18×	`lower-fma.f32`
12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	94
0	23	94
1	38	94
2	45	94
3	47	94
4	48	94
0	48	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize67.0ms (0.6%)

Memory

8.2MiB live, 148.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
✓	accuracy	93.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
✓	accuracy	87.1%	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
✓	accuracy	76.0%	(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))

Samples

18.0ms	197×	0	valid
7.0ms	24×	2	valid
6.0ms	13×	3	valid
4.0ms	22×	1	valid

Compiler

Compiled 96 to 16 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 7.0ms (29.6% of total)

ival-sqrt: 5.0ms (21.2% of total)

ival-add: 5.0ms (21.2% of total)

ival-div: 4.0ms (16.9% of total)

adjust: 2.0ms (8.5% of total)

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

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

exact: 0.0ms (0% of total)

series73.0ms (0.6%)

Memory

-25.2MiB live, 47.7MiB allocated

Counts

5 → 120

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))>
#<alt (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))>
#<alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))>
#<alt (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))>
#<alt (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))>
#<alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ x p)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))>
#<alt (pow x 2)>
#<alt (+ (* 4 (pow p 2)) (pow x 2))>
#<alt (+ (* 4 (pow p 2)) (pow x 2))>
#<alt (+ (* 4 (pow p 2)) (pow x 2))>
#<alt (* 4 (pow p 2))>
#<alt (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))>
#<alt (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))>
#<alt (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))>
#<alt (* 4 (pow p 2))>
#<alt (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))>
#<alt (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))>
#<alt (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))>
#<alt (* 4 (pow p 2))>
#<alt (+ (* 4 (pow p 2)) (pow x 2))>
#<alt (+ (* 4 (pow p 2)) (pow x 2))>
#<alt (+ (* 4 (pow p 2)) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))>
#<alt (+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))>
#<alt (* (sqrt 1/2) (sqrt 2))>
#<alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))>
#<alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))>
#<alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))>
#<alt (* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))>
#<alt (* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))>
#<alt (* (sqrt 1/2) (sqrt 2))>
#<alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))>
#<alt (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))>
#<alt (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))>
#<alt (+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ x p)))>
#<alt (+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))>
#<alt (+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))>
#<alt 2>
#<alt (+ 2 (* -2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))>
#<alt (+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))>
#<alt (/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2)))) (pow x 2))>
#<alt (/ (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* -2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))>
#<alt (+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ x p)))>
#<alt (+ 1 (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))>
#<alt (+ 1 (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ x p)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)))>
#<alt x>
#<alt (+ x (* 2 (/ (pow p 2) x)))>
#<alt (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))>
#<alt (+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))>
#<alt (* 2 p)>
#<alt (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))>
#<alt (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))>
#<alt (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))>
#<alt (* -2 p)>
#<alt (* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))>
#<alt (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))>
#<alt (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))>
#<alt (* 2 p)>
#<alt (+ (* 1/4 (/ (pow x 2) p)) (* 2 p))>
#<alt (+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))>
#<alt (+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))>
#<alt (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))>
#<alt (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))>
#<alt (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))>

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))
3.0ms	x	@	-inf	(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
1.0ms	x	@	inf	(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
1.0ms	x	@	-inf	(* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))
1.0ms	p	@	0	(* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))

simplify407.0ms (3.4%)

Memory

15.8MiB live, 621.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 590×	`lower-fma.f64`
9 590×	`lower-fma.f32`
6 900×	`lower-*.f64`
6 900×	`lower-*.f32`
4 472×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	2482
1	1325	2377
2	4606	2304
0	8075	2141

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 118

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
1
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(/ (pow p 2) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))
1
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))
1/2
(+ 1/2 (* -1/4 (/ x p)))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))
(pow x 2)
(+ (* 4 (pow p 2)) (pow x 2))
(+ (* 4 (pow p 2)) (pow x 2))
(+ (* 4 (pow p 2)) (pow x 2))
(* 4 (pow p 2))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(* 4 (pow p 2))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(* 4 (pow p 2))
(+ (* 4 (pow p 2)) (pow x 2))
(+ (* 4 (pow p 2)) (pow x 2))
(+ (* 4 (pow p 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
1
(+ 1 (* 1/2 (/ x p)))
(+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))
(+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))
2
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(* 2 (/ (pow p 2) (pow x 2)))
(/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))
(/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2)))) (pow x 2))
(/ (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2))))) (pow x 2))
2
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
1
(+ 1 (* 1/2 (/ x p)))
(+ 1 (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))
(+ 1 (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))))
1
(+ 1 (* -1/2 (/ x p)))
(+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
(+ 1 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)))
x
(+ x (* 2 (/ (pow p 2) x)))
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(* 2 p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -2 p)
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
(* 2 p)
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
x
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(fma.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x x) (.f64 p (*.f64 p p))) (/.f64 #s(literal 1/4 binary64) p)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(fma.f64 x (fma.f64 x (.f64 x (fma.f64 #s(literal 3/512 binary64) (.f64 x (/.f64 x (pow.f64 p #s(literal 5 binary64)))) (/.f64 #s(literal -1/32 binary64) (.f64 p (.f64 p p))))) (/.f64 #s(literal 1/4 binary64) p)) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (neg.f64 p) (/.f64 p (.f64 x x)) #s(literal 1 binary64)))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (neg.f64 p) (/.f64 p (.f64 x x)) #s(literal 1 binary64)))
(/ (pow p 2) (pow x 2))
(/.f64 (.f64 p p) (.f64 x x))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x))) (.f64 p p)) (*.f64 x x))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 p p)) (.f64 x x))
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 144 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal -256 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p)))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 p p)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (/.f64 #s(literal 3 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(fma.f64 (.f64 p p) (fma.f64 p (.f64 p (fma.f64 #s(literal -10 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 3 binary64) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))
(fma.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x x) (.f64 p (*.f64 p p))) (/.f64 #s(literal 1/4 binary64) p)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))
(fma.f64 x (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/256 binary64)) (pow.f64 p #s(literal 5 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x x) (.f64 p (*.f64 p p))) (/.f64 #s(literal 1/4 binary64) p))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (/ x p)))
(fma.f64 (/.f64 x p) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x x))) (.f64 p p))) p))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/256 binary64)) (.f64 (.f64 p p) (.f64 p p))) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x x))) (*.f64 p p))) p))
(pow x 2)
(*.f64 x x)
(+ (* 4 (pow p 2)) (pow x 2))
(fma.f64 x x (.f64 (.f64 p p) #s(literal 4 binary64)))
(+ (* 4 (pow p 2)) (pow x 2))
(fma.f64 x x (.f64 (.f64 p p) #s(literal 4 binary64)))
(+ (* 4 (pow p 2)) (pow x 2))
(fma.f64 x x (.f64 (.f64 p p) #s(literal 4 binary64)))
(* 4 (pow p 2))
(.f64 (.f64 p p) #s(literal 4 binary64))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(.f64 (.f64 p p) (fma.f64 x (/.f64 x (*.f64 p p)) #s(literal 4 binary64)))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(.f64 (.f64 p p) (fma.f64 x (/.f64 x (*.f64 p p)) #s(literal 4 binary64)))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(.f64 (.f64 p p) (fma.f64 x (/.f64 x (*.f64 p p)) #s(literal 4 binary64)))
(* 4 (pow p 2))
(.f64 (.f64 p p) #s(literal 4 binary64))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(.f64 (.f64 p p) (fma.f64 x (/.f64 x (*.f64 p p)) #s(literal 4 binary64)))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(.f64 (.f64 p p) (fma.f64 x (/.f64 x (*.f64 p p)) #s(literal 4 binary64)))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(.f64 (.f64 p p) (fma.f64 x (/.f64 x (*.f64 p p)) #s(literal 4 binary64)))
(* 4 (pow p 2))
(.f64 (.f64 p p) #s(literal 4 binary64))
(+ (* 4 (pow p 2)) (pow x 2))
(fma.f64 x x (.f64 (.f64 p p) #s(literal 4 binary64)))
(+ (* 4 (pow p 2)) (pow x 2))
(fma.f64 x x (.f64 (.f64 p p) #s(literal 4 binary64)))
(+ (* 4 (pow p 2)) (pow x 2))
(fma.f64 x x (.f64 (.f64 p p) #s(literal 4 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (.f64 p p) (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (.f64 p p) (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (.f64 p p) (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (.f64 p p) (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (.f64 p p) (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (.f64 p p) (/.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 1 binary64)))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 p p))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 p p)) (/.f64 (.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -3/128 binary64)) (.f64 p (.f64 p p)))) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (.f64 p p))))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 6 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (.f64 p p))))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 6 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -2 binary64))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 6 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -2 binary64))) (/.f64 (.f64 p p) #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -32 binary64) (neg.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p)))))) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (*.f64 p p)))))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) p)) (neg.f64 x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 (sqrt.f64 #s(literal 2 binary64)) p))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p))) (neg.f64 x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 144 binary64)) (.f64 p p)) (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) p))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 (sqrt.f64 #s(literal 2 binary64)) p))) #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) p)))) (neg.f64 x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 144 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal -256 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p)))))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 144 binary64)) (.f64 p p)) (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))))) (.f64 p p)))) (.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) p))) (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 144 binary64)) (.f64 p p)) (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) p))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 (sqrt.f64 #s(literal 2 binary64)) p))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p)))) (neg.f64 x))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (.f64 p p))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 (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)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))
(fma.f64 p (.f64 p (fma.f64 (.f64 p p) (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 p (.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x x)) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (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)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 p p))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3))))))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 p p))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -3/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 p (*.f64 p p))) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/32 binary64)))) p))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -3/64 binary64)) p) #s(literal -1/2 binary64) (.f64 #s(literal -1/32 binary64) (*.f64 x x)))) (neg.f64 p))) p))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ x p)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))
(fma.f64 x (fma.f64 (/.f64 (.f64 x x) (.f64 p (*.f64 p p))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (/.f64 x (pow.f64 p #s(literal 5 binary64)))) #s(literal 3/256 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 p (.f64 p p)))) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 6 binary64)) (.f64 (.f64 x x) (*.f64 x x)))))
(+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 6 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -32 binary64) (neg.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (*.f64 p p))))) (pow.f64 x #s(literal 6 binary64))))
(* 2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (*.f64 x x))
(/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x))) (.f64 #s(literal 2 binary64) (.f64 p p))) (.f64 x x))
(/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2)))) (pow x 2))
(/.f64 (fma.f64 p (.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x))) (/.f64 (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x))
(/ (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 144 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal -256 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p)))))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 p (.f64 p #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -2 binary64) (.f64 x x))) #s(literal 2 binary64))
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) #s(literal -20 binary64) (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ x p)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(+ 1 (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))
(fma.f64 x (fma.f64 (/.f64 (.f64 x x) (.f64 p (*.f64 p p))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))))
(fma.f64 x (fma.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -3/256 binary64) (pow.f64 p #s(literal 5 binary64))) (fma.f64 (/.f64 (.f64 x x) (.f64 p (.f64 p p))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ x p)))
(fma.f64 (/.f64 x p) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/16 binary64) (.f64 p p)) (.f64 #s(literal 1/2 binary64) x)) p))
(+ 1 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (neg.f64 (/.f64 #s(literal -3/256 binary64) (.f64 (.f64 p p) (.f64 p p)))) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/16 binary64)) (.f64 p p))) p))
x
(+ x (* 2 (/ (pow p 2) x)))
(fma.f64 p (*.f64 p (/.f64 #s(literal 2 binary64) x)) x)
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(fma.f64 p (.f64 p (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 x (.f64 x x))) (/.f64 #s(literal 2 binary64) x))) x)
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) x)) (/.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 2 binary64) x)) x)
(* 2 p)
(*.f64 p #s(literal 2 binary64))
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(.f64 p (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 p p)) #s(literal 2 binary64)))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(.f64 p (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(literal -1/64 binary64) (.f64 (.f64 p p) (*.f64 p p))) #s(literal 2 binary64))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(.f64 p (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(literal -1/64 binary64) (.f64 (.f64 p p) (.f64 p p))) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 p #s(literal 6 binary64)))))
(* -2 p)
(*.f64 p #s(literal -2 binary64))
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(.f64 p (neg.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 p p)) #s(literal 2 binary64))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(literal -1/64 binary64) (.f64 (.f64 p p) (*.f64 p p))) #s(literal 2 binary64))) (neg.f64 p))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
(.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(literal -1/64 binary64) (.f64 (.f64 p p) (.f64 p p))) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 p #s(literal 6 binary64)))) (neg.f64 p))
(* 2 p)
(*.f64 p #s(literal 2 binary64))
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) p) (.f64 p #s(literal 2 binary64)))
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(fma.f64 (.f64 x x) (fma.f64 (/.f64 (.f64 x x) (.f64 p (.f64 p p))) #s(literal -1/64 binary64) (/.f64 #s(literal 1/4 binary64) p)) (*.f64 p #s(literal 2 binary64)))
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x (/.f64 x (pow.f64 p #s(literal 5 binary64)))) #s(literal 1/512 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 p (.f64 p p)))) (/.f64 #s(literal 1/4 binary64) p)) (.f64 p #s(literal 2 binary64)))
x
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(fma.f64 (/.f64 (.f64 p p) (.f64 x x)) (*.f64 #s(literal 2 binary64) x) x)
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(.f64 x (fma.f64 (.f64 p p) (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 p p) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))
(neg.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))) x))

rewrite280.0ms (2.3%)

Memory

-8.3MiB live, 498.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 862×	`lower-fma.f64`
4 862×	`lower-fma.f32`
3 532×	`lower-*.f32`
3 524×	`lower-*.f64`
2 388×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	66
0	23	66
1	77	66
2	501	66
3	6967	66
0	8492	59

Stop Event

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

Counts

5 → 276

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))) (/.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64))
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(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))) (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p)))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))) (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))) (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))) (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))))) (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p)))))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))))
(.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))))))
(.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))))))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))) (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))))
(.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p)))))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))) #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))) (-.f64 (-.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p)))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64)))))) (+.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p)))))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))))) (+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))
(sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64)))) (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal 16 binary64))))) (sqrt.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 64 binary64) (.f64 (.f64 p p) (.f64 p (.f64 p (*.f64 p p)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) (.f64 p (.f64 #s(literal 4 binary64) p)))) (sqrt.f64 (-.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal 16 binary64))) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 64 binary64) (.f64 (.f64 p p) (.f64 p (.f64 p (.f64 p p))))))) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64)))) (.f64 (.f64 p p) (.f64 (*.f64 p p) #s(literal 16 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 64 binary64) (.f64 (.f64 p p) (.f64 p (.f64 p (.f64 p p))))))) (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64)))) (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal 16 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x))))) (sqrt.f64 (fma.f64 x (neg.f64 x) (.f64 p (*.f64 #s(literal 4 binary64) p)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) (.f64 p (.f64 #s(literal 4 binary64) p))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 64 binary64) (.f64 (.f64 p p) (.f64 p (.f64 p (.f64 p p)))))))) (sqrt.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64)))) (.f64 (.f64 p p) (.f64 (*.f64 p p) #s(literal 16 binary64)))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))) (fma.f64 (.f64 p p) #s(literal -4 binary64) (.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal -4 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 #s(literal -16 binary64) (.f64 p (.f64 p (.f64 p p)))))) (sqrt.f64 (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 64 binary64) (.f64 (.f64 p p) (.f64 p (.f64 p (.f64 p p)))))))) (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64)))) (.f64 (.f64 p p) (.f64 (*.f64 p p) #s(literal 16 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) (.f64 p (*.f64 #s(literal 4 binary64) p))))))
(pow.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))) (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p)))))
(.f64 (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 64 binary64) (.f64 (.f64 p p) (.f64 p (.f64 p (.f64 p p))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64)))) (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal 16 binary64))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 64 binary64) (.f64 (.f64 p p) (.f64 p (.f64 p (.f64 p p))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64)))) (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal 16 binary64)))))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 64 binary64) (.f64 (.f64 p p) (.f64 p (.f64 p (.f64 p p))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x x (.f64 (.f64 p p) #s(literal -4 binary64)))) (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal 16 binary64)))))))
(.f64 (sqrt.f64 (-.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 p p) #s(literal -4 binary64) (.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 p p) #s(literal -4 binary64) (.f64 x x)))))
(.f64 (sqrt.f64 (-.f64 (.f64 (.f64 p p) (.f64 (.f64 p p) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (neg.f64 x) (.f64 p (.f64 #s(literal 4 binary64) p))))))
(.f64 (pow.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))) #s(literal 1/4 binary64)) #s(literal 1 binary64)))

eval123.0ms (1%)

Memory: -30.7MiB live, 103.5MiB allocated
Compiler: Compiled 15 630 to 1 954 computations (87.5% saved)

prune63.0ms (0.5%)

Memory

-19.5MiB live, 137.6MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	380	14	394
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	381	14	395

Accuracy

99.7%

Counts

395 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.1%	(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))))))
▶	80.6%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	77.7%	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) x #s(literal 1/2 binary64)))
	51.1%	(sqrt.f64 (/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64))))
	15.1%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (* x x))))) (/.f64 (fma.f64 p (.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x))) (/.f64 (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)))))
	28.7%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64))))
	50.3%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
	12.8%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 144 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal -256 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p)))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 p p)) (*.f64 x x))))
	15.8%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x))) (.f64 p p)) (*.f64 x x))))
▶	18.0%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
	38.3%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
▶	55.1%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
	77.7%	(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64)))))
	25.2%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) p)) (neg.f64 x)))

Compiler

Compiled 762 to 356 computations (53.3% saved)

simplify129.0ms (1.1%)

Memory

29.8MiB live, 106.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 (neg.f64 x) (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64))
✓	cost-diff	(sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64)))
✓	cost-diff	(.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))))))
✓	cost-diff	(sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))
✓	cost-diff	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))
✓	cost-diff	(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) x #s(literal 1/2 binary64))
✓	cost-diff	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) x #s(literal 1/2 binary64)))
✓	cost-diff	(*.f64 p p)
✓	cost-diff	(/.f64 (.f64 p p) (.f64 x x))
✓	cost-diff	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x)))
✓	cost-diff	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
✓	cost-diff	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))
✓	cost-diff	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
✓	cost-diff	(sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))
✓	cost-diff	(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))
✓	cost-diff	(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	cost-diff	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Rules

