Metrics for Given's Rotation SVD example

start0.0ms (0%)

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

analyze369.0ms (7.9%)

Memory

-21.9MiB live, 466.9MiB allocated; 119ms 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)

sample1.9s (40.7%)

Memory

-33.6MiB live, 2 300.0MiB allocated; 1.1s collecting garbage

Samples

989.0ms	6 286×	0	valid
207.0ms	580×	1	valid
203.0ms	983×	2	valid
111.0ms	407×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 680.0ms

ival-mult!: 276.0ms (40.6% of total)

ival-sqrt: 183.0ms (26.9% of total)

ival-div!: 84.0ms (12.3% of total)

adjust: 74.0ms (10.9% of total)

ival-add!: 58.0ms (8.5% 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

explain225.0ms (4.9%)

Memory

-17.7MiB live, 330.3MiB allocated; 81ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
74	-	0	-	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`
37	-	0	-	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
30	-	1	(-6.827205928014673e-147 -4111762776.3739624)	`(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	74	0
↳	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`	overflow	74
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	overflow	74
`+.f64`	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	cancellation	37	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	29	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	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))))))`	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	9
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	underflow	53

Confusion

	Predicted +	Predicted -
+	66	0
-	74	116

Precision

0.4714285714285714

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	66	0	0
-	74	0	116

Precision?

0.4714285714285714

Recall?

1.0

Freqs

test

number	freq
0	116
1	140

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

61.0ms	378×	0	valid
21.0ms	30×	3	valid
18.0ms	36×	1	valid
16.0ms	68×	2	valid

Compiler

Compiled 209 to 46 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult!: 24.0ms (39.2% of total)

ival-sqrt: 24.0ms (39.2% of total)

adjust: 5.0ms (8.2% of total)

ival-add!: 4.0ms (6.5% of total)

ival-div!: 4.0ms (6.5% of total)

preprocess79.0ms (1.7%)

Memory

-5.7MiB live, 40.8MiB allocated; 3ms 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
▶	76.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Symmetry

(abs p)

Compiler

Compiled 34 to 28 computations (17.6% saved)

series25.0ms (0.5%)

Memory

39.0MiB live, 39.0MiB allocated; 0ms 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
5.0ms	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	@	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	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))
3.0ms	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))

rewrite232.0ms (5%)

Memory

-20.7MiB live, 223.0MiB allocated; 75ms 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))))

eval31.0ms (0.7%)

Memory: -13.1MiB live, 40.9MiB allocated; 9ms collecting garbage
Compiler: Compiled 6 003 to 1 145 computations (80.9% saved)

prune15.0ms (0.3%)

Memory

29.0MiB live, 29.0MiB allocated; 0ms collecting garbage

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	172	18	190
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	173	18	191

Accuracy

93.1%

Counts

191 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.6%	(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))))
	47.7%	(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))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64)))))
	76.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 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))))))))))
	73.3%	(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)))))))
▶	73.9%	(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)))) (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))))))
	5.0%	(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)))))
▶	53.4%	(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))))
	52.9%	(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))))
	11.4%	(sqrt.f64 #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))))
	12.5%	(sqrt.f64 #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))))
	16.6%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
	57.3%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
▶	76.6%	(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)))
	22.7%	#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)))
▶	27.4%	#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)))
	28.4%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (*.f64 p (pow.f64 x #s(literal -1 binary64)))))
▶	32.5%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))

Compiler

Compiled 1 138 to 756 computations (33.6% saved)

series85.0ms (1.8%)

Memory

-7.6MiB live, 82.8MiB allocated; 8ms collecting garbage

Counts

45 → 295

Calls

Call 1

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

Outputs
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) #s(hole binary64 1))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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 (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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 (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (* -1/2 (/ (pow p 2) (pow x 2)))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (* (pow p 2) (- (* 5/4 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (* (pow p 2) (- (* (pow p 2) (+ (* -11/3 (/ (pow p 2) (pow x 6))) (* 5/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 93/8 (/ (pow p 2) (pow x 8))) (* 11/3 (/ 1 (pow x 6))))) (* 5/4 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (* -1 (/ (pow p 2) (pow x 2)))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (* (pow p 2) (- (* 5/2 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (* (pow p 2) (- (* (pow p 2) (+ (* -22/3 (/ (pow p 2) (pow x 6))) (* 5/2 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 93/4 (/ (pow p 2) (pow x 8))) (* 22/3 (/ 1 (pow x 6))))) (* 5/2 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) #s(hole binary64 1))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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) #s(hole binary64 2))
#s(approx (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) #s(hole binary64 (+ 2 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) #s(hole binary64 (+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) #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 (+ (* 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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x p) 1/4) 1/2) #s(hole binary64 (* 1/4 (/ x p))))
#s(approx (+ (* (/ x p) 1/4) 1/2) #s(hole binary64 (/ (+ (* 1/4 x) (* 1/2 p)) p)))
#s(approx (/ x p) #s(hole binary64 (/ x p)))
#s(approx (+ 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 (+ (* (/ (* 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 (* p p) #s(hole binary64 (pow p 2)))
#s(approx (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) #s(hole binary64 (* p (- (* 3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2)))) (/ 1 x)))))
#s(approx (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) #s(hole binary64 (/ p x)))
#s(approx (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) #s(hole binary64 (* p (+ (* -3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2)))) (/ 1 x)))))
#s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) #s(hole binary64 p))
#s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) #s(hole binary64 (* p (+ 1 (* -3 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))))))
#s(approx (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) #s(hole binary64 (* -12 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))))
#s(approx (/ (sqrt 1/2) p) #s(hole binary64 (/ (sqrt 1/2) p)))
#s(approx (/ (* (pow p 4) -12) (* (* x x) (sqrt 2))) #s(hole binary64 (* -12 (/ (pow p 4) (* (pow x 2) (sqrt 2))))))
#s(approx (* (pow p 4) -12) #s(hole binary64 (* -12 (pow p 4))))
#s(approx (pow p 4) #s(hole binary64 (pow p 4)))
#s(approx (* p 1) #s(hole binary64 p))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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 (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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 (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (* 1/2 (log 1/2))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (+ (* 1/4 (/ x p)) (* 1/2 (log 1/2)))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (+ (* -1/16 (/ (pow x 2) (pow p 2))) (+ (* 1/4 (/ x p)) (* 1/2 (log 1/2))))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (+ (* -1/16 (/ (pow x 2) (pow p 2))) (+ (* 1/12 (/ (+ (* -3/8 (pow x 3)) (* 1/4 (pow x 3))) (pow p 3))) (+ (* 1/4 (/ x p)) (* 1/2 (log 1/2)))))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (log 1/2)))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (+ (log 1/2) (* 1/2 (/ x p)))))
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#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)))
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#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)))))))))
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#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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
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#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))))))
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#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)))))
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#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 (+ (* (/ (* 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 (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) #s(hole binary64 (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))))
#s(approx (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) #s(hole binary64 (* -1 (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ 1 (* (pow p 2) x)))))))
#s(approx (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) #s(hole binary64 (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))))
#s(approx (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) #s(hole binary64 (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ 1 (* (pow p 2) x))))))
#s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) #s(hole binary64 (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))))
#s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) #s(hole binary64 (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow p 2))))))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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 (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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 (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (+ (* -1/4 (/ x p)) (* 1/2 (log 1/2)))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (/ (pow x 2) p)) (* 1/4 x)) p)) (* 1/2 (log 1/2)))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (+ (* -3/8 (pow x 3)) (* 1/4 (pow x 3))) p)) (* -1/16 (pow x 2))) p)) (* 1/4 x)) p)) (* 1/2 (log 1/2)))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (+ (log 1/2) (* -1/2 (/ x p)))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (+ (log 1/2) (* -1 (/ (+ (* 1/8 (/ (pow x 2) p)) (* 1/2 x)) p)))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (+ (log 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/8 (pow x 3)) (* 1/4 (pow x 3))) p)) (* -1/8 (pow x 2))) p)) (* 1/2 x)) p)))))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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) #s(hole binary64 (+ 1 (* -1/2 (/ x p)))))
#s(approx (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))))
#s(approx (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) #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 (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -2 p)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))))
#s(approx (* 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 (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) #s(hole binary64 (* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))))))))
#s(approx (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) #s(hole binary64 (* -1 (* (pow p 3) (- (* 3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ 1 (* (pow p 2) x)))))))
#s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) #s(hole binary64 (* -1 (* (pow p 3) (- (* 3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow p 2)))))))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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 (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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 (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (+ (* 1/2 (log 1/2)) (* x (+ (* -1/16 (/ x (pow p 2))) (* 1/4 (/ 1 p)))))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (+ (* 1/2 (log 1/2)) (* x (+ (* x (- (* -1/96 (/ x (pow p 3))) (* 1/16 (/ 1 (pow p 2))))) (* 1/4 (/ 1 p)))))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (+ (log 1/2) (* x (+ (* -1/8 (/ x (pow p 2))) (* 1/2 (/ 1 p)))))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (+ (log 1/2) (* x (+ (* x (- (* -1/48 (/ x (pow p 3))) (* 1/8 (/ 1 (pow p 2))))) (* 1/2 (/ 1 p)))))))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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) #s(hole binary64 (+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))))
#s(approx (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) #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 (+ (* 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 x #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ (* 1/4 (/ (pow x 2) p)) (* 2 p))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))))
#s(approx (sqrt (* 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)))))))
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#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 1)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))))
#s(approx (* 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))))))))))
#s(approx (+ (* (/ (* p p) x) 2) x) #s(hole binary64 (* -1 (* x (- (* -2 (/ (pow p 2) (pow x 2))) 1)))))
#s(approx (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) #s(hole binary64 (* -1 (/ (- (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* -1 p)) x))))
#s(approx (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) #s(hole binary64 (* -1 (/ (+ (* -1 p) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) x))))

