Metrics for Given's Rotation SVD example

start0.0ms (0%)

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

analyze362.0ms (8.7%)

Memory

-21.7MiB live, 501.4MiB allocated; 166ms 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)

sample1.4s (33.3%)

Memory

44.9MiB live, 2 063.0MiB allocated; 328ms collecting garbage

Samples

487.0ms	6 137×	0	valid
284.0ms	1 062×	2	valid
127.0ms	442×	3	valid
84.0ms	615×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 752.0ms

ival-mult!: 237.0ms (31.5% of total)

ival-sqrt: 206.0ms (27.4% of total)

ival-div!: 117.0ms (15.5% of total)

adjust: 103.0ms (13.7% of total)

ival-add!: 84.0ms (11.2% of total)

ival-fabs: 3.0ms (0.4% of total)

ival-<: 2.0ms (0.3% of total)

ival-and: 1.0ms (0.1% of total)

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

Bogosity

explain227.0ms (5.5%)

Memory

10.2MiB live, 338.4MiB allocated; 25ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
69	-	0	-	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`
39	-	0	-	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
28	-	1	(-1.8975532273303502e-109 -3.100704515557156e+50)	`(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	-	`(.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	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`p`
0	-	0	-	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`
0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
0	-	0	-	`#s(literal 1/2 binary64)`
0	-	0	-	`(*.f64 #s(literal 4 binary64) p)`
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	69	0
↳	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`	overflow	69
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	overflow	69
`+.f64`	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	cancellation	39	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	27	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	32
↳	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	underflow	32
↳	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`	underflow	16
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	underflow	57

Confusion

	Predicted +	Predicted -
+	66	0
-	69	121

Precision

0.4888888888888889

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	66	0	0
-	69	0	121

Precision?

0.4888888888888889

Recall?

1.0

Freqs

test

number	freq
0	121
1	135

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms	370×	0	valid
20.0ms	74×	2	valid
7.0ms	22×	3	valid
7.0ms	46×	1	valid

Compiler

Compiled 209 to 46 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult!: 15.0ms (34.6% of total)

ival-sqrt: 12.0ms (27.7% of total)

adjust: 8.0ms (18.5% of total)

ival-add!: 4.0ms (9.2% of total)

ival-div!: 4.0ms (9.2% of total)

preprocess81.0ms (1.9%)

Memory

-39.3MiB live, 14.6MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	106
1	107	104
2	278	104
3	649	104
4	1876	104
5	7554	104

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.2%	(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)))))))

Symmetry

(abs p)

Compiler

Compiled 34 to 28 computations (17.6% saved)

series28.0ms (0.7%)

Memory

8.8MiB live, 54.5MiB allocated; 4ms collecting garbage

Counts

14 → 110

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
#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 (+ 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 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 (+ (* (* 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 (* (* 4 p) p) #s(hole binary64 (* 4 (pow p 2))))
#s(approx (* 4 p) #s(hole binary64 (* 4 p)))
#s(approx p #s(hole binary64 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 (+ 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 (* 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 (+ (* (* 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) (* -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 (+ 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 (* -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 (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 (/ 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 x #s(hole binary64 x))
#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 (* x x) #s(hole binary64 (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 (* 1/2 (+ 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 (+ 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 (* 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 (+ (* (* 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 (/ (* 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))))
#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)))
#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))))))))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 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))) (+ (* (* 4 p) p) (* x x)) (* (* 4 p) p) (* 4 p) 4 p (* x x))
4.0ms	p	@	0	((sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 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))) (+ (* (* 4 p) p) (* x x)) (* (* 4 p) p) (* 4 p) 4 p (* x x))
4.0ms	p	@	inf	((sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 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))) (+ (* (* 4 p) p) (* x x)) (* (* 4 p) p) (* 4 p) 4 p (* x x))
4.0ms	x	@	inf	((sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 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))) (+ (* (* 4 p) p) (* x x)) (* (* 4 p) p) (* 4 p) 4 p (* x x))
4.0ms	x	@	0	((sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 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))) (+ (* (* 4 p) p) (* x x)) (* (* 4 p) p) (* 4 p) 4 p (* x x))

rewrite196.0ms (4.7%)

Memory

31.3MiB live, 307.8MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	600	4759
0	616	4238
1	3664	4214
0	8698	3946

Stop Event

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

Counts

124 → 184

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)
#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 (+ 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 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 (+ (* (* 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 (* (* 4 p) p) #s(hole binary64 (* 4 (pow p 2))))
#s(approx (* 4 p) #s(hole binary64 (* 4 p)))
#s(approx p #s(hole binary64 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 (+ 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 (* 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 (+ (* (* 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) (* -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 (+ 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 (* -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 (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 (/ 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 x #s(hole binary64 x))
#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 (* x x) #s(hole binary64 (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 (* 1/2 (+ 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 (+ 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 (* 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 (+ (* (* 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 (/ (* 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))))
#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)))
#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))))))))))

Outputs
(.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 (.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)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.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 1/2 binary64))) #s(literal 1 binary64))
(pow.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 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.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 1/2 binary64)) #s(literal -1/2 binary64)))
(sqrt.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 1/2 binary64)))
(exp.f64 (.f64 (log.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 1/2 binary64))) #s(literal 1/2 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 1/2 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 1/2 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))))))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) (.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) (.f64 #s(literal 2 binary64) (neg.f64 x))) (.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))))
(/.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 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64))) (+.f64 #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 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)))))
#s(literal 1 binary64)
(/.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))))
x
(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 (-.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) (*.f64 x x))))
(/.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 (+.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 x x))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)) #s(literal -1/2 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 (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 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 x x)))))
(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 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 p #s(literal 4 binary64)) p))
(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 (.f64 p p) #s(literal 4 binary64) (.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 x x))
(fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(-.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) (*.f64 (neg.f64 x) x))
(+.f64 (.f64 x x) (.f64 (*.f64 p #s(literal 4 binary64)) p))
(+.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) (*.f64 x x))
(.f64 (.f64 p p) #s(literal 4 binary64))
(.f64 (.f64 p #s(literal 4 binary64)) p)
(.f64 p (.f64 p #s(literal 4 binary64)))
(.f64 #s(literal 4 binary64) (.f64 p p))
(*.f64 p #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) p)
#s(literal 4 binary64)
p
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#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 p #s(literal 3 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p)) x))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (.f64 (fma.f64 (fma.f64 #s(literal 3/256 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 5 binary64))) (.f64 #s(literal -1/16 binary64) (pow.f64 p #s(literal -3 binary64)))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) p)) x))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 p #s(literal -5 binary64)) #s(literal 3/256 binary64) (/.f64 (.f64 #s(literal -5/2048 binary64) (.f64 x x)) (pow.f64 p #s(literal 7 binary64)))) (.f64 x x) (.f64 #s(literal -1/16 binary64) (pow.f64 p #s(literal -3 binary64)))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) p)) x))
#s(approx x x)
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (/.f64 (.f64 x x) p) #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) p)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 p #s(literal 3 binary64))) #s(literal -1/64 binary64) (/.f64 #s(literal 1/4 binary64) p)) (.f64 x x) (*.f64 #s(literal 2 binary64) p)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 p #s(literal 5 binary64))) #s(literal 1/512 binary64) (.f64 #s(literal -1/64 binary64) (pow.f64 p #s(literal -3 binary64)))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) p)) (.f64 x x) (*.f64 #s(literal 2 binary64) p)))
#s(approx (* x x) (*.f64 x x))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 2 binary64))) (.f64 p p)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/4 binary64) (neg.f64 (/.f64 (.f64 p p) (*.f64 x x)))) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 (fma.f64 #s(literal -1/4 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 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (/.f64 (.f64 p p) (*.f64 x x)))) #s(literal 1 binary64)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 x x)) (.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 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))) #s(literal 2 binary64)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 x x)) (.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 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (.f64 (fma.f64 (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x))) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1 binary64)) x))
#s(approx (+ (* (* 4 p) p) (* x x)) (.f64 (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (*.f64 p (pow.f64 x #s(literal -1 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/4 binary64) (*.f64 p #s(literal 1 binary64))) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/4 binary64) (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 144 binary64)) (.f64 (.f64 p p) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 p #s(literal 1 binary64)))) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/4 binary64) (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (fma.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 144 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p p)) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 144 binary64)) (.f64 (.f64 p p) #s(literal 2 binary64))))) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 144 binary64)) (.f64 (.f64 p p) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 p #s(literal 1 binary64))))) x)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (.f64 p p)) (.f64 x x)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p))) (.f64 x x)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 144 binary64)) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p)))) (.f64 x x)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (.f64 (.f64 p p) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 p p) #s(literal 2 binary64)))) (*.f64 x x)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 144 binary64)) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 p p) #s(literal 2 binary64))))) (*.f64 x x)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (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 p p) #s(literal 2 binary64)) (.f64 x x)) #s(literal 1 binary64))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (-.f64 (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) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (neg.f64 x))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1 binary64))))

eval90.0ms (2.2%)

Memory: -19.7MiB live, 47.5MiB allocated; 94ms collecting garbage
Compiler: Compiled 5 833 to 1 141 computations (80.4% saved)

prune20.0ms (0.5%)

Memory

-26.2MiB live, 26.2MiB allocated; 10ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	165	15	180
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	166	15	181

Accuracy

93.3%

Counts

181 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.2%	(sqrt.f64 (+.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))))
▶	49.2%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64)))))
	76.1%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)) #s(literal -1/2 binary64)))))))
▶	76.2%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 #s(approx (+ ( (* 4 p) p) (* x x)) (.f64 (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x))))))))
	72.1%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 (.f64 (log.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 1/2 binary64)))))))
	73.0%	(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 (*.f64 p p) x) #s(literal 2 binary64) x))))))
	6.2%	(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)))))
	51.9%	(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))))
▶	51.1%	(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))))
	17.9%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
	55.7%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
▶	23.6%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (.f64 (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
	28.8%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/4 binary64) (*.f64 p #s(literal 1 binary64))) x)))
	29.7%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (*.f64 p (pow.f64 x #s(literal -1 binary64)))))
▶	33.0%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))

Compiler

Compiled 736 to 552 computations (25% saved)

series57.0ms (1.4%)