1 032×	`lower-fma.f32`
1 024×	`lower-fma.f64`
796×	`lower-*.f32`
786×	`lower-*.f64`
528×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	402
0	66	394
1	114	394
2	146	394
3	183	394
4	220	394
5	284	394
6	407	394
7	519	394
8	673	394
9	1414	394
10	2371	394
11	2637	394
12	2767	394
13	2841	394
14	2865	394
15	2912	394
16	3202	394
0	3202	394

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize303.0ms (2.5%)

Memory

15.8MiB live, 321.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	86.6%	(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))
✓	accuracy	84.9%	(sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64)))
✓	accuracy	76.0%	(sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))
✓	accuracy	51.8%	(fma.f64 (neg.f64 x) (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))
✓	accuracy	93.9%	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) x #s(literal 1/2 binary64)))
✓	accuracy	77.8%	(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) x #s(literal 1/2 binary64))
✓	accuracy	76.0%	(sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))
✓	accuracy	100.0%	(*.f64 p p)
✓	accuracy	93.9%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
✓	accuracy	87.9%	(/.f64 (.f64 p p) (.f64 x x))
✓	accuracy	26.5%	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x)))
✓	accuracy	93.9%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
✓	accuracy	54.5%	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))
✓	accuracy	93.9%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	accuracy	87.1%	(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	accuracy	76.0%	(sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))

Samples

71.0ms	65×	2	valid
37.0ms	129×	0	valid
31.0ms	25×	3	valid
19.0ms	37×	1	valid

Compiler

Compiled 413 to 39 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-div: 25.0ms (25.4% of total)

ival-sqrt: 22.0ms (22.4% of total)

ival-mult: 22.0ms (22.4% of total)

ival-add: 14.0ms (14.2% of total)

adjust: 11.0ms (11.2% of total)

ival-sub: 2.0ms (2% of total)

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series104.0ms (0.9%)

Memory

-12.3MiB live, 78.8MiB allocated

Counts

19 → 444

Calls

Call 1

Inputs
#<alt (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))>
#<alt (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))>
#<alt (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))>
#<alt (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))>
#<alt (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))>
#<alt #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))>
#<alt (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))>
#<alt #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x)))>
#<alt (/.f64 (.f64 p p) (.f64 x x))>
#<alt (*.f64 p p)>
#<alt (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) x #s(literal 1/2 binary64)))>
#<alt (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) x #s(literal 1/2 binary64))>
#<alt (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))>
#<alt (/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))))))>
#<alt (.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64)))>
#<alt (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64))>
#<alt (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))>

Outputs
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))>
#<alt (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))>
#<alt (* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x))>
#<alt (* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))>
#<alt (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))>
#<alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ x p)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))>
#<alt (* 1/2 (/ x p))>
#<alt (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))>
#<alt (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/2048 (/ (pow x 2) (pow p 7))) (* 3/256 (/ 1 (pow p 5))))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))>
#<alt (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))>
#<alt -1>
#<alt (- (* 2 (/ (pow p 2) (pow x 2))) 1)>
#<alt (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)>
#<alt (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 1)>
#<alt 1>
#<alt (+ 1 (* -2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))>
#<alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))>
#<alt (* 1/2 (/ x p))>
#<alt (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)>
#<alt (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)>
#<alt (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p)>
#<alt (* -1/2 (/ x p))>
#<alt (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))>
#<alt (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p))>
#<alt (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p))>
#<alt (* 2 p)>
#<alt (+ (* 1/4 (/ (pow x 2) p)) (* 2 p))>
#<alt (+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))>
#<alt (+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))>
#<alt (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))>
#<alt (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))>
#<alt (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))>
#<alt x>
#<alt (+ x (* 2 (/ (pow p 2) x)))>
#<alt (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))>
#<alt (+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))>
#<alt (* 2 p)>
#<alt (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))>
#<alt (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))>
#<alt (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))>
#<alt (* -2 p)>
#<alt (* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))>
#<alt (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))>
#<alt (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))>
#<alt (+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))>
#<alt (* (sqrt 1/2) (sqrt 2))>
#<alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))>
#<alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))>
#<alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))>
#<alt (* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))>
#<alt (* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))>
#<alt (* (sqrt 1/2) (sqrt 2))>
#<alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))>
#<alt (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))>
#<alt (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))>
#<alt (+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))>
#<alt (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))>
#<alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ x p)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))>
#<alt (+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))>
#<alt (* (sqrt 1/2) (sqrt 2))>
#<alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))>
#<alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))>
#<alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))>
#<alt (* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))>
#<alt (* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))>
#<alt (* (sqrt 1/2) (sqrt 2))>
#<alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))>
#<alt (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))>
#<alt (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))>
#<alt (+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))>
#<alt (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))>
#<alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ x p)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (pow p 2)>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))>
#<alt (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))>
#<alt (* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x))>
#<alt (* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))>
#<alt (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))>
#<alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ x p)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))>
#<alt (/ 1/4 p)>
#<alt (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))>
#<alt (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/4096 (/ (pow x 2) (pow p 7))) (* 3/512 (/ 1 (pow p 5))))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x)>
#<alt (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))>
#<alt (* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) x))>
#<alt (/ 1/2 x)>
#<alt (+ (* -1 (/ (pow p 2) (pow x 3))) (* 1/2 (/ 1 x)))>
#<alt (+ (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))>
#<alt (+ (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 7))) (* 3 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))>
#<alt (/ 1/4 p)>
#<alt (/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p)>
#<alt (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p)>
#<alt (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) p)>
#<alt (/ -1/4 p)>
#<alt (* -1 (/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p))>
#<alt (* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p))>
#<alt (* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) p))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))>
#<alt (+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))>
#<alt (* (sqrt 1/2) (sqrt 2))>
#<alt (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))>
#<alt (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (+ (* 1/4 (/ (pow (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) 2) (pow (sqrt 2) 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))))))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))>
#<alt (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -128 (pow p 6)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2)))))) (pow p 2))) (+ (* 1/4 (/ (* (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (+ (* 1/2 (/ (* (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (+ (* 1/4 (/ (pow (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) 2) (pow (sqrt 2) 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))))))) (pow (sqrt 2) 2))) (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow p 2)))))))) (* (pow x 6) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (+ (* 1/4 (/ (pow (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) 2) (pow (sqrt 2) 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))))))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))>
#<alt (* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))>
#<alt (* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -128 (pow p 8)) (+ (* -1 (* (pow p 2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -1/4 (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* 1/2 (/ (* (- (* -8 (pow p 4)) (* -2 (pow p 4))) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* (pow p 2) (pow (sqrt 2) 2))))))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))>
#<alt (* (sqrt 1/2) (sqrt 2))>
#<alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))>
#<alt (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))>
#<alt (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))>
#<alt (+ (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/64 (pow x 3)) (* 1/16 (pow x 3)))) (pow p 3))) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (pow x 2) (sqrt 1/2))) (* 1/2 (/ (* (sqrt 1/2) (+ (* -1/64 (pow x 3)) (* 1/16 (pow x 3)))) p))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))))>
#<alt (+ (sqrt 1/2) (* (pow x 2) (+ (* -1/8 (/ (sqrt 1/2) (pow p 2))) (* 3/128 (/ (* (pow x 2) (sqrt 1/2)) (pow p 4))))))>
#<alt (+ (sqrt 1/2) (* (pow x 2) (+ (* -1/8 (/ (sqrt 1/2) (pow p 2))) (* (pow x 2) (+ (* -5/1024 (/ (* (pow x 2) (sqrt 1/2)) (pow p 6))) (* 3/128 (/ (sqrt 1/2) (pow p 4))))))))>
#<alt (* 2 (/ (* p (sqrt 1/2)) x))>
#<alt (/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (* 2 (* p (sqrt 1/2)))) x)>
#<alt (/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))) (* p (pow x 4)))) (* 2 (* p (sqrt 1/2))))) x)>
#<alt (/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* -256 (pow p 8)) (* -2 (* (pow p 2) (- (* 64 (pow p 6)) (* 16 (pow p 6))))))) (* p (pow x 6)))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))) (* p (pow x 4)))) (* 2 (* p (sqrt 1/2)))))) x)>
#<alt (* -2 (/ (* p (sqrt 1/2)) x))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (* 2 (* p (sqrt 1/2)))) x))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))) (* p (pow x 4)))) (* 2 (* p (sqrt 1/2))))) x))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* -256 (pow p 8)) (* -2 (* (pow p 2) (- (* 64 (pow p 6)) (* 16 (pow p 6))))))) (* p (pow x 6)))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))) (* p (pow x 4)))) (* 2 (* p (sqrt 1/2)))))) x))>
#<alt (* 2 (/ (* p (sqrt 1/2)) x))>
#<alt (* p (+ (* -4 (/ (* (pow p 2) (sqrt 1/2)) (pow x 3))) (* 2 (/ (sqrt 1/2) x))))>
#<alt (* p (+ (* 2 (/ (sqrt 1/2) x)) (* (pow p 2) (+ (* -4 (/ (sqrt 1/2) (pow x 3))) (* 12 (/ (* (pow p 2) (sqrt 1/2)) (pow x 5)))))))>
#<alt (* p (+ (* 2 (/ (sqrt 1/2) x)) (* (pow p 2) (+ (* -4 (/ (sqrt 1/2) (pow x 3))) (* (pow p 2) (+ (* -40 (/ (* (pow p 2) (sqrt 1/2)) (pow x 7))) (* 12 (/ (sqrt 1/2) (pow x 5)))))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))))>
#<alt (+ (sqrt 1/2) (+ (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))) (pow p 4)))))>
#<alt (+ (sqrt 1/2) (+ (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/64 (pow x 6)) (* -1/8 (* (pow x 2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))))))) (pow p 6))) (* 1/2 (/ (* (sqrt 1/2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))) (pow p 4))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))))>
#<alt (+ (sqrt 1/2) (+ (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))) (pow p 4)))))>
#<alt (+ (sqrt 1/2) (+ (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/64 (pow x 6)) (* -1/8 (* (pow x 2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))))))) (pow p 6))) (* 1/2 (/ (* (sqrt 1/2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))) (pow p 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow p 2))))>
#<alt (+ 1 (* (pow x 2) (- (* 3/128 (/ (pow x 2) (pow p 4))) (* 1/8 (/ 1 (pow p 2))))))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -5/1024 (/ (pow x 2) (pow p 6))) (* 3/128 (/ 1 (pow p 4))))) (* 1/8 (/ 1 (pow p 2))))))>
#<alt (* 2 (/ p x))>
#<alt (/ (+ (* -4 (/ (pow p 3) (pow x 2))) (* 2 p)) x)>
#<alt (/ (+ (* -4 (/ (pow p 3) (pow x 2))) (+ (* 1/4 (/ (- (* 64 (pow p 6)) (* 16 (pow p 6))) (* p (pow x 4)))) (* 2 p))) x)>
#<alt (/ (+ (* -4 (/ (pow p 3) (pow x 2))) (+ (* 1/4 (/ (- (* -256 (pow p 8)) (* -2 (* (pow p 2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))))) (* p (pow x 6)))) (+ (* 1/4 (/ (- (* 64 (pow p 6)) (* 16 (pow p 6))) (* p (pow x 4)))) (* 2 p)))) x)>
#<alt (* -2 (/ p x))>
#<alt (* -1 (/ (+ (* -4 (/ (pow p 3) (pow x 2))) (* 2 p)) x))>
#<alt (* -1 (/ (+ (* -4 (/ (pow p 3) (pow x 2))) (+ (* 1/4 (/ (- (* 64 (pow p 6)) (* 16 (pow p 6))) (* p (pow x 4)))) (* 2 p))) x))>
#<alt (* -1 (/ (+ (* -4 (/ (pow p 3) (pow x 2))) (+ (* 1/4 (/ (- (* -256 (pow p 8)) (* -2 (* (pow p 2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))))) (* p (pow x 6)))) (+ (* 1/4 (/ (- (* 64 (pow p 6)) (* 16 (pow p 6))) (* p (pow x 4)))) (* 2 p)))) x))>
#<alt (* 2 (/ p x))>
#<alt (* p (+ (* -4 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x))))>
#<alt (* p (+ (* (pow p 2) (- (* 12 (/ (pow p 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))>
#<alt (* p (+ (* (pow p 2) (- (* (pow p 2) (+ (* -40 (/ (pow p 2) (pow x 7))) (* 12 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow p 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (* 1/2 (/ (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))) (pow p 4)))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (+ (* 1/2 (/ (- (* -1/64 (pow x 6)) (* -1/8 (* (pow x 2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))))) (pow p 6))) (* 1/2 (/ (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))) (pow p 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow p 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (* 1/2 (/ (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))) (pow p 4)))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (+ (* 1/2 (/ (- (* -1/64 (pow x 6)) (* -1/8 (* (pow x 2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))))) (pow p 6))) (* 1/2 (/ (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))) (pow p 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (pow x 2) (pow p 2))))>
#<alt (+ 1 (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow p 4))) (* 1/4 (/ 1 (pow p 2))))))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 6))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2))))))>
#<alt (* 4 (/ (pow p 2) (pow x 2)))>
#<alt (/ (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))>
#<alt (/ (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))>
#<alt (* 4 (/ (pow p 2) (pow x 2)))>
#<alt (/ (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))>
#<alt (/ (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))>
#<alt (* 4 (/ (pow p 2) (pow x 2)))>
#<alt (* (pow p 2) (+ (* -16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (+ (* (pow p 2) (- (* 64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -256 (/ (pow p 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (pow x 2) (pow p 2))))>
#<alt (+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (* 1/16 (/ (pow x 4) (pow p 4)))))>
#<alt (+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (+ (* -1/64 (/ (pow x 6) (pow p 6))) (* 1/16 (/ (pow x 4) (pow p 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (pow x 2) (pow p 2))))>
#<alt (+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (* 1/16 (/ (pow x 4) (pow p 4)))))>
#<alt (+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (+ (* -1/64 (/ (pow x 6) (pow p 6))) (* 1/16 (/ (pow x 4) (pow p 4))))))>
#<alt (* 4 (pow p 2))>
#<alt (+ (* 4 (pow p 2)) (pow x 2))>
#<alt (+ (* 4 (pow p 2)) (pow x 2))>
#<alt (+ (* 4 (pow p 2)) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* 4 (pow p 2)) (pow x 2))>
#<alt (+ (* 4 (pow p 2)) (pow x 2))>
#<alt (+ (* 4 (pow p 2)) (pow x 2))>
#<alt (* 4 (pow p 2))>
#<alt (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))>
#<alt (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))>
#<alt (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))>
#<alt (* 4 (pow p 2))>
#<alt (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))>
#<alt (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))>
#<alt (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ x p)))>
#<alt (+ 1 (* x (- (* 1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))>
#<alt (+ 1 (* x (- (* (pow x 2) (+ (* -3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (/ (- (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -2 (pow p 2))) (pow x 2))>
#<alt (/ (- (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (+ (* -2 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))))) (pow x 2))>
#<alt (/ (- (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4)))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* -2 (/ (pow p 2) (pow x 2))))>
#<alt (- (+ 2 (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2))))>
#<alt (- (+ 2 (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (* (pow p 2) (+ (* -6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (+ (* (pow p 2) (- (* 20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -70 (/ (pow p 2) (pow x 8))) (* 20 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ x p)))>
#<alt (- (+ 1 (* 1/16 (/ (pow x 3) (pow p 3)))) (* 1/2 (/ x p)))>
#<alt (- (+ 1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ x p)))>
#<alt (+ 1 (* -1 (/ (- (* 1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))>
#<alt (+ 1 (* -1 (/ (- (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4)) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)))>

Calls

111 calls:

Time	Variable		Point	Expression
38.0ms	p	@	0	(/ (* (sqrt (+ (* (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1)) (sqrt 1/2)) (sqrt (- 1 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))))
28.0ms	p	@	inf	(sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2))
4.0ms	x	@	inf	(/ (* (sqrt (+ (* (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1)) (sqrt 1/2)) (sqrt (- 1 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))))
3.0ms	p	@	inf	(* (sqrt (+ (* (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1)) (sqrt 1/2))
3.0ms	x	@	-inf	(/ (* (sqrt (+ (* (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1)) (sqrt 1/2)) (sqrt (- 1 (/ x (sqrt (+ (* x x) (* p (* 4 p))))))))

simplify649.0ms (5.4%)

Memory

19.7MiB live, 676.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 474×	`lower-fma.f64`
9 474×	`lower-fma.f32`
7 426×	`lower-*.f64`
7 426×	`lower-*.f32`
5 078×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1020	10397
1	3216	10056
0	8420	9428