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	x	@	0	((exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (/ 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 1 1/2 (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)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) 1/4 (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))))) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (sqrt (+ (* (* 4 p) p) (* x x))) (+ (* (/ (* p p) x) 2) x) (/ (* p p) x) (* p p) 2 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) (/ (sqrt 1/2) p) (sqrt 1/2) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2))) (* (pow p 4) -12) (pow p 4) -12 (* (* x x) (sqrt 2)) (* x x) (sqrt 2) (* p 1))
13.0ms	p	@	0	((exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (/ 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 1 1/2 (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)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) 1/4 (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))))) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (sqrt (+ (* (* 4 p) p) (* x x))) (+ (* (/ (* p p) x) 2) x) (/ (* p p) x) (* p p) 2 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) (/ (sqrt 1/2) p) (sqrt 1/2) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2))) (* (pow p 4) -12) (pow p 4) -12 (* (* x x) (sqrt 2)) (* x x) (sqrt 2) (* p 1))
12.0ms	x	@	-inf	((exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (/ 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 1 1/2 (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)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) 1/4 (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))))) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (sqrt (+ (* (* 4 p) p) (* x x))) (+ (* (/ (* p p) x) 2) x) (/ (* p p) x) (* p p) 2 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) (/ (sqrt 1/2) p) (sqrt 1/2) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2))) (* (pow p 4) -12) (pow p 4) -12 (* (* x x) (sqrt 2)) (* x x) (sqrt 2) (* p 1))
9.0ms	x	@	inf	((exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (/ 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 1 1/2 (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)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) 1/4 (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))))) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (sqrt (+ (* (* 4 p) p) (* x x))) (+ (* (/ (* p p) x) 2) x) (/ (* p p) x) (* p p) 2 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) (/ (sqrt 1/2) p) (sqrt 1/2) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2))) (* (pow p 4) -12) (pow p 4) -12 (* (* x x) (sqrt 2)) (* x x) (sqrt 2) (* p 1))
8.0ms	p	@	inf	((exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (/ 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 1 1/2 (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)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) 1/4 (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))))) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (sqrt (+ (* (* 4 p) p) (* x x))) (+ (* (/ (* p p) x) 2) x) (/ (* p p) x) (* p p) 2 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) (/ (sqrt 1/2) p) (sqrt 1/2) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2))) (* (pow p 4) -12) (pow p 4) -12 (* (* x x) (sqrt 2)) (* x x) (sqrt 2) (* p 1))

rewrite233.0ms (5%)

Memory

19.5MiB live, 294.7MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1272	13474
0	1325	11846
1	7227	11820
0	8553	11358