Memory

11.6MiB live, 102.7MiB allocated; 6ms collecting garbage

Counts

36 → 270

Calls

Call 1

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

Outputs
#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 (+ 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 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 (+ (* (* 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 (* (+ (* (/ (* p p) (* x x)) 4) 1) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (/ (* p p) (* x x)) 4) 1) (* x x)) #s(hole binary64 (+ (* 4 (pow p 2)) (pow x 2))))
#s(approx (+ (* (/ (* p p) (* x x)) 4) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* p p) (* x x)) 4) 1) #s(hole binary64 (+ 1 (* 4 (/ (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 p #s(hole binary64 p))
#s(approx (+ (* -1/4 (/ x p)) 1/2) #s(hole binary64 (* -1/4 (/ x p))))
#s(approx (+ (* -1/4 (/ x p)) 1/2) #s(hole binary64 (/ (+ (* -1/4 x) (* 1/2 p)) p)))
#s(approx (/ x p) #s(hole binary64 (/ x p)))
#s(approx (+ (* (* (/ (* p p) (* x x)) 1/2) -1) 1) #s(hole binary64 1))
#s(approx (+ (* (* (/ (* p p) (* x x)) 1/2) -1) 1) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (* (/ (* p p) (* x x)) 1/2) #s(hole binary64 (* 1/2 (/ (pow p 2) (pow x 2)))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (pow 1 1/4)))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* 1/2 (* (pow p 2) (+ (* -2 (* (pow 1 1/4) (/ 1 (pow x 2)))) (* (pow 1 1/4) (/ 1 (pow x 2)))))) (pow 1 1/4))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* (pow p 2) (+ (* 1/2 (* (pow p 2) (+ (* -5/4 (* (pow 1 1/4) (/ 1 (pow x 4)))) (+ (* -1 (* (pow 1 1/4) (/ 1 (pow x 4)))) (* 5 (* (pow 1 1/4) (/ 1 (pow x 4)))))))) (* 1/2 (+ (* -2 (* (pow 1 1/4) (/ 1 (pow x 2)))) (* (pow 1 1/4) (/ 1 (pow x 2))))))) (pow 1 1/4))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* (pow p 2) (+ (* 1/2 (+ (* -2 (* (pow 1 1/4) (/ 1 (pow x 2)))) (* (pow 1 1/4) (/ 1 (pow x 2))))) (* (pow p 2) (+ (* 1/2 (* (pow p 2) (+ (* -15 (* (pow 1 1/4) (/ 1 (pow x 6)))) (+ (* 5/4 (* (pow 1 1/4) (/ 1 (pow x 6)))) (+ (* 5/2 (* (pow 1 1/4) (/ 1 (pow x 6)))) (* 21/8 (* (pow 1 1/4) (/ 1 (pow x 6))))))))) (* 1/2 (+ (* -5/4 (* (pow 1 1/4) (/ 1 (pow x 4)))) (+ (* -1 (* (pow 1 1/4) (/ 1 (pow x 4)))) (* 5 (* (pow 1 1/4) (/ 1 (pow x 4))))))))))) (pow 1 1/4))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 1))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 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 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 2))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 2 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #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 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* 4 x)))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ (* 4 x) (* 4 (/ (pow p 2) x)))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ (* 4 x) (* (pow p 2) (+ (* -4 (/ (pow p 2) (pow x 3))) (* 4 (/ 1 x)))))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ (* 4 x) (* (pow p 2) (+ (* (pow p 2) (- (* 8 (/ (pow p 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 4 (/ 1 x)))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* 2 x)))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (+ (* 2 x) (* 4 (/ (pow p 2) x)))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (+ (* 2 x) (* (pow p 2) (+ (* -4 (/ (pow p 2) (pow x 3))) (* 4 (/ 1 x)))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (+ (* 2 x) (* (pow p 2) (+ (* (pow p 2) (- (* 8 (/ (pow p 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 4 (/ 1 x)))))))
#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 (+ (* x x) (* (* p 4) p)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (* p 4) p)) #s(hole binary64 (+ (* 4 (pow p 2)) (pow x 2))))
#s(approx (* (* p 4) p) #s(hole binary64 (* 4 (pow p 2))))
#s(approx (* p 4) #s(hole binary64 (* 4 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 (+ 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 (* 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 (+ (* (* 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 (* (+ (* (/ (* p p) (* x x)) 4) 1) (* x x)) #s(hole binary64 (* 4 (pow p 2))))
#s(approx (* (+ (* (/ (* p p) (* x x)) 4) 1) (* x x)) #s(hole binary64 (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))))
#s(approx (+ (* (/ (* p p) (* x x)) 4) 1) #s(hole binary64 (* 4 (/ (pow p 2) (pow x 2)))))
#s(approx (+ (* (/ (* p p) (* x x)) 4) 1) #s(hole binary64 (* (pow p 2) (+ (/ 1 (pow p 2)) (* 4 (/ 1 (pow x 2)))))))
#s(approx (+ (* -1/4 (/ x p)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 (/ x p)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (+ (* (* (/ (* p p) (* x x)) 1/2) -1) 1) #s(hole binary64 (* -1/2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ (* (* (/ (* p p) (* x x)) 1/2) -1) 1) #s(hole binary64 (* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (* (sqrt p) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p)))))))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (* p (+ (* 1/2 (/ (+ (* -1/8 (* (sqrt (/ 1 p)) (* (pow x 2) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p))))))))) (* 1/2 (* (sqrt p) (* x (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p)))))))))) (pow p 2))) (* (sqrt (/ 1 p)) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p)))))))))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (* p (+ (* 1/16 (* (sqrt (/ 1 (pow p 5))) (* (pow x 2) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p))))))))) (+ (* 1/2 (/ (+ (* -1/8 (* (sqrt (/ 1 p)) (* (pow x 2) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p))))))))) (* 1/2 (* (sqrt p) (* x (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p)))))))))) (pow p 2))) (* (sqrt (/ 1 p)) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p))))))))))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (* p (+ (* 1/16 (* (sqrt (/ 1 (pow p 5))) (* (pow x 2) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p))))))))) (+ (* 1/2 (/ (+ (* -1/8 (* (sqrt (/ 1 p)) (* (pow x 2) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p))))))))) (* 1/2 (* (sqrt p) (* x (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p)))))))))) (pow p 2))) (+ (* 1/2 (/ (+ (* -1/16 (* (sqrt (pow p 3)) (* (pow x 2) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p))))))))) (+ (* -1/32 (* (sqrt p) (* (pow x 3) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p))))))))) (* 2 (* (sqrt (/ 1 p)) (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p)))))) (+ (* 1/512 (pow x 4)) (* 1/96 (+ (* -3/4 (pow x 4)) (* 3/2 (pow x 4)))))))))) (pow p 4))) (* (sqrt (/ 1 p)) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p)))))))))))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 1/2))
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#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 (* 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 (+ (* (* 4 p) p) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))))
#s(approx (* (+ (* (/ (* p p) (* x x)) 4) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))))
#s(approx (+ (* -1/4 (/ x p)) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) (* 1/4 (/ 1 p))))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 1))
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#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (* x (+ (* -1 (/ (pow p 2) (pow x 3))) (+ (* 1/2 (/ (pow p 2) (pow x 3))) (/ 1 x))))))
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#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ 1 (* 1/4 (/ (+ (* -8 (pow p 2)) (* 4 (pow p 2))) (pow x 2))))))
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#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 2 (+ (* 1/2 (/ (+ (* -8 (pow p 2)) (* 4 (pow p 2))) (pow x 2))) (* 1/2 (/ (+ (* -8 (pow p 4)) (+ (* -4 (pow p 4)) (* -2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (pow x 4)))))))
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#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* x (+ 4 (* 4 (/ (pow p 2) (pow x 2)))))))
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#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* x (+ 4 (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* 4 (/ (pow p 2) (pow x 2))) (* 8 (/ (pow p 6) (pow x 6)))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* x (+ 2 (* 4 (/ (pow p 2) (pow x 2)))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* x (+ 2 (+ (* -4 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 2) (pow x 2))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* x (+ 2 (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* 4 (/ (pow p 2) (pow x 2))) (* 8 (/ (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 (+ (* x x) (* (* p 4) p)) #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 (/ (* 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))))
#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)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 x)))
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#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* -1 (/ p x)) (/ (pow p 3) (pow x 3)))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* -1 (/ p x)) (+ (* 1/2 (/ (pow p 3) (pow x 3))) (/ (pow p 3) (pow x 3))))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* -1 (/ p x)) (+ (* -1 (/ (+ (* -1/2 (pow p 3)) (/ (* p (+ (* 1/96 (+ (* -192 (pow p 4)) (* 384 (pow p 4)))) (* 1/2 (pow p 4)))) (pow x 2))) (pow x 3))) (/ (pow p 3) (pow x 3))))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 16 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 8)) (+ (* -2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -1 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* 2 (* (pow p 4) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 16 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* 2 (/ (pow p 2) (pow x 2)))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))))
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#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -16 (pow p 8)) (+ (* -2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -1 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* 2 (* (pow p 4) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 16 (pow p 6))) (pow x 4))) (* 2 (pow p 2))))) (pow x 2))))
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#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* -1 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -1 (/ (+ (* 4 (pow p 8)) (* 16 (pow p 8))) (pow x 6))) (+ (* 4 (pow p 2)) (* 8 (/ (pow p 6) (pow x 4)))))) x))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -2 x)))
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#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (+ (* -4 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 2) (pow x 2)))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* 4 (/ (pow p 2) (pow x 2))) (* 8 (/ (pow p 6) (pow x 6))))))))))
#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))))))))))

