Metrics for Given's Rotation SVD example

start0.0ms (0%)

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

analyze524.0ms (7.2%)

Memory

-2.8MiB live, 743.4MiB allocated; 117ms collecting garbage

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)

sample2.3s (31.5%)

Memory

68.7MiB live, 3 239.6MiB allocated; 619ms collecting garbage

Samples

1.0s	6 225×	0	valid
356.0ms	995×	2	valid
183.0ms	402×	3	valid
176.0ms	634×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

const: 372.0ms (25.4% of total)

ival-mult: 317.0ms (21.6% of total)

ival-sqrt: 206.0ms (14.1% of total)

ival-div: 148.0ms (10.1% of total)

ival-add: 135.0ms (9.2% of total)

adjust: 129.0ms (8.8% of total)

ival-fabs: 86.0ms (5.9% of total)

ival-<: 45.0ms (3.1% of total)

ival-and: 12.0ms (0.8% of total)

exact: 11.0ms (0.8% of total)

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

Bogosity

explain264.0ms (3.6%)

Memory

16.4MiB live, 351.5MiB allocated; 37ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
67	0	-	0	-	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`
37	1	(1.8665655363492973e-257 -1.415031717662178e-95)	0	-	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
26	0	-	1	(-5.279034606058244e-272 -9.23376785876247e-112)	`(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	67	0
↳	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`	overflow	67
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	overflow	67
`+.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	25	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	5
↳	`(.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	30
↳	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	underflow	29
↳	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`	underflow	10
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	underflow	70

Confusion

	Predicted +	Predicted -
+	62	0
-	67	127

Precision

0.4806201550387597

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	62	0	0
-	67	0	127

Precision?

0.4806201550387597

Recall?

1.0

Freqs

test

number	freq
0	127
1	128
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms	378×	0	valid
18.0ms	62×	2	valid
13.0ms	26×	3	valid
9.0ms	46×	1	valid

Compiler

Compiled 209 to 46 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 21.0ms (37.6% of total)

ival-sqrt: 11.0ms (19.7% of total)

ival-div: 9.0ms (16.1% of total)

adjust: 7.0ms (12.5% of total)

ival-add: 7.0ms (12.5% of total)

exact: 1.0ms (1.8% of total)

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

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

preprocess206.0ms (2.8%)

Memory

18.1MiB live, 153.5MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	89
1	95	87
2	266	87
3	636	87
4	1863	87
5	7537	87
0	14	17
0	23	17
1	44	17
2	108	17
3	271	17
4	865	17
5	4673	17
0	8739	11

Stop Event

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

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

Symmetry

(abs p)

Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.8%	(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 17 to 14 computations (17.6% saved)

simplify186.0ms (2.6%)

Memory

-24.8MiB live, 172.3MiB allocated; 22ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
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	1	(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
cost-diff	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))))))
cost-diff	4	(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	94
0	23	94
1	44	94
2	108	94
3	271	94
4	865	94
5	4673	94
0	8739	66

Stop Event

1×	iter limit
1×	node limit
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 (/.f64 #s(literal 1/2 binary64) (hypot.f64 (*.f64 p #s(literal 2 binary64)) 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 (/.f64 #s(literal 1/2 binary64) (hypot.f64 (*.f64 p #s(literal 2 binary64)) 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 (/.f64 x (hypot.f64 (*.f64 p #s(literal 2 binary64)) x)) #s(literal -1 binary64))
#s(literal 1 binary64)
(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
(/.f64 x (hypot.f64 (*.f64 p #s(literal 2 binary64)) x))
x
(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
(hypot.f64 (*.f64 p #s(literal 2 binary64)) x)
(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
(fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))
(.f64 (.f64 #s(literal 4 binary64) p) p)
(.f64 (.f64 p #s(literal 4 binary64)) p)
(*.f64 #s(literal 4 binary64) p)
(*.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
p
(*.f64 x x)

localize61.0ms (0.8%)

Memory

17.2MiB live, 115.4MiB allocated; 10ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
accuracy	5.851974720017231	(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	8.224793439398983	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
accuracy	15.651121598460792	(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))

Samples

23.0ms	189×	0	valid
9.0ms	31×	2	valid
5.0ms	13×	3	valid
5.0ms	23×	1	valid

Compiler

Compiled 96 to 16 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 14.0ms (47% of total)

ival-sqrt: 5.0ms (16.8% of total)

ival-add: 4.0ms (13.4% of total)

ival-div: 3.0ms (10.1% of total)

adjust: 3.0ms (10.1% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory

-9.5MiB live, 36.9MiB allocated; 4ms collecting garbage

Counts

6 → 105

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 x))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ x (* 2 (/ (pow p 2) x)))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 4 p) p) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* 4 p) p) (* x x)) #s(hole binary64 (+ (* 4 (pow p 2)) (pow x 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* (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))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 2 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole 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))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 1))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* 2 p)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole 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)))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole 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)))))))
#s(approx (+ (* (* 4 p) p) (* x x)) #s(hole binary64 (* 4 (pow p 2))))
#s(approx (+ (* (* 4 p) p) (* x x)) #s(hole binary64 (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 1))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* 1/2 (/ x p)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole 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)))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* 1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -2 p)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -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))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (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)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* -1/2 (/ x p)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 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)))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* -1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole 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))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* -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))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ (* 1/4 (/ (pow x 2) p)) (* 2 p))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole 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)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole 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)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* 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))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole 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))))))))
#s(approx (+ (* (* 4 p) p) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 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))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (+ 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))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (+ (* 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))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (+ (* 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))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -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))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -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))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -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))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (* 2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (/ (+ (* 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))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (/ (+ (* 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))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 -1))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole 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))))) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	p	@	0	((sqrt (+ (* (* 4 p) p) (* x x))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (* 4 p) p) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))
5.0ms	x	@	-inf	((sqrt (+ (* (* 4 p) p) (* x x))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (* 4 p) p) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))
3.0ms	x	@	inf	((sqrt (+ (* (* 4 p) p) (* x x))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (* 4 p) p) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))
3.0ms	x	@	0	((sqrt (+ (* (* 4 p) p) (* x x))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (* 4 p) p) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))
3.0ms	p	@	inf	((sqrt (+ (* (* 4 p) p) (* x x))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (* 4 p) p) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))

simplify228.0ms (3.2%)

Memory

-12.3MiB live, 171.1MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	586	4197
1	1774	4063
0	8282	3751