Stop Event

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

Counts

340 → 471

Calls

Call 1

Inputs
(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 (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))
(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)))
(.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 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
x
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(.f64 (.f64 p #s(literal 4 binary64)) p)
(*.f64 p #s(literal 4 binary64))
p
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(literal 1/2 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 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 x p)
#s(literal 1/4 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))))))
(.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)))))
(+.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))))
(/.f64 x #s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))
(fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x)
(/.f64 (*.f64 p p) x)
(*.f64 p p)
#s(literal 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)))
(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))
(/.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)
(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)))
(.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)))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))
(pow.f64 p #s(literal 4 binary64))
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#s(approx (/ (* p p) x) #s(hole binary64 (/ (pow p 2) x)))
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#s(approx (* (pow p 4) -12) #s(hole binary64 (* -12 (pow p 4))))
#s(approx (pow p 4) #s(hole binary64 (pow p 4)))
#s(approx (* p 1) #s(hole binary64 p))
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#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)))))
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#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)))))))
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#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
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#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)))
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#s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) #s(hole binary64 (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))))
#s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) #s(hole binary64 (* (pow p 3) (+ (* -3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow p 2))))))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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 (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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 (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (+ (* -1/4 (/ x p)) (* 1/2 (log 1/2)))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (/ (pow x 2) p)) (* 1/4 x)) p)) (* 1/2 (log 1/2)))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (+ (* -3/8 (pow x 3)) (* 1/4 (pow x 3))) p)) (* -1/16 (pow x 2))) p)) (* 1/4 x)) p)) (* 1/2 (log 1/2)))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (+ (log 1/2) (* -1/2 (/ x p)))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (+ (log 1/2) (* -1 (/ (+ (* 1/8 (/ (pow x 2) p)) (* 1/2 x)) p)))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (+ (log 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/8 (pow x 3)) (* 1/4 (pow x 3))) p)) (* -1/8 (pow x 2))) p)) (* 1/2 x)) p)))))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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) #s(hole binary64 (+ 1 (* -1/2 (/ x p)))))
#s(approx (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))))
#s(approx (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) #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 (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -2 p)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))))
#s(approx (* 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 (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) #s(hole binary64 (* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))))))))
#s(approx (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) #s(hole binary64 (* -1 (* (pow p 3) (- (* 3 (/ (sqrt 1/2) (* (pow x 3) (sqrt 2)))) (/ 1 (* (pow p 2) x)))))))
#s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) #s(hole binary64 (* -1 (* (pow p 3) (- (* 3 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow p 2)))))))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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 (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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 (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (+ (* 1/2 (log 1/2)) (* x (+ (* -1/16 (/ x (pow p 2))) (* 1/4 (/ 1 p)))))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (+ (* 1/2 (log 1/2)) (* x (+ (* x (- (* -1/96 (/ x (pow p 3))) (* 1/16 (/ 1 (pow p 2))))) (* 1/4 (/ 1 p)))))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (+ (log 1/2) (* x (+ (* -1/8 (/ x (pow p 2))) (* 1/2 (/ 1 p)))))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (+ (log 1/2) (* x (+ (* x (- (* -1/48 (/ x (pow p 3))) (* 1/8 (/ 1 (pow p 2))))) (* 1/2 (/ 1 p)))))))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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) #s(hole binary64 (+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))))
#s(approx (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) #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 (+ (* 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 x #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ (* 1/4 (/ (pow x 2) p)) (* 2 p))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))))
#s(approx (sqrt (* 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 (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 (+ (* (/ (* p p) x) 2) x) #s(hole binary64 (/ (+ (* 2 (pow p 2)) (pow x 2)) x)))
#s(approx (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) #s(hole binary64 (/ (- (* -1 (* p (pow x 2))) (* -3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2)))) (pow x 3))))
#s(approx (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) #s(hole binary64 (/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2))) (* p (pow x 2))) (pow x 3))))
#s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) #s(hole binary64 (/ (+ (* -3 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2))) (* p (pow x 2))) (pow x 2))))
#s(approx (* (* x x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (sqrt 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (/ (+ (* -1/2 (pow p 2)) (* 1/48 (/ (+ (* -12 (pow p 4)) (* -6 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2)))) (pow x 2))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (/ (+ (* -1/2 (pow p 2)) (+ (* 1/1440 (/ (+ (* -240 (pow p 6)) (+ (* -180 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -180 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))) (pow x 4))) (* 1/48 (/ (+ (* -12 (pow p 4)) (* -6 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2))))) (pow x 2))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (/ (+ (* -1/2 (pow p 2)) (+ (* 1/80640 (/ (+ (* -10080 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -10080 (* (pow p 4) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -10080 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (+ (* -10080 (pow p 8)) (* -1260 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)))))) (pow x 6))) (+ (* 1/1440 (/ (+ (* -240 (pow p 6)) (+ (* -180 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -180 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))) (pow x 4))) (* 1/48 (/ (+ (* -12 (pow p 4)) (* -6 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2)))))) (pow x 2))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (/ (+ (* -1 (pow p 2)) (* 1/24 (/ (+ (* -12 (pow p 4)) (* -6 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2)))) (pow x 2))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (/ (+ (* -1 (pow p 2)) (+ (* 1/720 (/ (+ (* -240 (pow p 6)) (+ (* -180 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -180 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))) (pow x 4))) (* 1/24 (/ (+ (* -12 (pow p 4)) (* -6 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2))))) (pow x 2))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (/ (+ (* -1 (pow p 2)) (+ (* 1/40320 (/ (+ (* -10080 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -10080 (* (pow p 4) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -10080 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (+ (* -10080 (pow p 8)) (* -1260 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)))))) (pow x 6))) (+ (* 1/720 (/ (+ (* -240 (pow p 6)) (+ (* -180 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -180 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))) (pow x 4))) (* 1/24 (/ (+ (* -12 (pow p 4)) (* -6 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2)))))) (pow x 2))))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))))
#s(approx (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) #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 (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) #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 (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))))
#s(approx (+ (* 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 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))))
#s(approx (+ (* (/ x p) 1/4) 1/2) #s(hole binary64 (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))))
#s(approx (+ 1 (/ 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 (+ (* (/ (* p p) x) 2) x) #s(hole binary64 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) #s(hole binary64 (/ (- (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) p) x)))
#s(approx (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) #s(hole binary64 (/ (+ p (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) x)))
#s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) #s(hole binary64 (+ p (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))))))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) #s(hole binary64 (* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) #s(hole binary64 (* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x))))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) #s(hole binary64 (* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (* 1/2 (+ (log (pow p 2)) (* 2 (log (/ -1 x)))))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 1/2 (+ (log (pow p 2)) (* 2 (log (/ -1 x))))))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (+ (* 1/48 (/ (+ (* -3/4 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 4))) (* 6 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2)))) (pow x 4))) (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 1/2 (+ (log (pow p 2)) (* 2 (log (/ -1 x)))))))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2) #s(hole binary64 (+ (* 1/1440 (/ (+ (* -45 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (pow p 4))) (+ (* 15/4 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 3) (pow p 6))) (* 180 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow p 2))))) (pow x 6))) (+ (* 1/48 (/ (+ (* -3/4 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 4))) (* 6 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2)))) (pow x 4))) (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 1/2 (+ (log (pow p 2)) (* 2 (log (/ -1 x))))))))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (+ (log (pow p 2)) (* 2 (log (/ -1 x))))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (+ (log (pow p 2)) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 2 (log (/ -1 x)))))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (+ (log (pow p 2)) (+ (* 1/24 (/ (+ (* -3/4 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 4))) (* 6 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2)))) (pow x 4))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 2 (log (/ -1 x))))))))
#s(approx (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) #s(hole binary64 (+ (log (pow p 2)) (+ (* 1/720 (/ (+ (* -45 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (pow p 4))) (+ (* 15/4 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 3) (pow p 6))) (* 180 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow p 2))))) (pow x 6))) (+ (* 1/24 (/ (+ (* -3/4 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 4))) (* 6 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2)))) (pow x 4))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 2) (pow x 2)))) (* 2 (log (/ -1 x)))))))))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))))
#s(approx (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) #s(hole binary64 (* 2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) #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 (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) #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 (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) #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 (+ (* x x) (* (* p 4) p)))) #s(hole binary64 -1))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 1)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x))))
#s(approx (* 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))))))))))
#s(approx (+ (* (/ (* p p) x) 2) x) #s(hole binary64 (* -1 (* x (- (* -2 (/ (pow p 2) (pow x 2))) 1)))))
#s(approx (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) #s(hole binary64 (* -1 (/ (- (* -3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* -1 p)) x))))
#s(approx (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) #s(hole binary64 (* -1 (/ (+ (* -1 p) (* 3 (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 2) (sqrt 2))))) x))))

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 (exp.f64 (+.f64 (log1p.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) (log.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
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#s(approx (sqrt (+ (* x x) (* (* p 4) p))) (.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 p p) (*.f64 x x)) #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 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x))) #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 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1 binary64))))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) (/.f64 (neg.f64 p) x))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (.f64 (/.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)) p) (neg.f64 x)))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (.f64 (/.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 #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 1/2 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) p)) x)))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (.f64 (/.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 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (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 1/2 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 #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 1/2 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 #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 1/2 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) p))) x)))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) (/.f64 (.f64 p p) (.f64 x x)))
#s(approx (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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 (+ (* x x) (* (* p 4) p)))) 1) 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 (+ (* x x) (* (* p 4) p)))) 1) 1/2) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (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) (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) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (/.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 (sqrt (+ (* x x) (* (* p 4) p)))) 1) (/.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 #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 1/2 binary64) (.f64 (.f64 p p) #s(literal 2 binary64)))) (*.f64 x x)))
#s(approx (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (pow.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (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) (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 #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 1/2 binary64) (.f64 (.f64 p p) #s(literal 2 binary64))))) (*.f64 x x)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(literal -1 binary64))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x)) #s(literal 1 binary64))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (-.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 (+ (* x x) (* (* p 4) p))) (neg.f64 x))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) (.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 p p) (*.f64 x x)) #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 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x))) #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 (.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 (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) (neg.f64 (/.f64 (fma.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)))) #s(literal -3 binary64) p) x)))
#s(approx (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) (neg.f64 (/.f64 (fma.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)))) #s(literal 3 binary64) (neg.f64 p)) x)))

eval64.0ms (1.4%)