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	((sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 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))) (+ (* (* 4 p) p) (* x x)) (* (+ (* (/ (* p p) (* x x)) 4) 1) (* x x)) (+ (* (/ (* p p) (* x x)) 4) 1) (/ (* p p) (* x x)) (* p p) p (* x x) 4 (sqrt (* 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)))))) (+ (* -1/4 (/ x p)) 1/2) -1/4 (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ (* (* (/ (* p p) (* x x)) 1/2) -1) 1) (* (/ (* p p) (* x x)) 1/2) -1 (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) 2 (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)) (* (* p 4) p) (* p 4))
9.0ms	p	@	0	((sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 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))) (+ (* (* 4 p) p) (* x x)) (* (+ (* (/ (* p p) (* x x)) 4) 1) (* x x)) (+ (* (/ (* p p) (* x x)) 4) 1) (/ (* p p) (* x x)) (* p p) p (* x x) 4 (sqrt (* 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)))))) (+ (* -1/4 (/ x p)) 1/2) -1/4 (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ (* (* (/ (* p p) (* x x)) 1/2) -1) 1) (* (/ (* p p) (* x x)) 1/2) -1 (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) 2 (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)) (* (* p 4) p) (* p 4))
8.0ms	p	@	inf	((sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 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))) (+ (* (* 4 p) p) (* x x)) (* (+ (* (/ (* p p) (* x x)) 4) 1) (* x x)) (+ (* (/ (* p p) (* x x)) 4) 1) (/ (* p p) (* x x)) (* p p) p (* x x) 4 (sqrt (* 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)))))) (+ (* -1/4 (/ x p)) 1/2) -1/4 (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ (* (* (/ (* p p) (* x x)) 1/2) -1) 1) (* (/ (* p p) (* x x)) 1/2) -1 (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) 2 (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)) (* (* p 4) p) (* p 4))
7.0ms	p	@	-inf	((sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 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))) (+ (* (* 4 p) p) (* x x)) (* (+ (* (/ (* p p) (* x x)) 4) 1) (* x x)) (+ (* (/ (* p p) (* x x)) 4) 1) (/ (* p p) (* x x)) (* p p) p (* x x) 4 (sqrt (* 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)))))) (+ (* -1/4 (/ x p)) 1/2) -1/4 (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ (* (* (/ (* p p) (* x x)) 1/2) -1) 1) (* (/ (* p p) (* x x)) 1/2) -1 (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) 2 (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)) (* (* p 4) p) (* p 4))
7.0ms	x	@	-inf	((sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 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))) (+ (* (* 4 p) p) (* x x)) (* (+ (* (/ (* p p) (* x x)) 4) 1) (* x x)) (+ (* (/ (* p p) (* x x)) 4) 1) (/ (* p p) (* x x)) (* p p) p (* x x) 4 (sqrt (* 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)))))) (+ (* -1/4 (/ x p)) 1/2) -1/4 (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ (* (* (/ (* p p) (* x x)) 1/2) -1) 1) (* (/ (* p p) (* x x)) 1/2) -1 (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) 2 (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)) (* (* p 4) p) (* p 4))

rewrite242.0ms (5.8%)

Memory

14.9MiB live, 297.6MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1271	12282
0	1308	10897
1	7746	10882
0	9206	10500

Stop Event

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

Counts

306 → 411

Calls

Call 1

Inputs
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 #s(approx (+ ( (* 4 p) p) (* x x)) (.f64 (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x))))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 #s(approx (+ ( (* 4 p) p) (* x x)) (.f64 (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x)))))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 #s(approx (+ (* (* 4 p) p) (* x x)) (.f64 (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x))))))
#s(literal 1 binary64)
(/.f64 x (sqrt.f64 #s(approx (+ (* (* 4 p) p) (* x x)) (.f64 (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x)))))
x
(sqrt.f64 #s(approx (+ (* (* 4 p) p) (* x x)) (.f64 (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x))))
#s(approx (+ (* (* 4 p) p) (* x x)) (.f64 (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x)))
(.f64 (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x))
(fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 4 binary64) #s(literal 1 binary64))
(/.f64 (.f64 p p) (.f64 x x))
(*.f64 p p)
p
(*.f64 x x)
#s(literal 4 binary64)
#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)))))) (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 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
(/.f64 x p)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (.f64 (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 1/2 binary64))
#s(literal -1 binary64)
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64))))
(/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64)))
#s(literal 2 binary64)
(.f64 (sqrt.f64 (fma.f64 x x (.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)))
(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))
#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 (+ 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 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 (+ (* (* 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 (* (+ (* (/ (* p p) (* x x)) 4) 1) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (/ (* p p) (* x x)) 4) 1) (* x x)) #s(hole binary64 (+ (* 4 (pow p 2)) (pow x 2))))
#s(approx (+ (* (/ (* p p) (* x x)) 4) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* p p) (* x x)) 4) 1) #s(hole binary64 (+ 1 (* 4 (/ (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 p #s(hole binary64 p))
#s(approx (+ (* -1/4 (/ x p)) 1/2) #s(hole binary64 (* -1/4 (/ x p))))
#s(approx (+ (* -1/4 (/ x p)) 1/2) #s(hole binary64 (/ (+ (* -1/4 x) (* 1/2 p)) p)))
#s(approx (/ x p) #s(hole binary64 (/ x p)))
#s(approx (+ (* (* (/ (* p p) (* x x)) 1/2) -1) 1) #s(hole binary64 1))
#s(approx (+ (* (* (/ (* p p) (* x x)) 1/2) -1) 1) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (* (/ (* p p) (* x x)) 1/2) #s(hole binary64 (* 1/2 (/ (pow p 2) (pow x 2)))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (pow 1 1/4)))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* 1/2 (* (pow p 2) (+ (* -2 (* (pow 1 1/4) (/ 1 (pow x 2)))) (* (pow 1 1/4) (/ 1 (pow x 2)))))) (pow 1 1/4))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* (pow p 2) (+ (* 1/2 (* (pow p 2) (+ (* -5/4 (* (pow 1 1/4) (/ 1 (pow x 4)))) (+ (* -1 (* (pow 1 1/4) (/ 1 (pow x 4)))) (* 5 (* (pow 1 1/4) (/ 1 (pow x 4)))))))) (* 1/2 (+ (* -2 (* (pow 1 1/4) (/ 1 (pow x 2)))) (* (pow 1 1/4) (/ 1 (pow x 2))))))) (pow 1 1/4))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* (pow p 2) (+ (* 1/2 (+ (* -2 (* (pow 1 1/4) (/ 1 (pow x 2)))) (* (pow 1 1/4) (/ 1 (pow x 2))))) (* (pow p 2) (+ (* 1/2 (* (pow p 2) (+ (* -15 (* (pow 1 1/4) (/ 1 (pow x 6)))) (+ (* 5/4 (* (pow 1 1/4) (/ 1 (pow x 6)))) (+ (* 5/2 (* (pow 1 1/4) (/ 1 (pow x 6)))) (* 21/8 (* (pow 1 1/4) (/ 1 (pow x 6))))))))) (* 1/2 (+ (* -5/4 (* (pow 1 1/4) (/ 1 (pow x 4)))) (+ (* -1 (* (pow 1 1/4) (/ 1 (pow x 4)))) (* 5 (* (pow 1 1/4) (/ 1 (pow x 4))))))))))) (pow 1 1/4))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 1))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 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 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 2))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 2 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #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 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* 4 x)))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ (* 4 x) (* 4 (/ (pow p 2) x)))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ (* 4 x) (* (pow p 2) (+ (* -4 (/ (pow p 2) (pow x 3))) (* 4 (/ 1 x)))))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ (* 4 x) (* (pow p 2) (+ (* (pow p 2) (- (* 8 (/ (pow p 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 4 (/ 1 x)))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* 2 x)))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (+ (* 2 x) (* 4 (/ (pow p 2) x)))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (+ (* 2 x) (* (pow p 2) (+ (* -4 (/ (pow p 2) (pow x 3))) (* 4 (/ 1 x)))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (+ (* 2 x) (* (pow p 2) (+ (* (pow p 2) (- (* 8 (/ (pow p 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 4 (/ 1 x)))))))
#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)))))))
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#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 16 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 8)) (+ (* -2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -1 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* 2 (* (pow p 4) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 16 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* 2 (/ (pow p 2) (pow x 2)))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 16 (pow p 6))) (pow x 4))) (* 2 (pow p 2)))) (pow x 2))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -16 (pow p 8)) (+ (* -2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -1 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* 2 (* (pow p 4) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 16 (pow p 6))) (pow x 4))) (* 2 (pow p 2))))) (pow x 2))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* -4 (/ (pow p 2) x))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* -1 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) x))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* -1 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 8 (/ (pow p 6) (pow x 4))))) x))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* -1 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -1 (/ (+ (* 4 (pow p 8)) (* 16 (pow p 8))) (pow x 6))) (+ (* 4 (pow p 2)) (* 8 (/ (pow p 6) (pow x 4)))))) x))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -2 x)))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (* 4 (/ (pow p 2) (pow x 2))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (+ (* -4 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 2) (pow x 2)))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* 4 (/ (pow p 2) (pow x 2))) (* 8 (/ (pow p 6) (pow x 6))))))))))
#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))))))))))