Stop Event

1×	iter limit
1×	node limit

Counts

105 → 105

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 x))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ x (* 2 (/ (pow p 2) x)))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 4 p) p) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* 4 p) p) (* x x)) #s(hole binary64 (+ (* 4 (pow p 2)) (pow x 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* (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))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 2 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole 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))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 1))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* 2 p)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole 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)))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole 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)))))))
#s(approx (+ (* (* 4 p) p) (* x x)) #s(hole binary64 (* 4 (pow p 2))))
#s(approx (+ (* (* 4 p) p) (* x x)) #s(hole binary64 (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 1))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* 1/2 (/ x p)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole 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)))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* 1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -2 p)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -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))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (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)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* -1/2 (/ x p)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 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)))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* -1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole 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))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* -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))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ (* 1/4 (/ (pow x 2) p)) (* 2 p))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole 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)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole 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)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* 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))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole 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))))))))
#s(approx (+ (* (* 4 p) p) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 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))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (+ 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))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (+ (* 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))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (+ (* 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))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -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))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -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))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -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))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (* 2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (/ (+ (* 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))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (/ (+ (* 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))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 -1))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole 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))))) 1)))

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

rewrite73.0ms (1%)

Memory

13.5MiB live, 56.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	78
0	23	78
1	79	78
0	557	70

Stop Event

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

Counts

6 → 91

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (neg.f64 x) x))))
(/.f64 (hypot.f64 (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)) (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(exp.f64 (.f64 (log.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))) #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal -1 binary64))))
(.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))))))
(+.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64))) (-.f64 (.f64 x x) (.f64 (*.f64 p #s(literal 4 binary64)) p)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 p p) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)) (pow.f64 (.f64 (*.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 p p) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (*.f64 p #s(literal 4 binary64)) p) x) x))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 p p) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)) (pow.f64 (.f64 (*.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (.f64 (.f64 p #s(literal 4 binary64)) p))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (.f64 p #s(literal 4 binary64)) p))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 p #s(literal 4 binary64)) p))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (.f64 p #s(literal 4 binary64)) p))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 p #s(literal 4 binary64)) p))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 p #s(literal 4 binary64)) p))
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))
(fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (neg.f64 x) x))))
(-.f64 (.f64 x x) (.f64 (neg.f64 (*.f64 p #s(literal 4 binary64))) p))
(-.f64 (.f64 x x) (.f64 (neg.f64 p) (*.f64 p #s(literal 4 binary64))))
(-.f64 (.f64 x x) (.f64 #s(literal -4 binary64) (*.f64 p p)))
(-.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)) (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 p #s(literal 4 binary64)) p)) (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64)))))
(+.f64 (.f64 x x) (.f64 (*.f64 p #s(literal 4 binary64)) p))
(+.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) (*.f64 x x))
(.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal -1 binary64))))
(pow.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))))) (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))))))
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))))
(/.f64 (.f64 #s(literal 1 binary64) x) (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))))
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))))

eval37.0ms (0.5%)

Memory: -21.3MiB live, 39.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 6 358 to 1 163 computations (81.7% saved)

prune12.0ms (0.2%)

Memory

20.4MiB live, 20.4MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	178	14	192
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	179	14	193

Accuracy

99.7%

Counts

193 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.8%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	52.8%	(sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)))))
	74.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))))))
	5.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)))))
	11.1%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (* x x))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (fma.f64 (.f64 #s(literal 2 binary64) p) p (/.f64 (fma.f64 (.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)))))
▶	50.0%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
▶	13.1%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p)) (*.f64 x x))))
	11.2%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 p p) (.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))))
	15.6%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (/.f64 (*.f64 p p) x) x)))
	26.6%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 p p) x) x))))
	36.3%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64)))
▶	53.9%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
	19.3%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 p (.f64 x x))) (/.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x)))
▶	27.7%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)))

Compiler

Compiled 890 to 614 computations (31% saved)

simplify124.0ms (1.7%)

Memory

-0.1MiB live, 90.1MiB allocated; 8ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p)) (*.f64 x x))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p)) (*.f64 x x)))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p)) (*.f64 x x))))
cost-diff	2	(fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p))
cost-diff	0	(*.f64 p (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x))
cost-diff	0	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)))
cost-diff	0	(/.f64 x p)
cost-diff	0	(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
cost-diff	0	(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
cost-diff	4	(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	358
0	76	344
1	141	344
2	363	340
3	1209	340
4	4950	340
0	8117	292

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #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 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
x
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(.f64 (.f64 p #s(literal 4 binary64)) p)
(*.f64 p #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)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 x p)
x
p
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)))
(/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x))
(.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 p (sqrt.f64 #s(literal 2 binary64)))
p
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 x)
x
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p)) (*.f64 x x))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p)) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p)) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p))
(/.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
(/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x)
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))
(pow.f64 p #s(literal 4 binary64))
p
#s(literal 4 binary64)
#s(literal -12 binary64)
(*.f64 p p)
(*.f64 x x)

Outputs
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 (*.f64 p #s(literal 2 binary64)) x)) x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 (*.f64 p #s(literal 2 binary64)) x)) x #s(literal 1/2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
(/.f64 x (hypot.f64 (*.f64 p #s(literal 2 binary64)) x))
x
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(hypot.f64 (*.f64 p #s(literal 2 binary64)) x)
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(.f64 (.f64 p #s(literal 4 binary64)) p)
(.f64 (.f64 #s(literal 4 binary64) p) p)
(*.f64 p #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) p)
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)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #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 (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
#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)))
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))
(/.f64 x p)
x
p
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)))
(/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
(.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 p (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) p)
p
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 x)
x
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p)) (*.f64 x x))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) x) (.f64 p p)) (.f64 x x))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p)) (*.f64 x x)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) x) (.f64 p p)) (.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p)) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) x) (.f64 p p)) (.f64 x x))
(fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p))
(fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) x) (*.f64 p p))
(/.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
(/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x)
(/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) x)
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))
(*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))
(pow.f64 p #s(literal 4 binary64))
p
#s(literal 4 binary64)
#s(literal -12 binary64)
(*.f64 p p)
(*.f64 x x)

localize220.0ms (3%)

Memory

19.9MiB live, 259.3MiB allocated; 29ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	5.851974720017231	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p)) (*.f64 x x))))
accuracy	7.024736530838981	(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p)) (*.f64 x x))
accuracy	18.406492090517958	(fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p))
accuracy	46.321840525804916	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p)) (*.f64 x x)))
accuracy	0.0	(neg.f64 x)
accuracy	0.421875	(*.f64 p (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.45703125	(.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	46.10523486886647	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)))
accuracy	0.0	(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
accuracy	0.0	(/.f64 x p)
accuracy	5.851974720017231	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
accuracy	31.932368813337025	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
accuracy	5.851974720017231	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
accuracy	29.917687768688	#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))
accuracy	0.01171875	(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
accuracy	5.851974720017231	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	8.216342721987228	(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	15.651121598460792	(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))