Memory: -26.1MiB live, 110.1MiB allocated; 12ms collecting garbage
Compiler: Compiled 17 560 to 2 594 computations (85.2% saved)

prune33.0ms (0.7%)

Memory

-10.6MiB live, 47.1MiB allocated; 29ms collecting garbage

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	413	9	422
Fresh	3	10	13
Picked	1	4	5
Done	0	0	0
Total	417	23	440

Accuracy

93.2%

Counts

440 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.6%	(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))))
▶	47.7%	(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))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64)))))
▶	76.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 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))))))))))
	73.3%	(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)))))))
✓	73.9%	(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)))) (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))))))
	5.0%	(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)))))
✓	53.4%	(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))))
▶	52.9%	(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))))
	11.4%	(sqrt.f64 #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))))
	12.5%	(sqrt.f64 #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))))
	16.6%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
▶	57.3%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(approx (+ (* (/ x p) 1/4) 1/2) #s(literal 1/2 binary64))))
	76.6%	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x (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)))) (-.f64 #s(literal 1 binary64) (.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))) #s(literal 1/2 binary64)))
✓	76.6%	(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)))
	73.3%	(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 x (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
	11.8%	(exp.f64 (.f64 (log.f64 #s(approx ( (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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(literal 1/2 binary64)))
	15.9%	(exp.f64 (.f64 (log.f64 #s(approx ( (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2) (/.f64 (.f64 p p) (.f64 x x)))) #s(literal 1/2 binary64)))
	27.8%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 #s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (fma.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)))) #s(literal -3 binary64) p)) x)))
	28.3%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 #s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 (/.f64 (.f64 p p) (.f64 x x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) p)) x)))
	28.5%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 #s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) p) x)))
✓	32.5%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))
	22.7%	#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64)))

Compiler

Compiled 1 616 to 1 027 computations (36.4% saved)

series137.0ms (3%)

Memory

38.4MiB live, 128.3MiB allocated; 9ms collecting garbage

Counts

37 → 447

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

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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x p) 1/4) 1/2) #s(hole binary64 (* 1/4 (/ x p))))
#s(approx (+ (* (/ x p) 1/4) 1/2) #s(hole binary64 (/ (+ (* 1/4 x) (* 1/2 p)) p)))
#s(approx (+ (* -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 (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 (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))) #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 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))) #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) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))) #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 (/ (* (sqrt 1/2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (+ (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 108 (/ 1 (pow x 6)))) (+ (* -2 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))) (pow x 2))) (* -1 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (* (pow x 2) (pow (sqrt 2) 2)))))))) (sqrt 2))))))))))
#s(approx (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))))) #s(hole binary64 1))
#s(approx (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))))) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 1/2 (* (pow p 2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))))) (/ 1 (pow x 2)))))))
#s(approx (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* 1/2 (* (pow p 2) (- (+ (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 108 (/ 1 (pow x 6)))) (* -2 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))) (pow x 2)))))) (* 1/2 (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4))))))) (/ 1 (pow x 2)))))))
#s(approx (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))) #s(hole binary64 2))
#s(approx (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))) #s(hole binary64 (+ 2 (* -2 (/ (pow p 2) (pow x 2))))))
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#s(approx (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) #s(hole binary64 (* 1/2 (/ (+ (* 4 (pow p 2)) (* 8 (pow p 2))) (pow x 2)))))
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Calls

6 calls:

Time	Variable		Point	Expression
51.0ms	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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (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 (/ (+ (* 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 (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))) (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))))) (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))) (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 3 (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))
29.0ms	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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (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 (/ (+ (* 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 (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))) (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))))) (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))) (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 3 (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))
12.0ms	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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (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 (/ (+ (* 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 (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))) (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))))) (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))) (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 3 (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))
11.0ms	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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (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 (/ (+ (* 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 (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))) (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))))) (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))) (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 3 (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))
9.0ms	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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (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 (/ (+ (* 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 (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))) (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))))) (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))) (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) 3 (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))

rewrite260.0ms (5.6%)

Memory

15.8MiB live, 380.0MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2390	34134
0	2440	33568
0	8601	31656

Stop Event

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

Counts

484 → 516

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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(approx (+ (* (/ x p) 1/4) 1/2) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(approx (+ (* (/ x p) 1/4) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ x p) 1/4) 1/2) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #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)
(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)))
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#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 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 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 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 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 #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 #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)))
#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))
#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 (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))))))
(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)))))
#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))))))))
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#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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x p) 1/4) 1/2) #s(hole binary64 (* 1/4 (/ x p))))
#s(approx (+ (* (/ x p) 1/4) 1/2) #s(hole binary64 (/ (+ (* 1/4 x) (* 1/2 p)) p)))
#s(approx (+ (* -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 (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)))
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#s(approx (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 -1))
#s(approx (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (* 1 (/ 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 (* 1 (/ 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)))