Outputs
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 #s(approx (+ ( x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x))))) #s(literal 1 binary64))))
(pow.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 #s(approx (+ ( x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x))))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 #s(approx (+ ( x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x))))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (+.f64 (/.f64 x (sqrt.f64 #s(approx (+ ( x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x (sqrt.f64 #s(approx (+ ( x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 #s(approx (+ ( x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x))))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(approx (+ ( x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x)))))))
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 #s(approx (+ ( x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x))))) (/.f64 x (sqrt.f64 #s(approx (+ ( x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x))))))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 #s(approx (+ ( x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x))))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x))))) (/.f64 x (sqrt.f64 #s(approx (+ ( x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x)))))) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 #s(approx (+ (* x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x)))))))))
(+.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 #s(approx (+ (* x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x))))))
#s(literal 1 binary64)
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(approx (+ (* x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x))))))
(/.f64 x (sqrt.f64 #s(approx (+ (* x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x)))))
x
(pow.f64 #s(approx (+ (* x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ (* x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x))))
(exp.f64 (.f64 (log.f64 #s(approx (+ ( x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x)))) #s(literal 1/2 binary64)))
#s(approx (+ (* x x) (* (* p 4) p)) (.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (.f64 (fma.f64 (*.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (*.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (.f64 x x) (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x))))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x)) (.f64 x x)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x)) (*.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x)) (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x)) (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x)) (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x)) (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x))))))
(fma.f64 (*.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 (/.f64 p x) (/.f64 p x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (.f64 (/.f64 p x) (/.f64 p x))))
(+.f64 (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 x x)))
(*.f64 (/.f64 p x) (/.f64 p x))
(.f64 p (/.f64 p (.f64 x x)))
(/.f64 (neg.f64 (.f64 p p)) (neg.f64 (.f64 x x)))
(/.f64 (/.f64 (*.f64 p p) x) x)
(/.f64 (.f64 p p) (.f64 x x))
(*.f64 (pow.f64 p #s(literal 1 binary64)) (pow.f64 p #s(literal 1 binary64)))
(*.f64 (neg.f64 p) (neg.f64 p))
(*.f64 (fabs.f64 p) (fabs.f64 p))
(*.f64 p p)
(pow.f64 p #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 p) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 p) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 p) #s(literal 2 binary64))))
p
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 4 binary64)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))
(pow.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(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))))
(exp.f64 (.f64 (log.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(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)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x p) #s(literal -1/4 binary64)) (*.f64 (/.f64 x p) #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 x p) #s(literal -1/4 binary64)) (.f64 (/.f64 x p) #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 (/.f64 x p) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 x p) #s(literal -1/4 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (/.f64 x p) #s(literal -1/4 binary64)) (.f64 (/.f64 x p) #s(literal -1/4 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x p) #s(literal -1/4 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x p) #s(literal -1/4 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (/.f64 x p) #s(literal -1/4 binary64)) (.f64 (/.f64 x p) #s(literal -1/4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.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))
(fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(+.f64 (*.f64 (/.f64 x p) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal -1/4 binary64)))
#s(literal -1/4 binary64)
(/.f64 (neg.f64 x) (neg.f64 p))
(/.f64 x p)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (*.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 p p)) (.f64 x x)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 p p)) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 p p)) (.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 p p)) (.f64 x x)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 p p)) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 p p)) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 p p)) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 p p)) (.f64 x x)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 p p)) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 p p)) (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 p p)) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 p p)) (.f64 x x)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 p p)) (.f64 x x))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 p p)) (.f64 x x))))))
(fma.f64 (*.f64 (/.f64 p x) (/.f64 p x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 p x) (/.f64 p x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (.f64 p p) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 1/2 binary64)) (*.f64 x x)))
(+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 p p)) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 p p)) (*.f64 x x)))
(.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 p x) (/.f64 p x)))
(/.f64 (.f64 (.f64 p p) #s(literal 1/2 binary64)) (*.f64 x x))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 p p)) (*.f64 x x))
#s(literal -1 binary64)
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#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 (/.f64 x p) #s(literal -1/2 binary64)))
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#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 #s(literal -2 binary64) p))
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#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (fma.f64 (/.f64 x p) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) p) #s(literal -1/4 binary64) (*.f64 #s(literal 1/4 binary64) x)) p) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) x (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) p) #s(literal 1/32 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 0 binary64)) #s(literal 1/4 binary64))) p))) p) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (fma.f64 (/.f64 x p) #s(literal -1/2 binary64) #s(literal 1 binary64)))
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#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (fma.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) p) #s(literal 1/16 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 0 binary64)) #s(literal 1/2 binary64))) p))) p) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (*.f64 #s(literal -4 binary64) p))
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#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (*.f64 #s(literal -4 binary64) p))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 x x) (*.f64 p p)) #s(literal 1/2 binary64) #s(literal 4 binary64)) p)))
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#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 #s(literal -2 binary64) p))
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#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 p #s(literal 3 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p)) x #s(literal 1 binary64)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/256 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 5 binary64))) (.f64 #s(literal -1/16 binary64) (pow.f64 p #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) p)) x #s(literal 1 binary64)))
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#s(approx x x)
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#s(approx (+ (* (/ (* p p) (* x x)) 4) 1) (/.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
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#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/4 binary64) (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (fma.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p p)) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 (.f64 p p) #s(literal 2 binary64))))) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 (.f64 p p) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 p #s(literal 1 binary64))))) x)))
#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)))))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (.f64 p p)) (.f64 x x)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p))) (.f64 x x)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p)))) (.f64 x x)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (.f64 (.f64 p p) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 p p) #s(literal 2 binary64)))) (*.f64 x x)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 p p) #s(literal 2 binary64))))) (*.f64 x x)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (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 p p) #s(literal 2 binary64)) (.f64 x x)) #s(literal 1 binary64))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (-.f64 (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) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (neg.f64 x))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (.f64 (neg.f64 x) (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1 binary64))))
#s(approx (+ (* -1/4 (/ x p)) 1/2) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (neg.f64 (/.f64 p x)))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (fma.f64 (/.f64 p x) #s(literal -1 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (fma.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (neg.f64 (/.f64 p x))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (fma.f64 (/.f64 p x) #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 192 binary64)) #s(literal 1/96 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/2 binary64))) p) (.f64 x x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (*.f64 (/.f64 p x) (/.f64 p x)))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (.f64 p p)) (.f64 x x)))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p))) (.f64 x x)))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -16 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (neg.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 20 binary64)))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p)))) (*.f64 x x)))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (.f64 (.f64 p p) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 p p) #s(literal 2 binary64)))) (*.f64 x x)))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -16 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (neg.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 20 binary64)))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 p p) #s(literal 2 binary64))))) (.f64 x x)))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (.f64 #s(literal -4 binary64) (/.f64 (.f64 p p) x)))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) #s(literal -4 binary64) (.f64 (*.f64 p p) #s(literal 4 binary64))) x)))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 8 binary64) (.f64 (*.f64 p p) #s(literal 4 binary64)))) x)))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) #s(literal -4 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 20 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 8 binary64) (.f64 (.f64 p p) #s(literal 4 binary64))))) x)))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (*.f64 #s(literal -2 binary64) x))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (.f64 (neg.f64 x) (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 4 binary64) #s(literal 2 binary64))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -4 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x))) #s(literal 2 binary64))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 8 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x)))) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (neg.f64 x))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (.f64 (neg.f64 x) (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1 binary64))))

eval61.0ms (1.5%)

Memory: -18.8MiB live, 128.1MiB allocated; 14ms collecting garbage
Compiler: Compiled 19 353 to 2 607 computations (86.5% saved)

prune13.0ms (0.3%)

Memory

35.6MiB live, 35.6MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	447	7	454
Fresh	6	4	10
Picked	2	3	5
Done	0	0	0
Total	455	14	469

Accuracy

94.8%

Counts

469 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.2%	(sqrt.f64 (+.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))))
	29.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64))) #s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (*.f64 p #s(literal 4 binary64))))))
	2.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ ( x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (.f64 #s(literal -4 binary64) p)) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64)))))
✓	76.2%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 #s(approx (+ ( (* 4 p) p) (* x x)) (.f64 (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x))))))))
	73.0%	(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 (*.f64 p p) x) #s(literal 2 binary64) x))))))
▶	6.2%	(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)))))
	51.9%	(sqrt.f64 #s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
▶	21.8%	(sqrt.f64 #s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (*.f64 (/.f64 p x) (/.f64 p x))))
▶	55.7%	(sqrt.f64 #s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(literal 1/2 binary64)))
✓	51.1%	(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))))
	17.9%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
	29.8%	#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (neg.f64 (/.f64 p x)))
▶	23.6%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 1/2 binary64)) (*.f64 x x))))
✓	33.0%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))

Compiler

Compiled 743 to 482 computations (35.1% saved)

series33.0ms (0.8%)

