Metrics for Given's Rotation SVD example

start0.0ms (0%)

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

analyze459.0ms (9.5%)

Memory

-42.4MiB live, 740.3MiB allocated; 218ms 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)

sample1.7s (34.4%)

Memory

66.2MiB live, 2 344.0MiB allocated; 380ms collecting garbage

Samples

578.0ms	6 188×	0	valid
305.0ms	1 008×	2	valid
244.0ms	459×	3	valid
119.0ms	601×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 976.0ms

ival-mult: 328.0ms (33.6% of total)

ival-sqrt: 199.0ms (20.4% of total)

adjust: 185.0ms (19% of total)

ival-add: 123.0ms (12.6% of total)

ival-div: 109.0ms (11.2% of total)

exact: 13.0ms (1.3% of total)

const: 10.0ms (1% of total)

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

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

ival-<: 2.0ms (0.2% of total)

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

Bogosity

explain205.0ms (4.2%)

Memory

3.9MiB live, 329.5MiB allocated; 30ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
53	-	0	-	`(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))`
39	-	0	-	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
35	-	1	(-5.233642692926539e-27 -1.267187626563582e+133)	`(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	53	0
↳	`(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))`	overflow	53
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	overflow	53
`+.f64`	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	cancellation	39	0
`sqrt.f64`	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`	uflow-rescue	34	0
↳	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`	underflow	5
↳	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`	underflow	39
↳	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`	underflow	39
↳	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`	underflow	11
↳	`(.f64 (.f64 #s(literal 4 binary64) p) p)`	underflow	67

Confusion

	Predicted +	Predicted -
+	73	0
-	53	130

Precision

0.5793650793650794

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	73	0	0
-	53	0	130

Precision?

0.5793650793650794

Recall?

1.0

Freqs

test

number	freq
0	130
1	126

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms	356×	0	valid
27.0ms	88×	2	valid
11.0ms	30×	3	valid
7.0ms	38×	1	valid

Compiler

Compiled 209 to 46 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 17.0ms (30.9% of total)

ival-sqrt: 15.0ms (27.3% of total)

adjust: 8.0ms (14.6% of total)

ival-add: 8.0ms (14.6% of total)

ival-div: 6.0ms (10.9% of total)

exact: 1.0ms (1.8% of total)

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

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

preprocess228.0ms (4.7%)

Memory

25.0MiB live, 205.0MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	106
1	107	104
2	278	104
3	649	104
4	1876	104
5	7554	104
0	14	17
0	23	17
1	44	17
2	108	17
3	271	17
4	865	17
5	4673	17
0	8739	11

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs p)

Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Compiler

Compiled 17 to 14 computations (17.6% saved)

series88.0ms (1.8%)

Memory

-21.5MiB live, 68.9MiB allocated; 104ms 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
66.0ms	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))
6.0ms	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))

rewrite239.0ms (4.9%)

Memory

3.3MiB live, 234.0MiB allocated; 58ms 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)))))
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(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 p #s(literal 4 binary64)) p))
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#s(approx (* 1/2 (+ 1 (/ x (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 3/512 binary64) (.f64 #s(literal -1/32 binary64) (pow.f64 p #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 p #s(literal 3 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p)) x #s(literal 1 binary64)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/256 binary64) (/.f64 (.f64 x x) (pow.f64 p #s(literal 5 binary64))) (.f64 #s(literal -1/16 binary64) (pow.f64 p #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) p)) x #s(literal 1 binary64)))
#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))))

eval41.0ms (0.8%)

Memory: 0.6MiB live, 45.3MiB allocated; 8ms collecting garbage
Compiler: Compiled 6 003 to 1 145 computations (80.9% saved)

prune17.0ms (0.4%)

Memory

-14.2MiB live, 30.2MiB allocated; 6ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	177	13	190
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	178	13	191