Outputs
(pow.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))) #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))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64))))))
(+.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 (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 (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)))
(/.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 (.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) (.f64 (.f64 p #s(literal 4 binary64)) p)) (.f64 (.f64 x 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 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(+.f64 (.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)
(pow.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(approx (+ (* (/ x p) 1/4) 1/2) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(approx (+ (* (/ x p) 1/4) 1/2) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(approx (+ (* (/ x p) 1/4) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ x p) 1/4) 1/2) #s(literal 1/2 binary64))
(pow.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(literal 1/2 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (/.f64 x p)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 x p)) (.f64 #s(literal -1/4 binary64) (/.f64 x p)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.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))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x p)) #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
(/.f64 (neg.f64 x) (neg.f64 p))
(/.f64 x p)
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.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)))))
(pow.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(literal 1/2 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))) (.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 (neg.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)))) (neg.f64 (.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 (/.f64 (.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 (.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 (+.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.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 (.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))))))
(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 (.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))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 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))))))))))
(pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 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))))))))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 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 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 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 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)))) (neg.f64 (+.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 #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 #s(literal 1 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 (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 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 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) (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) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)))
#s(literal 1 binary64)
(.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)) (/.f64 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)))) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))))) #s(literal 3 binary64)))
#s(literal 3 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.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)))))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (-.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 (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 #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 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))) (.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))))))))
(-.f64 (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)))) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64))
(exp.f64 (.f64 (log.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)))))
#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))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (*.f64 x x)))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 p p) (-.f64 (.f64 #s(literal 11/8 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 p p) (-.f64 (.f64 (.f64 p p) (fma.f64 #s(literal -69/16 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 11/8 binary64) (pow.f64 x #s(literal -4 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 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)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p p) (*.f64 x x)))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 p p) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 p p) (-.f64 (.f64 (.f64 p p) (fma.f64 #s(literal -10 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -4 binary64))))) (pow.f64 x #s(literal -2 binary64))))))
#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 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p p) (*.f64 x x)))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 p p) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 p p) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal -2 binary64))))))
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#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(literal 1 binary64))
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#s(approx (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p))))
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#s(approx (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) p) (.f64 #s(literal 1/4 binary64) (.f64 x x))) p)) (*.f64 #s(literal 1/2 binary64) x)) p))))
#s(approx (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
#s(approx (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) p)) (.f64 #s(literal 1/2 binary64) x)) p)))
#s(approx (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) p) (.f64 #s(literal 1/4 binary64) (.f64 x x))) p)) (*.f64 #s(literal 1/2 binary64) x)) p)))
#s(approx (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) p)) (.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64)))) p) (.f64 #s(literal 1/4 binary64) (.f64 x x))) p)) (*.f64 #s(literal 1/2 binary64) x)) p)))
#s(approx (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (*.f64 #s(literal -1/2 binary64) (/.f64 x p)))
#s(approx (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 p p)) (*.f64 #s(literal 1/2 binary64) x)) p)))
#s(approx (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 p p)) (*.f64 #s(literal 1/2 binary64) x))) p)))
#s(approx (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x (fma.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 6 binary64))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 p p)) (.f64 #s(literal 1/2 binary64) x)))) p)))
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#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal -1 binary64)))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/32 binary64) (pow.f64 p #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal -1 binary64)))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal -1 binary64))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (.f64 x (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/32 binary64) (pow.f64 p #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal -1 binary64))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (.f64 x (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -5/4096 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 7 binary64))) (.f64 #s(literal 3/512 binary64) (pow.f64 p #s(literal -5 binary64))))) (.f64 #s(literal 1/32 binary64) (pow.f64 p #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal -1 binary64))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal -1 binary64))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (.f64 x (fma.f64 (.f64 x x) (-.f64 (.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 #s(literal 1/2 binary64) (pow.f64 p #s(literal -1 binary64))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (.f64 x (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -5/2048 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 7 binary64))) (.f64 #s(literal 3/256 binary64) (pow.f64 p #s(literal -5 binary64))))) (.f64 #s(literal 1/16 binary64) (pow.f64 p #s(literal -3 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal -1 binary64))))))
#s(approx x x)
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) p) (.f64 #s(literal 2 binary64) p)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 #s(literal 2 binary64) p (.f64 (.f64 x x) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 3 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal -1 binary64)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 #s(literal 2 binary64) p (.f64 (.f64 x x) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/64 binary64) (pow.f64 p #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal -1 binary64)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p p)) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 p p)) (.f64 #s(literal -3/128 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64))))))))))
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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)))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 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 1/4 binary64) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (/.f64 x p)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (fma.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 p #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 p #s(literal -2 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 p #s(literal -2 binary64)))))))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (fma.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 p #s(literal -1 binary64))) (.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 p #s(literal -3 binary64))) (.f64 #s(literal -1/64 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 p #s(literal -3 binary64)))))) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 p #s(literal -2 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 p #s(literal -2 binary64))))))))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
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#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) (-.f64 (.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 #s(literal 1/2 binary64) (pow.f64 p #s(literal -1 binary64)))))))
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#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) p) (.f64 #s(literal 4 binary64) p)))
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#s(approx (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p)))) (fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p)))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) (*.f64 x x))))) #s(literal 1 binary64)))
#s(approx (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) #s(literal 3 binary64))
#s(approx (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 p p) (.f64 #s(literal 4 binary64) (.f64 p p))) (*.f64 x x)))))
#s(approx (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (-.f64 (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) (.f64 #s(literal 4 binary64) (/.f64 (.f64 p p) (.f64 x x))))))
#s(approx (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (-.f64 (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) (.f64 #s(literal 4 binary64) (/.f64 (.f64 p p) (.f64 x x))))))))
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#s(approx (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(literal -1 binary64))
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#s(approx (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)))) #s(literal 1 binary64)))
#s(approx (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x))))) #s(literal 1 binary64)))

eval130.0ms (2.8%)

Memory: 1.8MiB live, 236.7MiB allocated; 26ms collecting garbage
Compiler: Compiled 58 857 to 4 801 computations (91.8% saved)

prune43.0ms (0.9%)

Memory

5.3MiB live, 58.6MiB allocated; 28ms collecting garbage

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	858	11	869
Fresh	10	4	14
Picked	1	4	5
Done	0	4	4
Total	869	23	892

Accuracy

95.1%

Counts

892 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.6%	(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))))
	6.2%	(sqrt.f64 (+.f64 #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)))))
	5.0%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(literal -1/2 binary64))))
✓	47.7%	(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))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64)))))
▶	76.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 x (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))))) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))))))))))
	62.4%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (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))))))))))
	11.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ ( x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64)))))
	11.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ ( x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 8 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 8 binary64)))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))))) x))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64)))))
	14.7%	(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) (/.f64 (.f64 p p) x))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64)))))
▶	2.2%	(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)))))
✓	73.9%	(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))))))
▶	16.6%	(sqrt.f64 #s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (/.f64 (.f64 p p) (.f64 x x))))
	11.4%	(sqrt.f64 #s(approx (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))))) (/.f64 (fma.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -64 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p)))) (fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p)))) (fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p)))) (fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p)))) (fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p)))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p)))))))))) (fma.f64 #s(literal -1/3 binary64) (.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (-.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))))) (.f64 #s(literal -1/18 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 p p) (.f64 #s(literal 4 binary64) (.f64 p p))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))))))) (fma.f64 #s(literal -1/3 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 p p) (.f64 #s(literal 4 binary64) (.f64 p p))) (-.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p)))) (fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p)))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))))) (fma.f64 #s(literal -1/3 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 p p) (.f64 #s(literal 4 binary64) (.f64 p p))) (-.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))))) (.f64 #s(literal -1/18 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 p p) (.f64 #s(literal 4 binary64) (.f64 p p))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))))))) (.f64 #s(literal -1/18 binary64) (.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p)))))))) (.f64 #s(literal -1/18 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p)))))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p)))) (fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p)))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))))) (fma.f64 #s(literal -1/3 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 p p) (.f64 #s(literal 4 binary64) (.f64 p p))) (-.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))))) (.f64 #s(literal -1/18 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 p p) (.f64 #s(literal 4 binary64) (.f64 p p))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))))))) (.f64 #s(literal -1/18 binary64) (.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))))))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))))) (.f64 #s(literal -1/18 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 p p) (.f64 #s(literal 4 binary64) (.f64 p p))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p)))))) (.f64 x x)))))) (*.f64 x x))))
✓	53.4%	(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))))
✓	52.9%	(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))))
✓	57.3%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(approx (+ (* (/ x p) 1/4) 1/2) #s(literal 1/2 binary64))))
✓	76.6%	(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)))
	18.5%	#s(approx (sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))) (.f64 #s(literal -1 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 1/12 binary64)) x) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (*.f64 p p)))))))
▶	27.8%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 #s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (fma.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)))) #s(literal -3 binary64) p)) x)))
	28.3%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 #s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 (/.f64 (.f64 p p) (.f64 x x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) p)) x)))
▶	28.5%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 #s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) p) x)))
✓	32.5%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))
	22.7%	#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64)))

Compiler

Compiled 3 590 to 1 179 computations (67.2% saved)

series78.0ms (1.7%)