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 442

Calls

Call 1

Inputs
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))
(* -1 (/ p x))
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x))
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
1
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(/ (pow p 2) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))
1
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))
1/2
(+ 1/2 (* -1/4 (/ x p)))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))
(* 1/2 (/ x p))
(* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))
(* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/2048 (/ (pow x 2) (pow p 7))) (* 3/256 (/ 1 (pow p 5))))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))
1
(+ 1 (* -2 (/ (pow p 2) (pow x 2))))
(+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
-1
(- (* 2 (/ (pow p 2) (pow x 2))) 1)
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 1)
1
(+ 1 (* -2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
(* 1/2 (/ x p))
(/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p)
(* -1/2 (/ x p))
(* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p))
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p))
(* 2 p)
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
x
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))
x
(+ x (* 2 (/ (pow p 2) x)))
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(* 2 p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -2 p)
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
1
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(/ (pow p 2) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))
1
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))
1/2
(+ 1/2 (* -1/4 (/ x p)))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
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1/2
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1
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(sqrt 1/2)
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(sqrt 1/2)
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(sqrt 1/2)
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(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))))
(+ (sqrt 1/2) (* (pow x 2) (+ (* -1/8 (/ (sqrt 1/2) (pow p 2))) (* 3/128 (/ (* (pow x 2) (sqrt 1/2)) (pow p 4))))))
(+ (sqrt 1/2) (* (pow x 2) (+ (* -1/8 (/ (sqrt 1/2) (pow p 2))) (* (pow x 2) (+ (* -5/1024 (/ (* (pow x 2) (sqrt 1/2)) (pow p 6))) (* 3/128 (/ (sqrt 1/2) (pow p 4))))))))
(* 2 (/ (* p (sqrt 1/2)) x))
(/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (* 2 (* p (sqrt 1/2)))) x)
(/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))) (* p (pow x 4)))) (* 2 (* p (sqrt 1/2))))) x)
(/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* -256 (pow p 8)) (* -2 (* (pow p 2) (- (* 64 (pow p 6)) (* 16 (pow p 6))))))) (* p (pow x 6)))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))) (* p (pow x 4)))) (* 2 (* p (sqrt 1/2)))))) x)
(* -2 (/ (* p (sqrt 1/2)) x))
(* -1 (/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (* 2 (* p (sqrt 1/2)))) x))
(* -1 (/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))) (* p (pow x 4)))) (* 2 (* p (sqrt 1/2))))) x))
(* -1 (/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* -256 (pow p 8)) (* -2 (* (pow p 2) (- (* 64 (pow p 6)) (* 16 (pow p 6))))))) (* p (pow x 6)))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))) (* p (pow x 4)))) (* 2 (* p (sqrt 1/2)))))) x))
(* 2 (/ (* p (sqrt 1/2)) x))
(* p (+ (* -4 (/ (* (pow p 2) (sqrt 1/2)) (pow x 3))) (* 2 (/ (sqrt 1/2) x))))
(* p (+ (* 2 (/ (sqrt 1/2) x)) (* (pow p 2) (+ (* -4 (/ (sqrt 1/2) (pow x 3))) (* 12 (/ (* (pow p 2) (sqrt 1/2)) (pow x 5)))))))
(* p (+ (* 2 (/ (sqrt 1/2) x)) (* (pow p 2) (+ (* -4 (/ (sqrt 1/2) (pow x 3))) (* (pow p 2) (+ (* -40 (/ (* (pow p 2) (sqrt 1/2)) (pow x 7))) (* 12 (/ (sqrt 1/2) (pow x 5)))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))))
(+ (sqrt 1/2) (+ (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))) (pow p 4)))))
(+ (sqrt 1/2) (+ (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/64 (pow x 6)) (* -1/8 (* (pow x 2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))))))) (pow p 6))) (* 1/2 (/ (* (sqrt 1/2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))) (pow p 4))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))))
(+ (sqrt 1/2) (+ (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))) (pow p 4)))))
(+ (sqrt 1/2) (+ (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/64 (pow x 6)) (* -1/8 (* (pow x 2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))))))) (pow p 6))) (* 1/2 (/ (* (sqrt 1/2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))) (pow p 4))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow p 2))))
(+ 1 (* (pow x 2) (- (* 3/128 (/ (pow x 2) (pow p 4))) (* 1/8 (/ 1 (pow p 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -5/1024 (/ (pow x 2) (pow p 6))) (* 3/128 (/ 1 (pow p 4))))) (* 1/8 (/ 1 (pow p 2))))))
(* 2 (/ p x))
(/ (+ (* -4 (/ (pow p 3) (pow x 2))) (* 2 p)) x)
(/ (+ (* -4 (/ (pow p 3) (pow x 2))) (+ (* 1/4 (/ (- (* 64 (pow p 6)) (* 16 (pow p 6))) (* p (pow x 4)))) (* 2 p))) x)
(/ (+ (* -4 (/ (pow p 3) (pow x 2))) (+ (* 1/4 (/ (- (* -256 (pow p 8)) (* -2 (* (pow p 2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))))) (* p (pow x 6)))) (+ (* 1/4 (/ (- (* 64 (pow p 6)) (* 16 (pow p 6))) (* p (pow x 4)))) (* 2 p)))) x)
(* -2 (/ p x))
(* -1 (/ (+ (* -4 (/ (pow p 3) (pow x 2))) (* 2 p)) x))
(* -1 (/ (+ (* -4 (/ (pow p 3) (pow x 2))) (+ (* 1/4 (/ (- (* 64 (pow p 6)) (* 16 (pow p 6))) (* p (pow x 4)))) (* 2 p))) x))
(* -1 (/ (+ (* -4 (/ (pow p 3) (pow x 2))) (+ (* 1/4 (/ (- (* -256 (pow p 8)) (* -2 (* (pow p 2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))))) (* p (pow x 6)))) (+ (* 1/4 (/ (- (* 64 (pow p 6)) (* 16 (pow p 6))) (* p (pow x 4)))) (* 2 p)))) x))
(* 2 (/ p x))
(* p (+ (* -4 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x))))
(* p (+ (* (pow p 2) (- (* 12 (/ (pow p 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))
(* p (+ (* (pow p 2) (- (* (pow p 2) (+ (* -40 (/ (pow p 2) (pow x 7))) (* 12 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow p 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (* 1/2 (/ (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))) (pow p 4)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (+ (* 1/2 (/ (- (* -1/64 (pow x 6)) (* -1/8 (* (pow x 2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))))) (pow p 6))) (* 1/2 (/ (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))) (pow p 4))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow p 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (* 1/2 (/ (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))) (pow p 4)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (+ (* 1/2 (/ (- (* -1/64 (pow x 6)) (* -1/8 (* (pow x 2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))))) (pow p 6))) (* 1/2 (/ (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))) (pow p 4))))))
1
(+ 1 (* -1/4 (/ (pow x 2) (pow p 2))))
(+ 1 (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow p 4))) (* 1/4 (/ 1 (pow p 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 6))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2))))))
(* 4 (/ (pow p 2) (pow x 2)))
(/ (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))
(/ (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4))))) (pow x 2))
(/ (+ (* -256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))
(* 4 (/ (pow p 2) (pow x 2)))
(/ (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))
(/ (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4))))) (pow x 2))
(/ (+ (* -256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))
(* 4 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (+ (* -16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(* (pow p 2) (+ (* (pow p 2) (- (* 64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
(* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -256 (/ (pow p 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/4 (/ (pow x 2) (pow p 2))))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (* 1/16 (/ (pow x 4) (pow p 4)))))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (+ (* -1/64 (/ (pow x 6) (pow p 6))) (* 1/16 (/ (pow x 4) (pow p 4))))))
1
(+ 1 (* -1/4 (/ (pow x 2) (pow p 2))))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (* 1/16 (/ (pow x 4) (pow p 4)))))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (+ (* -1/64 (/ (pow x 6) (pow p 6))) (* 1/16 (/ (pow x 4) (pow p 4))))))
(* 4 (pow p 2))
(+ (* 4 (pow p 2)) (pow x 2))
(+ (* 4 (pow p 2)) (pow x 2))
(+ (* 4 (pow p 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(pow x 2)
(+ (* 4 (pow p 2)) (pow x 2))
(+ (* 4 (pow p 2)) (pow x 2))
(+ (* 4 (pow p 2)) (pow x 2))
(* 4 (pow p 2))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(* 4 (pow p 2))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
1
(+ 1 (* -1/2 (/ x p)))
(+ 1 (* x (- (* 1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))
(+ 1 (* x (- (* (pow x 2) (+ (* -3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))
(* 2 (/ (pow p 2) (pow x 2)))
(/ (- (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -2 (pow p 2))) (pow x 2))
(/ (- (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (+ (* -2 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))))) (pow x 2))
(/ (- (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4)))))) (pow x 2))
2
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(- (+ 2 (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2))))
(- (+ 2 (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))
(* 2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (+ (* -6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (+ (* (pow p 2) (- (* 20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -70 (/ (pow p 2) (pow x 8))) (* 20 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/2 (/ x p)))
(- (+ 1 (* 1/16 (/ (pow x 3) (pow p 3)))) (* 1/2 (/ x p)))
(- (+ 1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))
1
(+ 1 (* 1/2 (/ x p)))
(+ 1 (* -1 (/ (- (* 1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
(+ 1 (* -1 (/ (- (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4)) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)))

Outputs
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(fma.f64 x (fma.f64 #s(literal -1/128 binary64) (/.f64 x (.f64 (.f64 p (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) p)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(fma.f64 x (fma.f64 x (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 p (.f64 p p)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal -1/32 binary64) (.f64 p (.f64 p p)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/128 binary64) (.f64 (.f64 p (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) p))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) (sqrt.f64 #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 p p) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 p p)) (.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))))))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p (*.f64 x x))) p) (neg.f64 x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 p p) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64) (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 p p)) #s(literal -1/64 binary64)))) (.f64 p (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p (.f64 x x))) p)) (neg.f64 x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 p p) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64) (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 p p)) #s(literal -1/64 binary64)))) (.f64 p p)))) (.f64 p (pow.f64 x #s(literal 6 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 p p) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 16 binary64) (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 p p)) #s(literal -1/64 binary64)))) (.f64 p (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p (*.f64 x x))) p)) (neg.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 (.f64 p p) (fma.f64 #s(literal 11/8 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -69/16 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 11/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) #s(literal 1 binary64))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 x x) (.f64 (.f64 p (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) p)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))
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#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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(/ (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(/ (+ (* -256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))
(/.f64 (fma.f64 #s(literal -256 binary64) (/.f64 (pow.f64 p #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (.f64 x x))
(* 4 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 x x))
(/ (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))
(/.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 x x))) (.f64 x x))
(/ (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(/ (+ (* -256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))
(/.f64 (fma.f64 #s(literal -256 binary64) (/.f64 (pow.f64 p #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (.f64 x x))
(* 4 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 x x))
(* (pow p 2) (+ (* -16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(.f64 (.f64 p p) (fma.f64 #s(literal -16 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x))))
(* (pow p 2) (+ (* (pow p 2) (- (* 64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
(.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal 64 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (*.f64 x x))))
(* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -256 (/ (pow p 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
(.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (pow x 2) (pow p 2))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) #s(literal 1 binary64))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (* 1/16 (/ (pow x 4) (pow p 4)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (+ (* -1/64 (/ (pow x 6) (pow p 6))) (* 1/16 (/ (pow x 4) (pow p 4))))))
(+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/64 binary64)) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (pow x 2) (pow p 2))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) #s(literal 1 binary64))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (* 1/16 (/ (pow x 4) (pow p 4)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (+ (* -1/64 (/ (pow x 6) (pow p 6))) (* 1/16 (/ (pow x 4) (pow p 4))))))
(+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 p p)) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/64 binary64)) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal 1 binary64)))
(* 4 (pow p 2))
(.f64 (.f64 p p) #s(literal 4 binary64))
(+ (* 4 (pow p 2)) (pow x 2))
(fma.f64 x x (.f64 (.f64 p p) #s(literal 4 binary64)))
(+ (* 4 (pow p 2)) (pow x 2))
(fma.f64 x x (.f64 (.f64 p p) #s(literal 4 binary64)))
(+ (* 4 (pow p 2)) (pow x 2))
(fma.f64 x x (.f64 (.f64 p p) #s(literal 4 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(+ (* 4 (pow p 2)) (pow x 2))
(fma.f64 x x (.f64 (.f64 p p) #s(literal 4 binary64)))
(+ (* 4 (pow p 2)) (pow x 2))
(fma.f64 x x (.f64 (.f64 p p) #s(literal 4 binary64)))
(+ (* 4 (pow p 2)) (pow x 2))
(fma.f64 x x (.f64 (.f64 p p) #s(literal 4 binary64)))
(* 4 (pow p 2))
(.f64 (.f64 p p) #s(literal 4 binary64))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(.f64 (.f64 p p) (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 p p))))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(.f64 (.f64 p p) (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 p p))))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(.f64 (.f64 p p) (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 p p))))
(* 4 (pow p 2))
(.f64 (.f64 p p) #s(literal 4 binary64))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(.f64 (.f64 p p) (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 p p))))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(.f64 (.f64 p p) (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 p p))))
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))
(.f64 (.f64 p p) (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 p p))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ x p)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(+ 1 (* x (- (* 1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))
(fma.f64 x (fma.f64 (/.f64 (.f64 x x) (.f64 p (*.f64 p p))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 1 binary64))
(+ 1 (* x (- (* (pow x 2) (+ (* -3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (/.f64 (.f64 x x) (pow.f64 p #s(literal 5 binary64))) #s(literal -3/256 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 p (.f64 p p)))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 1 binary64))
(* 2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (*.f64 x x))
(/ (- (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -2 (pow p 2))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 p p))) (*.f64 x x))
(/ (- (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (+ (* -2 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 (.f64 p p) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 p p) #s(literal -2 binary64) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (.f64 x x)))) (*.f64 x x))
(/ (- (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4)))))) (pow x 2))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))))) (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -128 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 p p) #s(literal -2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (.f64 p p) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal -32 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64) #s(literal 2 binary64))
(- (+ 2 (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 p p) (*.f64 x x)) #s(literal -2 binary64) #s(literal 2 binary64)))
(- (+ 2 (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))
(+.f64 #s(literal 2 binary64) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (.f64 p p) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal -32 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 x x)))))
(* 2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (*.f64 x x))
(* (pow p 2) (+ (* -6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 p p) (fma.f64 (/.f64 (.f64 p p) (pow.f64 x #s(literal 4 binary64))) #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(* (pow p 2) (+ (* (pow p 2) (- (* 20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) #s(literal 20 binary64) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -70 (/ (pow p 2) (pow x 8))) (* 20 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) #s(literal -70 binary64) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 2 binary64) (.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ x p)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(- (+ 1 (* 1/16 (/ (pow x 3) (pow p 3)))) (* 1/2 (/ x p)))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 p (.f64 p p))) #s(literal 1/16 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x p) #s(literal 1 binary64)))
(- (+ 1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))
(-.f64 (fma.f64 x (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 p #s(literal 5 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 p (.f64 p p))) #s(literal -1/16 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x p))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ x p)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* 1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 p p)) #s(literal 1/16 binary64) (.f64 x #s(literal -1/2 binary64))) p))
(+ 1 (* -1 (/ (- (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4)) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 (.f64 #s(literal -1/16 binary64) (.f64 x x)) x) (.f64 p p)))) p))

rewrite469.0ms (3.9%)

Memory

-10.0MiB live, 642.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 220×	`lower-fma.f32`
5 212×	`lower-fma.f64`
4 318×	`lower-/.f32`
4 308×	`lower-/.f64`
4 258×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	286
0	66	259
1	255	253
2	1541	253
0	8377	253

Stop Event

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

Counts

19 → 619

Calls

Call 1

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

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

eval401.0ms (3.4%)

Memory: 8.2MiB live, 310.5MiB allocated
Compiler: Compiled 55 299 to 4 017 computations (92.7% saved)

prune227.0ms (1.9%)

Memory

-29.6MiB live, 276.2MiB allocated

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	1 444	11	1 455
Fresh	6	3	9
Picked	1	4	5
Done	0	0	0
Total	1 451	18	1 469

Accuracy

99.9%

Counts

1 469 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.0%	(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (- 1 (/ x (sqrt (+ ( x x) (* p (* 4 p)))))) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64) #s(literal 2 binary64)))))
	53.8%	(/.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64))))))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64))))))) (.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))))))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))))))
	53.9%	(/.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64))))))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))))
▶	12.7%	(/.f64 (.f64 (sqrt.f64 #s(approx (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))))
	15.4%	(/.f64 (.f64 #s(approx (sqrt (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 48 binary64)))) (.f64 p (pow.f64 x #s(literal 6 binary64)))) (/.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 48 binary64)) (.f64 p (pow.f64 x #s(literal 4 binary64))))) (fma.f64 p #s(literal 2 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 p (.f64 p p))) (.f64 x x)))) (neg.f64 x))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))))))
✓	80.6%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	77.7%	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) x #s(literal 1/2 binary64)))
	7.3%	(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* p (* 4 p))))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	50.3%	(sqrt.f64 (fma.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))
▶	51.1%	(sqrt.f64 (/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64))))
	12.8%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 144 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal -256 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p)))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 p p)) (*.f64 x x))))
	15.8%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x))) (.f64 p p)) (*.f64 x x))))
✓	18.0%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
✓	55.1%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
▶	77.7%	(exp.f64 (.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
	29.1%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))
	25.5%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x)))
▶	38.3%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) #s(literal 1 binary64))

Compiler

Compiled 1 230 to 560 computations (54.5% saved)

simplify429.0ms (3.6%)

Memory

16.0MiB live, 604.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (+ (* (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))
✓	cost-diff	0	(sqrt.f64 #s(approx (+ (* (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(approx (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(approx (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))))
✓	cost-diff	0	(fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64)))
✓	cost-diff	0	(sqrt.f64 (/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1/4 binary64) p)
✓	cost-diff	0	#s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p))
✓	cost-diff	0	(fma.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))
✓	cost-diff	0	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64))
✓	cost-diff	0	(log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	12480	(exp.f64 (.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))

Rules

18 852×	`lower-fma.f32`
18 838×	`lower-fma.f64`
4 868×	`lower-*.f32`
4 850×	`lower-*.f64`
1 858×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	782
0	120	779
1	201	774
2	392	774
3	852	774
4	1768	774
5	2787	774
6	4268	774
7	6884	774
0	8314	774

Stop Event

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

Calls

Call 1

Inputs
(exp.f64 (.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64))
x
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64))))))
#s(literal 1/2 binary64)
(sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))
(fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64))))
(.f64 p (.f64 p #s(literal 4 binary64)))
p
(*.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (fma.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64))
#s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p))
(/.f64 #s(literal 1/4 binary64) p)
#s(literal 1/4 binary64)
p
x
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64)))
(.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64))
x
(/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))
(fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))
(.f64 p (.f64 #s(literal 4 binary64) p))
p
(*.f64 #s(literal 4 binary64) p)
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))
(sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))
(/.f64 (.f64 (sqrt.f64 #s(approx (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))))
(.f64 (sqrt.f64 #s(approx (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (+ (* (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
#s(approx (+ (* (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))
(.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x))))
(*.f64 p p)
p
(fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))
(fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal -256 binary64) (/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(literal -256 binary64)
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(pow.f64 x #s(literal 8 binary64))
x
#s(literal 8 binary64)
(/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))
#s(literal 64 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal -16 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(*.f64 x x)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))))
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))
#s(literal 1 binary64)
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))
(sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))
(fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))
(.f64 p (.f64 #s(literal 4 binary64) p))
(*.f64 #s(literal 4 binary64) p)