Accuracy

99.9%

Counts

191 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.7%	(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))))
▶	53.0%	(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)))))
	69.7%	(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))))))
	7.3%	(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))))))
	6.2%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)))))
▶	45.6%	(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))))
	18.2%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
	50.1%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
▶	45.7%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
	26.5%	#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)))
	31.6%	#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)))
	32.4%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (*.f64 p (pow.f64 x #s(literal -1 binary64)))))
▶	34.9%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))

Compiler

Compiled 662 to 496 computations (25.1% saved)

series67.0ms (1.4%)

Memory

4.6MiB live, 107.9MiB allocated; 21ms collecting garbage

Counts

30 → 271

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

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

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	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 (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))))))) (+ (* (/ (* (sqrt 1/2) x) p) 1/4) (sqrt 1/2)) (/ (* (sqrt 1/2) x) p) (* (sqrt 1/2) x) (sqrt 1/2) (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) 2 (* (sqrt (+ (* x x) (* (* p 4) p))) 2))
12.0ms	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 (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))))))) (+ (* (/ (* (sqrt 1/2) x) p) 1/4) (sqrt 1/2)) (/ (* (sqrt 1/2) x) p) (* (sqrt 1/2) x) (sqrt 1/2) (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) 2 (* (sqrt (+ (* x x) (* (* p 4) p))) 2))
11.0ms	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 (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))))))) (+ (* (/ (* (sqrt 1/2) x) p) 1/4) (sqrt 1/2)) (/ (* (sqrt 1/2) x) p) (* (sqrt 1/2) x) (sqrt 1/2) (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) 2 (* (sqrt (+ (* x x) (* (* p 4) p))) 2))
9.0ms	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 (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))))))) (+ (* (/ (* (sqrt 1/2) x) p) 1/4) (sqrt 1/2)) (/ (* (sqrt 1/2) x) p) (* (sqrt 1/2) x) (sqrt 1/2) (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) 2 (* (sqrt (+ (* x x) (* (* p 4) p))) 2))
7.0ms	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 (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))))))) (+ (* (/ (* (sqrt 1/2) x) p) 1/4) (sqrt 1/2)) (/ (* (sqrt 1/2) x) p) (* (sqrt 1/2) x) (sqrt 1/2) (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) 2 (* (sqrt (+ (* x x) (* (* p 4) p))) 2))

rewrite187.0ms (3.9%)

Memory

-9.3MiB live, 266.9MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1398	13069
0	1433	11610
0	8098	11089

Stop Event

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

Counts

301 → 348

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

eval74.0ms (1.5%)

Memory: 5.8MiB live, 159.7MiB allocated; 28ms collecting garbage
Compiler: Compiled 20 855 to 2 383 computations (88.6% saved)

prune16.0ms (0.3%)

Memory

-0.9MiB live, 46.4MiB allocated; 1ms collecting garbage

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	494	9	503
Fresh	8	0	8
Picked	2	3	5
Done	0	0	0
Total	504	12	516

Accuracy

100.0%

Counts

516 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.7%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	53.0%	(sqrt.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64))))
▶	69.7%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(approx (sqrt (+ ( x x) (* (* p 4) p))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 p p) x) x))) #s(literal 1/2 binary64))))
	7.3%	(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)))))
	16.4%	(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)))))
▶	50.1%	(sqrt.f64 #s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(literal 1/2 binary64)))
✓	45.6%	(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))))
▶	26.5%	#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))
	32.5%	#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 p x)))
	32.1%	#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (fma.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (neg.f64 (/.f64 p x))))
✓	45.7%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
✓	34.9%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))

Compiler

Compiled 567 to 386 computations (31.9% saved)

series43.0ms (0.9%)