Memory

-27.6MiB live, 65.7MiB allocated; 4ms collecting garbage

Counts

30 → 244

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 1))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 1))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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) #s(hole binary64 1/2))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (+ 1/2 (* (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) #s(hole binary64 (+ 1/2 (* (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 (+ (* x x) (* (* p 4) p)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (* p 4) p)) #s(hole binary64 (+ (* 4 (pow p 2)) (pow x 2))))
#s(approx (* (* p 4) p) #s(hole binary64 (* 4 (pow p 2))))
#s(approx (* p 4) #s(hole binary64 (* 4 p)))
#s(approx p #s(hole binary64 p))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (pow 1 1/4)))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* 1/2 (* (pow p 2) (+ (* -2 (* (pow 1 1/4) (/ 1 (pow x 2)))) (* (pow 1 1/4) (/ 1 (pow x 2)))))) (pow 1 1/4))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* (pow p 2) (+ (* 1/2 (* (pow p 2) (+ (* -5/4 (* (pow 1 1/4) (/ 1 (pow x 4)))) (+ (* -1 (* (pow 1 1/4) (/ 1 (pow x 4)))) (* 5 (* (pow 1 1/4) (/ 1 (pow x 4)))))))) (* 1/2 (+ (* -2 (* (pow 1 1/4) (/ 1 (pow x 2)))) (* (pow 1 1/4) (/ 1 (pow x 2))))))) (pow 1 1/4))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* (pow p 2) (+ (* 1/2 (+ (* -2 (* (pow 1 1/4) (/ 1 (pow x 2)))) (* (pow 1 1/4) (/ 1 (pow x 2))))) (* (pow p 2) (+ (* 1/2 (* (pow p 2) (+ (* -15 (* (pow 1 1/4) (/ 1 (pow x 6)))) (+ (* 5/4 (* (pow 1 1/4) (/ 1 (pow x 6)))) (+ (* 5/2 (* (pow 1 1/4) (/ 1 (pow x 6)))) (* 21/8 (* (pow 1 1/4) (/ 1 (pow x 6))))))))) (* 1/2 (+ (* -5/4 (* (pow 1 1/4) (/ 1 (pow x 4)))) (+ (* -1 (* (pow 1 1/4) (/ 1 (pow x 4)))) (* 5 (* (pow 1 1/4) (/ 1 (pow x 4))))))))))) (pow 1 1/4))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 1))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 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 (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 (+ 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 (- 1 (/ (* (* p p) 1/2) (* x x))) #s(hole binary64 1))
#s(approx (- 1 (/ (* (* p p) 1/2) (* x x))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ (* (* p p) 1/2) (* x x)) #s(hole binary64 (* 1/2 (/ (pow p 2) (pow x 2)))))
#s(approx (* (* p p) 1/2) #s(hole binary64 (* 1/2 (pow p 2))))
#s(approx (* p p) #s(hole binary64 (pow p 2)))
#s(approx (* (/ p x) (/ p x)) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (/ p x) #s(hole binary64 (/ p x)))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 1/2))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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)))) 1/2) #s(hole binary64 (* 1/4 (/ x p))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (/ (+ (* -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)))) 1/2) #s(hole binary64 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/2 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/32 (/ (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 (/ (+ (* -1/16 (/ (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 (+ (* x x) (* (* p 4) p)) #s(hole binary64 (* 4 (pow p 2))))
#s(approx (+ (* x x) (* (* p 4) p)) #s(hole binary64 (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (* (sqrt p) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p)))))))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (* p (+ (* 1/2 (/ (+ (* -1/8 (* (sqrt (/ 1 p)) (* (pow x 2) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p))))))))) (* 1/2 (* (sqrt p) (* x (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p)))))))))) (pow p 2))) (* (sqrt (/ 1 p)) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p)))))))))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (* p (+ (* 1/16 (* (sqrt (/ 1 (pow p 5))) (* (pow x 2) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p))))))))) (+ (* 1/2 (/ (+ (* -1/8 (* (sqrt (/ 1 p)) (* (pow x 2) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p))))))))) (* 1/2 (* (sqrt p) (* x (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p)))))))))) (pow p 2))) (* (sqrt (/ 1 p)) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p))))))))))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (* p (+ (* 1/16 (* (sqrt (/ 1 (pow p 5))) (* (pow x 2) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p))))))))) (+ (* 1/2 (/ (+ (* -1/8 (* (sqrt (/ 1 p)) (* (pow x 2) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p))))))))) (* 1/2 (* (sqrt p) (* x (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p)))))))))) (pow p 2))) (+ (* 1/2 (/ (+ (* -1/16 (* (sqrt (pow p 3)) (* (pow x 2) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p))))))))) (+ (* -1/32 (* (sqrt p) (* (pow x 3) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p))))))))) (* 2 (* (sqrt (/ 1 p)) (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p)))))) (+ (* 1/512 (pow x 4)) (* 1/96 (+ (* -3/4 (pow x 4)) (* 3/2 (pow x 4)))))))))) (pow p 4))) (* (sqrt (/ 1 p)) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p)))))))))))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 1/2))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
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#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))))))))
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#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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))))
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#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* -1 (/ p x)) (+ (* 1/2 (/ (pow p 3) (pow x 3))) (/ (pow p 3) (pow x 3))))))
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#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))))
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Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((sqrt (+ 1/2 (* (/ 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)))) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) x (sqrt (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)) (* (* p 4) p) (* p 4) p 4 (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (- 1 (/ (* (* p p) 1/2) (* x x))) (/ (* (* p p) 1/2) (* x x)) (* (* p p) 1/2) (* p p) (* x x) (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (* (/ p x) (/ p x)) (/ p x))
5.0ms	p	@	inf	((sqrt (+ 1/2 (* (/ 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)))) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) x (sqrt (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)) (* (* p 4) p) (* p 4) p 4 (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (- 1 (/ (* (* p p) 1/2) (* x x))) (/ (* (* p p) 1/2) (* x x)) (* (* p p) 1/2) (* p p) (* x x) (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (* (/ p x) (/ p x)) (/ p x))
4.0ms	p	@	0	((sqrt (+ 1/2 (* (/ 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)))) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) x (sqrt (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)) (* (* p 4) p) (* p 4) p 4 (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (- 1 (/ (* (* p p) 1/2) (* x x))) (/ (* (* p p) 1/2) (* x x)) (* (* p p) 1/2) (* p p) (* x x) (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (* (/ p x) (/ p x)) (/ p x))
4.0ms	p	@	-inf	((sqrt (+ 1/2 (* (/ 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)))) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) x (sqrt (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)) (* (* p 4) p) (* p 4) p 4 (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (- 1 (/ (* (* p p) 1/2) (* x x))) (/ (* (* p p) 1/2) (* x x)) (* (* p p) 1/2) (* p p) (* x x) (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (* (/ p x) (/ p x)) (/ p x))
3.0ms	x	@	inf	((sqrt (+ 1/2 (* (/ 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)))) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) x (sqrt (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)) (* (* p 4) p) (* p 4) p 4 (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (- 1 (/ (* (* p p) 1/2) (* x x))) (/ (* (* p p) 1/2) (* x x)) (* (* p p) 1/2) (* p p) (* x x) (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (* (/ p x) (/ p x)) (/ p x))

rewrite272.0ms (6.5%)

Memory

22.4MiB live, 262.3MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1215	12154
0	1243	10484
1	7397	10469
0	8872	10000

Stop Event

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

Counts

274 → 359

Calls

Call 1

Inputs
(sqrt.f64 (+.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 #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)))
#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 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)
(sqrt.f64 #s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(literal 1/2 binary64))
(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)))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (/ 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))))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 1/2 binary64)) (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 1/2 binary64)) (*.f64 x x)))
(/.f64 (.f64 (.f64 p p) #s(literal 1/2 binary64)) (*.f64 x x))
(.f64 (.f64 p p) #s(literal 1/2 binary64))
(*.f64 p p)
(*.f64 x x)
(sqrt.f64 #s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (*.f64 (/.f64 p x) (/.f64 p x))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (*.f64 (/.f64 p x) (/.f64 p x)))
(*.f64 (/.f64 p x) (/.f64 p x))
(/.f64 p x)
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 1))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 1))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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) #s(hole binary64 1/2))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (+ 1/2 (* (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) #s(hole binary64 (+ 1/2 (* (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 (+ (* x x) (* (* p 4) p)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (* p 4) p)) #s(hole binary64 (+ (* 4 (pow p 2)) (pow x 2))))
#s(approx (* (* p 4) p) #s(hole binary64 (* 4 (pow p 2))))
#s(approx (* p 4) #s(hole binary64 (* 4 p)))
#s(approx p #s(hole binary64 p))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (pow 1 1/4)))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* 1/2 (* (pow p 2) (+ (* -2 (* (pow 1 1/4) (/ 1 (pow x 2)))) (* (pow 1 1/4) (/ 1 (pow x 2)))))) (pow 1 1/4))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* (pow p 2) (+ (* 1/2 (* (pow p 2) (+ (* -5/4 (* (pow 1 1/4) (/ 1 (pow x 4)))) (+ (* -1 (* (pow 1 1/4) (/ 1 (pow x 4)))) (* 5 (* (pow 1 1/4) (/ 1 (pow x 4)))))))) (* 1/2 (+ (* -2 (* (pow 1 1/4) (/ 1 (pow x 2)))) (* (pow 1 1/4) (/ 1 (pow x 2))))))) (pow 1 1/4))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* (pow p 2) (+ (* 1/2 (+ (* -2 (* (pow 1 1/4) (/ 1 (pow x 2)))) (* (pow 1 1/4) (/ 1 (pow x 2))))) (* (pow p 2) (+ (* 1/2 (* (pow p 2) (+ (* -15 (* (pow 1 1/4) (/ 1 (pow x 6)))) (+ (* 5/4 (* (pow 1 1/4) (/ 1 (pow x 6)))) (+ (* 5/2 (* (pow 1 1/4) (/ 1 (pow x 6)))) (* 21/8 (* (pow 1 1/4) (/ 1 (pow x 6))))))))) (* 1/2 (+ (* -5/4 (* (pow 1 1/4) (/ 1 (pow x 4)))) (+ (* -1 (* (pow 1 1/4) (/ 1 (pow x 4)))) (* 5 (* (pow 1 1/4) (/ 1 (pow x 4))))))))))) (pow 1 1/4))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 1))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 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 (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 (+ 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 (- 1 (/ (* (* p p) 1/2) (* x x))) #s(hole binary64 1))
#s(approx (- 1 (/ (* (* p p) 1/2) (* x x))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ (* (* p p) 1/2) (* x x)) #s(hole binary64 (* 1/2 (/ (pow p 2) (pow x 2)))))
#s(approx (* (* p p) 1/2) #s(hole binary64 (* 1/2 (pow p 2))))
#s(approx (* p p) #s(hole binary64 (pow p 2)))
#s(approx (* (/ p x) (/ p x)) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (/ p x) #s(hole binary64 (/ p x)))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 1/2))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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)))) 1/2) #s(hole binary64 (* 1/4 (/ x p))))
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#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (/ (+ (* -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)))
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#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 (+ 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
(.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 (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))
(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 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (/.f64 (.f64 x #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) (/.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (/.f64 (.f64 x #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) (/.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))))
(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))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (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) (.f64 (neg.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 x #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) (/.f64 (.f64 x #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 (/.f64 x (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) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))
(/.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
x
(pow.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)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)))) (-.f64 (.f64 x x) (.f64 (.f64 p p) #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 p p) #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 p p) #s(literal 4 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 p p) #s(literal 4 binary64)))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))
(fma.f64 p (.f64 #s(literal 4 binary64) p) (.f64 x x))
(fma.f64 x x (.f64 (.f64 p p) #s(literal 4 binary64)))
(-.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))
(-.f64 (.f64 x x) (.f64 (neg.f64 (*.f64 #s(literal 4 binary64) p)) p))
(+.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 (*.f64 p p) #s(literal 4 binary64)))
(.f64 (.f64 p p) #s(literal 4 binary64))
(.f64 (.f64 #s(literal 4 binary64) p) p)
(.f64 #s(literal 4 binary64) (.f64 p p))
(.f64 p (.f64 #s(literal 4 binary64) p))
(*.f64 #s(literal 4 binary64) p)
(*.f64 p #s(literal 4 binary64))
p
#s(literal 4 binary64)
(pow.f64 #s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx ( 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(pow.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64))))))
(+.f64 #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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) (.f64 (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 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 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1/2 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 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 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) (pow.f64 (/.f64 p x) #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 1/2 binary64)))
(+.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 p p) x) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 p p) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (.f64 p p) #s(literal 1/2 binary64)) x) x)
(/.f64 (neg.f64 (.f64 (.f64 p p) #s(literal 1/2 binary64))) (neg.f64 (*.f64 x x)))
(/.f64 (.f64 (.f64 p p) #s(literal 1/2 binary64)) (*.f64 x x))
(.f64 (.f64 p p) #s(literal 1/2 binary64))
(.f64 p (.f64 p #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 p p))
(*.f64 (pow.f64 p #s(literal 1 binary64)) (pow.f64 p #s(literal 1 binary64)))
(*.f64 (neg.f64 p) (neg.f64 p))
(*.f64 (fabs.f64 p) (fabs.f64 p))
(*.f64 p p)
(pow.f64 p #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 p) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 p) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 p) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 #s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 #s(approx ( 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
(*.f64 (fabs.f64 (/.f64 p x)) (fabs.f64 (/.f64 p x)))
(*.f64 (neg.f64 (/.f64 p x)) (neg.f64 (/.f64 p x)))
(*.f64 (/.f64 p x) (/.f64 p x))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (*.f64 p (/.f64 p x)) x)
(/.f64 (*.f64 (/.f64 p x) p) x)
(/.f64 (neg.f64 (.f64 p p)) (neg.f64 (.f64 x x)))
(/.f64 (.f64 p p) (.f64 x x))
(exp.f64 (*.f64 (log.f64 (/.f64 p x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 p) (neg.f64 x))
(/.f64 p x)
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(literal 1 binary64))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (fma.f64 (fma.f64 (/.f64 (.f64 p p) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/8 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 p p) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 11/8 binary64) (/.f64 (.f64 #s(literal -69/16 binary64) (.f64 p p)) (pow.f64 x #s(literal 6 binary64)))) (.f64 p p) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 p p) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(literal 1 binary64))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 p p)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64))) (*.f64 p p) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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)) (pow.f64 x #s(literal -2 binary64))) (*.f64 p p) #s(literal 1 binary64)))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(literal 1/2 binary64))
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#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) p) #s(literal -1/4 binary64) (*.f64 #s(literal 1/4 binary64) x)) p) #s(literal -1 binary64) #s(literal 1/2 binary64)))
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#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 (/.f64 x p) #s(literal -1/2 binary64)))
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#s(approx x x)
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#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (-.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (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 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (-.f64 (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) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (neg.f64 (/.f64 p x)))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (fma.f64 (/.f64 p x) #s(literal -1 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (fma.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (neg.f64 (/.f64 p x))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (fma.f64 (/.f64 p x) #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 192 binary64)) #s(literal 1/96 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/2 binary64))) p) (.f64 x x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (.f64 p p)) (.f64 x x)))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p))) (.f64 x x)))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -16 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (neg.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 20 binary64)))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p)))) (*.f64 x x)))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (*.f64 p (pow.f64 x #s(literal -1 binary64)))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1/4 binary64) (*.f64 #s(literal 1 binary64) p)) x)))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1/4 binary64) (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 (.f64 p p) #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) p))) x)))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1/4 binary64) (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (fma.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 p p)) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 (.f64 p p) #s(literal 2 binary64))))) #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) (.f64 (.f64 p p) #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) p)))) x)))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (.f64 p p)) (.f64 x x)))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p))) (.f64 x x)))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p)))) (.f64 x x)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (.f64 (.f64 p p) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 p p) #s(literal 2 binary64)))) (*.f64 x x)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 p p) #s(literal 2 binary64))))) (*.f64 x x)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (-.f64 (*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (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 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (-.f64 (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) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))