Outputs
(exp.f64 (.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x)))) #s(literal 1/2 binary64)))
(.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 p (.f64 p #s(literal 4 binary64)) (*.f64 x x)))) #s(literal 1/2 binary64))))
(log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64)))
(log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x)))) #s(literal 1/2 binary64)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x)))) #s(literal 1/2 binary64))
x
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64))))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x))))
#s(literal 1/2 binary64)
(sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x)))
(fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64))))
(fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x))
(.f64 p (.f64 p #s(literal 4 binary64)))
p
(*.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (fma.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 x #s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p)) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64))
(fma.f64 x #s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p)) #s(literal 1/2 binary64))
#s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p))
(/.f64 #s(literal 1/4 binary64) p)
#s(literal 1/4 binary64)
p
x
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64))))
(sqrt.f64 (/.f64 (fma.f64 (/.f64 x (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 p (.f64 p #s(literal 4 binary64)) (*.f64 x x)))))))
(/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64)))
(/.f64 (fma.f64 (/.f64 x (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x))) (.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 p (.f64 p #s(literal 4 binary64)) (*.f64 x x))))))
(.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x))) (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64))
(fma.f64 x (/.f64 x (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x))) #s(literal -1 binary64))
x
(/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))
(/.f64 x (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x)))
(fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))
(fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x))
(.f64 p (.f64 #s(literal 4 binary64) p))
(.f64 p (.f64 p #s(literal 4 binary64)))
p
(*.f64 #s(literal 4 binary64) p)
(*.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x)))))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))
(/.f64 x (sqrt.f64 (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x))))
(sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))
(sqrt.f64 (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x)))
(/.f64 (.f64 (sqrt.f64 #s(approx (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))))
(.f64 (sqrt.f64 #s(approx (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (/.f64 p (pow.f64 x #s(literal 8 binary64))) (.f64 p #s(literal -256 binary64)) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x))))))))
(.f64 (sqrt.f64 #s(approx (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(approx (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (/.f64 p (pow.f64 x #s(literal 8 binary64))) (.f64 p #s(literal -256 binary64)) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (+ (* (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
(sqrt.f64 #s(approx (+ (* (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (/.f64 p (pow.f64 x #s(literal 8 binary64))) (.f64 p #s(literal -256 binary64)) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
#s(approx (+ (* (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))
#s(approx (+ (* (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (/.f64 p (pow.f64 x #s(literal 8 binary64))) (.f64 p #s(literal -256 binary64)) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))
(.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x))))
(.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (/.f64 p (pow.f64 x #s(literal 8 binary64))) (.f64 p #s(literal -256 binary64)) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x))))
(*.f64 p p)
p
(fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))
(fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (/.f64 p (pow.f64 x #s(literal 8 binary64))) (.f64 p #s(literal -256 binary64)) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))
(fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 p p) (fma.f64 (/.f64 p (pow.f64 x #s(literal 8 binary64))) (.f64 p #s(literal -256 binary64)) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal -256 binary64) (/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))
(fma.f64 (/.f64 p (pow.f64 x #s(literal 8 binary64))) (*.f64 p #s(literal -256 binary64)) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(literal -256 binary64)
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(pow.f64 x #s(literal 8 binary64))
x
#s(literal 8 binary64)
(/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))
#s(literal 64 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal -16 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(*.f64 x x)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x))))))
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x)))))
#s(literal 1 binary64)
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))))
(/.f64 x (sqrt.f64 (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x))))
(sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))
(sqrt.f64 (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x)))
(fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))
(fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x))
(.f64 p (.f64 #s(literal 4 binary64) p))
(.f64 p (.f64 p #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) p)
(*.f64 p #s(literal 4 binary64))

localize386.0ms (3.2%)

Memory

-0.7MiB live, 881.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	77.0%	(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
✓	accuracy	76.0%	(sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))
✓	accuracy	72.7%	(fma.f64 #s(literal -256 binary64) (/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))
✓	accuracy	51.5%	#s(approx (+ (* (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))
✓	accuracy	87.9%	(/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64)))
✓	accuracy	86.6%	(+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64))
✓	accuracy	76.0%	(sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))
✓	accuracy	51.8%	(fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1/4 binary64) p)
✓	accuracy	93.9%	(sqrt.f64 (fma.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))
✓	accuracy	77.8%	(fma.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64))
✓	accuracy	51.2%	#s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p))
✓	accuracy	38.3%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) #s(literal 1 binary64))
✓	accuracy	98.2%	(exp.f64 (.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	77.8%	(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64))
✓	accuracy	77.6%	(log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64)))
✓	accuracy	76.0%	(sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))

Samples

118.0ms	65×	2	valid
63.0ms	129×	0	valid
50.0ms	25×	3	valid
36.0ms	37×	1	valid

Compiler

Compiled 673 to 69 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 218.0ms

ival-mult: 63.0ms (28.8% of total)

ival-div: 32.0ms (14.7% of total)

adjust: 27.0ms (12.4% of total)

ival-sqrt: 25.0ms (11.4% of total)

ival-log: 25.0ms (11.4% of total)

ival-add: 23.0ms (10.5% of total)

ival-pow: 14.0ms (6.4% of total)

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

ival-sub: 3.0ms (1.4% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series46.0ms (0.4%)

Memory

-17.9MiB live, 103.3MiB allocated

Counts

22 → 516

Calls

Call 1

Inputs
#<alt (exp.f64 (.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))>
#<alt (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64)))>
#<alt (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64))>
#<alt #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) #s(literal 1 binary64))>
#<alt (sqrt.f64 (fma.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))>
#<alt (fma.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64))>
#<alt #s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p))>
#<alt (/.f64 #s(literal 1/4 binary64) p)>
#<alt (sqrt.f64 (/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64))))>
#<alt (/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64)))>
#<alt (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))>
#<alt (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64))>
#<alt (/.f64 (.f64 (sqrt.f64 #s(approx (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))))>
#<alt (.f64 (sqrt.f64 #s(approx (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 #s(approx (+ (* (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x))))))>
#<alt #s(approx (+ (* (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))>
#<alt (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))>
#<alt (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))>
#<alt (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64))>
#<alt (fma.f64 #s(literal -256 binary64) (/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))>
#<alt (/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))>

Outputs
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))>
#<alt (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))>
#<alt (* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x))>
#<alt (* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))>
#<alt (* 1/2 (log 1/2))>
#<alt (+ (* 1/4 (/ x p)) (* 1/2 (log 1/2)))>
#<alt (+ (* 1/2 (log 1/2)) (* x (+ (* -1/16 (/ x (pow p 2))) (* 1/4 (/ 1 p)))))>
#<alt (+ (* 1/2 (log 1/2)) (* x (+ (* x (- (* -1/96 (/ x (pow p 3))) (* 1/16 (/ 1 (pow p 2))))) (* 1/4 (/ 1 p)))))>
#<alt (* -1/2 (/ (pow p 2) (pow x 2)))>
#<alt (/ (+ (* -1/2 (pow p 2)) (* 1/48 (/ (+ (* -12 (pow p 4)) (* -6 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2)))) (pow x 2))>
#<alt (/ (+ (* -1/2 (pow p 2)) (+ (* 1/1440 (/ (+ (* -240 (pow p 6)) (+ (* -180 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -180 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))) (pow x 4))) (* 1/48 (/ (+ (* -12 (pow p 4)) (* -6 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2))))) (pow x 2))>
#<alt (/ (+ (* -1/2 (pow p 2)) (+ (* 1/80640 (/ (+ (* -10080 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -10080 (* (pow p 4) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -10080 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (+ (* -10080 (pow p 8)) (* -1260 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)))))) (pow x 6))) (+ (* 1/1440 (/ (+ (* -240 (pow p 6)) (+ (* -180 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -180 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))) (pow x 4))) (* 1/48 (/ (+ (* -12 (pow p 4)) (* -6 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2)))))) (pow x 2))>
#<alt (* 1/2 (+ (log (pow p 2)) (* 2 (log (/ -1 x)))))>
#<alt (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 1/2 (+ (log (pow p 2)) (* 2 (log (/ -1 x))))))>
#<alt (+ (* 1/48 (/ (+ (* -3/4 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 4))) (* 6 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2)))) (pow x 4))) (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 1/2 (+ (log (pow p 2)) (* 2 (log (/ -1 x)))))))>
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#<alt (/ 1/2 x)>
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#<alt (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -128 (pow p 6)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2)))))) (pow p 2))) (+ (* 1/4 (/ (* (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (+ (* 1/2 (/ (* (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (+ (* 1/4 (/ (pow (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) 2) (pow (sqrt 2) 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))))))) (pow (sqrt 2) 2))) (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow p 2)))))))) (* (pow x 6) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (+ (* 1/4 (/ (pow (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) 2) (pow (sqrt 2) 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))))))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))>
#<alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))>
#<alt (* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))>
#<alt (* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))>
#<alt (* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -128 (pow p 8)) (+ (* -1 (* (pow p 2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -1/4 (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* 1/2 (/ (* (- (* -8 (pow p 4)) (* -2 (pow p 4))) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* (pow p 2) (pow (sqrt 2) 2))))))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))>
#<alt (* (sqrt 1/2) (sqrt 2))>
#<alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))>
#<alt (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))>
#<alt (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
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#<alt (+ (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/64 (pow x 3)) (* 1/16 (pow x 3)))) (pow p 3))) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))>
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#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))))>
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#<alt (/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* -256 (pow p 8)) (* -2 (* (pow p 2) (- (* 64 (pow p 6)) (* 16 (pow p 6))))))) (* p (pow x 6)))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))) (* p (pow x 4)))) (* 2 (* p (sqrt 1/2)))))) x)>
#<alt (* -2 (/ (* p (sqrt 1/2)) x))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (* 2 (* p (sqrt 1/2)))) x))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))) (* p (pow x 4)))) (* 2 (* p (sqrt 1/2))))) x))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* -256 (pow p 8)) (* -2 (* (pow p 2) (- (* 64 (pow p 6)) (* 16 (pow p 6))))))) (* p (pow x 6)))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))) (* p (pow x 4)))) (* 2 (* p (sqrt 1/2)))))) x))>
#<alt (* 2 (/ (* p (sqrt 1/2)) x))>
#<alt (* p (+ (* -4 (/ (* (pow p 2) (sqrt 1/2)) (pow x 3))) (* 2 (/ (sqrt 1/2) x))))>
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#<alt (* p (+ (* 2 (/ (sqrt 1/2) x)) (* (pow p 2) (+ (* -4 (/ (sqrt 1/2) (pow x 3))) (* (pow p 2) (+ (* -40 (/ (* (pow p 2) (sqrt 1/2)) (pow x 7))) (* 12 (/ (sqrt 1/2) (pow x 5)))))))))>
#<alt (sqrt 1/2)>
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#<alt (+ (sqrt 1/2) (+ (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/64 (pow x 6)) (* -1/8 (* (pow x 2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))))))) (pow p 6))) (* 1/2 (/ (* (sqrt 1/2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))) (pow p 4))))))>
#<alt (sqrt 1/2)>
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#<alt (+ (sqrt 1/2) (+ (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/64 (pow x 6)) (* -1/8 (* (pow x 2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))))))) (pow p 6))) (* 1/2 (/ (* (sqrt 1/2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))) (pow p 4))))))>
#<alt 1>
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#<alt (* 2 (/ p x))>
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#<alt (* -2 (/ p x))>
#<alt (* -1 (/ (+ (* -4 (/ (pow p 3) (pow x 2))) (* 2 p)) x))>
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#<alt (* -1 (/ (+ (* -4 (/ (pow p 3) (pow x 2))) (+ (* 1/4 (/ (- (* -256 (pow p 8)) (* -2 (* (pow p 2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))))) (* p (pow x 6)))) (+ (* 1/4 (/ (- (* 64 (pow p 6)) (* 16 (pow p 6))) (* p (pow x 4)))) (* 2 p)))) x))>
#<alt (* 2 (/ p x))>
#<alt (* p (+ (* -4 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x))))>
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#<alt (* p (+ (* (pow p 2) (- (* (pow p 2) (+ (* -40 (/ (pow p 2) (pow x 7))) (* 12 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))>
#<alt 1>
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#<alt 1>
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#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (+ (* 1/2 (/ (- (* -1/64 (pow x 6)) (* -1/8 (* (pow x 2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))))) (pow p 6))) (* 1/2 (/ (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))) (pow p 4))))))>
#<alt 1>
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#<alt (* 4 (/ (pow p 2) (pow x 2)))>
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#<alt (* 4 (/ (pow p 2) (pow x 2)))>
#<alt (* (pow p 2) (+ (* -16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))>
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#<alt (* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -256 (/ (pow p 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))>
#<alt 1>
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#<alt 1>
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#<alt (* 2 p)>
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#<alt x>
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#<alt (* -1 x)>
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#<alt (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))>
#<alt x>
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#<alt (* 2 p)>
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#<alt (* -2 p)>
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#<alt (* 2 p)>
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#<alt (+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))>
#<alt x>
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#<alt (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))>
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#<alt (* -1 x)>
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#<alt (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))>
#<alt x>
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#<alt (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))>
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#<alt (* 2 p)>
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#<alt (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))>
#<alt (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))>
#<alt (* -2 p)>
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#<alt (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))>
#<alt (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))>
#<alt -1>
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#<alt (- (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))) 1)>
#<alt (- (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))) 1)>
#<alt (* -2 (/ (pow p 2) (pow x 2)))>
#<alt (/ (+ (* -2 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2)))) (pow x 2))>
#<alt (/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4)))))) (pow x 2))>
#<alt -2>
#<alt (- (* 2 (/ (pow p 2) (pow x 2))) 2)>
#<alt (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 2)>
#<alt (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 2)>
#<alt (* -2 (/ (pow p 2) (pow x 2)))>
#<alt (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 70 (/ (pow p 2) (pow x 8))) (* 20 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))>
#<alt -1>
#<alt (- (* 1/2 (/ x p)) 1)>
#<alt (- (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))) 1)>
#<alt (- (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))) 1)>
#<alt -1>
#<alt (- (* -1/2 (/ x p)) 1)>
#<alt (- (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)) 1)>
#<alt (/ 64 (pow x 6))>
#<alt (+ (* -256 (/ (pow p 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))>
#<alt (+ (* -256 (/ (pow p 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))>
#<alt (+ (* -256 (/ (pow p 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))>
#<alt (* -256 (/ (pow p 2) (pow x 8)))>
#<alt (* (pow p 2) (- (* 64 (/ 1 (* (pow p 2) (pow x 6)))) (* 256 (/ 1 (pow x 8)))))>
#<alt (* (pow p 2) (- (* 64 (/ 1 (* (pow p 2) (pow x 6)))) (* 256 (/ 1 (pow x 8)))))>
#<alt (* (pow p 2) (- (* 64 (/ 1 (* (pow p 2) (pow x 6)))) (* 256 (/ 1 (pow x 8)))))>
#<alt (* -256 (/ (pow p 2) (pow x 8)))>
#<alt (* (pow p 2) (- (* 64 (/ 1 (* (pow p 2) (pow x 6)))) (* 256 (/ 1 (pow x 8)))))>
#<alt (* (pow p 2) (- (* 64 (/ 1 (* (pow p 2) (pow x 6)))) (* 256 (/ 1 (pow x 8)))))>
#<alt (* (pow p 2) (- (* 64 (/ 1 (* (pow p 2) (pow x 6)))) (* 256 (/ 1 (pow x 8)))))>
#<alt (* -256 (/ (pow p 2) (pow x 8)))>
#<alt (/ (+ (* -256 (pow p 2)) (* 64 (pow x 2))) (pow x 8))>
#<alt (/ (+ (* -256 (pow p 2)) (* 64 (pow x 2))) (pow x 8))>
#<alt (/ (+ (* -256 (pow p 2)) (* 64 (pow x 2))) (pow x 8))>
#<alt (/ 64 (pow x 6))>
#<alt (/ (+ 64 (* -256 (/ (pow p 2) (pow x 2)))) (pow x 6))>
#<alt (/ (+ 64 (* -256 (/ (pow p 2) (pow x 2)))) (pow x 6))>
#<alt (/ (+ 64 (* -256 (/ (pow p 2) (pow x 2)))) (pow x 6))>
#<alt (/ 64 (pow x 6))>
#<alt (/ (+ 64 (* -256 (/ (pow p 2) (pow x 2)))) (pow x 6))>
#<alt (/ (+ 64 (* -256 (/ (pow p 2) (pow x 2)))) (pow x 6))>
#<alt (/ (+ 64 (* -256 (/ (pow p 2) (pow x 2)))) (pow x 6))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>
#<alt (/ (pow p 2) (pow x 8))>

Calls

129 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(* (log (+ (* x (/ 1/2 (sqrt (+ (* x x) (* p (* p 4)))))) 1/2)) 1/2)
3.0ms	p	@	0	(* (log (+ (* x (/ 1/2 (sqrt (+ (* x x) (* p (* p 4)))))) 1/2)) 1/2)
2.0ms	x	@	inf	(* (log (+ (* x (/ 1/2 (sqrt (+ (* x x) (* p (* p 4)))))) 1/2)) 1/2)
2.0ms	p	@	0	(+ (* -256 (/ (* p p) (pow x 8))) (/ 64 (pow x 6)))
1.0ms	x	@	inf	(/ (* (+ (* x (/ x (+ (* x x) (* p (* 4 p))))) -1) 1/2) (+ (/ x (sqrt (+ (* x x) (* p (* 4 p))))) -1))

simplify385.0ms (3.2%)

Memory

40.8MiB live, 871.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 552×	`lower-fma.f64`
8 552×	`lower-fma.f32`
6 406×	`lower-+.f64`
6 406×	`lower-+.f32`
6 304×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1251	13177
1	3778	12881
0	8309	12038