Samples

97.0ms	189×	0	valid
58.0ms	23×	1	valid
23.0ms	31×	2	valid
13.0ms	13×	3	valid

Compiler

Compiled 303 to 44 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-mult: 56.0ms (38.1% of total)

ival-div: 40.0ms (27.2% of total)

ival-add: 22.0ms (15% of total)

ival-sqrt: 13.0ms (8.8% of total)

adjust: 11.0ms (7.5% of total)

ival-pow: 3.0ms (2% 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)

series55.0ms (0.8%)

Memory

-31.9MiB live, 62.0MiB allocated; 19ms collecting garbage

Counts

19 → 141

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #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 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #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)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 x p)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)))
(/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x))
(.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 p (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p)) (*.f64 x x))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p)) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p)) (*.f64 x x))
(neg.f64 x)

Outputs
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* 2 (/ (pow p 2) x)))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 1))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* (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))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x p) 1/4) 1/2) #s(hole binary64 (* 1/4 (/ x p))))
#s(approx (+ (* (/ x p) 1/4) 1/2) #s(hole binary64 (/ (+ (* 1/4 x) (* 1/2 p)) p)))
#s(approx (/ x p) #s(hole binary64 (/ x p)))
#s(approx (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) #s(hole binary64 (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))))
#s(approx (* (* p (sqrt 2)) (sqrt 1/2)) #s(hole binary64 (* p (* (sqrt 1/2) (sqrt 2)))))
#s(approx (* p (sqrt 2)) #s(hole binary64 (* p (sqrt 2))))
#s(approx (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) #s(hole binary64 (pow p 2)))
#s(approx (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) #s(hole binary64 (* (pow p 2) (+ 1 (* -3 (/ (pow p 2) (pow x 2)))))))
#s(approx (/ (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) (* x x)) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (/ (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) (* x x)) #s(hole binary64 (* (pow p 2) (+ (* -3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* 2 p)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole 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)))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (sqrt 1/2)))
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#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole 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)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))))
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#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))))
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#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole 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)))))))
#s(approx (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) #s(hole binary64 (/ (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2))) (pow x 2))))
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#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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))))))))
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#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 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))))))))
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#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole 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))))))))
#s(approx (+ (* (/ x p) 1/4) 1/2) #s(hole binary64 (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) #s(hole binary64 (+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2))))
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#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 x)))
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#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))))
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#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -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))))
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#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -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))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -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))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -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))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (+ (* 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))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (+ (* 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))))

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	p	@	0	((sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) (* (* p (sqrt 2)) (sqrt 1/2)) (* p (sqrt 2)) (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/ (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) (* x x)) (neg x))
9.0ms	x	@	-inf	((sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) (* (* p (sqrt 2)) (sqrt 1/2)) (* p (sqrt 2)) (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/ (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) (* x x)) (neg x))
4.0ms	x	@	inf	((sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) (* (* p (sqrt 2)) (sqrt 1/2)) (* p (sqrt 2)) (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/ (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) (* x x)) (neg x))
4.0ms	p	@	inf	((sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) (* (* p (sqrt 2)) (sqrt 1/2)) (* p (sqrt 2)) (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/ (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) (* x x)) (neg x))
4.0ms	x	@	0	((sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) (* (* p (sqrt 2)) (sqrt 1/2)) (* p (sqrt 2)) (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/ (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) (* x x)) (neg x))

simplify180.0ms (2.5%)

Memory

24.0MiB live, 256.3MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	771	5634
1	2323	5449
0	8715	5038

Stop Event

1×	iter limit
1×	node limit

Counts

141 → 141

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* 2 (/ (pow p 2) x)))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 1))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* (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))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x p) 1/4) 1/2) #s(hole binary64 (* 1/4 (/ x p))))
#s(approx (+ (* (/ x p) 1/4) 1/2) #s(hole binary64 (/ (+ (* 1/4 x) (* 1/2 p)) p)))
#s(approx (/ x p) #s(hole binary64 (/ x p)))
#s(approx (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) #s(hole binary64 (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))))
#s(approx (* (* p (sqrt 2)) (sqrt 1/2)) #s(hole binary64 (* p (* (sqrt 1/2) (sqrt 2)))))
#s(approx (* p (sqrt 2)) #s(hole binary64 (* p (sqrt 2))))
#s(approx (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) #s(hole binary64 (pow p 2)))
#s(approx (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) #s(hole binary64 (* (pow p 2) (+ 1 (* -3 (/ (pow p 2) (pow x 2)))))))
#s(approx (/ (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) (* x x)) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (/ (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) (* x x)) #s(hole binary64 (* (pow p 2) (+ (* -3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* 2 p)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole 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)))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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)))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole 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)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* 1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole 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)))))))
#s(approx (+ (* (/ x p) 1/4) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ x p) 1/4) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) #s(hole binary64 (* -3 (/ (pow p 4) (pow x 2)))))
#s(approx (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) #s(hole binary64 (* (pow p 4) (- (/ 1 (pow p 2)) (* 3 (/ 1 (pow x 2)))))))
#s(approx (/ (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) (* x x)) #s(hole binary64 (* -3 (/ (pow p 4) (pow x 4)))))
#s(approx (/ (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) (* x x)) #s(hole binary64 (* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -2 p)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -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))))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (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)))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 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)))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole 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))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -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))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (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)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 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)))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ (* 1/4 (/ (pow x 2) p)) (* 2 p))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole 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)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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)))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole 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)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* 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))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole 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)))))))
#s(approx (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) #s(hole binary64 (/ (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2))) (pow x 2))))
#s(approx (/ (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) (* x x)) #s(hole binary64 (/ (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2))) (pow x 4))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole 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))))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 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))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole 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))))))))
#s(approx (+ (* (/ x p) 1/4) 1/2) #s(hole binary64 (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) #s(hole binary64 (+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2))))
#s(approx (/ (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) (* x x)) #s(hole binary64 (/ (+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -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))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -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))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 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))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 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))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 -1))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole 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))))) 1)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -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))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -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))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -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))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (+ (* 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))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (+ (* 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))))

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

rewrite75.0ms (1%)

Memory

-32.8MiB live, 116.6MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	296
0	76	282
1	254	264
0	1647	260

Stop Event

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

Counts

19 → 199

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #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 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #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)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 x p)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)))
(/.f64 (.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x))
(.f64 (.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 p (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p)) (*.f64 x x))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p)) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p)) (*.f64 x x))
(neg.f64 x)

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

eval41.0ms (0.6%)

Memory: 8.4MiB live, 101.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 11 759 to 1 560 computations (86.7% saved)

prune12.0ms (0.2%)

Memory

32.2MiB live, 32.2MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	308	10	318
Fresh	9	0	9
Picked	3	2	5
Done	0	0	0
Total	320	12	332