eval42.0ms (1%)

Memory: -17.1MiB live, 84.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 12 382 to 1 727 computations (86.1% saved)

prune47.0ms (1.1%)

Memory

-20.5MiB live, 26.4MiB allocated; 1ms collecting garbage

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	300	7	307
Fresh	4	2	6
Picked	2	3	5
Done	0	3	3
Total	306	15	321

Accuracy

94.8%

Counts

321 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.2%	(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)))
▶	73.0%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.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))))
	6.2%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(literal -1/2 binary64))))
▶	29.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64))) #s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (*.f64 p #s(literal 4 binary64))))))
	2.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ ( x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (.f64 #s(literal -4 binary64) p)) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64)))))
✓	76.2%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 #s(approx (+ ( (* 4 p) p) (* x x)) (.f64 (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x))))))))
▶	51.9%	(sqrt.f64 #s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
	17.9%	(sqrt.f64 #s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/.f64 (.f64 p p) (.f64 x x))))
✓	21.8%	(sqrt.f64 #s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (*.f64 (/.f64 p x) (/.f64 p x))))
✓	55.7%	(sqrt.f64 #s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(literal 1/2 binary64)))
✓	51.1%	(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))))
	20.7%	(exp.f64 (.f64 (log.f64 #s(approx ( 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
▶	29.8%	#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 p x)))
✓	23.6%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 1/2 binary64)) (*.f64 x x))))
✓	33.0%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))

Compiler

Compiled 690 to 457 computations (33.8% saved)

series30.0ms (0.7%)

Memory

5.4MiB live, 51.6MiB allocated; 2ms collecting garbage

Counts

37 → 323

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) #s(hole binary64 1))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* 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 (+ (* (* p p) 4) (* 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 (+ (* (* 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 (+ (* (* p p) 4) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* p p) 4) (* x x)) #s(hole binary64 (+ (* 4 (pow p 2)) (pow x 2))))
#s(approx (* p p) #s(hole binary64 (pow p 2)))
#s(approx p #s(hole binary64 p))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 1))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 (neg (/ p x)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (/ p x) #s(hole binary64 (/ p x)))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 1))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 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 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 1/2))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (+ 1/2 (* (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) #s(hole binary64 (+ 1/2 (* (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 p) x) 2) x) #s(hole binary64 x))
#s(approx (+ (* (/ (* p p) x) 2) x) #s(hole binary64 (+ x (* 2 (/ (pow p 2) x)))))
#s(approx (/ (* p p) x) #s(hole binary64 (/ (pow p 2) x)))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (pow 1 1/4)))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* 1/2 (* (pow p 2) (+ (* -2 (* (pow 1 1/4) (/ 1 (pow x 2)))) (* (pow 1 1/4) (/ 1 (pow x 2)))))) (pow 1 1/4))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* (pow p 2) (+ (* 1/2 (* (pow p 2) (+ (* -5/4 (* (pow 1 1/4) (/ 1 (pow x 4)))) (+ (* -1 (* (pow 1 1/4) (/ 1 (pow x 4)))) (* 5 (* (pow 1 1/4) (/ 1 (pow x 4)))))))) (* 1/2 (+ (* -2 (* (pow 1 1/4) (/ 1 (pow x 2)))) (* (pow 1 1/4) (/ 1 (pow x 2))))))) (pow 1 1/4))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* (pow p 2) (+ (* 1/2 (+ (* -2 (* (pow 1 1/4) (/ 1 (pow x 2)))) (* (pow 1 1/4) (/ 1 (pow x 2))))) (* (pow p 2) (+ (* 1/2 (* (pow p 2) (+ (* -15 (* (pow 1 1/4) (/ 1 (pow x 6)))) (+ (* 5/4 (* (pow 1 1/4) (/ 1 (pow x 6)))) (+ (* 5/2 (* (pow 1 1/4) (/ 1 (pow x 6)))) (* 21/8 (* (pow 1 1/4) (/ 1 (pow x 6))))))))) (* 1/2 (+ (* -5/4 (* (pow 1 1/4) (/ 1 (pow x 4)))) (+ (* -1 (* (pow 1 1/4) (/ 1 (pow x 4)))) (* 5 (* (pow 1 1/4) (/ 1 (pow x 4))))))))))) (pow 1 1/4))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 1))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 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 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 2))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 2 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #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 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* 4 x)))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ (* 4 x) (* 4 (/ (pow p 2) x)))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ (* 4 x) (* (pow p 2) (+ (* -4 (/ (pow p 2) (pow x 3))) (* 4 (/ 1 x)))))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ (* 4 x) (* (pow p 2) (+ (* (pow p 2) (- (* 8 (/ (pow p 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 4 (/ 1 x)))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* 2 x)))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (+ (* 2 x) (* 4 (/ (pow p 2) x)))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (+ (* 2 x) (* (pow p 2) (+ (* -4 (/ (pow p 2) (pow x 3))) (* 4 (/ 1 x)))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (+ (* 2 x) (* (pow p 2) (+ (* (pow p 2) (- (* 8 (/ (pow p 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 4 (/ 1 x)))))))
#s(approx (+ (* x x) (* (* p 4) p)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (* p 4) p)) #s(hole binary64 (+ (* 4 (pow p 2)) (pow x 2))))
#s(approx (* (* p 4) p) #s(hole binary64 (* 4 (pow p 2))))
#s(approx (* p 4) #s(hole binary64 (* 4 p)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* 1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* 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 (+ (* (* p p) 4) (* 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 (+ (* (* 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 (+ (* (* p p) 4) (* x x)) #s(hole binary64 (* 4 (pow p 2))))
#s(approx (+ (* (* p p) 4) (* x x)) #s(hole binary64 (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 1/2))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 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 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (* 1/4 (/ x p))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (/ (+ (* -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)))) 1/2) #s(hole binary64 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/2 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/32 (/ (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 (/ (+ (* -1/16 (/ (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 (+ (* (/ (* p p) x) 2) x) #s(hole binary64 (* 2 (/ (pow p 2) x))))
#s(approx (+ (* (/ (* p p) x) 2) x) #s(hole binary64 (* (pow p 2) (+ (* 2 (/ 1 x)) (/ x (pow p 2))))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (* (sqrt p) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p)))))))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (* p (+ (* 1/2 (/ (+ (* -1/8 (* (sqrt (/ 1 p)) (* (pow x 2) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p))))))))) (* 1/2 (* (sqrt p) (* x (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p)))))))))) (pow p 2))) (* (sqrt (/ 1 p)) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p)))))))))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (* p (+ (* 1/16 (* (sqrt (/ 1 (pow p 5))) (* (pow x 2) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p))))))))) (+ (* 1/2 (/ (+ (* -1/8 (* (sqrt (/ 1 p)) (* (pow x 2) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p))))))))) (* 1/2 (* (sqrt p) (* x (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p)))))))))) (pow p 2))) (* (sqrt (/ 1 p)) (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ 1 p))))))))))))
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#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* 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 (+ (* (* p p) 4) (* 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 x #s(hole binary64 x))
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#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 (* x x) #s(hole binary64 (pow x 2)))
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#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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)))) 1/2) #s(hole binary64 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (* 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)))) 1/2) #s(hole binary64 (* x (+ (* (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))))))
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#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 -1/2))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (- (/ (pow p 2) (pow x 2)) 1/2)))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (- (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (/ (pow p 2) (pow x 2))) 1/2)))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (- (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (/ (pow p 2) (pow x 2)))) 1/2)))
#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 (+ (* (/ (* p p) x) 2) x) #s(hole binary64 (* -1 (* x (- (* -2 (/ (pow p 2) (pow x 2))) 1)))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (* -1 (/ p x))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* -1 (/ p x)) (/ (pow p 3) (pow x 3)))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* -1 (/ p x)) (+ (* 1/2 (/ (pow p 3) (pow x 3))) (/ (pow p 3) (pow x 3))))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* -1 (/ p x)) (+ (* -1 (/ (+ (* -1/2 (pow p 3)) (/ (* p (+ (* 1/96 (+ (* -192 (pow p 4)) (* 384 (pow p 4)))) (* 1/2 (pow p 4)))) (pow x 2))) (pow x 3))) (/ (pow p 3) (pow x 3))))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 16 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 8)) (+ (* -2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -1 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* 2 (* (pow p 4) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 16 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* 2 (/ (pow p 2) (pow x 2)))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 16 (pow p 6))) (pow x 4))) (* 2 (pow p 2)))) (pow x 2))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -16 (pow p 8)) (+ (* -2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -1 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* 2 (* (pow p 4) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 16 (pow p 6))) (pow x 4))) (* 2 (pow p 2))))) (pow x 2))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* -4 (/ (pow p 2) x))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* -1 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) x))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* -1 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 8 (/ (pow p 6) (pow x 4))))) x))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* -1 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -1 (/ (+ (* 4 (pow p 8)) (* 16 (pow p 8))) (pow x 6))) (+ (* 4 (pow p 2)) (* 8 (/ (pow p 6) (pow x 4)))))) x))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -2 x)))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (* 4 (/ (pow p 2) (pow x 2))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (+ (* -4 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 2) (pow x 2)))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* 4 (/ (pow p 2) (pow x 2))) (* 8 (/ (pow p 6) (pow x 6))))))))))