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 512

Calls

Call 1

Inputs
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))
(* -1 (/ p x))
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x))
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))
(* 1/2 (log 1/2))
(+ (* 1/4 (/ x p)) (* 1/2 (log 1/2)))
(+ (* 1/2 (log 1/2)) (* x (+ (* -1/16 (/ x (pow p 2))) (* 1/4 (/ 1 p)))))
(+ (* 1/2 (log 1/2)) (* x (+ (* x (- (* -1/96 (/ x (pow p 3))) (* 1/16 (/ 1 (pow p 2))))) (* 1/4 (/ 1 p)))))
(* -1/2 (/ (pow p 2) (pow x 2)))
(/ (+ (* -1/2 (pow p 2)) (* 1/48 (/ (+ (* -12 (pow p 4)) (* -6 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2)))) (pow x 2))
(/ (+ (* -1/2 (pow p 2)) (+ (* 1/1440 (/ (+ (* -240 (pow p 6)) (+ (* -180 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -180 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))) (pow x 4))) (* 1/48 (/ (+ (* -12 (pow p 4)) (* -6 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2))))) (pow x 2))
(/ (+ (* -1/2 (pow p 2)) (+ (* 1/80640 (/ (+ (* -10080 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -10080 (* (pow p 4) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -10080 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (+ (* -10080 (pow p 8)) (* -1260 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)))))) (pow x 6))) (+ (* 1/1440 (/ (+ (* -240 (pow p 6)) (+ (* -180 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -180 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))) (pow x 4))) (* 1/48 (/ (+ (* -12 (pow p 4)) (* -6 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2)))))) (pow x 2))
(* 1/2 (+ (log (pow p 2)) (* 2 (log (/ -1 x)))))
(+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 1/2 (+ (log (pow p 2)) (* 2 (log (/ -1 x))))))
(+ (* 1/48 (/ (+ (* -3/4 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 4))) (* 6 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2)))) (pow x 4))) (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 1/2 (+ (log (pow p 2)) (* 2 (log (/ -1 x)))))))
(+ (* 1/1440 (/ (+ (* -45 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (pow p 4))) (+ (* 15/4 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 3) (pow p 6))) (* 180 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow p 2))))) (pow x 6))) (+ (* 1/48 (/ (+ (* -3/4 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 4))) (* 6 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2)))) (pow x 4))) (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 1/2 (+ (log (pow p 2)) (* 2 (log (/ -1 x))))))))
(* -1/2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (* 5/4 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* -11/3 (/ (pow p 2) (pow x 6))) (* 5/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 93/8 (/ (pow p 2) (pow x 8))) (* 11/3 (/ 1 (pow x 6))))) (* 5/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/2 (log 1/2))
(+ (* 1/4 (/ x p)) (* 1/2 (log 1/2)))
(+ (* -1/16 (/ (pow x 2) (pow p 2))) (+ (* 1/4 (/ x p)) (* 1/2 (log 1/2))))
(+ (* -1/16 (/ (pow x 2) (pow p 2))) (+ (* 1/12 (/ (+ (* -3/8 (pow x 3)) (* 1/4 (pow x 3))) (pow p 3))) (+ (* 1/4 (/ x p)) (* 1/2 (log 1/2)))))
(* 1/2 (log 1/2))
(+ (* -1/4 (/ x p)) (* 1/2 (log 1/2)))
(+ (* -1 (/ (+ (* 1/16 (/ (pow x 2) p)) (* 1/4 x)) p)) (* 1/2 (log 1/2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (+ (* -3/8 (pow x 3)) (* 1/4 (pow x 3))) p)) (* -1/16 (pow x 2))) p)) (* 1/4 x)) p)) (* 1/2 (log 1/2)))
(log 1/2)
(+ (log 1/2) (* 1/2 (/ x p)))
(+ (log 1/2) (* x (+ (* -1/8 (/ x (pow p 2))) (* 1/2 (/ 1 p)))))
(+ (log 1/2) (* x (+ (* x (- (* -1/48 (/ x (pow p 3))) (* 1/8 (/ 1 (pow p 2))))) (* 1/2 (/ 1 p)))))
(* -1 (/ (pow p 2) (pow x 2)))
(/ (+ (* -1 (pow p 2)) (* 1/24 (/ (+ (* -12 (pow p 4)) (* -6 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2)))) (pow x 2))
(/ (+ (* -1 (pow p 2)) (+ (* 1/720 (/ (+ (* -240 (pow p 6)) (+ (* -180 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -180 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))) (pow x 4))) (* 1/24 (/ (+ (* -12 (pow p 4)) (* -6 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2))))) (pow x 2))
(/ (+ (* -1 (pow p 2)) (+ (* 1/40320 (/ (+ (* -10080 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -10080 (* (pow p 4) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -10080 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (+ (* -10080 (pow p 8)) (* -1260 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)))))) (pow x 6))) (+ (* 1/720 (/ (+ (* -240 (pow p 6)) (+ (* -180 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -180 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))) (pow x 4))) (* 1/24 (/ (+ (* -12 (pow p 4)) (* -6 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2)))))) (pow x 2))
(+ (log (pow p 2)) (* 2 (log (/ -1 x))))
(+ (log (pow p 2)) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 2 (log (/ -1 x)))))
(+ (log (pow p 2)) (+ (* 1/24 (/ (+ (* -3/4 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 4))) (* 6 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2)))) (pow x 4))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 2 (log (/ -1 x))))))
(+ (log (pow p 2)) (+ (* 1/720 (/ (+ (* -45 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (pow p 4))) (+ (* 15/4 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 3) (pow p 6))) (* 180 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow p 2))))) (pow x 6))) (+ (* 1/24 (/ (+ (* -3/4 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 4))) (* 6 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2)))) (pow x 4))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 2 (log (/ -1 x)))))))
(* -1 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (* 5/2 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))
(* (pow p 2) (- (* (pow p 2) (+ (* -22/3 (/ (pow p 2) (pow x 6))) (* 5/2 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 93/4 (/ (pow p 2) (pow x 8))) (* 22/3 (/ 1 (pow x 6))))) (* 5/2 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))
(log 1/2)
(+ (log 1/2) (* 1/2 (/ x p)))
(+ (log 1/2) (+ (* -1/8 (/ (pow x 2) (pow p 2))) (* 1/2 (/ x p))))
(+ (log 1/2) (+ (* -1/8 (/ (pow x 2) (pow p 2))) (+ (* 1/6 (/ (+ (* -3/8 (pow x 3)) (* 1/4 (pow x 3))) (pow p 3))) (* 1/2 (/ x p)))))
(log 1/2)
(+ (log 1/2) (* -1/2 (/ x p)))
(+ (log 1/2) (* -1 (/ (+ (* 1/8 (/ (pow x 2) p)) (* 1/2 x)) p)))
(+ (log 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/8 (pow x 3)) (* 1/4 (pow x 3))) p)) (* -1/8 (pow x 2))) p)) (* 1/2 x)) p)))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
1
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(/ (pow p 2) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))
1
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))
1/2
(+ 1/2 (* -1/4 (/ x p)))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))
(* -1 (/ p x))
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x))
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))
(* -1 (/ p x))
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x))
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
1
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(/ (pow p 2) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))
1
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))
1/2
(+ 1/2 (* -1/4 (/ x p)))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))
(/ 1/4 p)
(+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/4096 (/ (pow x 2) (pow p 7))) (* 3/512 (/ 1 (pow p 5))))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))
(/ 1/2 x)
(/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x)
(/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x)
(/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) x)
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) x))
(/ 1/2 x)
(+ (* -1 (/ (pow p 2) (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 7))) (* 3 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))
(/ 1/4 p)
(/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p)
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) p)
(/ -1/4 p)
(* -1 (/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p))
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) p))
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(/ 1/4 p)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (+ (* 1/4 (/ (pow (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) 2) (pow (sqrt 2) 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))))))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* 1/2 (/ (* (sqrt 1/2) (- (* -128 (pow p 6)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2)))))) (pow p 2))) (+ (* 1/4 (/ (* (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (+ (* 1/2 (/ (* (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (+ (* 1/4 (/ (pow (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) 2) (pow (sqrt 2) 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))))))) (pow (sqrt 2) 2))) (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow p 2)))))))) (* (pow x 6) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (+ (* 1/4 (/ (pow (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) 2) (pow (sqrt 2) 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))))))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))
(* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -128 (pow p 8)) (+ (* -1 (* (pow p 2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -1/4 (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* 1/2 (/ (* (- (* -8 (pow p 4)) (* -2 (pow p 4))) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* (pow p 2) (pow (sqrt 2) 2))))))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/64 (pow x 3)) (* 1/16 (pow x 3)))) (pow p 3))) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (pow x 2) (sqrt 1/2))) (* 1/2 (/ (* (sqrt 1/2) (+ (* -1/64 (pow x 3)) (* 1/16 (pow x 3)))) p))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
1
(+ 1 (* 1/2 (/ (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) (pow x 2))))
(+ 1 (+ (* 1/2 (/ (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) (pow x 2))) (* 1/2 (/ (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))))) (pow x 4)))))
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(/ (pow p 2) (pow x 2))
(/ (+ (* 1/2 (/ (- (* -8 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
(/ (+ (* 1/2 (/ (- (* -8 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (pow x 4))) (pow p 2))) (pow x 2))
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1
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1/2
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1/2
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(- (+ (* -1/32 (/ (pow x 4) (pow p 4))) (+ (* 1/128 (/ (pow x 6) (pow p 6))) (* 1/8 (/ (pow x 2) (pow p 2))))) 1/2)
-1
(- (* 1/4 (/ (pow x 2) (pow p 2))) 1)
(- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow p 4))) (* 1/4 (/ 1 (pow p 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow p 6))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2))))) 1)
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(/ (- (* 16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))
(/ (- (* -64 (/ (pow p 6) (pow x 4))) (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (pow x 2))
(/ (- (* 256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))
(* -4 (/ (pow p 2) (pow x 2)))
(/ (- (* 16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))
(/ (- (* -64 (/ (pow p 6) (pow x 4))) (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (pow x 2))
(/ (- (* 256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))
(* -4 (/ (pow p 2) (pow x 2)))
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(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 256 (/ (pow p 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
-1
(- (* 1/4 (/ (pow x 2) (pow p 2))) 1)
(- (+ (* -1/16 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))) 1)
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-1
(- (* 1/4 (/ (pow x 2) (pow p 2))) 1)
(- (+ (* -1/16 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))) 1)
(- (+ (* 1/64 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))) (+ 1 (* 1/16 (/ (pow x 4) (pow p 4)))))
(sqrt 1/2)
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(* (sqrt 1/2) (sqrt 2))
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(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))
(* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -128 (pow p 8)) (+ (* -1 (* (pow p 2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -1/4 (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* 1/2 (/ (* (- (* -8 (pow p 4)) (* -2 (pow p 4))) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* (pow p 2) (pow (sqrt 2) 2))))))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/64 (pow x 3)) (* 1/16 (pow x 3)))) (pow p 3))) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (pow x 2) (sqrt 1/2))) (* 1/2 (/ (* (sqrt 1/2) (+ (* -1/64 (pow x 3)) (* 1/16 (pow x 3)))) p))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))))
(+ (sqrt 1/2) (* (pow x 2) (+ (* -1/8 (/ (sqrt 1/2) (pow p 2))) (* 3/128 (/ (* (pow x 2) (sqrt 1/2)) (pow p 4))))))
(+ (sqrt 1/2) (* (pow x 2) (+ (* -1/8 (/ (sqrt 1/2) (pow p 2))) (* (pow x 2) (+ (* -5/1024 (/ (* (pow x 2) (sqrt 1/2)) (pow p 6))) (* 3/128 (/ (sqrt 1/2) (pow p 4))))))))
(* 2 (/ (* p (sqrt 1/2)) x))
(/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (* 2 (* p (sqrt 1/2)))) x)
(/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))) (* p (pow x 4)))) (* 2 (* p (sqrt 1/2))))) x)
(/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* -256 (pow p 8)) (* -2 (* (pow p 2) (- (* 64 (pow p 6)) (* 16 (pow p 6))))))) (* p (pow x 6)))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))) (* p (pow x 4)))) (* 2 (* p (sqrt 1/2)))))) x)
(* -2 (/ (* p (sqrt 1/2)) x))
(* -1 (/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (* 2 (* p (sqrt 1/2)))) x))
(* -1 (/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))) (* p (pow x 4)))) (* 2 (* p (sqrt 1/2))))) x))
(* -1 (/ (+ (* -4 (/ (* (pow p 3) (sqrt 1/2)) (pow x 2))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* -256 (pow p 8)) (* -2 (* (pow p 2) (- (* 64 (pow p 6)) (* 16 (pow p 6))))))) (* p (pow x 6)))) (+ (* 1/4 (/ (* (sqrt 1/2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))) (* p (pow x 4)))) (* 2 (* p (sqrt 1/2)))))) x))
(* 2 (/ (* p (sqrt 1/2)) x))
(* p (+ (* -4 (/ (* (pow p 2) (sqrt 1/2)) (pow x 3))) (* 2 (/ (sqrt 1/2) x))))
(* p (+ (* 2 (/ (sqrt 1/2) x)) (* (pow p 2) (+ (* -4 (/ (sqrt 1/2) (pow x 3))) (* 12 (/ (* (pow p 2) (sqrt 1/2)) (pow x 5)))))))
(* p (+ (* 2 (/ (sqrt 1/2) x)) (* (pow p 2) (+ (* -4 (/ (sqrt 1/2) (pow x 3))) (* (pow p 2) (+ (* -40 (/ (* (pow p 2) (sqrt 1/2)) (pow x 7))) (* 12 (/ (sqrt 1/2) (pow x 5)))))))))
(sqrt 1/2)
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(+ (sqrt 1/2) (+ (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/64 (pow x 6)) (* -1/8 (* (pow x 2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))))))) (pow p 6))) (* 1/2 (/ (* (sqrt 1/2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))) (pow p 4))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))))
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1
(+ 1 (* -1/8 (/ (pow x 2) (pow p 2))))
(+ 1 (* (pow x 2) (- (* 3/128 (/ (pow x 2) (pow p 4))) (* 1/8 (/ 1 (pow p 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -5/1024 (/ (pow x 2) (pow p 6))) (* 3/128 (/ 1 (pow p 4))))) (* 1/8 (/ 1 (pow p 2))))))
(* 2 (/ p x))
(/ (+ (* -4 (/ (pow p 3) (pow x 2))) (* 2 p)) x)
(/ (+ (* -4 (/ (pow p 3) (pow x 2))) (+ (* 1/4 (/ (- (* 64 (pow p 6)) (* 16 (pow p 6))) (* p (pow x 4)))) (* 2 p))) x)
(/ (+ (* -4 (/ (pow p 3) (pow x 2))) (+ (* 1/4 (/ (- (* -256 (pow p 8)) (* -2 (* (pow p 2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))))) (* p (pow x 6)))) (+ (* 1/4 (/ (- (* 64 (pow p 6)) (* 16 (pow p 6))) (* p (pow x 4)))) (* 2 p)))) x)
(* -2 (/ p x))
(* -1 (/ (+ (* -4 (/ (pow p 3) (pow x 2))) (* 2 p)) x))
(* -1 (/ (+ (* -4 (/ (pow p 3) (pow x 2))) (+ (* 1/4 (/ (- (* 64 (pow p 6)) (* 16 (pow p 6))) (* p (pow x 4)))) (* 2 p))) x))
(* -1 (/ (+ (* -4 (/ (pow p 3) (pow x 2))) (+ (* 1/4 (/ (- (* -256 (pow p 8)) (* -2 (* (pow p 2) (- (* 64 (pow p 6)) (* 16 (pow p 6)))))) (* p (pow x 6)))) (+ (* 1/4 (/ (- (* 64 (pow p 6)) (* 16 (pow p 6))) (* p (pow x 4)))) (* 2 p)))) x))
(* 2 (/ p x))
(* p (+ (* -4 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x))))
(* p (+ (* (pow p 2) (- (* 12 (/ (pow p 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))
(* p (+ (* (pow p 2) (- (* (pow p 2) (+ (* -40 (/ (pow p 2) (pow x 7))) (* 12 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow p 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (* 1/2 (/ (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))) (pow p 4)))))
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1
(+ 1 (* -1/8 (/ (pow x 2) (pow p 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (* 1/2 (/ (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))) (pow p 4)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (+ (* 1/2 (/ (- (* -1/64 (pow x 6)) (* -1/8 (* (pow x 2) (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4)))))) (pow p 6))) (* 1/2 (/ (- (* 1/16 (pow x 4)) (* 1/64 (pow x 4))) (pow p 4))))))
1
(+ 1 (* -1/4 (/ (pow x 2) (pow p 2))))
(+ 1 (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow p 4))) (* 1/4 (/ 1 (pow p 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 6))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2))))))
(* 4 (/ (pow p 2) (pow x 2)))
(/ (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))
(/ (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4))))) (pow x 2))
(/ (+ (* -256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))
(* 4 (/ (pow p 2) (pow x 2)))
(/ (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))
(/ (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4))))) (pow x 2))
(/ (+ (* -256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))
(* 4 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (+ (* -16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(* (pow p 2) (+ (* (pow p 2) (- (* 64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
(* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -256 (/ (pow p 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/4 (/ (pow x 2) (pow p 2))))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (* 1/16 (/ (pow x 4) (pow p 4)))))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (+ (* -1/64 (/ (pow x 6) (pow p 6))) (* 1/16 (/ (pow x 4) (pow p 4))))))
1
(+ 1 (* -1/4 (/ (pow x 2) (pow p 2))))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (* 1/16 (/ (pow x 4) (pow p 4)))))
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (+ (* -1/64 (/ (pow x 6) (pow p 6))) (* 1/16 (/ (pow x 4) (pow p 4))))))
(* 2 p)
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
x
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))
x
(+ x (* 2 (/ (pow p 2) x)))
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(* 2 p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -2 p)
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
(* 2 p)
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
x
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))
x
(+ x (* 2 (/ (pow p 2) x)))
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(* 2 p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -2 p)
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
-1
(- (* 1/2 (/ x p)) 1)
(- (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))) 1)
(- (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))) 1)
(* -2 (/ (pow p 2) (pow x 2)))
(/ (+ (* -2 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2)))) (pow x 2))
(/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))))) (pow x 2))
(/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4)))))) (pow x 2))
-2
(- (* 2 (/ (pow p 2) (pow x 2))) 2)
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 2)
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 2)
(* -2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 70 (/ (pow p 2) (pow x 8))) (* 20 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
-1
(- (* 1/2 (/ x p)) 1)
(- (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))) 1)
(- (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))) 1)
-1
(- (* -1/2 (/ x p)) 1)
(- (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)) 1)
(- (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)) 1)
(/ 64 (pow x 6))
(+ (* -256 (/ (pow p 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))
(+ (* -256 (/ (pow p 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))
(+ (* -256 (/ (pow p 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))
(* -256 (/ (pow p 2) (pow x 8)))
(* (pow p 2) (- (* 64 (/ 1 (* (pow p 2) (pow x 6)))) (* 256 (/ 1 (pow x 8)))))
(* (pow p 2) (- (* 64 (/ 1 (* (pow p 2) (pow x 6)))) (* 256 (/ 1 (pow x 8)))))
(* (pow p 2) (- (* 64 (/ 1 (* (pow p 2) (pow x 6)))) (* 256 (/ 1 (pow x 8)))))
(* -256 (/ (pow p 2) (pow x 8)))
(* (pow p 2) (- (* 64 (/ 1 (* (pow p 2) (pow x 6)))) (* 256 (/ 1 (pow x 8)))))
(* (pow p 2) (- (* 64 (/ 1 (* (pow p 2) (pow x 6)))) (* 256 (/ 1 (pow x 8)))))
(* (pow p 2) (- (* 64 (/ 1 (* (pow p 2) (pow x 6)))) (* 256 (/ 1 (pow x 8)))))
(* -256 (/ (pow p 2) (pow x 8)))
(/ (+ (* -256 (pow p 2)) (* 64 (pow x 2))) (pow x 8))
(/ (+ (* -256 (pow p 2)) (* 64 (pow x 2))) (pow x 8))
(/ (+ (* -256 (pow p 2)) (* 64 (pow x 2))) (pow x 8))
(/ 64 (pow x 6))
(/ (+ 64 (* -256 (/ (pow p 2) (pow x 2)))) (pow x 6))
(/ (+ 64 (* -256 (/ (pow p 2) (pow x 2)))) (pow x 6))
(/ (+ 64 (* -256 (/ (pow p 2) (pow x 2)))) (pow x 6))
(/ 64 (pow x 6))
(/ (+ 64 (* -256 (/ (pow p 2) (pow x 2)))) (pow x 6))
(/ (+ 64 (* -256 (/ (pow p 2) (pow x 2)))) (pow x 6))
(/ (+ 64 (* -256 (/ (pow p 2) (pow x 2)))) (pow x 6))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))
(/ (pow p 2) (pow x 8))