Accuracy

100.0%

Counts

332 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.0%	(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	7.1%	(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	75.2%	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))
✓	50.0%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
	11.1%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))))
	13.6%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 #s(approx (+ (* (/ 1/4 x) (/ (* (pow p 4) -12) x)) (* p p)) (.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) (.f64 p p))) (.f64 x x))))
✓	53.9%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
▶	27.0%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
	19.2%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) p (/.f64 (.f64 (.f64 #s(literal -3 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) p) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 x)))
▶	19.5%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 (*.f64 x x) p)) p) (neg.f64 x)))
	28.0%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 p (neg.f64 x)))
▶	36.3%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))

Compiler

Compiled 687 to 493 computations (28.2% saved)

simplify191.0ms (2.6%)

Memory

-26.4MiB live, 186.2MiB allocated; 45ms collecting garbage

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	351
0	75	345
1	145	342
2	395	342
3	1306	342
4	5837	342
0	8169	295

Stop Event

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

Calls

Call 1

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

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

localize286.0ms (4%)

Memory

-5.1MiB live, 273.2MiB allocated; 78ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(.f64 (.f64 x x) p)
accuracy	1.1884189829365024	(/.f64 (+.f64 (/.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 (*.f64 x x) p)) p) (neg.f64 x))
accuracy	21.56965391515972	(/.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 (*.f64 x x) p))
accuracy	46.15231564229482	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 (*.f64 x x) p)) p) (neg.f64 x)))
accuracy	5.368674367580724	(/.f64 (*.f64 p p) x)
accuracy	5.851974720017231	(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	8.216342721987228	(fma.f64 #s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	46.28541132637308	#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 p p) x)) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 p p)
accuracy	0.9985691415237533	(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))
accuracy	5.368674367580724	(/.f64 (*.f64 p p) x)
accuracy	46.680518076313675	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
accuracy	40.796528662093266	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))
accuracy	0.00390625	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
accuracy	5.851974720017231	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))
accuracy	15.651121598460792	(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
accuracy	15.721728766318417	(fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64))

Samples

165.0ms	189×	0	valid
51.0ms	31×	2	valid
16.0ms	13×	3	valid
15.0ms	23×	1	valid

Compiler

Compiled 297 to 49 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 221.0ms

ival-mult: 113.0ms (51.2% of total)

ival-add: 47.0ms (21.3% of total)

ival-div: 25.0ms (11.3% of total)

adjust: 15.0ms (6.8% of total)

ival-sqrt: 15.0ms (6.8% of total)

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

ival-sub: 1.0ms (0.5% 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)

series36.0ms (0.5%)

Memory

25.8MiB live, 71.2MiB allocated; 6ms collecting garbage

Counts

19 → 190

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 x))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ x (* 2 (/ (pow p 2) x)))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole 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))))))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 1))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* -1 (/ (pow p 2) (pow x 3))) (* 1/2 (/ 1 x)))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* (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)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* (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))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))))
#s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ (* p p) x) #s(hole binary64 (/ (pow p 2) x)))
#s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) #s(hole binary64 -1))
#s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 1))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 p))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))))
#s(approx (/ (* -3/2 (pow p 4)) (* (* x x) p)) #s(hole binary64 (* -3/2 (/ (pow p 3) (pow x 2)))))
#s(approx (* p p) #s(hole binary64 (pow p 2)))
#s(approx (* (* x x) p) #s(hole binary64 (* p (pow x 2))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* 2 p)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole 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)))))))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole 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)))))))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole 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)))))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ 1/4 p)))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p)))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ (+ 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)))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ (+ 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)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))
#s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) #s(hole binary64 (* -1/2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) #s(hole binary64 (* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) #s(hole binary64 (* 2 (/ (pow p 2) (pow x 2)))))
#s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) #s(hole binary64 (* (pow p 2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (pow p 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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)))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole 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)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* 1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (* -3/2 (/ (pow p 3) (pow x 2)))))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* 3/2 (/ (pow p 3) (pow x 3)))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -2 p)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -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))))))))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (+ (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)))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (+ 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)))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ -1/4 p)))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -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))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -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))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (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)))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (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)))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 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)))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole 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))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -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))))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (* 1/4 (/ (pow x 2) p)) (* 2 p))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole 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)))))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole 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)))))))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole 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)))))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* (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)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))))
#s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) #s(hole binary64 (/ (+ (* -1/2 (pow p 2)) (pow x 2)) (pow x 2))))
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 x)))
#s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) #s(hole binary64 (/ (+ (* -1 (pow x 2)) (* 2 (pow p 2))) (pow x 2))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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)))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole 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)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* 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))))))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole 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)))))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole 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))))))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole 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))))))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x)))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x)))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ (+ 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)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole 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))))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 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))))))))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (+ p (* -3/2 (/ (pow p 3) (pow x 2))))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (* -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))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (* -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))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (/ (+ (* 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))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (/ (+ (* 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))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -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))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -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))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -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))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -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))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -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))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -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))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 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))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 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))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 -1))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole 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))))) 1)))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	((sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (- (* (/ 2 x) (/ (* p p) x)) 1) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) (/ (* -3/2 (pow p 4)) (* (* x x) p)) (* p p) (* (* x x) p))
7.0ms	p	@	-inf	((sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (- (* (/ 2 x) (/ (* p p) x)) 1) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) (/ (* -3/2 (pow p 4)) (* (* x x) p)) (* p p) (* (* x x) p))
5.0ms	p	@	inf	((sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (- (* (/ 2 x) (/ (* p p) x)) 1) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) (/ (* -3/2 (pow p 4)) (* (* x x) p)) (* p p) (* (* x x) p))
4.0ms	p	@	0	((sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (- (* (/ 2 x) (/ (* p p) x)) 1) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) (/ (* -3/2 (pow p 4)) (* (* x x) p)) (* p p) (* (* x x) p))
4.0ms	x	@	-inf	((sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (- (* (/ 2 x) (/ (* p p) x)) 1) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) (/ (* -3/2 (pow p 4)) (* (* x x) p)) (* p p) (* (* x x) p))

simplify186.0ms (2.6%)

Memory

-0.6MiB live, 226.2MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	903	7599
1	2626	7474
0	8165	6924