Calls

6 calls:

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

rewrite273.0ms (6.6%)

Memory

15.2MiB live, 301.0MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1309	14520
0	1349	12963
1	7673	12948
0	9120	12472

Stop Event

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

Counts

360 → 478

Calls

Call 1

Inputs
(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)))
(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 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
x
(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(literal 1/2 binary64)
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 p x)))
(neg.f64 (/.f64 p x))
(/.f64 p x)
(sqrt.f64 #s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (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(literal 1/4 binary64)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.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))))
(+.f64 #s(literal 1/2 binary64) (.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)))
(.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))
(/.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))
(fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x)
(/.f64 (*.f64 p p) x)
#s(literal 2 binary64)
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64))) #s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (*.f64 p #s(literal 4 binary64))))))
(.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64))) #s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (*.f64 p #s(literal 4 binary64)))))
(/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64))) #s(approx ( (sqrt (+ (* x x) (* (* p 4) p))) 2) (*.f64 p #s(literal 4 binary64))))
(fma.f64 x #s(literal 2 binary64) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (fma.f64 x x (.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)))
(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))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (*.f64 p #s(literal 4 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) #s(hole binary64 1))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* 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 (+ (* (* p p) 4) (* 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 (+ (* (* 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)))))
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#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* p (+ 4 (+ (* -1/32 (/ (pow x 4) (pow p 4))) (* 1/2 (/ (pow x 2) (pow p 2))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* p (+ 4 (+ (* -1/32 (/ (pow x 4) (pow p 4))) (+ (* 1/256 (/ (pow x 6) (pow p 6))) (* 1/2 (/ (pow x 2) (pow p 2)))))))))
#s(approx (+ (* x x) (* (* p 4) p)) #s(hole binary64 (* 4 (pow p 2))))
#s(approx (+ (* x x) (* (* p 4) p)) #s(hole binary64 (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* 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 (+ (* (* p p) 4) (* 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 (+ (* (* 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 (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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)))) 1/2) #s(hole binary64 (* -1/4 (/ x p))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (* -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)))) 1/2) #s(hole binary64 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/2 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/32 (/ (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 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (* -1 (* (sqrt p) (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 p)))))) (sqrt -1))))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (* -1 (* p (+ (* 1/2 (/ (+ (* -1/8 (* (sqrt (/ 1 p)) (* (pow x 2) (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 p)))))) (sqrt -1))))) (* 1/2 (* (sqrt p) (* x (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 p)))))) (sqrt -1)))))) (pow p 2))) (* (sqrt (/ 1 p)) (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 p)))))) (sqrt -1))))))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (* -1 (* p (+ (* -1/16 (* (sqrt (/ 1 (pow p 5))) (* (pow x 2) (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 p)))))) (sqrt -1))))) (+ (* 1/2 (/ (+ (* -1/8 (* (sqrt (/ 1 p)) (* (pow x 2) (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 p)))))) (sqrt -1))))) (* 1/2 (* (sqrt p) (* x (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 p)))))) (sqrt -1)))))) (pow p 2))) (* (sqrt (/ 1 p)) (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 p)))))) (sqrt -1)))))))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (* -1 (* p (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/16 (* (sqrt (pow p 3)) (* (pow x 2) (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 p)))))) (sqrt -1))))) (+ (* -1/32 (* (sqrt p) (* (pow x 3) (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 p)))))) (sqrt -1))))) (* 2 (* (sqrt (/ 1 p)) (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 p)))))) (* (sqrt -1) (+ (* 1/512 (pow x 4)) (* 1/96 (+ (* -3/4 (pow x 4)) (* 3/2 (pow x 4))))))))))) p)) (* 1/16 (* (sqrt p) (* (pow x 2) (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 p)))))) (sqrt -1)))))) (pow p 3))) (+ (* 1/2 (/ (+ (* -1/8 (* (sqrt (/ 1 p)) (* (pow x 2) (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 p)))))) (sqrt -1))))) (* 1/2 (* (sqrt p) (* x (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 p)))))) (sqrt -1)))))) (pow p 2))) (* (sqrt (/ 1 p)) (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 p)))))) (sqrt -1)))))))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) p)) (* 1/4 x)) p)))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* 1/32 (/ (pow x 3) p)) (* 1/4 (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))))) p)) (* 1/4 x)) p)))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 1 (* -1/2 (/ x p)))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) p)) (* 1/2 x)) p)))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (/ (pow x 3) p)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))))) p)) (* 1/2 x)) p)))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* -4 p)))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* -1 (* p (+ 4 (* -2 (/ x p)))))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* -1 (* p (+ 4 (* -1 (/ (+ (* -1/2 (/ (pow x 2) p)) (* 2 x)) p)))))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* -1 (* p (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (pow x 4) (pow p 2))) (* 1/2 (pow x 2))) p)) (* 2 x)) p)))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -4 p)))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* p (+ 4 (* 1/2 (/ (pow x 2) (pow p 2))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* p (+ 4 (+ (* -1/32 (/ (pow x 4) (pow p 4))) (* 1/2 (/ (pow x 2) (pow p 2)))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* p (+ 4 (+ (* -1/32 (/ (pow x 4) (pow p 4))) (+ (* 1/256 (/ (pow x 6) (pow p 6))) (* 1/2 (/ (pow x 2) (pow p 2))))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* 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 (+ (* (* p p) 4) (* 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 x #s(hole binary64 x))
#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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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)))) 1/2) #s(hole binary64 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (* 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)))) 1/2) #s(hole binary64 (* x (+ (* (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 (/ 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 (+ (* (/ (* p p) x) 2) x) #s(hole binary64 (/ (+ (* 2 (pow p 2)) (pow x 2)) x)))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (pow 1/4 1/4)))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* 1/4 (* (pow 1/4 1/4) (/ x p))) (pow 1/4 1/4))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* x (+ (* 1/4 (* (pow 1/4 1/4) (/ 1 p))) (* 1/2 (* x (+ (* -1/8 (* (pow 1/4 1/4) (/ 1 (pow p 2)))) (* 1/16 (* (pow 1/4 1/4) (/ 1 (pow p 2))))))))) (pow 1/4 1/4))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) #s(hole binary64 (+ (* x (+ (* 1/4 (* (pow 1/4 1/4) (/ 1 p))) (* x (+ (* 1/2 (* x (+ (* -1/32 (* (pow 1/4 1/4) (/ 1 (pow p 3)))) (* -1/64 (* (pow 1/4 1/4) (/ 1 (pow p 3))))))) (* 1/2 (+ (* -1/8 (* (pow 1/4 1/4) (/ 1 (pow p 2)))) (* 1/16 (* (pow 1/4 1/4) (/ 1 (pow p 2)))))))))) (pow 1/4 1/4))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 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 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #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 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ (* 2 x) (* 4 p))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ (* 4 p) (* x (+ 2 (* 1/2 (/ x p)))))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ (* 4 p) (* x (+ 2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (+ (* 1/2 (/ (pow x 2) p)) (* 4 p))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (+ (* 4 p) (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))))
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#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 16 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 8)) (+ (* -2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -1 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* 2 (* (pow p 4) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 16 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* 2 (/ (pow p 2) (pow x 2)))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 16 (pow p 6))) (pow x 4))) (* 2 (pow p 2)))) (pow x 2))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -16 (pow p 8)) (+ (* -2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -1 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* 2 (* (pow p 4) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -8 (pow p 4)) (* -4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 16 (pow p 6))) (pow x 4))) (* 2 (pow p 2))))) (pow x 2))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* -4 (/ (pow p 2) x))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* -1 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) x))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* -1 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 8 (/ (pow p 6) (pow x 4))))) x))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (* -1 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -1 (/ (+ (* 4 (pow p 8)) (* 16 (pow p 8))) (pow x 6))) (+ (* 4 (pow p 2)) (* 8 (/ (pow p 6) (pow x 4)))))) x))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -2 x)))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (* 4 (/ (pow p 2) (pow x 2))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (+ (* -4 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 2) (pow x 2)))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* 4 (/ (pow p 2) (pow x 2))) (* 8 (/ (pow p 6) (pow x 6))))))))))