Outputs
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(fma.f64 x (fma.f64 #s(literal -1/128 binary64) (/.f64 x (.f64 (.f64 p p) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 p (.f64 p p)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal -1/32 binary64) (.f64 p (.f64 p p)))) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/128 binary64) (.f64 (.f64 p p) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) (sqrt.f64 #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 p p) (.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))))))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 1 binary64)))
(* -1 (/ p x))
(/.f64 p (neg.f64 x))
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p (*.f64 x x))) p) (neg.f64 x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))) (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 p p)) #s(literal -1/64 binary64))) (.f64 p (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p (*.f64 x x))) p)) (neg.f64 x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))))) (.f64 (/.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (fma.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))) (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 p p)) #s(literal -1/64 binary64)))) (.f64 p p)) #s(literal -1/8 binary64))) (.f64 p (pow.f64 x #s(literal 6 binary64)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))) (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 p p)) #s(literal -1/64 binary64))) (.f64 p (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p (*.f64 x x))) p)) (neg.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 (.f64 p p) (fma.f64 #s(literal 11/8 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -69/16 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 11/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) #s(literal 1 binary64))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 x x) (.f64 (.f64 p p) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))
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(sqrt 1/2)
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(/.f64 (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -256 binary64) #s(literal 64 binary64)) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 64 (* -256 (/ (pow p 2) (pow x 2)))) (pow x 6))
(/.f64 (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -256 binary64) #s(literal 64 binary64)) (pow.f64 x #s(literal 6 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))
(/ (pow p 2) (pow x 8))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))

rewrite340.0ms (2.8%)

Memory

-22.9MiB live, 653.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 146×	`lower-/.f32`
4 126×	`lower-/.f64`
3 470×	`lower-*.f32`
3 452×	`lower-*.f64`
3 256×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	508
0	120	472
1	449	467
2	3037	467
0	8623	467

Stop Event

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

Counts

22 → 617

Calls

Call 1

Inputs
(exp.f64 (.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64))
#s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p))
(/.f64 #s(literal 1/4 binary64) p)
(sqrt.f64 (/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64)))
(.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64))
(/.f64 (.f64 (sqrt.f64 #s(approx (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))))
(.f64 (sqrt.f64 #s(approx (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (+ (* (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
#s(approx (+ (* (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))
(sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64))
(fma.f64 #s(literal -256 binary64) (/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 p p) (pow.f64 x #s(literal 8 binary64)))

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/4 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1/2 binary64))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))) #s(literal 1/8 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal 1/4 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))) #s(literal 1/8 binary64))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/4 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1/4 binary64))) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1/2 binary64)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))) #s(literal 1/8 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal 1/4 binary64)))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1/4 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal -1/2 binary64)))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))))))
(/.f64 (sqrt.f64 (neg.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))))) (sqrt.f64 (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))))) (sqrt.f64 (fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))) #s(literal 1/8 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal 1/4 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1/4 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal -1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))) #s(literal 1/8 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1/4 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))))))
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eval183.0ms (1.5%)

Memory: 16.3MiB live, 322.9MiB allocated
Compiler: Compiled 53 906 to 4 091 computations (92.4% saved)

prune141.0ms (1.2%)

Memory

9.6MiB live, 284.9MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	1 166	6	1 172
Fresh	5	4	9
Picked	3	2	5
Done	0	4	4
Total	1 174	16	1 190

Accuracy

99.9%

Counts

1 190 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.3%	(/.f64 (.f64 (pow.f64 (pow.f64 #s(approx (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 p (.f64 p (fma.f64 (.f64 p p) (fma.f64 p (.f64 (/.f64 p (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -256 binary64)) (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)))) (/.f64 #s(literal -16 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))))))
✓	80.6%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	77.7%	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) x #s(literal 1/2 binary64)))
▶	7.3%	(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* p (* 4 p))))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	50.3%	(sqrt.f64 (fma.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))
	53.8%	(sqrt.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64))))
▶	80.6%	(sqrt.f64 (/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))))))
▶	3.9%	(sqrt.f64 (/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(approx (+ (/ x (sqrt (+ ( x x) (* p (* 4 p))))) -1) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64)))))
	12.8%	(sqrt.f64 (/.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 p (.f64 p (fma.f64 (.f64 p p) (fma.f64 p (.f64 (/.f64 p (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -256 binary64)) (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)))) (/.f64 #s(literal -16 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))))
▶	53.8%	(sqrt.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))))))
	15.8%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x))) (.f64 p p)) (*.f64 x x))))
✓	18.0%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
✓	55.1%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
	29.1%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))
▶	25.5%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x)))
✓	38.3%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) #s(literal 1 binary64))

Compiler

Compiled 804 to 408 computations (49.3% saved)

simplify426.0ms (3.6%)

Memory

31.1MiB live, 543.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal -1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))))))
✓	cost-diff	320	(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))))
✓	cost-diff	0	(fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(approx (+ (/ x (sqrt (+ ( x x) (* p (* 4 p))))) -1) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64))))
✓	cost-diff	0	(sqrt.f64 (/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(approx (+ (/ x (sqrt (+ ( x x) (* p (* 4 p))))) -1) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64)))))
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))
✓	cost-diff	0	#s(approx (/ x (sqrt (+ (* x x) (* p (* 4 p))))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64)))
✓	cost-diff	0	(fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* p (* 4 p))))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* p (* 4 p))))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(/.f64 p (neg.f64 x))
✓	cost-diff	0	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x)))
✓	cost-diff	0	(fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))))))
✓	cost-diff	5760	(/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))))

Rules

19 312×	`lower-fma.f32`
19 298×	`lower-fma.f64`
4 598×	`lower-*.f32`
4 586×	`lower-*.f64`
2 718×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	722
0	91	722
1	155	718
2	245	662
3	437	662
4	933	662
5	2880	662
6	4761	662
0	8143	659

Stop Event

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

Calls

Call 1

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

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

localize357.0ms (3%)

Memory

-28.5MiB live, 501.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	87.4%	(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))))
✓	accuracy	86.6%	(+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
✓	accuracy	76.0%	(sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))
✓	accuracy	73.7%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal -1/2 binary64))
✓	accuracy	87.9%	(/.f64 (.f64 p p) (.f64 x x))
✓	accuracy	87.9%	(/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(approx (+ (/ x (sqrt (+ ( x x) (* p (* 4 p))))) -1) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64))))
✓	accuracy	51.8%	(fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64))
✓	accuracy	25.2%	#s(approx (+ (/ x (sqrt (+ (* x x) (* p (* 4 p))))) -1) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64)))
✓	accuracy	93.9%	(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* p (* 4 p))))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	accuracy	87.9%	(/.f64 (.f64 p p) (.f64 x x))
✓	accuracy	87.1%	(fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* p (* 4 p))))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	accuracy	25.1%	#s(approx (/ x (sqrt (+ (* x x) (* p (* 4 p))))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 p (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	25.5%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x)))
✓	accuracy	87.1%	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))
✓	accuracy	76.0%	(sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))
✓	accuracy	51.8%	(fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64))
✓	accuracy	51.8%	(fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1 binary64))

Samples

63.0ms	65×	2	valid
52.0ms	129×	0	valid
38.0ms	25×	3	valid
33.0ms	37×	1	valid

Compiler

Compiled 714 to 52 computations (92.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-div: 46.0ms (32.9% of total)

ival-mult: 33.0ms (23.6% of total)

ival-add: 23.0ms (16.5% of total)

adjust: 18.0ms (12.9% of total)

ival-sqrt: 18.0ms (12.9% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series32.0ms (0.3%)

Memory

7.9MiB live, 50.3MiB allocated

Counts

23 → 540

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))))>
#<alt (sqrt.f64 (/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))))))>
#<alt (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))>
#<alt (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64))>
#<alt #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x)))>
#<alt (/.f64 p (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* p (* 4 p))))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))>
#<alt (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* p (* 4 p))))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))>
#<alt #s(approx (/ x (sqrt (+ (* x x) (* p (* 4 p))))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64)))>
#<alt (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))>
#<alt (sqrt.f64 (/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(approx (+ (/ x (sqrt (+ ( x x) (* p (* 4 p))))) -1) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64)))))>
#<alt (/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(approx (+ (/ x (sqrt (+ ( x x) (* p (* 4 p))))) -1) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64))))>
#<alt (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))))>
#<alt (sqrt.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))))))>
#<alt (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))) #s(literal -1/2 binary64))>
#<alt (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))>
#<alt (fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1 binary64))>
#<alt (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))>
#<alt (/.f64 (.f64 p p) (.f64 x x))>
#<alt #s(approx (+ (/ x (sqrt (+ (* x x) (* p (* 4 p))))) -1) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64)))>
#<alt (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))))>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))>
#<alt (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))>
#<alt (/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))>
#<alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x p)))>
#<alt (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))>
#<alt (+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (/ x p)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))>
#<alt (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))>
#<alt (+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))>
#<alt (* (sqrt 1/2) (sqrt 2))>
#<alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))>
#<alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))>
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#<alt (* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 128 (/ (pow p 2) (pow x 8))) (* 32 (/ 1 (pow x 6))))) (* 8 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))>
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#<alt (* -4 (/ (pow p 2) (pow x 2)))>
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#<alt (sqrt 1/2)>
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#<alt 1>
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#<alt (* -1 (/ p x))>
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#<alt (* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x))>
#<alt 1>
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#<alt (sqrt 1/2)>
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#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))>
#<alt (sqrt 1/2)>
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#<alt (* -1 (/ p x))>
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#<alt (sqrt 1/2)>
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#<alt 1>
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#<alt (* -1 (/ p x))>
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#<alt (* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x))>
#<alt (* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x))>
#<alt 1>
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#<alt (sqrt 1/2)>
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#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))>
#<alt (sqrt 1/2)>
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#<alt 1/2>
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#<alt 1>
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#<alt (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))>
#<alt (/ (pow p 2) (pow x 2))>
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#<alt (/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))>
#<alt 1>
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#<alt 1/2>
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#<alt 1/2>
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#<alt (* 1/2 (/ x p))>
#<alt (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))>
#<alt (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/2048 (/ (pow x 2) (pow p 7))) (* 3/256 (/ 1 (pow p 5))))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))>
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#<alt 1>
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#<alt (+ 1 (+ (* 1/2 (/ (- (* -4 (pow p 2)) (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) (pow x 2))) (* 1/2 (/ (- (* 16 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -4 (pow p 2)) (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))) (* 1/4 (pow (- (* -4 (pow p 2)) (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) 2))))) (pow x 4)))))>
#<alt (+ 1 (+ (* 1/2 (/ (- (* -64 (pow p 6)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 16 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -4 (pow p 2)) (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2)))))) (pow p 2))) (+ (* 1/4 (/ (* (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (- (* -4 (pow p 2)) (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow p 2))) (* 1/2 (* (- (* -4 (pow p 2)) (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) (- (* 16 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -4 (pow p 2)) (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))) (* 1/4 (pow (- (* -4 (pow p 2)) (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) 2))))))))))) (pow x 6))) (+ (* 1/2 (/ (- (* -4 (pow p 2)) (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) (pow x 2))) (* 1/2 (/ (- (* 16 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -4 (pow p 2)) (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))) (* 1/4 (pow (- (* -4 (pow p 2)) (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) 2))))) (pow x 4))))))>
#<alt (* -1 (/ p x))>
#<alt (* -1 (/ (+ p (* 1/2 (/ (- (* -4 (pow p 4)) (* -1 (pow p 4))) (* p (pow x 2))))) x))>
#<alt (* -1 (/ (+ p (+ (* 1/2 (/ (- (* -4 (pow p 4)) (* -1 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 16 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -4 (pow p 4)) (* -1 (pow p 4))))) (+ (* -1/4 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -4 (pow p 4)) (* -1 (pow p 4))) 2) (pow p 2)))))) (* p (pow x 4)))))) x))>
#<alt (* -1 (/ (+ p (+ (* 1/2 (/ (- (* -64 (pow p 8)) (+ (* -1 (* (pow p 2) (- (* 16 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -4 (pow p 4)) (* -1 (pow p 4))))) (* -1/4 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/4 (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -4 (pow p 4)) (* -1 (pow p 4))))) (+ (* -1/4 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (* 1/2 (/ (* (- (* -4 (pow p 4)) (* -1 (pow p 4))) (- (* 16 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -4 (pow p 4)) (* -1 (pow p 4))))) (+ (* -1/4 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -4 (pow p 4)) (* -1 (pow p 4))) 2) (pow p 2))))))) (pow p 2))))))) (* p (pow x 6)))) (+ (* 1/2 (/ (- (* -4 (pow p 4)) (* -1 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 16 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -4 (pow p 4)) (* -1 (pow p 4))))) (+ (* -1/4 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -4 (pow p 4)) (* -1 (pow p 4))) 2) (pow p 2)))))) (* p (pow x 4))))))) x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4))) (* 1/32 (pow x 3))) (* (pow p 3) (sqrt 1/2)))) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3))) (* 1/2 (/ (+ (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4))) (* 1/32 (pow x 3))) (* p (sqrt 1/2))))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))>
#<alt -1/2>
#<alt (- (* 1/8 (/ (pow x 2) (pow p 2))) 1/2)>
#<alt (- (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow p 4))) (* 1/8 (/ 1 (pow p 2))))) 1/2)>
#<alt (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/128 (/ (pow x 2) (pow p 6))) (* 1/32 (/ 1 (pow p 4))))) (* 1/8 (/ 1 (pow p 2))))) 1/2)>
#<alt (* -2 (/ (pow p 2) (pow x 2)))>
#<alt (/ (+ (* -2 (pow p 2)) (* 8 (/ (pow p 4) (pow x 2)))) (pow x 2))>
#<alt (/ (+ (* -32 (/ (pow p 6) (pow x 4))) (+ (* -2 (pow p 2)) (* 8 (/ (pow p 4) (pow x 2))))) (pow x 2))>
#<alt (/ (+ (* -32 (/ (pow p 6) (pow x 4))) (+ (* -2 (pow p 2)) (+ (* 8 (/ (pow p 4) (pow x 2))) (* 128 (/ (pow p 8) (pow x 6)))))) (pow x 2))>
#<alt (* -2 (/ (pow p 2) (pow x 2)))>
#<alt (/ (+ (* -2 (pow p 2)) (* 8 (/ (pow p 4) (pow x 2)))) (pow x 2))>
#<alt (/ (+ (* -32 (/ (pow p 6) (pow x 4))) (+ (* -2 (pow p 2)) (* 8 (/ (pow p 4) (pow x 2))))) (pow x 2))>
#<alt (/ (+ (* -32 (/ (pow p 6) (pow x 4))) (+ (* -2 (pow p 2)) (+ (* 8 (/ (pow p 4) (pow x 2))) (* 128 (/ (pow p 8) (pow x 6)))))) (pow x 2))>
#<alt (* -2 (/ (pow p 2) (pow x 2)))>
#<alt (* (pow p 2) (- (* 8 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (- (* (pow p 2) (+ (* -32 (/ (pow p 2) (pow x 6))) (* 8 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 128 (/ (pow p 2) (pow x 8))) (* 32 (/ 1 (pow x 6))))) (* 8 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))>
#<alt -1/2>
#<alt (- (* 1/8 (/ (pow x 2) (pow p 2))) 1/2)>
#<alt (- (+ (* -1/32 (/ (pow x 4) (pow p 4))) (* 1/8 (/ (pow x 2) (pow p 2)))) 1/2)>
#<alt (- (+ (* -1/32 (/ (pow x 4) (pow p 4))) (+ (* 1/128 (/ (pow x 6) (pow p 6))) (* 1/8 (/ (pow x 2) (pow p 2))))) 1/2)>
#<alt -1/2>
#<alt (- (* 1/8 (/ (pow x 2) (pow p 2))) 1/2)>
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#<alt (* 1/4 (/ (pow x 2) (pow p 2)))>
#<alt (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow p 4))) (* 1/4 (/ 1 (pow p 2)))))>
#<alt (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow p 6))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2)))))>
#<alt (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow p 8))) (* 1/64 (/ 1 (pow p 6))))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2)))))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (pow p 2) (pow x 2))))>
#<alt (- (+ 1 (* 16 (/ (pow p 4) (pow x 4)))) (* 4 (/ (pow p 2) (pow x 2))))>
#<alt (- (+ 1 (* -64 (/ (pow p 6) (pow x 6)))) (+ (* -16 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 2) (pow x 2)))))>
#<alt 1>
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#<alt 1>
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#<alt (+ 1 (* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))>
#<alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))>
#<alt (* 1/4 (/ (pow x 2) (pow p 2)))>
#<alt (/ (+ (* -1/16 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) (pow p 2))>
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#<alt (/ (- (+ (* -1/256 (/ (pow x 8) (pow p 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow p 4))) (* 1/16 (/ (pow x 4) (pow p 2))))) (pow p 2))>
#<alt (* 1/4 (/ (pow x 2) (pow p 2)))>
#<alt (/ (+ (* -1/16 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) (pow p 2))>
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#<alt (/ (- (+ (* -1/256 (/ (pow x 8) (pow p 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow p 4))) (* 1/16 (/ (pow x 4) (pow p 2))))) (pow p 2))>
#<alt -1>
#<alt (- (* 1/4 (/ (pow x 2) (pow p 2))) 1)>
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#<alt (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow p 6))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2))))) 1)>
#<alt (* -4 (/ (pow p 2) (pow x 2)))>
#<alt (/ (- (* 16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))>
#<alt (/ (- (* -64 (/ (pow p 6) (pow x 4))) (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (pow x 2))>
#<alt (/ (- (* 256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))>
#<alt (* -4 (/ (pow p 2) (pow x 2)))>
#<alt (/ (- (* 16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))>
#<alt (/ (- (* -64 (/ (pow p 6) (pow x 4))) (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (pow x 2))>
#<alt (/ (- (* 256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))>
#<alt (* -4 (/ (pow p 2) (pow x 2)))>
#<alt (* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (- (* (pow p 2) (+ (* -64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 256 (/ (pow p 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))>
#<alt -1>
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#<alt -1>
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#<alt x>
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#<alt (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))>
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#<alt (* 2 p)>
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#<alt (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))>
#<alt (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))>
#<alt (* -2 p)>
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#<alt (* 2 p)>
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#<alt (+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))>
#<alt x>
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#<alt (* -1 x)>
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#<alt (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))>
#<alt (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))>
#<alt 1>
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#<alt (+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))>
#<alt (+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))>
#<alt 2>
#<alt (+ 2 (* -2 (/ (pow p 2) (pow x 2))))>
#<alt (+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))>
#<alt (+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))>
#<alt (* 2 (/ (pow p 2) (pow x 2)))>
#<alt (/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))>
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#<alt (/ (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* -2 (/ (pow p 2) (pow x 2))))>
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#<alt 1>
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#<alt (+ 1 (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))))>
#<alt 1>
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#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt (/ (pow p 2) (pow x 2))>
#<alt -1>
#<alt (- (* 1/2 (/ x p)) 1)>
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#<alt (- (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))) 1)>
#<alt (* -2 (/ (pow p 2) (pow x 2)))>
#<alt (/ (+ (* -2 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2)))) (pow x 2))>
#<alt (/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4)))))) (pow x 2))>
#<alt -2>
#<alt (- (* 2 (/ (pow p 2) (pow x 2))) 2)>
#<alt (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 2)>
#<alt (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 2)>
#<alt (* -2 (/ (pow p 2) (pow x 2)))>
#<alt (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 70 (/ (pow p 2) (pow x 8))) (* 20 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))>
#<alt -1>
#<alt (- (* 1/2 (/ x p)) 1)>
#<alt (- (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))) 1)>
#<alt (- (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))) 1)>
#<alt -1>
#<alt (- (* -1/2 (/ x p)) 1)>
#<alt (- (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)) 1)>
#<alt -1>
#<alt (- (* 1/2 (/ x p)) 1)>
#<alt (- (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))) 1)>
#<alt (- (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))) 1)>
#<alt (* -2 (/ (pow p 2) (pow x 2)))>
#<alt (/ (+ (* -2 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2)))) (pow x 2))>
#<alt (/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4)))))) (pow x 2))>
#<alt -2>
#<alt (- (* 2 (/ (pow p 2) (pow x 2))) 2)>
#<alt (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 2)>
#<alt (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 2)>
#<alt (* -2 (/ (pow p 2) (pow x 2)))>
#<alt (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 70 (/ (pow p 2) (pow x 8))) (* 20 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))>
#<alt -1>
#<alt (- (* 1/2 (/ x p)) 1)>
#<alt (- (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))) 1)>
#<alt (- (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))) 1)>
#<alt -1>
#<alt (- (* -1/2 (/ x p)) 1)>
#<alt (- (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)) 1)>