Memory

-15.5MiB live, 75.9MiB allocated; 6ms collecting garbage

Counts

49 → 433

Calls

Call 1

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

Outputs
#s(approx (sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))) #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 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))) #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) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))) #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 (/ (* (sqrt 1/2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (+ (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 108 (/ 1 (pow x 6)))) (+ (* -2 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))) (pow x 2))) (* -1 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (+ (* 24 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (* (pow x 2) (pow (sqrt 2) 2)))))))) (sqrt 2))))))))))
#s(approx (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))))) #s(hole binary64 1))
#s(approx (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))))) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 1/2 (* (pow p 2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))))) (/ 1 (pow x 2)))))))
#s(approx (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* 1/2 (* (pow p 2) (- (+ (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 108 (/ 1 (pow x 6)))) (* -2 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))) (pow x 2)))))) (* 1/2 (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4))))))) (/ 1 (pow x 2)))))))
#s(approx (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))) #s(hole binary64 2))
#s(approx (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))) #s(hole binary64 (+ 2 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))) #s(hole binary64 (+ 2 (* (pow p 2) (- (* (pow p 2) (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))) #s(hole binary64 (+ 2 (* (pow p 2) (- (* (pow p 2) (- (+ (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* (pow p 2) (- (+ (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12)))))))) (* 108 (/ 1 (pow x 6)))) (* -2 (/ (- (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))) (* 24 (/ 1 (pow x 4)))) (pow x 2)))))) (* 24 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) #s(hole binary64 2))
#s(approx (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) #s(hole binary64 (+ 2 (* -6 (/ (pow p 2) (pow x 2))))))
#s(approx (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) #s(hole binary64 (+ 2 (* (pow p 2) (- (* -1/2 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10))))))) (* 6 (/ 1 (pow x 2))))))))
#s(approx (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) #s(hole binary64 (+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -1/2 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12))))))))) (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))))) (* 6 (/ 1 (pow x 2))))))))
#s(approx (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) #s(hole binary64 1))
#s(approx (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) #s(hole binary64 (+ 1 (* -6 (/ (pow p 2) (pow x 2))))))
#s(approx (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) #s(hole binary64 (+ 1 (* (pow p 2) (- (* -1/2 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10))))))) (* 6 (/ 1 (pow x 2))))))))
#s(approx (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -1/2 (* (pow p 2) (* (pow x 6) (+ (* -12 (/ (+ (* 16 (pow x 2)) (* 32 (pow x 2))) (pow x 14))) (+ (* -1 (/ (* (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 48 (/ 1 (pow x 10)))) (+ (* 4 (pow x 4)) (* 8 (pow x 4)))) (pow x 6))) (+ (* 6 (/ (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))) (pow x 2))) (* 64 (/ 1 (pow x 12))))))))) (* -1/2 (* (pow x 6) (+ (* -12 (/ (+ (* 4 (pow x 4)) (* 8 (pow x 4))) (pow x 14))) (* 84 (/ 1 (pow x 10)))))))) (* 6 (/ 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 (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) #s(hole binary64 1))
#s(approx (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 10 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -44 (/ (pow p 2) (pow x 6))) (* 10 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* -2 (/ (pow p 2) (pow x 2)))))
#s(approx (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* (pow p 2) (- (* 10 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* (pow p 2) (- (* (pow p 2) (+ (* -44 (/ (pow p 2) (pow x 6))) (* 10 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 186 (/ (pow p 2) (pow x 8))) (* 44 (/ 1 (pow x 6))))) (* 10 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 1))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (+ 1 (* -4 (/ (pow p 2) (pow x 2))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))))))
#s(approx (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 1))
#s(approx (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (* 1 (/ 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 (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))))
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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 (+ 1/2 (* 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)))))))
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#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)))))))))
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#s(approx (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 -1))
#s(approx (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (* 1 (/ 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)))
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#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (* -1 (/ p x))))
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Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))) (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))))) 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))) (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) (/ 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 3 (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (/ (* p p) (* x x)) (* 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))) (/ (+ (* 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)) (* -4 p) -4 (* (sqrt (+ (* x x) (* (* p 4) p))) 2) 2 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (+ (* (* (pow p 3) (/ (sqrt 1/2) (* (sqrt 2) (* x x)))) -3) p) (* (pow p 3) (/ (sqrt 1/2) (* (sqrt 2) (* x x)))) (pow p 3) (/ (sqrt 1/2) (* (sqrt 2) (* x x))) (sqrt 1/2) (* (sqrt 2) (* x x)) (sqrt 2) -3)
7.0ms	p	@	inf	((sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))) (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))))) 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))) (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) (/ 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 3 (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (/ (* p p) (* x x)) (* 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))) (/ (+ (* 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)) (* -4 p) -4 (* (sqrt (+ (* x x) (* (* p 4) p))) 2) 2 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (+ (* (* (pow p 3) (/ (sqrt 1/2) (* (sqrt 2) (* x x)))) -3) p) (* (pow p 3) (/ (sqrt 1/2) (* (sqrt 2) (* x x)))) (pow p 3) (/ (sqrt 1/2) (* (sqrt 2) (* x x))) (sqrt 1/2) (* (sqrt 2) (* x x)) (sqrt 2) -3)
6.0ms	x	@	inf	((sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))) (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))))) 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))) (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) (/ 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 3 (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (/ (* p p) (* x x)) (* 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))) (/ (+ (* 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)) (* -4 p) -4 (* (sqrt (+ (* x x) (* (* p 4) p))) 2) 2 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (+ (* (* (pow p 3) (/ (sqrt 1/2) (* (sqrt 2) (* x x)))) -3) p) (* (pow p 3) (/ (sqrt 1/2) (* (sqrt 2) (* x x)))) (pow p 3) (/ (sqrt 1/2) (* (sqrt 2) (* x x))) (sqrt 1/2) (* (sqrt 2) (* x x)) (sqrt 2) -3)
6.0ms	p	@	-inf	((sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))) (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))))) 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))) (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) (/ 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 3 (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (/ (* p p) (* x x)) (* 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))) (/ (+ (* 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)) (* -4 p) -4 (* (sqrt (+ (* x x) (* (* p 4) p))) 2) 2 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (+ (* (* (pow p 3) (/ (sqrt 1/2) (* (sqrt 2) (* x x)))) -3) p) (* (pow p 3) (/ (sqrt 1/2) (* (sqrt 2) (* x x)))) (pow p 3) (/ (sqrt 1/2) (* (sqrt 2) (* x x))) (sqrt 1/2) (* (sqrt 2) (* x x)) (sqrt 2) -3)
6.0ms	p	@	0	((sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))) (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))))) 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))) (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3) (/ 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 3 (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (/ (* p p) (* x x)) (* 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))) (/ (+ (* 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)) (* -4 p) -4 (* (sqrt (+ (* x x) (* (* p 4) p))) 2) 2 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (+ (* (* (pow p 3) (/ (sqrt 1/2) (* (sqrt 2) (* x x)))) -3) p) (* (pow p 3) (/ (sqrt 1/2) (* (sqrt 2) (* x x)))) (pow p 3) (/ (sqrt 1/2) (* (sqrt 2) (* x x))) (sqrt 1/2) (* (sqrt 2) (* x x)) (sqrt 2) -3)

rewrite262.0ms (5.6%)

Memory

38.0MiB live, 403.8MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2417	35161
0	2470	33397
0	8672	31462