Outputs
(pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #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 (.f64 #s(literal 4 binary64) p) p (.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 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))))))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))))
x
(pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)))) (-.f64 (.f64 x x) (.f64 (.f64 p p) #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 p p) #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 p p) #s(literal 4 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 p p) #s(literal 4 binary64)))
(fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x 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))
(fma.f64 p (.f64 #s(literal 4 binary64) p) (.f64 x x))
(fma.f64 x x (.f64 (.f64 p p) #s(literal 4 binary64)))
(-.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))
(-.f64 (.f64 x x) (.f64 (neg.f64 (*.f64 #s(literal 4 binary64) p)) p))
(+.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 (*.f64 p p) #s(literal 4 binary64)))
(*.f64 (pow.f64 p #s(literal 1 binary64)) (pow.f64 p #s(literal 1 binary64)))
(*.f64 (neg.f64 p) (neg.f64 p))
(*.f64 (fabs.f64 p) (fabs.f64 p))
(*.f64 p p)
(pow.f64 p #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 p) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 p) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 p) #s(literal 2 binary64))))
p
#s(literal 4 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x))
(*.f64 (/.f64 p x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal -1 binary64) p) x)
(/.f64 (neg.f64 p) x)
(/.f64 p (neg.f64 x))
(neg.f64 (/.f64 p x))
(/.f64 (neg.f64 p) (neg.f64 x))
(/.f64 p x)
(pow.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 #s(approx (+ ( (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 x p) #s(literal 1/4 binary64)) (.f64 (/.f64 x p) #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 (/.f64 x p) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 x p) #s(literal 1/4 binary64)) (*.f64 (/.f64 x p) #s(literal 1/4 binary64)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x p) #s(literal 1/4 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (/.f64 x p) #s(literal 1/4 binary64)) (.f64 (/.f64 x p) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 (/.f64 x p) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 x p) #s(literal 1/4 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (/.f64 x p) #s(literal 1/4 binary64)) (.f64 (/.f64 x p) #s(literal 1/4 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x p) #s(literal 1/4 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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))
(+.f64 (*.f64 (/.f64 x p) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 x) (neg.f64 p))
(/.f64 x p)
#s(literal 1/4 binary64)
(pow.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ ( (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (+.f64 (/.f64 x #s(approx (sqrt (+ ( (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64) x))) (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ ( (* p p) 4) (* x x))) (fma.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ ( (* p p) 4) (* x x))) (fma.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64) x))) (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64) x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ ( (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x)))))))
(fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (/.f64 x #s(approx (sqrt (+ ( (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x)))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ ( (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ ( (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))))
(.f64 (/.f64 x #s(approx (sqrt (+ ( (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 x #s(approx (sqrt (+ ( (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))))
(/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ ( (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x)))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))))
(/.f64 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))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)))) (-.f64 x (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64))) (.f64 x x)) (-.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64))) (.f64 x (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) 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 x (.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) x)))
(+.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) x)
(+.f64 x (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)))
(*.f64 p (/.f64 p x))
(/.f64 (neg.f64 (*.f64 p p)) (neg.f64 x))
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#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (neg.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) (.f64 x x)) #s(literal 1/8 binary64) p) x)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 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)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (.f64 (.f64 x x) p))) p) x)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) (.f64 x x)) #s(literal 1/8 binary64) p) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))) (.f64 p p)) #s(literal 2 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)))) #s(literal 1/4 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (/.f64 (fma.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 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 p p))))) (.f64 (pow.f64 x #s(literal 6 binary64)) p)) (/.f64 (fma.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 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))))) x)))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/.f64 (.f64 p p) (.f64 x x)))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (.f64 p p)) (.f64 x x)))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p))) (.f64 x x)))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))) (.f64 p p)) #s(literal 2 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)))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p)))) (.f64 x x)))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(literal -1/2 binary64))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (-.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (-.f64 (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 p p) (*.f64 x x)))) #s(literal 1/2 binary64)))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(literal -1 binary64))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (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 p p) #s(literal 2 binary64)) (.f64 x x)) #s(literal 1 binary64))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (-.f64 (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) (fma.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (neg.f64 x))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1 binary64))))
#s(approx (+ (* (/ (* p p) x) 2) x) (.f64 (neg.f64 x) (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (.f64 x x)) #s(literal 1 binary64))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (/.f64 (neg.f64 p) x))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (fma.f64 (/.f64 p x) #s(literal -1 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (fma.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 (neg.f64 p) x)))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (fma.f64 (/.f64 p x) #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 192 binary64)) #s(literal 1/96 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/2 binary64))) p) (.f64 x x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/.f64 (.f64 p p) (.f64 x x)))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (.f64 p p)) (.f64 x x)))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p))) (.f64 x x)))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -16 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (neg.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 20 binary64)))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (.f64 p p)))) (*.f64 x x)))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (.f64 (.f64 p p) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 p p) #s(literal 2 binary64)))) (*.f64 x x)))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -16 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (neg.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 20 binary64)))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 p p) #s(literal 2 binary64))))) (.f64 x x)))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (.f64 #s(literal -4 binary64) (/.f64 (.f64 p p) x)))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) #s(literal -4 binary64) (.f64 (*.f64 p p) #s(literal 4 binary64))) x)))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 8 binary64) (.f64 (*.f64 p p) #s(literal 4 binary64)))) x)))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) #s(literal -4 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 20 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 8 binary64) (.f64 (.f64 p p) #s(literal 4 binary64))))) x)))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (*.f64 #s(literal -2 binary64) x))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 4 binary64) #s(literal 2 binary64))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -4 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x))) #s(literal 2 binary64))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 8 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x)))) #s(literal 2 binary64))))

eval107.0ms (2.6%)

Memory: 5.6MiB live, 139.0MiB allocated; 54ms collecting garbage
Compiler: Compiled 15 413 to 2 152 computations (86% saved)

prune36.0ms (0.9%)

Memory

6.9MiB live, 48.9MiB allocated; 13ms collecting garbage

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	371	5	376
Fresh	1	3	4
Picked	2	3	5
Done	2	4	6
Total	376	15	391

Accuracy

94.8%

Counts

391 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.2%	(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)))
	76.2%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (* p p) 4) (* x x)) (.f64 (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	73.0%	(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	6.2%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(literal -1/2 binary64))))
	2.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ ( x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (.f64 #s(literal -4 binary64) p)) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64)))))
	17.9%	(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/.f64 (.f64 p p) (.f64 x x))))
✓	51.9%	(sqrt.f64 #s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
	51.9%	(sqrt.f64 #s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(approx (+ (* (/ x p) 1/4) 1/2) (/.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/2 binary64) p)) p))))
✓	21.8%	(sqrt.f64 #s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (*.f64 (/.f64 p x) (/.f64 p x))))
✓	55.7%	(sqrt.f64 #s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(literal 1/2 binary64)))
✓	51.1%	(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))))
	20.7%	(exp.f64 (.f64 (log.f64 #s(approx ( 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	23.6%	#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	29.8%	#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 p x)))
✓	33.0%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))

Compiler

Compiled 1 379 to 485 computations (64.8% saved)

regimes74.0ms (1.8%)

Memory

7.1MiB live, 100.7MiB allocated; 7ms collecting garbage

Counts

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

Outputs

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

Calls

7 calls:

22.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
10.0ms	(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)))))))
9.0ms	p
9.0ms	x
7.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))

Results

Accuracy	Segments	Branch
80.6%	3	`(.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)))))))`
82.1%	3	`p`
82.6%	2	`x`

Compiler

Compiled 66 to 56 computations (15.2% saved)

regimes20.0ms (0.5%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (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:

5.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
4.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
4.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
4.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))

Results

Accuracy	Segments	Branch
99.3%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.3%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.3%	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))))))`
99.3%	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)

regimes32.0ms (0.8%)

Memory

-31.3MiB live, 21.7MiB allocated; 13ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

4 calls:

19.0ms	(+.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	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Results

Accuracy	Segments	Branch
99.8%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.8%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.8%	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))))))`
99.8%	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)

regimes16.0ms (0.4%)

Memory

26.9MiB live, 26.9MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.8%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.8%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.8%	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))))))`
99.8%	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)

regimes24.0ms (0.6%)

Memory

-30.2MiB live, 18.5MiB allocated; 3ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

4 calls:

16.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
2.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
2.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
2.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))

Results

Accuracy	Segments	Branch
99.3%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.3%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.3%	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))))))`
99.3%	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 (0.2%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms 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 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (neg.f64 (/.f64 p x)))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 p x)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(literal -1/2 binary64))))
(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 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (neg.f64 (/.f64 p 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 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	(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 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))

Results

Accuracy	Segments	Branch
99.1%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.1%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.1%	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))))))`
99.1%	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 (0.2%)

Memory

19.2MiB live, 19.2MiB 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 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(literal 1/2 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:

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

Results

Accuracy	Segments	Branch
68.3%	2	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
68.3%	2	`p`
60.6%	2	`x`
72.8%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
72.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
72.8%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
72.8%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 66 to 56 computations (15.2% saved)

regimes25.0ms (0.6%)

Memory

-30.9MiB live, 15.8MiB allocated; 3ms 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:

1.0ms	p
1.0ms	x
1.0ms	(+.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
33.0%	1	`x`
33.0%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
33.0%	1	`p`
33.0%	1	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
33.0%	1	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
33.0%	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))))))`
33.0%	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

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.7071065864056016

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.7071065864056016

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7071067811865476	0.9996569012596377
0.0ms	0.0	0.7071065864056016

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7071067811865476	0.9996569012596377
0.0ms	0.0	0.7071065864056016

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7071067811865476	0.9996569012596377
0.0ms	0.0	0.7071065864056016

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7071067811865476	0.9996569012596377
0.0ms	0.0	0.7071065864056016

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch4.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	0.7071067811865476	0.9996569012596377

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

adjust: 0.0ms (0% of total)

derivations285.0ms (6.8%)

Memory

14.8MiB live, 252.5MiB allocated; 14ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 738 to 103 computations (86% saved)

preprocess57.0ms (1.4%)

Memory: 11.2MiB live, 105.5MiB allocated; 11ms collecting garbage
Remove: (abs p)
Compiler: Compiled 3 014 to 998 computations (66.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze362.0ms (8.7%)

sample1.4s (33.3%)

explain227.0ms (5.5%)

preprocess81.0ms (1.9%)

series28.0ms (0.7%)

rewrite196.0ms (4.7%)

eval90.0ms (2.2%)

prune20.0ms (0.5%)

series57.0ms (1.4%)

rewrite242.0ms (5.8%)

eval61.0ms (1.5%)

prune13.0ms (0.3%)

series33.0ms (0.8%)

rewrite272.0ms (6.5%)

eval42.0ms (1%)

prune47.0ms (1.1%)

series30.0ms (0.7%)

rewrite273.0ms (6.6%)

eval107.0ms (2.6%)

prune36.0ms (0.9%)

regimes74.0ms (1.8%)

regimes20.0ms (0.5%)

regimes32.0ms (0.8%)

regimes16.0ms (0.4%)

regimes24.0ms (0.6%)

regimes8.0ms (0.2%)

regimes10.0ms (0.2%)

regimes25.0ms (0.6%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch4.0ms (0.1%)

derivations285.0ms (6.8%)

preprocess57.0ms (1.4%)

end0.0ms (0%)

Profiling