Stop Event

1×	iter limit
1×	node limit

Counts

190 → 190

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 x))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ x (* 2 (/ (pow p 2) x)))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole 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))))))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 1))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* -1 (/ (pow p 2) (pow x 3))) (* 1/2 (/ 1 x)))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* (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)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* (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))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))))
#s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ (* p p) x) #s(hole binary64 (/ (pow p 2) x)))
#s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) #s(hole binary64 -1))
#s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 1))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 p))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))))
#s(approx (/ (* -3/2 (pow p 4)) (* (* x x) p)) #s(hole binary64 (* -3/2 (/ (pow p 3) (pow x 2)))))
#s(approx (* p p) #s(hole binary64 (pow p 2)))
#s(approx (* (* x x) p) #s(hole binary64 (* p (pow x 2))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* 2 p)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole 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)))))))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole 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)))))))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole 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)))))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ 1/4 p)))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p)))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ (+ 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)))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ (+ 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)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))
#s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) #s(hole binary64 (* -1/2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) #s(hole binary64 (* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) #s(hole binary64 (* 2 (/ (pow p 2) (pow x 2)))))
#s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) #s(hole binary64 (* (pow p 2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (pow p 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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)))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole 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)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* 1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (* -3/2 (/ (pow p 3) (pow x 2)))))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* 3/2 (/ (pow p 3) (pow x 3)))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -2 p)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -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))))))))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (+ (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)))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (+ 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)))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ -1/4 p)))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -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))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -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))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))))
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#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -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))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -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))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 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))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 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))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 -1))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole 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))))) 1)))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))))

Outputs
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 x))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) x)
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ x (* 2 (/ (pow p 2) x)))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) (.f64 p p) x))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 2 binary64) x)) (.f64 p p) x))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 11/8 binary64) (.f64 p p)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2)) #s(hole 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))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) #s(literal -69/16 binary64) (/.f64 #s(literal 11/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64)))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 1))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(literal 1 binary64))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (neg.f64 (fma.f64 (/.f64 p x) (/.f64 p x) #s(literal -1 binary64))))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 p p)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 p p) #s(literal 1 binary64)))
#s(approx (+ (* x (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x))))) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (fma.f64 (-.f64 (.f64 (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 p p)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64)))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* -1 (/ (pow p 2) (pow x 3))) (* 1/2 (/ 1 x)))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 p p) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x)))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 p p)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 p p) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* (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)))))
#s(approx (/ 1/2 (sqrt (+ (* (* p p) 4) (* x x)))) (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 x #s(literal 7 binary64))) #s(literal -10 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 p p)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (.f64 (neg.f64 p) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* (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))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p p)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 p p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 x x)) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p p)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 p p) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 p p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
#s(approx (/ (* p p) x) #s(hole binary64 (/ (pow p 2) x)))
#s(approx (/ (* p p) x) (/.f64 (*.f64 p p) x))
#s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) #s(hole binary64 -1))
#s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) #s(literal -1 binary64))
#s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (- (* (/ 2 x) (/ (* p p) x)) 1) (-.f64 (/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 1))
#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(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 11/8 binary64) (.f64 p p)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) #s(literal -69/16 binary64) (/.f64 #s(literal 11/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64)))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(literal 1 binary64))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (neg.f64 (fma.f64 (/.f64 p x) (/.f64 p x) #s(literal -1 binary64))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 p p)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 p p) #s(literal 1 binary64)))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (fma.f64 (-.f64 (.f64 (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 p p)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 1))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(literal 1 binary64))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 6 binary64) (.f64 p p)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 p p) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -20 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64)))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 p))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) p)
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) p))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) (/.f64 p (neg.f64 x)))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) (.f64 (-.f64 (/.f64 (.f64 #s(literal 3/2 binary64) (*.f64 p p)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) p))
#s(approx (/ (* -3/2 (pow p 4)) (* (* x x) p)) #s(hole binary64 (* -3/2 (/ (pow p 3) (pow x 2)))))
#s(approx (/ (* -3/2 (pow p 4)) (* (* x x) p)) (*.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) x) (/.f64 #s(literal -3/2 binary64) x)))
#s(approx (* p p) #s(hole binary64 (pow p 2)))
#s(approx (* p p) (*.f64 p p))
#s(approx (* (* x x) p) #s(hole binary64 (* p (pow x 2))))
#s(approx (* (* x x) p) (.f64 (.f64 x x) p))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* 2 p)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (*.f64 #s(literal 2 binary64) p))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))))
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#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 (.f64 p p) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 p p)))) (.f64 (pow.f64 x #s(literal 4 binary64)) p)) (/.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 (.f64 p p) #s(literal 2 binary64)))) (.f64 p p)) #s(literal 2 binary64) (fma.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64)))) #s(literal 1/4 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) (/.f64 (fma.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 (.f64 p p) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 p p)))) p)))) (.f64 (pow.f64 x #s(literal 6 binary64)) p))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p)) (neg.f64 x)))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (*.f64 (/.f64 p x) (/.f64 p x)))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) (.f64 p p)) (*.f64 x x)))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 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))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x) (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 (.f64 p p) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (.f64 x x)))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 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))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 (.f64 p p) #s(literal 2 binary64)))) (.f64 p p)) #s(literal 2 binary64) (fma.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x) (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 (.f64 p p) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p))) (.f64 x x)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 -1))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(literal -1 binary64))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (-.f64 (/.f64 (.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)) x) #s(literal 1 binary64))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole 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))))) 1)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (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 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 (.f64 p p) #s(literal 2 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) (/.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) x) (/.f64 #s(literal -3/2 binary64) x) p) (neg.f64 x)))

rewrite112.0ms (1.5%)

Memory

-26.7MiB live, 117.8MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	286
0	75	280
1	295	277
0	2121	270

Stop Event

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

Counts

19 → 236

Calls

Call 1

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

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

eval84.0ms (1.2%)

Memory: 26.2MiB live, 124.1MiB allocated; 12ms collecting garbage
Compiler: Compiled 15 540 to 1 995 computations (87.2% saved)

prune14.0ms (0.2%)

Memory

-3.6MiB live, 42.9MiB allocated; 2ms collecting garbage

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	421	4	425
Fresh	2	3	5
Picked	3	2	5
Done	0	2	2
Total	426	11	437

Accuracy

100.0%

Counts

437 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.0%	(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	7.1%	(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)))
✓	75.2%	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))
✓	50.0%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
	11.1%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))))
✓	53.9%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
▶	28.0%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (/.f64 p (neg.f64 x)))
▶	27.0%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))
	19.2%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) p (/.f64 (.f64 (.f64 #s(literal -3 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) p) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 x)))
▶	27.9%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 #s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) p)) (neg.f64 x)))
✓	36.3%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))

Compiler

Compiled 573 to 406 computations (29.1% saved)

simplify232.0ms (3.2%)

Memory

16.0MiB live, 292.4MiB allocated; 24ms collecting garbage

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	439
0	79	439
1	165	439
2	531	439
3	2486	439
0	8919	423

Stop Event

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

Calls

Call 1

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

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

localize237.0ms (3.3%)