Stop Event

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

Counts

482 → 527

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 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))))))))))
(pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 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))))))))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 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 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 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)))))))))
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)))) (neg.f64 (+.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 #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 #s(literal 1 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 (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 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 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) (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) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64)))
#s(literal 1 binary64)
(.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)) (/.f64 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)))) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 2 binary64)))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))))) #s(literal 3 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 (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)))
(/.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 (.f64 (.f64 (.f64 p #s(literal 4 binary64)) p) (.f64 (.f64 p #s(literal 4 binary64)) p)) (.f64 (.f64 x 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 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(+.f64 (.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
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#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal -1 binary64))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (.f64 x (fma.f64 (.f64 x x) (-.f64 (.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 #s(literal 1/2 binary64) (pow.f64 p #s(literal -1 binary64))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (.f64 x (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -5/2048 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 7 binary64))) (.f64 #s(literal 3/256 binary64) (pow.f64 p #s(literal -5 binary64))))) (.f64 #s(literal 1/16 binary64) (pow.f64 p #s(literal -3 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal -1 binary64))))))
#s(approx x x)
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) p) (.f64 #s(literal 2 binary64) p)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 #s(literal 2 binary64) p (.f64 (.f64 x x) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 3 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal -1 binary64)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 #s(literal 2 binary64) p (.f64 (.f64 x x) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/64 binary64) (pow.f64 p #s(literal -3 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal -1 binary64)))))))
#s(approx (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x (.f64 p p))) (.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal -1 binary64)))))))
#s(approx (+ 1 (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 p #s(literal 3 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal -2 binary64))))) (.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal -1 binary64)))))))
#s(approx (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x (.f64 p p))) (.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal -1 binary64))))))
#s(approx (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 p #s(literal 3 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal -2 binary64))))) (.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal -1 binary64))))))
#s(approx (- (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (.f64 x (-.f64 (.f64 x (fma.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 x (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 1/16 binary64) (pow.f64 p #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal -2 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal -1 binary64))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (.f64 (.f64 x x) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal -2 binary64))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 6 binary64)))) (.f64 #s(literal 1/16 binary64) (pow.f64 p #s(literal -4 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal -2 binary64))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/256 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 8 binary64))) (.f64 #s(literal 1/64 binary64) (pow.f64 p #s(literal -6 binary64))))) (.f64 #s(literal 1/16 binary64) (pow.f64 p #s(literal -4 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal -2 binary64))))))
#s(approx (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal -1 binary64))))))
#s(approx (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (.f64 x (fma.f64 (.f64 x x) (-.f64 (.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 #s(literal 1/2 binary64) (pow.f64 p #s(literal -1 binary64))))))
#s(approx (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (.f64 x (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -5/2048 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 7 binary64))) (.f64 #s(literal 3/256 binary64) (pow.f64 p #s(literal -5 binary64))))) (.f64 #s(literal 1/16 binary64) (pow.f64 p #s(literal -3 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal -1 binary64))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p p)) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 p p)) (.f64 #s(literal -3/128 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64))))))))))
#s(approx (neg (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x)) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 p (.f64 x x))) (.f64 #s(literal -3 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) x) (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 p (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 p (.f64 x x))) (.f64 x x)))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal -1/128 binary64) (/.f64 x (.f64 (.f64 p p) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))) (.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (.f64 #s(literal 1/32 binary64) (pow.f64 p #s(literal -3 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/128 binary64) (pow.f64 (.f64 (.f64 p p) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) #s(literal -1 binary64)))) (.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal -1 binary64)))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/32 binary64) (pow.f64 p #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal -1 binary64)))))))
#s(approx (* x x) (*.f64 x x))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 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 1/4 binary64) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (/.f64 x p)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (fma.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 p #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 p #s(literal -2 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 p #s(literal -2 binary64)))))))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (fma.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 p #s(literal -1 binary64))) (.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 p #s(literal -3 binary64))) (.f64 #s(literal -1/64 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 p #s(literal -3 binary64)))))) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 p #s(literal -2 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 p #s(literal -2 binary64))))))))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal -1 binary64)))))))
#s(approx (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 3/512 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/32 binary64) (pow.f64 p #s(literal -3 binary64)))) (.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal -1 binary64)))))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal -1 binary64)))))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) (-.f64 (.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 #s(literal 1/2 binary64) (pow.f64 p #s(literal -1 binary64)))))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 4 binary64) p)))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (fma.f64 #s(literal 4 binary64) p (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x p))))))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (fma.f64 #s(literal 4 binary64) p (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal -1 binary64)))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) p) (.f64 #s(literal 4 binary64) p)))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (fma.f64 #s(literal 4 binary64) p (.f64 (.f64 x x) (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal -1 binary64)))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (fma.f64 #s(literal 4 binary64) p (.f64 (.f64 x x) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/256 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 5 binary64)))) (.f64 #s(literal 1/32 binary64) (pow.f64 p #s(literal -3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal -1 binary64)))))))
#s(approx (+ (* (* (pow p 3) (/ (sqrt 1/2) (* (sqrt 2) (* x x)))) -3) p) (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 p (.f64 x x))) (.f64 x x)))
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#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p (*.f64 x x))))) x)))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (fma.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p (.f64 x x))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 p p)))) (.f64 p (pow.f64 x #s(literal 4 binary64))))))) x)))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (fma.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 p (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))))))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (-.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 p p))))) (.f64 p p)))) (.f64 p (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 p p)))) (.f64 p (pow.f64 x #s(literal 4 binary64)))))))) x)))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (*.f64 (/.f64 p x) (/.f64 p x)))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 x x)) (.f64 p p)) (.f64 x x)))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 x x)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 p p))) (.f64 x x)))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 x x)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 p p)))) (.f64 x x)))
#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (*.f64 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.f64 p x) (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 -1 binary64) (/.f64 p x) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 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 -1 binary64) (/.f64 p x) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 p #s(literal 3 binary64)) (/.f64 (.f64 p (fma.f64 #s(literal 1/96 binary64) (fma.f64 #s(literal -192 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 384 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 x x))) (pow.f64 x #s(literal 3 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 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 x x)) (.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 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 x x)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 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 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 8 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 8 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 8 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 x x)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 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 #s(literal 2 binary64) (.f64 (/.f64 p x) (/.f64 p x))))
#s(approx (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 x x)) (.f64 #s(literal 2 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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 2 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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 8 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 8 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 8 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 p p))))) (*.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)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 p p))) x)))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x)))
#s(approx (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 8 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 8 binary64)))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #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 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 (/.f64 p x) (/.f64 p x)))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (.f64 (/.f64 p x) (/.f64 p x))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 (/.f64 p x) (/.f64 p x)) (.f64 #s(literal 8 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))))))

eval130.0ms (2.8%)

Memory: -11.6MiB live, 221.9MiB allocated; 28ms collecting garbage
Compiler: Compiled 66 543 to 4 961 computations (92.5% saved)

prune66.0ms (1.4%)

Memory

20.2MiB live, 118.1MiB allocated; 33ms collecting garbage

Pruning

22 alts after pruning (12 fresh and 10 done)

	Pruned	Kept	Total
New	823	5	828
Fresh	3	7	10
Picked	3	2	5
Done	0	8	8
Total	829	22	851