Calls

135 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(sqrt (* (+ (* 1/2 (/ (* x x) (+ (* 4 (* p p)) (* x x)))) -1/2) (/ 1 (+ -1 (/ x (sqrt (+ (* 4 (* p p)) (* x x))))))))
2.0ms	x	@	inf	(* (+ (* 1/2 (/ (* x x) (+ (* 4 (* p p)) (* x x)))) -1/2) (/ 1 (+ -1 (/ x (sqrt (+ (* 4 (* p p)) (* x x)))))))
1.0ms	x	@	-inf	(sqrt (* (+ (* 1/2 (/ (* x x) (+ (* 4 (* p p)) (* x x)))) -1/2) (/ 1 (+ -1 (/ x (sqrt (+ (* 4 (* p p)) (* x x))))))))
1.0ms	x	@	-inf	(* (+ (* 1/2 (/ (* x x) (+ (* 4 (* p p)) (* x x)))) -1/2) (/ 1 (+ -1 (/ x (sqrt (+ (* 4 (* p p)) (* x x)))))))
1.0ms	p	@	inf	(/ p (neg x))

simplify492.0ms (4.1%)

Memory

-32.0MiB live, 537.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 878×	`lower-fma.f64`
8 878×	`lower-fma.f32`
6 020×	`lower-+.f64`
6 020×	`lower-+.f32`
5 768×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1112	12748
1	3484	12483
0	8168	11696

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 538

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
1
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(/ (pow p 2) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))
1
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/4 (/ x p)))
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))
1/2
(+ 1/2 (* -1/4 (/ x p)))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
-1/2
(- (* 1/8 (/ (pow x 2) (pow p 2))) 1/2)
(- (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow p 4))) (* 1/8 (/ 1 (pow p 2))))) 1/2)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/128 (/ (pow x 2) (pow p 6))) (* 1/32 (/ 1 (pow p 4))))) (* 1/8 (/ 1 (pow p 2))))) 1/2)
(* -2 (/ (pow p 2) (pow x 2)))
(/ (+ (* -2 (pow p 2)) (* 8 (/ (pow p 4) (pow x 2)))) (pow x 2))
(/ (+ (* -32 (/ (pow p 6) (pow x 4))) (+ (* -2 (pow p 2)) (* 8 (/ (pow p 4) (pow x 2))))) (pow x 2))
(/ (+ (* -32 (/ (pow p 6) (pow x 4))) (+ (* -2 (pow p 2)) (+ (* 8 (/ (pow p 4) (pow x 2))) (* 128 (/ (pow p 8) (pow x 6)))))) (pow x 2))
(* -2 (/ (pow p 2) (pow x 2)))
(/ (+ (* -2 (pow p 2)) (* 8 (/ (pow p 4) (pow x 2)))) (pow x 2))
(/ (+ (* -32 (/ (pow p 6) (pow x 4))) (+ (* -2 (pow p 2)) (* 8 (/ (pow p 4) (pow x 2))))) (pow x 2))
(/ (+ (* -32 (/ (pow p 6) (pow x 4))) (+ (* -2 (pow p 2)) (+ (* 8 (/ (pow p 4) (pow x 2))) (* 128 (/ (pow p 8) (pow x 6)))))) (pow x 2))
(* -2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (* 8 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* -32 (/ (pow p 2) (pow x 6))) (* 8 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 128 (/ (pow p 2) (pow x 8))) (* 32 (/ 1 (pow x 6))))) (* 8 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
-1/2
(- (* 1/8 (/ (pow x 2) (pow p 2))) 1/2)
(- (+ (* -1/32 (/ (pow x 4) (pow p 4))) (* 1/8 (/ (pow x 2) (pow p 2)))) 1/2)
(- (+ (* -1/32 (/ (pow x 4) (pow p 4))) (+ (* 1/128 (/ (pow x 6) (pow p 6))) (* 1/8 (/ (pow x 2) (pow p 2))))) 1/2)
-1/2
(- (* 1/8 (/ (pow x 2) (pow p 2))) 1/2)
(- (+ (* -1/32 (/ (pow x 4) (pow p 4))) (* 1/8 (/ (pow x 2) (pow p 2)))) 1/2)
(- (+ (* -1/32 (/ (pow x 4) (pow p 4))) (+ (* 1/128 (/ (pow x 6) (pow p 6))) (* 1/8 (/ (pow x 2) (pow p 2))))) 1/2)
-1
(- (* 1/4 (/ (pow x 2) (pow p 2))) 1)
(- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow p 4))) (* 1/4 (/ 1 (pow p 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow p 6))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2))))) 1)
(* -4 (/ (pow p 2) (pow x 2)))
(/ (- (* 16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))
(/ (- (* -64 (/ (pow p 6) (pow x 4))) (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (pow x 2))
(/ (- (* 256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))
(* -4 (/ (pow p 2) (pow x 2)))
(/ (- (* 16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))
(/ (- (* -64 (/ (pow p 6) (pow x 4))) (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (pow x 2))
(/ (- (* 256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))
(* -4 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* -64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 256 (/ (pow p 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
-1
(- (* 1/4 (/ (pow x 2) (pow p 2))) 1)
(- (+ (* -1/16 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))) 1)
(- (+ (* 1/64 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))) (+ 1 (* 1/16 (/ (pow x 4) (pow p 4)))))
-1
(- (* 1/4 (/ (pow x 2) (pow p 2))) 1)
(- (+ (* -1/16 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))) 1)
(- (+ (* 1/64 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))) (+ 1 (* 1/16 (/ (pow x 4) (pow p 4)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))
(* -1 (/ p x))
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x))
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x))
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 (/ p x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))
(* -1 (/ p x))
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1
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(sqrt 1/2)
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(sqrt 1/2)
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1/2
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1
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1
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1/2
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1
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1
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-1
(- (* 2 (/ (pow p 2) (pow x 2))) 1)
(- (* 2 (/ (pow p 2) (pow x 2))) 1)
(- (* 2 (/ (pow p 2) (pow x 2))) 1)
-1
(- (* 2 (/ (pow p 2) (pow x 2))) 1)
(- (* 2 (/ (pow p 2) (pow x 2))) 1)
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(sqrt 1/2)
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(* (sqrt 1/2) (sqrt 2))
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(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))
(* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -128 (pow p 8)) (+ (* -1 (* (pow p 2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -1/4 (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* 1/2 (/ (* (- (* -8 (pow p 4)) (* -2 (pow p 4))) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* (pow p 2) (pow (sqrt 2) 2))))))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))
(* (sqrt 1/2) (sqrt 2))
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(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))
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(sqrt 1/2)
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(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/64 (pow x 3)) (* 1/16 (pow x 3)))) (pow p 3))) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (pow x 2) (sqrt 1/2))) (* 1/2 (/ (* (sqrt 1/2) (+ (* -1/64 (pow x 3)) (* 1/16 (pow x 3)))) p))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))
1/2
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(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
1
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(/ (pow p 2) (pow x 2))
(/ (+ (* 1/2 (/ (- (* -8 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
(/ (+ (* 1/2 (/ (- (* -8 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (pow x 4))) (pow p 2))) (pow x 2))
(/ (+ (* 1/2 (/ (- (* -128 (pow p 8)) (+ (* -1 (* (pow p 2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (* -1/4 (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 4)) (* -2 (pow p 4)))))))) (pow x 6))) (+ (* 1/2 (/ (- (* -8 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (pow x 4))) (pow p 2)))) (pow x 2))
1
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1/2
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1/2
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(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))
1/2
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(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
1
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(- (+ 1 (+ (* -4 (/ (pow p 2) (pow x 2))) (* 16 (/ (pow p 4) (pow x 4))))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -4 (pow p 2)) (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow p 2) (pow x 4)))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (* (pow p 2) (pow x 4)))))))
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(/ (pow p 2) (pow x 2))
(/ (- (+ (* -4 (/ (pow p 4) (pow x 2))) (pow p 2)) (* -1 (/ (pow p 4) (pow x 2)))) (pow x 2))
(/ (- (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* 16 (/ (pow p 6) (pow x 4))) (pow p 2))) (+ (* -1 (/ (* (pow p 2) (- (* -4 (pow p 4)) (* -1 (pow p 4)))) (pow x 4))) (+ (* -1 (/ (pow p 4) (pow x 2))) (* -1/4 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4)))))) (pow x 2))
(/ (- (+ (* -64 (/ (pow p 8) (pow x 6))) (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* 16 (/ (pow p 6) (pow x 4))) (pow p 2)))) (+ (* -1 (/ (* (pow p 2) (- (* -4 (pow p 4)) (* -1 (pow p 4)))) (pow x 4))) (+ (* -1 (/ (* (pow p 2) (- (* 16 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -4 (pow p 4)) (* -1 (pow p 4))))) (* -1/4 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 6))) (+ (* -1 (/ (pow p 4) (pow x 2))) (+ (* -1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -4 (pow p 4)) (* -1 (pow p 4)))) (pow x 6))) (+ (* -1/4 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4))) (* -1/4 (/ (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (pow x 6))))))))) (pow x 2))
1
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1/2
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(- (+ 1/2 (* -1/32 (/ (pow x 3) (pow p 3)))) (* -1/4 (/ x p)))
(- (+ 1/2 (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5)))) (+ (* -1/4 (/ x p)) (* 1/32 (/ (pow x 3) (pow p 3)))))
1/2
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(sqrt 1/2)
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(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))
1
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(* -1 (/ p x))
(* -1 (/ (+ p (* 1/2 (/ (- (* -4 (pow p 4)) (* -1 (pow p 4))) (* p (pow x 2))))) x))
(* -1 (/ (+ p (+ (* 1/2 (/ (- (* -4 (pow p 4)) (* -1 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 16 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -4 (pow p 4)) (* -1 (pow p 4))))) (+ (* -1/4 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -4 (pow p 4)) (* -1 (pow p 4))) 2) (pow p 2)))))) (* p (pow x 4)))))) x))
(* -1 (/ (+ p (+ (* 1/2 (/ (- (* -64 (pow p 8)) (+ (* -1 (* (pow p 2) (- (* 16 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -4 (pow p 4)) (* -1 (pow p 4))))) (* -1/4 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/4 (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -4 (pow p 4)) (* -1 (pow p 4))))) (+ (* -1/4 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (* 1/2 (/ (* (- (* -4 (pow p 4)) (* -1 (pow p 4))) (- (* 16 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -4 (pow p 4)) (* -1 (pow p 4))))) (+ (* -1/4 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -4 (pow p 4)) (* -1 (pow p 4))) 2) (pow p 2))))))) (pow p 2))))))) (* p (pow x 6)))) (+ (* 1/2 (/ (- (* -4 (pow p 4)) (* -1 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 16 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -4 (pow p 4)) (* -1 (pow p 4))))) (+ (* -1/4 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -4 (pow p 4)) (* -1 (pow p 4))) 2) (pow p 2)))))) (* p (pow x 4))))))) x))
1
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))
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(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4))) (* 1/32 (pow x 3))) (* (pow p 3) (sqrt 1/2)))) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3))) (* 1/2 (/ (+ (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4))) (* 1/32 (pow x 3))) (* p (sqrt 1/2))))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))
-1/2
(- (* 1/8 (/ (pow x 2) (pow p 2))) 1/2)
(- (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow p 4))) (* 1/8 (/ 1 (pow p 2))))) 1/2)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/128 (/ (pow x 2) (pow p 6))) (* 1/32 (/ 1 (pow p 4))))) (* 1/8 (/ 1 (pow p 2))))) 1/2)
(* -2 (/ (pow p 2) (pow x 2)))
(/ (+ (* -2 (pow p 2)) (* 8 (/ (pow p 4) (pow x 2)))) (pow x 2))
(/ (+ (* -32 (/ (pow p 6) (pow x 4))) (+ (* -2 (pow p 2)) (* 8 (/ (pow p 4) (pow x 2))))) (pow x 2))
(/ (+ (* -32 (/ (pow p 6) (pow x 4))) (+ (* -2 (pow p 2)) (+ (* 8 (/ (pow p 4) (pow x 2))) (* 128 (/ (pow p 8) (pow x 6)))))) (pow x 2))
(* -2 (/ (pow p 2) (pow x 2)))
(/ (+ (* -2 (pow p 2)) (* 8 (/ (pow p 4) (pow x 2)))) (pow x 2))
(/ (+ (* -32 (/ (pow p 6) (pow x 4))) (+ (* -2 (pow p 2)) (* 8 (/ (pow p 4) (pow x 2))))) (pow x 2))
(/ (+ (* -32 (/ (pow p 6) (pow x 4))) (+ (* -2 (pow p 2)) (+ (* 8 (/ (pow p 4) (pow x 2))) (* 128 (/ (pow p 8) (pow x 6)))))) (pow x 2))
(* -2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (* 8 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* -32 (/ (pow p 2) (pow x 6))) (* 8 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 128 (/ (pow p 2) (pow x 8))) (* 32 (/ 1 (pow x 6))))) (* 8 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
-1/2
(- (* 1/8 (/ (pow x 2) (pow p 2))) 1/2)
(- (+ (* -1/32 (/ (pow x 4) (pow p 4))) (* 1/8 (/ (pow x 2) (pow p 2)))) 1/2)
(- (+ (* -1/32 (/ (pow x 4) (pow p 4))) (+ (* 1/128 (/ (pow x 6) (pow p 6))) (* 1/8 (/ (pow x 2) (pow p 2))))) 1/2)
-1/2
(- (* 1/8 (/ (pow x 2) (pow p 2))) 1/2)
(- (+ (* -1/32 (/ (pow x 4) (pow p 4))) (* 1/8 (/ (pow x 2) (pow p 2)))) 1/2)
(- (+ (* -1/32 (/ (pow x 4) (pow p 4))) (+ (* 1/128 (/ (pow x 6) (pow p 6))) (* 1/8 (/ (pow x 2) (pow p 2))))) 1/2)
(* 1/4 (/ (pow x 2) (pow p 2)))
(* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow p 4))) (* 1/4 (/ 1 (pow p 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow p 6))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2)))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow p 8))) (* 1/64 (/ 1 (pow p 6))))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2)))))
1
(+ 1 (* -4 (/ (pow p 2) (pow x 2))))
(- (+ 1 (* 16 (/ (pow p 4) (pow x 4)))) (* 4 (/ (pow p 2) (pow x 2))))
(- (+ 1 (* -64 (/ (pow p 6) (pow x 6)))) (+ (* -16 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 2) (pow x 2)))))
1
(+ 1 (* -4 (/ (pow p 2) (pow x 2))))
(- (+ 1 (* 16 (/ (pow p 4) (pow x 4)))) (* 4 (/ (pow p 2) (pow x 2))))
(- (+ 1 (* -64 (/ (pow p 6) (pow x 6)))) (+ (* -16 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 2) (pow x 2)))))
1
(+ 1 (* -4 (/ (pow p 2) (pow x 2))))
(+ 1 (* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))
(* 1/4 (/ (pow x 2) (pow p 2)))
(/ (+ (* -1/16 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) (pow p 2))
(/ (- (+ (* 1/64 (/ (pow x 6) (pow p 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow p 2)))) (pow p 2))
(/ (- (+ (* -1/256 (/ (pow x 8) (pow p 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow p 4))) (* 1/16 (/ (pow x 4) (pow p 2))))) (pow p 2))
(* 1/4 (/ (pow x 2) (pow p 2)))
(/ (+ (* -1/16 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) (pow p 2))
(/ (- (+ (* 1/64 (/ (pow x 6) (pow p 4))) (* 1/4 (pow x 2))) (* 1/16 (/ (pow x 4) (pow p 2)))) (pow p 2))
(/ (- (+ (* -1/256 (/ (pow x 8) (pow p 6))) (* 1/4 (pow x 2))) (+ (* -1/64 (/ (pow x 6) (pow p 4))) (* 1/16 (/ (pow x 4) (pow p 2))))) (pow p 2))
-1
(- (* 1/4 (/ (pow x 2) (pow p 2))) 1)
(- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow p 4))) (* 1/4 (/ 1 (pow p 2))))) 1)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow p 6))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2))))) 1)
(* -4 (/ (pow p 2) (pow x 2)))
(/ (- (* 16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))
(/ (- (* -64 (/ (pow p 6) (pow x 4))) (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (pow x 2))
(/ (- (* 256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))
(* -4 (/ (pow p 2) (pow x 2)))
(/ (- (* 16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2))
(/ (- (* -64 (/ (pow p 6) (pow x 4))) (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (pow x 2))
(/ (- (* 256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2))
(* -4 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* -64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 256 (/ (pow p 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))
-1
(- (* 1/4 (/ (pow x 2) (pow p 2))) 1)
(- (+ (* -1/16 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))) 1)
(- (+ (* 1/64 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))) (+ 1 (* 1/16 (/ (pow x 4) (pow p 4)))))
-1
(- (* 1/4 (/ (pow x 2) (pow p 2))) 1)
(- (+ (* -1/16 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))) 1)
(- (+ (* 1/64 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))) (+ 1 (* 1/16 (/ (pow x 4) (pow p 4)))))
x
(+ x (* 2 (/ (pow p 2) x)))
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))
(* 2 p)
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -2 p)
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
(* 2 p)
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p))
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
x
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))
1
(+ 1 (* 1/2 (/ x p)))
(+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))
(+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))
2
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(* 2 (/ (pow p 2) (pow x 2)))
(/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))
(/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2)))) (pow x 2))
(/ (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2))))) (pow x 2))
2
(+ 2 (* -2 (/ (pow p 2) (pow x 2))))
(+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))
1
(+ 1 (* 1/2 (/ x p)))
(+ 1 (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))
(+ 1 (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))))
1
(+ 1 (* -1/2 (/ x p)))
(+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
(+ 1 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
(/ (pow p 2) (pow x 2))
-1
(- (* 1/2 (/ x p)) 1)
(- (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))) 1)
(- (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))) 1)
(* -2 (/ (pow p 2) (pow x 2)))
(/ (+ (* -2 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2)))) (pow x 2))
(/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))))) (pow x 2))
(/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4)))))) (pow x 2))
-2
(- (* 2 (/ (pow p 2) (pow x 2))) 2)
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 2)
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 2)
(* -2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 70 (/ (pow p 2) (pow x 8))) (* 20 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
-1
(- (* 1/2 (/ x p)) 1)
(- (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))) 1)
(- (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))) 1)
-1
(- (* -1/2 (/ x p)) 1)
(- (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)) 1)
(- (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)) 1)
-1
(- (* 1/2 (/ x p)) 1)
(- (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))) 1)
(- (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))) 1)
(* -2 (/ (pow p 2) (pow x 2)))
(/ (+ (* -2 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2)))) (pow x 2))
(/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))))) (pow x 2))
(/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4)))))) (pow x 2))
-2
(- (* 2 (/ (pow p 2) (pow x 2))) 2)
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 2)
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 2)
(* -2 (/ (pow p 2) (pow x 2)))
(* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 70 (/ (pow p 2) (pow x 8))) (* 20 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
-1
(- (* 1/2 (/ x p)) 1)
(- (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))) 1)
(- (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))) 1)
-1
(- (* -1/2 (/ x p)) 1)
(- (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)) 1)
(- (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)) 1)