Memory

37.7MiB live, 395.4MiB allocated; 81ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.9807782854982809	(fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))
accuracy	1.1884189829365024	(/.f64 #s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) p)) (neg.f64 x))
accuracy	5.368674367580724	(/.f64 (*.f64 p p) x)
accuracy	46.15231564229482	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 #s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) p)) (neg.f64 x)))
accuracy	5.851974720017231	(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	8.216342721987228	(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	8.681478772618078	(/.f64 (.f64 p p) (.f64 x x))
accuracy	46.28541132637308	#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	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 p p)
accuracy	8.681478772618078	(/.f64 (.f64 p p) (.f64 x x))
accuracy	46.680518076313675	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))
accuracy	0.0	(/.f64 p (neg.f64 x))
accuracy	0.0	(neg.f64 x)
accuracy	46.10523486886647	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (/.f64 p (neg.f64 x)))
accuracy	5.368674367580724	(/.f64 (*.f64 p p) x)
accuracy	5.851974720017231	(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	8.216342721987228	(fma.f64 (/.f64 x #s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	46.464138117430544	#s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))

Samples

129.0ms	189×	0	valid
41.0ms	31×	2	valid
16.0ms	13×	3	valid
16.0ms	23×	1	valid

Compiler

Compiled 309 to 49 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-mult: 96.0ms (54.8% of total)

ival-div: 33.0ms (18.8% of total)

adjust: 15.0ms (8.6% of total)

ival-add: 15.0ms (8.6% of total)

ival-sqrt: 10.0ms (5.7% of total)

ival-pow: 3.0ms (1.7% of total)

ival-neg: 3.0ms (1.7% of total)

exact: 1.0ms (0.6% of total)

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

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

series59.0ms (0.8%)

Memory

-34.5MiB live, 72.3MiB allocated; 40ms collecting garbage

Counts

22 → 143

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 1))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* 2 (/ (pow p 2) x)))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))))
#s(approx (/ p (neg x)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* (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))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))))
#s(approx (+ (* -1/2 (/ (* p p) (* x x))) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (/ (* p p) (* x x))) 1) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ (* p p) (* x x)) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* p p) #s(hole binary64 (pow p 2)))
#s(approx (+ (* 2 (/ (* p p) (* x x))) -1) #s(hole binary64 -1))
#s(approx (+ (* 2 (/ (* p p) (* x x))) -1) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 p))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))))
#s(approx (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) #s(hole binary64 p))
#s(approx (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) #s(hole binary64 (* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))))
#s(approx (/ (* p p) x) #s(hole binary64 (/ (pow p 2) x)))
#s(approx (+ (* (/ -3/2 x) (/ (* p p) x)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ -3/2 x) (/ (* p p) x)) 1) #s(hole binary64 (+ 1 (* -3/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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)))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole 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)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* 1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* 2 p)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole 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)))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))
#s(approx (+ (* -1/2 (/ (* p p) (* x x))) 1) #s(hole binary64 (* -1/2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ (* -1/2 (/ (* p p) (* x x))) 1) #s(hole binary64 (* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* 2 (/ (* p p) (* x x))) -1) #s(hole binary64 (* 2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ (* 2 (/ (* p p) (* x x))) -1) #s(hole binary64 (* (pow p 2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (pow p 2))))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* 3/2 (/ (pow p 3) (pow x 3)))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (* -3/2 (/ (pow p 3) (pow x 2)))))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) #s(hole binary64 (* -3/2 (/ (pow p 3) (pow x 2)))))
#s(approx (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) #s(hole binary64 (* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ -3/2 x) (/ (* p p) x)) 1) #s(hole binary64 (* -3/2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ (* (/ -3/2 x) (/ (* p p) x)) 1) #s(hole binary64 (* (pow p 2) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (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)))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 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)))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole 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))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -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))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -2 p)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -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))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (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)))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))))
#s(approx (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) #s(hole binary64 (* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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)))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole 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)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* 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))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ (* 1/4 (/ (pow x 2) p)) (* 2 p))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole 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)))))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))))
#s(approx (+ (* -1/2 (/ (* p p) (* x x))) 1) #s(hole binary64 (/ (+ (* -1/2 (pow p 2)) (pow x 2)) (pow x 2))))
#s(approx (+ (* 2 (/ (* p p) (* x x))) -1) #s(hole binary64 (/ (+ (* -1 (pow x 2)) (* 2 (pow p 2))) (pow x 2))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))))
#s(approx (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) #s(hole binary64 (/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (/ -3/2 x) (/ (* p p) x)) 1) #s(hole binary64 (/ (+ (* -3/2 (pow p 2)) (pow x 2)) (pow x 2))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole 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))))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 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))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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)))))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (+ p (* -3/2 (/ (pow p 3) (pow x 2))))))
#s(approx (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) #s(hole binary64 (+ p (* -3/2 (/ (pow p 3) (pow x 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -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))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -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))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 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))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 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))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 -1))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole 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))))) 1)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -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))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -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))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -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))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))))

Calls

6 calls:

Time	Variable		Point	Expression
33.0ms	p	@	0	((sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (/ p (neg x)) (neg x) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ (* -1/2 (/ (* p p) (* x x))) 1) (/ (* p p) (* x x)) (* p p) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (+ (* 2 (/ (* p p) (* x x))) -1) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) (/ (* p p) x) (* x x) (+ (* (/ -3/2 x) (/ (* p p) x)) 1))
7.0ms	x	@	-inf	((sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (/ p (neg x)) (neg x) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ (* -1/2 (/ (* p p) (* x x))) 1) (/ (* p p) (* x x)) (* p p) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (+ (* 2 (/ (* p p) (* x x))) -1) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) (/ (* p p) x) (* x x) (+ (* (/ -3/2 x) (/ (* p p) x)) 1))
4.0ms	p	@	inf	((sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (/ p (neg x)) (neg x) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ (* -1/2 (/ (* p p) (* x x))) 1) (/ (* p p) (* x x)) (* p p) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (+ (* 2 (/ (* p p) (* x x))) -1) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) (/ (* p p) x) (* x x) (+ (* (/ -3/2 x) (/ (* p p) x)) 1))
4.0ms	p	@	-inf	((sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (/ p (neg x)) (neg x) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ (* -1/2 (/ (* p p) (* x x))) 1) (/ (* p p) (* x x)) (* p p) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (+ (* 2 (/ (* p p) (* x x))) -1) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) (/ (* p p) x) (* x x) (+ (* (/ -3/2 x) (/ (* p p) x)) 1))
3.0ms	x	@	inf	((sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (/ p (neg x)) (neg x) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ (* -1/2 (/ (* p p) (* x x))) 1) (/ (* p p) (* x x)) (* p p) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (+ (* 2 (/ (* p p) (* x x))) -1) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) (/ (* p p) x) (* x x) (+ (* (/ -3/2 x) (/ (* p p) x)) 1))

simplify199.0ms (2.8%)

Memory

10.8MiB live, 339.0MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	803	5342
1	2407	5230
0	8875	4854