Accuracy

96.9%

Counts

851 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.6%	(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))))
	6.2%	(sqrt.f64 (+.f64 #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)))))
	5.0%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(literal -1/2 binary64))))
✓	47.7%	(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))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64)))))
	76.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 x x) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))))))))
	62.4%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 x (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))))) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))))))))))
	11.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ ( x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64)))))
	11.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ ( x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 8 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 8 binary64)))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))))) x))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64)))))
	4.3%	(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)) #s(approx ( (sqrt (+ (* x x) (* (* p 4) p))) 2) (*.f64 #s(literal -2 binary64) x)))))
✓	73.9%	(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))))))
✓	16.6%	(sqrt.f64 #s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (/.f64 (.f64 p p) (.f64 x x))))
	19.5%	(sqrt.f64 #s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (*.f64 (/.f64 p x) (/.f64 p x))))
	11.4%	(sqrt.f64 #s(approx (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p))))))))) (/.f64 (fma.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -64 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p)))) (fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) 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#s(literal -1/18 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 p p) (.f64 #s(literal 4 binary64) (.f64 p p))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))))))) (.f64 #s(literal -1/18 binary64) (.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))))))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 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✓	53.4%	(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))))
✓	52.9%	(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))))
✓	57.3%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(approx (+ (* (/ x p) 1/4) 1/2) #s(literal 1/2 binary64))))
✓	76.6%	(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)))
	18.5%	#s(approx (sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))) (.f64 #s(literal -1 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 1/12 binary64)) x) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (*.f64 p p)))))))
	27.8%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 #s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (fma.f64 (.f64 (.f64 (.f64 p p) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)))) #s(literal -3 binary64) p)) x)))
✓	28.5%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 #s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) p) x)))
✓	32.5%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))
	22.7%	#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 1/2)) 1/2)) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64)))

Compiler

Compiled 4 560 to 1 007 computations (77.9% saved)

regimes123.0ms (2.6%)

Memory

-38.4MiB live, 104.7MiB allocated; 21ms collecting garbage

Counts

44 → 2

Calls

Call 1

Inputs
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(approx (+ (* (/ x p) 1/4) 1/2) #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 #s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) 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 (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
(sqrt.f64 #s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ ( x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (.f64 #s(literal -4 binary64) p)) #s(approx ( (sqrt (+ (* x x) (* (* p 4) p))) 2) (*.f64 #s(literal -2 binary64) x)))))
(sqrt.f64 #s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (*.f64 (/.f64 p x) (/.f64 p x))))
(sqrt.f64 (+.f64 #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)))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #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))))))
(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 (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)))))))
#s(approx (sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 2) (* 1 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))) (.f64 #s(literal -1 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 1/12 binary64)) x) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (*.f64 p p)))))))
(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)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 #s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (fma.f64 (.f64 (.f64 (.f64 p p) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)))) #s(literal -3 binary64) p)) 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) (/.f64 (.f64 p p) x))) (.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 #s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 (/.f64 (.f64 p p) (.f64 x x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) p)) x)))
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binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64)))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p)))) (.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))))) (fma.f64 #s(literal -1/3 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 p p) (.f64 #s(literal 4 binary64) (.f64 p p))) (-.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))))) (.f64 #s(literal -1/18 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 p p) (.f64 #s(literal 4 binary64) (.f64 p p))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))))))) (.f64 #s(literal -1/18 binary64) (.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))))))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 4 binary64))))))) (.f64 #s(literal -1/18 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 p p) (.f64 #s(literal 4 binary64) (.f64 p p))) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (.f64 p p)))))) (.f64 x x)))))) (*.f64 x x))))

Outputs

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

(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)))

Calls

7 calls:

44.0ms	(.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))))))
15.0ms	x
11.0ms	p
10.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
9.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))

Results

Accuracy	Segments	Branch
76.6%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
99.9%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.9%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.9%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
78.7%	2	`p`
80.5%	2	`x`

Compiler

Compiled 66 to 56 computations (15.2% saved)

regimes29.0ms (0.6%)

Memory

7.7MiB live, 52.3MiB allocated; 5ms collecting garbage

Counts

29 → 2

Calls

Call 1

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

Outputs

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

(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))))

Calls

4 calls:

9.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
6.0ms	(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)))))))
6.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
6.0ms	(.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
99.9%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.9%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.9%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes22.0ms (0.5%)

Memory

-0.5MiB live, 45.7MiB allocated; 2ms collecting garbage

Counts

23 → 2

Calls

Call 1

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

Outputs

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

(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))))

Calls

4 calls:

6.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
5.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
5.0ms	(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)))))))
5.0ms	(.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%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.8%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.8%	2	`(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 (0.3%)

Memory

36.2MiB live, 36.2MiB allocated; 0ms collecting garbage

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

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

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes18.0ms (0.4%)

Memory

-1.8MiB live, 42.1MiB allocated; 4ms collecting garbage

Counts

16 → 3

Calls

Call 1

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

Outputs

#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 #s(approx (+ (* (* (/ (sqrt 1/2) p) (/ (* (pow p 4) -12) (* (* x x) (sqrt 2)))) 1/4) (* p 1)) 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 (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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:

7.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
4.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
4.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
3.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))

Results

Accuracy	Segments	Branch
99.1%	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)

regimes13.0ms (0.3%)

Memory

-29.7MiB live, 24.4MiB allocated; 5ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

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

#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1) 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:

6.0ms	(+.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
98.7%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
98.7%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.7%	3	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
98.7%	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

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

Results

Accuracy	Segments	Branch
98.5%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
98.5%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.5%	3	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
98.5%	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)

regimes11.0ms (0.2%)

Memory

-22.7MiB live, 23.6MiB allocated; 2ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

2.0ms	p
1.0ms	x
1.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
1.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
1.0ms	(.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
69.8%	2	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
69.8%	2	`p`
61.2%	2	`x`
73.6%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
73.6%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
73.6%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
73.6%	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)

regimes7.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB allocated; 0ms collecting garbage

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 (.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
32.5%	1	`x`
32.5%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
32.5%	1	`p`
32.5%	1	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
32.5%	1	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
32.5%	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))))))`
32.5%	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

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.3857130311434755e-7	0.004657518234449458

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.3857130311434755e-7	0.004657518234449458

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.3857130311434755e-7	0.004657518234449458

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06504766791769856	0.7071034457390839

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.8182599671152102	0.9999999932533472
0.0ms	0.06504766791769856	0.7071034457390839

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.8182599671152102	0.9999999932533472
0.0ms	0.06504766791769856	0.7071034457390839

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.8182599671152102	0.9999999932533472
0.0ms	0.06504766791769856	0.7071034457390839

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 20 to 19 computations (5% saved)

end0.0ms (0%)

Memory

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

Steps

Time	Left	Right
0.0ms	0.8182599671152102	0.9999999932533472

start0.0ms (0%)

analyze369.0ms (7.9%)

sample1.9s (40.7%)

explain225.0ms (4.9%)

preprocess79.0ms (1.7%)

series25.0ms (0.5%)

rewrite232.0ms (5%)

eval31.0ms (0.7%)

prune15.0ms (0.3%)

series85.0ms (1.8%)

rewrite233.0ms (5%)

eval64.0ms (1.4%)

prune33.0ms (0.7%)

series137.0ms (3%)

rewrite260.0ms (5.6%)

eval130.0ms (2.8%)

prune43.0ms (0.9%)

series78.0ms (1.7%)

rewrite262.0ms (5.6%)

eval130.0ms (2.8%)

prune66.0ms (1.4%)

regimes123.0ms (2.6%)

regimes29.0ms (0.6%)

regimes22.0ms (0.5%)

regimes16.0ms (0.3%)

regimes18.0ms (0.4%)

regimes13.0ms (0.3%)

regimes8.0ms (0.2%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

end0.0ms (0%)

Profiling