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
(fma.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x x) (.f64 p (*.f64 p p))) (/.f64 #s(literal 1/4 binary64) p)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal 3/512 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/32 binary64) (.f64 p (.f64 p p)))) (/.f64 #s(literal 1/4 binary64) p)) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (.f64 x x)))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (*.f64 x x))))
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))
(fma.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (*.f64 x x))))
(/ (pow p 2) (pow x 2))
(/.f64 (.f64 p p) (.f64 x x))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) (.f64 p p)) (.f64 x x))
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (.f64 x x))
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p))) (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow p 2) (pow x 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (.f64 x x)))
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))
(fma.f64 (.f64 p p) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))
(fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -10 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ x p)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))
(fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 p (.f64 p p))) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 p #s(literal 5 binary64))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 p (.f64 p p))) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (/ x p)))
(fma.f64 (/.f64 x p) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 p p)) (.f64 #s(literal 1/4 binary64) x)) p))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 p p)) (.f64 #s(literal 1/4 binary64) x))) p))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 p p))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 p p)) (/.f64 (.f64 #s(literal -3/128 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 p (.f64 p p)))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(-.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 p p) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))
(fma.f64 (neg.f64 (.f64 p p)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 p p) (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 p p) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))
(/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 p (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x))
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))
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#s(literal 2 binary64)
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(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (/.f64 (.f64 x x) (pow.f64 p #s(literal 5 binary64))) #s(literal 3/256 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 p (.f64 p p)))) (/.f64 #s(literal 1/2 binary64) p)) #s(literal -1 binary64))
(* -2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (.f64 p p) #s(literal -2 binary64)) (*.f64 x x))
(/ (+ (* -2 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal -1/2 binary64) (.f64 (.f64 p p) #s(literal -2 binary64))) (*.f64 x x))
(/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 (.f64 p p) #s(literal -2 binary64))) (*.f64 x x))
(/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4)))))) (pow x 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (.f64 (.f64 p p) #s(literal -2 binary64))) (*.f64 x x))
-2
#s(literal -2 binary64)
(- (* 2 (/ (pow p 2) (pow x 2))) 2)
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64))
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 2)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (*.f64 x x)) #s(literal -2 binary64)))
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 2)
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (*.f64 x x)) #s(literal -2 binary64)))
(* -2 (/ (pow p 2) (pow x 2)))
(/.f64 (.f64 (.f64 p p) #s(literal -2 binary64)) (*.f64 x x))
(* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 p p) (fma.f64 #s(literal 6 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -2 binary64) (.f64 x x))))
(* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) #s(literal -20 binary64) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 70 (/ (pow p 2) (pow x 8))) (* 20 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) #s(literal 70 binary64) (/.f64 #s(literal -20 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -2 binary64) (.f64 x x))))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ x p)) 1)
(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal -1 binary64))
(- (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))) 1)
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 p (.f64 p p))) #s(literal -1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal -1 binary64)))
(- (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))) 1)
(fma.f64 (neg.f64 x) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 p #s(literal 5 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 p (*.f64 p p))) #s(literal -1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* -1/2 (/ x p)) 1)
(fma.f64 (/.f64 x p) #s(literal -1/2 binary64) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)) 1)
(+.f64 (/.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 p p)) #s(literal -1/16 binary64) (.f64 #s(literal 1/2 binary64) x)) (neg.f64 p)) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)) 1)
(+.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 p p)) #s(literal -1/16 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 x (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 p #s(literal 4 binary64)))) (neg.f64 p)) #s(literal -1 binary64))

rewrite526.0ms (4.4%)

Memory

12.7MiB live, 481.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 444×	`lower-*.f32`
5 432×	`lower-*.f64`
4 004×	`lower-fma.f32`
3 990×	`lower-fma.f64`
3 502×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	475
0	91	499
1	390	483
2	2573	371
0	8930	366

Stop Event

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

Counts

23 → 837

Calls

Call 1

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

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

eval302.0ms (2.5%)

Memory: 51.6MiB live, 309.9MiB allocated
Compiler: Compiled 69 755 to 4 199 computations (94% saved)

prune311.0ms (2.6%)

Memory

-33.5MiB live, 373.9MiB allocated

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	1 597	4	1 601
Fresh	2	3	5
Picked	2	3	5
Done	1	5	6
Total	1 602	15	1 617

Accuracy

99.9%

Counts

1 617 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.3%	(/.f64 (.f64 (pow.f64 (pow.f64 #s(approx (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 p (.f64 p (fma.f64 (.f64 p p) (fma.f64 p (.f64 (/.f64 p (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -256 binary64)) (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)))) (/.f64 #s(literal -16 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))))))
✓	80.6%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	77.7%	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) x #s(literal 1/2 binary64)))
✓	7.3%	(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* p (* 4 p))))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	50.3%	(sqrt.f64 (fma.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))
	6.3%	(sqrt.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(approx (+ (/ x (sqrt (+ ( x x) (* p (* 4 p))))) -1) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64)))))
✓	80.6%	(sqrt.f64 (/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))))))
	12.8%	(sqrt.f64 (/.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 p (.f64 p (fma.f64 (.f64 p p) (fma.f64 p (.f64 (/.f64 p (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -256 binary64)) (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)))) (/.f64 #s(literal -16 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))))
	6.1%	(sqrt.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (sqrt (+ (* x x) (* p (* 4 p))))) -1) (fma.f64 #s(literal 2 binary64) (.f64 p (/.f64 p (.f64 x x))) #s(literal -2 binary64))))))
	15.8%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x))) (.f64 p p)) (*.f64 x x))))
✓	55.1%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
	29.1%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	25.5%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x)))
	25.4%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (*.f64 (/.f64 #s(literal -1 binary64) x) p))
✓	38.3%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) #s(literal 1 binary64))

Compiler

Compiled 1 528 to 435 computations (71.5% saved)

regimes106.0ms (0.9%)

Memory

27.7MiB live, 112.8MiB allocated

Counts

36 → 2

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (*.f64 (/.f64 #s(literal -1 binary64) x) p))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) (* p (* 4 p))))) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) p)) (neg.f64 x)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* p (* 4 p))))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) x #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x))) (.f64 p p)) (*.f64 x x))))
(sqrt.f64 (/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(approx (+ (/ x (sqrt (+ ( x x) (* p (* 4 p))))) -1) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64)))))
(sqrt.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(approx (+ (/ x (sqrt (+ ( x x) (* p (* 4 p))))) -1) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64)))))
(sqrt.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (sqrt (+ (* x x) (* p (* 4 p))))) -1) (fma.f64 #s(literal 2 binary64) (.f64 p (/.f64 p (.f64 x x))) #s(literal -2 binary64))))))
(sqrt.f64 (/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64))))
(sqrt.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal -1 binary64))))
(sqrt.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (- 1 (/ x (sqrt (+ ( x x) (* p (* 4 p)))))) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64) #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))))))
(sqrt.f64 (/.f64 (.f64 (fma.f64 x (/.f64 x (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x))))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64))))))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))))
(sqrt.f64 (/.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 p (.f64 p (fma.f64 (.f64 p p) (fma.f64 p (.f64 (/.f64 p (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -256 binary64)) (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)))) (/.f64 #s(literal -16 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 x x)))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (* x x))))) (/.f64 (fma.f64 p (.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x))) (/.f64 (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 p #s(literal 4 binary64)))))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (.f64 (pow.f64 (pow.f64 #s(approx (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 p (.f64 p (fma.f64 (.f64 p p) (fma.f64 p (.f64 (/.f64 p (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -256 binary64)) (/.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)))) (/.f64 #s(literal -16 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))))))
(/.f64 (.f64 (sqrt.f64 #s(approx (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))))))
(/.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64))))))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64))))))) (.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 p #s(literal 4 binary64)))))))))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 144 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal -256 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 p p) (.f64 p p)))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 p p) (.f64 p p)) (/.f64 #s(literal -12 binary64) (.f64 x x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 #s(literal -12 binary64) (.f64 p p))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 p p)) (*.f64 x x))))
(/.f64 (.f64 #s(approx (sqrt (+ ( (neg x) (/ x (+ (* x x) (* p (* 4 p))))) 1)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 48 binary64)))) (.f64 p (pow.f64 x #s(literal 6 binary64)))) (/.f64 (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 48 binary64)) (.f64 p (pow.f64 x #s(literal 4 binary64))))) (fma.f64 p #s(literal 2 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 p (.f64 p p))) (.f64 x x)))) (neg.f64 x))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (*.f64 #s(literal 4 binary64) p))))))))

Outputs

#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x)))

(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 p (*.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Calls

7 calls:

32.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
26.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
10.0ms	p
10.0ms	x
9.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)

Results

Accuracy	Segments	Branch
80.6%	1	`p`
86.2%	2	`x`
99.8%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
99.8%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.8%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
80.6%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`

Compiler

Compiled 80 to 56 computations (30% saved)

regimes48.0ms (0.4%)

Memory

-22.3MiB live, 17.2MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x)))

(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (*.f64 p (*.f64 #s(literal 4 binary64) p))))) x #s(literal 1/2 binary64)))

Calls

4 calls:

4.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
4.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
4.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
4.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))

Results

Accuracy	Segments	Branch
99.8%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
99.8%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.8%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes15.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x)))

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

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

Calls

4 calls:

4.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
3.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
3.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
3.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))

Results

Accuracy	Segments	Branch
99.2%	3	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
99.2%	3	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.2%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.2%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes15.0ms (0.1%)

Memory

-19.5MiB live, 19.0MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x)))

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

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

Calls

4 calls:

7.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
2.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
2.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
2.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))

Results

Accuracy	Segments	Branch
99.0%	3	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
99.0%	3	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.0%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.0%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes8.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x)))

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

#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) #s(literal 1 binary64))

Calls

4 calls:

2.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
2.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
2.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
2.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))

Results

Accuracy	Segments	Branch
98.9%	3	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
98.9%	3	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
98.9%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.9%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes26.0ms (0.2%)

Memory

-22.1MiB live, 18.3MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) #s(literal 1 binary64))

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

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

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

Calls

7 calls:

15.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
2.0ms	x
2.0ms	p
2.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
2.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))

Results

Accuracy	Segments	Branch
71.9%	2	`p`
71.9%	2	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
62.2%	2	`x`
76.8%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
76.8%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
76.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
76.8%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 80 to 56 computations (30% saved)

regimes9.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

1.0ms	p
1.0ms	x
1.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
1.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
1.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Results

Accuracy	Segments	Branch
38.3%	1	`x`
38.3%	1	`p`
38.3%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
38.3%	1	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
38.3%	1	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
38.3%	1	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
38.3%	1	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`

Compiler

Compiled 80 to 56 computations (30% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999996	-0.9999999774198804

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999996	-0.9999999774198804

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.2540975787120672	0.9999999997906328
0.0ms	-0.999928252630349	-0.00015172359015375346

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.2540975787120672	0.9999999997906328
0.0ms	-0.999928252630349	-0.00015172359015375346

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.2540975787120672	0.9999999997906328
0.0ms	-0.999928252630349	-0.00015172359015375346

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch25.0ms (0.2%)

Memory

-25.9MiB live, 12.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	0.2540975787120672	0.9999999997906328

Samples

3.0ms

80×

valid

Compiler

Compiled 77 to 64 computations (16.9% saved)

Precisions

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

ival-sqrt: 1.0ms (62.3% of total)

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

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

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
8×	`+-commutative_binary64`
6×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	469
1	77	469
2	83	469
3	88	469
4	91	469
5	92	469

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -9007199074597007/9007199254740992 binary64)) #s(approx (sqrt (+ ( (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x))) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -9007199074597007/9007199254740992 binary64)) #s(approx (sqrt (+ ( (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) x #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x))) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x))) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x))) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 8286623314361713/18014398509481984 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) #s(literal 1 binary64))

Outputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -9007199074597007/9007199254740992 binary64)) #s(approx (sqrt (+ ( (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x))) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -9007199074597007/9007199254740992 binary64)) #s(approx (sqrt (+ ( (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x))) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -9007199074597007/9007199254740992 binary64)) #s(approx (sqrt (+ ( (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) x #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -9007199074597007/9007199254740992 binary64)) #s(approx (sqrt (+ ( (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x (.f64 p (.f64 #s(literal 4 binary64) p))))) x #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x))) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x))) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x))) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x))) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x))) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) (/.f64 p (neg.f64 x))) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))) #s(literal 8286623314361713/18014398509481984 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 #s(literal 4 binary64) p)) (.f64 x x)))) #s(literal 8286623314361713/18014398509481984 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1/2) 1/2)) #s(literal 1 binary64))

soundness639.0ms (5.3%)

Memory

-14.5MiB live, 466.2MiB allocated

Rules

9 590×	`lower-fma.f64`
9 590×	`lower-fma.f32`
9 474×	`lower-fma.f64`
9 474×	`lower-fma.f32`
7 426×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	2482
1	1325	2377
2	4606	2304
0	8075	2141
0	14	66
0	23	66
1	77	66
2	501	66
3	6967	66
0	8492	59
0	1020	10397
1	3216	10056
0	8420	9428

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

Compiler

Compiled 1 055 to 420 computations (60.2% saved)

preprocess61.0ms (0.5%)

Memory: 5.4MiB live, 160.7MiB allocated
Compiler: Compiled 618 to 182 computations (70.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze534.0ms (4.5%)

sample2.5s (20.8%)

preprocess66.0ms (0.5%)

explain242.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize67.0ms (0.6%)

series73.0ms (0.6%)

simplify407.0ms (3.4%)

rewrite280.0ms (2.3%)

eval123.0ms (1%)

prune63.0ms (0.5%)

simplify129.0ms (1.1%)

localize303.0ms (2.5%)

series104.0ms (0.9%)

simplify649.0ms (5.4%)

rewrite469.0ms (3.9%)

eval401.0ms (3.4%)

prune227.0ms (1.9%)

simplify429.0ms (3.6%)

localize386.0ms (3.2%)

series46.0ms (0.4%)

simplify385.0ms (3.2%)

rewrite340.0ms (2.8%)

eval183.0ms (1.5%)

prune141.0ms (1.2%)

simplify426.0ms (3.6%)

localize357.0ms (3%)

series32.0ms (0.3%)

simplify492.0ms (4.1%)

rewrite526.0ms (4.4%)

eval302.0ms (2.5%)

prune311.0ms (2.6%)

regimes106.0ms (0.9%)

regimes48.0ms (0.4%)

regimes15.0ms (0.1%)

regimes15.0ms (0.1%)

regimes8.0ms (0.1%)

regimes26.0ms (0.2%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch25.0ms (0.2%)

simplify10.0ms (0.1%)

soundness639.0ms (5.3%)

preprocess61.0ms (0.5%)

end0.0ms (0%)

Profiling