Stop Event

1×	iter limit
1×	node limit

Counts

143 → 143

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 1))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* 2 (/ (pow p 2) x)))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))))
#s(approx (/ p (neg x)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* (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))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))))
#s(approx (+ (* -1/2 (/ (* p p) (* x x))) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (/ (* p p) (* x x))) 1) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ (* p p) (* x x)) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* p p) #s(hole binary64 (pow p 2)))
#s(approx (+ (* 2 (/ (* p p) (* x x))) -1) #s(hole binary64 -1))
#s(approx (+ (* 2 (/ (* p p) (* x x))) -1) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 p))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))))
#s(approx (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) #s(hole binary64 p))
#s(approx (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) #s(hole binary64 (* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))))
#s(approx (/ (* p p) x) #s(hole binary64 (/ (pow p 2) x)))
#s(approx (+ (* (/ -3/2 x) (/ (* p p) x)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ -3/2 x) (/ (* p p) x)) 1) #s(hole binary64 (+ 1 (* -3/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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)))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole 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)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* 1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* 2 p)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole 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)))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))
#s(approx (+ (* -1/2 (/ (* p p) (* x x))) 1) #s(hole binary64 (* -1/2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ (* -1/2 (/ (* p p) (* x x))) 1) #s(hole binary64 (* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* 2 (/ (* p p) (* x x))) -1) #s(hole binary64 (* 2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ (* 2 (/ (* p p) (* x x))) -1) #s(hole binary64 (* (pow p 2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (pow p 2))))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* 3/2 (/ (pow p 3) (pow x 3)))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x))))))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (* -3/2 (/ (pow p 3) (pow x 2)))))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) #s(hole binary64 (* -3/2 (/ (pow p 3) (pow x 2)))))
#s(approx (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) #s(hole binary64 (* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ -3/2 x) (/ (* p p) x)) 1) #s(hole binary64 (* -3/2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ (* (/ -3/2 x) (/ (* p p) x)) 1) #s(hole binary64 (* (pow p 2) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (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)))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 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)))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole 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))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -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))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -2 p)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -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))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (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)))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3))))))))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))))
#s(approx (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) #s(hole binary64 (* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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)))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole 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)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* 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))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ (* 1/4 (/ (pow x 2) p)) (* 2 p))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole 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)))))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))))
#s(approx (+ (* -1/2 (/ (* p p) (* x x))) 1) #s(hole binary64 (/ (+ (* -1/2 (pow p 2)) (pow x 2)) (pow x 2))))
#s(approx (+ (* 2 (/ (* p p) (* x x))) -1) #s(hole binary64 (/ (+ (* -1 (pow x 2)) (* 2 (pow p 2))) (pow x 2))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3))))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))))
#s(approx (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) #s(hole binary64 (/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (/ -3/2 x) (/ (* p p) x)) 1) #s(hole binary64 (/ (+ (* -3/2 (pow p 2)) (pow x 2)) (pow x 2))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole 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))))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 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))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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)))))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x)))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (+ p (* -3/2 (/ (pow p 3) (pow x 2))))))
#s(approx (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) #s(hole binary64 (+ p (* -3/2 (/ (pow p 3) (pow x 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -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))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -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))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 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))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 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))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 -1))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole 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))))) 1)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -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))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -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))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -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))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x))))

Outputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (* 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)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 p x)) (/.f64 p x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 11/8 binary64) (.f64 p p)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 p p) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole 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))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) #s(literal -69/16 binary64) (/.f64 #s(literal 11/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64)))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(literal 1 binary64))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (neg.f64 (fma.f64 (/.f64 p x) (/.f64 p x) #s(literal -1 binary64))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 p p)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 p p) #s(literal 1 binary64)))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (fma.f64 (-.f64 (.f64 (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 p p)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 1))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(literal 1 binary64))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 p x)) (/.f64 p x) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 6 binary64) (.f64 p p)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 p p) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -20 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 p p)) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) x)
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* 2 (/ (pow p 2) x)))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) (.f64 p p) x))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 p p) (/.f64 #s(literal 2 binary64) x)) (.f64 p p) x))
#s(approx (/ p (neg x)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (/ p (neg x)) (/.f64 p (neg.f64 x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (.f64 (neg.f64 p) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* (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))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 p p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole 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))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 x x)) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 p p) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 p p) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (+ (* -1/2 (/ (* p p) (* x x))) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (/ (* p p) (* x x))) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/2 (/ (* p p) (* x x))) 1) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (* -1/2 (/ (* p p) (* x x))) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 p x)) (/.f64 p x) #s(literal 1 binary64)))
#s(approx (/ (* p p) (* x x)) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (/ (* p p) (* x x)) (*.f64 (/.f64 p x) (/.f64 p x)))
#s(approx (* p p) #s(hole binary64 (pow p 2)))
#s(approx (* p p) (*.f64 p p))
#s(approx (+ (* 2 (/ (* p p) (* x x))) -1) #s(hole binary64 -1))
#s(approx (+ (* 2 (/ (* p p) (* x x))) -1) #s(literal -1 binary64))
#s(approx (+ (* 2 (/ (* p p) (* x x))) -1) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (+ (* 2 (/ (* p p) (* x x))) -1) (-.f64 (/.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) (/.f64 p (neg.f64 x)))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) #s(hole binary64 (* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x)))))
#s(approx (/ (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (neg x)) (.f64 (-.f64 (/.f64 (.f64 #s(literal 3/2 binary64) (*.f64 p p)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) p))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 p))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) p)
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) #s(hole binary64 (* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))))
#s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) p))
#s(approx (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) #s(hole binary64 p))
#s(approx (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) p)
#s(approx (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) #s(hole binary64 (* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2)))))))
#s(approx (* (+ (* (/ -3/2 x) (/ (* p p) x)) 1) p) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) p))
#s(approx (/ (* p p) x) #s(hole binary64 (/ (pow p 2) x)))
#s(approx (/ (* p p) x) (/.f64 (*.f64 p p) x))
#s(approx (+ (* (/ -3/2 x) (/ (* p p) x)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ -3/2 x) (/ (* p p) x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ -3/2 x) (/ (* p p) x)) 1) #s(hole binary64 (+ 1 (* -3/2 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (* (/ -3/2 x) (/ (* p p) x)) 1) (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))))
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rewrite108.0ms (1.5%)

Memory

13.4MiB live, 147.3MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	383
0	79	383
1	332	364
0	2576	343

Stop Event

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

Counts

22 → 246

Calls

Call 1

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

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

eval103.0ms (1.4%)

Memory: 8.9MiB live, 166.9MiB allocated; 51ms collecting garbage
Compiler: Compiled 18 609 to 2 228 computations (88% saved)

prune26.0ms (0.4%)

Memory

-33.2MiB live, 64.7MiB allocated; 11ms collecting garbage

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	478	0	478
Fresh	0	2	2
Picked	0	5	5
Done	0	4	4
Total	478	11	489

Accuracy

100.0%

Counts

489 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.0%	(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	7.1%	(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)))
✓	75.2%	(sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))
✓	50.0%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
	11.1%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (fma.f64 p p (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))))
✓	53.9%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
✓	28.0%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (/.f64 p (neg.f64 x)))
✓	27.0%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))
	19.2%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) p (/.f64 (.f64 (.f64 #s(literal -3 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) p) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 x)))
✓	27.9%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 #s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) p)) (neg.f64 x)))
✓	36.3%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))

Compiler

Compiled 1 233 to 448 computations (63.7% saved)

regimes55.0ms (0.8%)

Memory

30.7MiB live, 121.9MiB allocated; 7ms collecting garbage

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

11.0ms	p
8.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
8.0ms	x
7.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
6.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))

Results

Accuracy	Segments	Branch
77.8%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
100.0%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
100.0%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
100.0%	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))))))`
100.0%	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)))))))`
81.9%	3	`p`
80.1%	2	`x`

Compiler

Compiled 66 to 56 computations (15.2% saved)

regimes19.0ms (0.3%)

Memory

-3.8MiB live, 41.4MiB allocated; 5ms collecting garbage

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

7.0ms	(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 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
98.7%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
98.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.7%	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))))))`
98.7%	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)))))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes63.0ms (0.9%)

Memory

-16.6MiB live, 33.1MiB allocated; 12ms collecting garbage

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

52.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
3.0ms	(/.f64 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 1/2 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
98.3%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
98.3%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.3%	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))))))`
98.3%	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)))))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes13.0ms (0.2%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Counts

13 → 3

Calls

Call 1

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

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

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

Calls

4 calls:

3.0ms	(/.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 1/2 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)))))

Results

Accuracy	Segments	Branch
99.2%	3	`(/.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 #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	`(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 59 to 47 computations (20.3% saved)

regimes37.0ms (0.5%)

Memory

-27.9MiB live, 17.5MiB allocated; 4ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

Outputs

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

Calls

4 calls:

31.0ms	(/.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))))))
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
98.3%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
98.3%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.3%	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))))))`
98.3%	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)))))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes8.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

Outputs

#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.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 (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #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
98.3%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
98.3%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.3%	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))))))`
98.3%	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)))))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes10.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

Calls

7 calls:

2.0ms	p
1.0ms	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)))))))
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))))

Results

Accuracy	Segments	Branch
67.7%	2	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
59.7%	2	`x`
67.7%	2	`p`
73.9%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
73.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
73.9%	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))))))`
73.9%	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)))))))`

Compiler

Compiled 66 to 56 computations (15.2% saved)

regimes13.0ms (0.2%)

Memory

-29.0MiB live, 16.6MiB allocated; 4ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

7.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
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)))))))
1.0ms	x
1.0ms	p
1.0ms	(.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
36.3%	1	`x`
36.3%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
36.3%	1	`p`
36.3%	1	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
36.3%	1	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
36.3%	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))))))`
36.3%	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)))))))`

Compiler

Compiled 66 to 56 computations (15.2% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00015305782938527168	0.7070998655047829

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00015305782938527168	0.7070998655047829

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00015305782938527168	0.7070998655047829

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7079499565841662	0.9985854248496965
0.0ms	0.00015305782938527168	0.7070998655047829

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7079499565841662	0.9985854248496965
0.0ms	0.00015305782938527168	0.7070998655047829

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7079499565841662	0.9985854248496965
0.0ms	0.00015305782938527168	0.7070998655047829

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch4.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.7079499565841662	0.9985854248496965

Samples

1.0ms

64×

valid

Compiler

Compiled 172 to 155 computations (9.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

adjust: 0.0ms (0% of total)

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

simplify44.0ms (0.6%)

Memory

6.5MiB live, 49.9MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	641
1	129	641
2	263	641
3	657	641
4	1975	641

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.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))))))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 #s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) p)) (neg.f64 x))) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64))))
(if (<=.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))))))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 #s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) p)) (neg.f64 x))) (sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.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))))))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 p (neg.f64 x))) (sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.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))))))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 p (neg.f64 x))) (if (<=.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))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))))
(if (<=.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))))))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 p (neg.f64 x))) (if (<=.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))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))))
(if (<=.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))))))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 p (neg.f64 x))) (if (<=.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))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))))
(if (<=.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))))))) #s(literal 7746191359077253/9007199254740992 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))

Outputs
(if (<=.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))))))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 #s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) p)) (neg.f64 x))) (sqrt.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64))))
(if (<=.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))))))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 #s(approx (+ (/ (* -3/2 (pow p 4)) (* (* x x) p)) p) (.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (.f64 p p) x) #s(literal 1 binary64)) p)) (neg.f64 x))) (sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.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))))))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 p (neg.f64 x))) (sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.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))))))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 p (neg.f64 x))) (if (<=.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))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))))
(if (<=.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))))))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 p (neg.f64 x))) (if (<=.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))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))))
(if (<=.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))))))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 p (neg.f64 x))) (if (<=.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))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))))
(if (<=.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))))))) #s(literal 7746191359077253/9007199254740992 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))

derivations425.0ms (5.9%)

Memory

-24.7MiB live, 318.5MiB allocated; 148ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 641 to 87 computations (86.4% saved)

preprocess57.0ms (0.8%)

Memory: 14.6MiB live, 111.5MiB allocated; 19ms collecting garbage
Compiler: Compiled 1 508 to 326 computations (78.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze524.0ms (7.2%)

sample2.3s (31.5%)

explain264.0ms (3.6%)

preprocess206.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify186.0ms (2.6%)

localize61.0ms (0.8%)

series31.0ms (0.4%)

simplify228.0ms (3.2%)

rewrite73.0ms (1%)

eval37.0ms (0.5%)

prune12.0ms (0.2%)

simplify124.0ms (1.7%)

localize220.0ms (3%)

series55.0ms (0.8%)

simplify180.0ms (2.5%)

rewrite75.0ms (1%)

eval41.0ms (0.6%)

prune12.0ms (0.2%)

simplify191.0ms (2.6%)

localize286.0ms (4%)

series36.0ms (0.5%)

simplify186.0ms (2.6%)

rewrite112.0ms (1.5%)

eval84.0ms (1.2%)

prune14.0ms (0.2%)

simplify232.0ms (3.2%)

localize237.0ms (3.3%)

series59.0ms (0.8%)

simplify199.0ms (2.8%)

rewrite108.0ms (1.5%)

eval103.0ms (1.4%)

prune26.0ms (0.4%)

regimes55.0ms (0.8%)

regimes19.0ms (0.3%)

regimes63.0ms (0.9%)

regimes13.0ms (0.2%)

regimes37.0ms (0.5%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes13.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch4.0ms (0.1%)

simplify44.0ms (0.6%)

derivations425.0ms (5.9%)

preprocess57.0ms (0.8%)

end0.0ms (0%)

Profiling