Memory

22.1MiB live, 72.5MiB allocated; 5ms collecting garbage

Counts

34 → 297

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 1))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* 2 (/ (pow p 2) x)))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))))
#s(approx (+ (* x x) (* (* p 4) p)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* (* p 4) p)) #s(hole binary64 (+ (* 4 (pow p 2)) (pow x 2))))
#s(approx (* (* p 4) p) #s(hole binary64 (* 4 (pow p 2))))
#s(approx (* p 4) #s(hole binary64 (* 4 p)))
#s(approx p #s(hole binary64 p))
#s(approx (sqrt (+ 1/2 (* (/ x (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 (+ (* -1/2 (/ (* p p) (* x x))) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (/ (* p p) (* x x))) 1) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ (* p p) (* x x)) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* p p) #s(hole binary64 (pow p 2)))
#s(approx (* (/ 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 (+ (* 2 (/ (* p p) x)) x) #s(hole binary64 x))
#s(approx (+ (* 2 (/ (* p p) x)) x) #s(hole binary64 (+ x (* 2 (/ (pow p 2) x)))))
#s(approx (/ (* p p) x) #s(hole binary64 (/ (pow p 2) x)))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (* (pow 1 1/4) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* (pow 1 1/4) (* (sqrt 1/2) (sqrt 2))) (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (* (pow 1 1/4) (/ (sqrt 2) (pow x 2)))) (* (pow 1 1/4) (/ 1 (* (pow x 2) (sqrt 2))))))))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* (pow 1 1/4) (* (sqrt 1/2) (sqrt 2))) (* (pow p 2) (+ (* (sqrt 1/2) (+ (* -1 (* (pow 1 1/4) (/ (sqrt 2) (pow x 2)))) (* (pow 1 1/4) (/ 1 (* (pow x 2) (sqrt 2)))))) (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (* (pow 1 1/4) (/ 1 (* (pow x 4) (sqrt 2))))) (+ (* -1/2 (* (pow 1 1/4) (/ (+ (/ 1 (* (pow x 3) (pow (sqrt 2) 2))) (* 2 (/ 1 (pow x 3)))) (* x (sqrt 2))))) (* 5/2 (* (pow 1 1/4) (/ (sqrt 2) (pow x 4)))))))))))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* (pow 1 1/4) (* (sqrt 1/2) (sqrt 2))) (* (pow p 2) (+ (* (sqrt 1/2) (+ (* -1 (* (pow 1 1/4) (/ (sqrt 2) (pow x 2)))) (* (pow 1 1/4) (/ 1 (* (pow x 2) (sqrt 2)))))) (* (pow p 2) (+ (* (sqrt 1/2) (+ (* -1 (* (pow 1 1/4) (/ 1 (* (pow x 4) (sqrt 2))))) (+ (* -1/2 (* (pow 1 1/4) (/ (+ (/ 1 (* (pow x 3) (pow (sqrt 2) 2))) (* 2 (/ 1 (pow x 3)))) (* x (sqrt 2))))) (* 5/2 (* (pow 1 1/4) (/ (sqrt 2) (pow x 4))))))) (* (pow p 2) (* (sqrt 1/2) (+ (* -15/2 (* (pow 1 1/4) (/ (sqrt 2) (pow x 6)))) (+ (* 1/2 (* (pow 1 1/4) (/ (+ (/ 1 (* (pow x 3) (pow (sqrt 2) 2))) (* 2 (/ 1 (pow x 3)))) (* (pow x 3) (sqrt 2))))) (+ (* 1/2 (* (pow 1 1/4) (/ (- (* 4 (/ 1 (pow x 5))) (* -1 (/ (+ (/ 1 (* (pow x 3) (pow (sqrt 2) 2))) (* 2 (/ 1 (pow x 3)))) (* (pow x 2) (pow (sqrt 2) 2))))) (* x (sqrt 2))))) (* 5/2 (* (pow 1 1/4) (/ 1 (* (pow x 6) (sqrt 2)))))))))))))))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 1))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (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 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (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 (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* 2 x)))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (+ (* 2 x) (* 2 (/ (pow p 2) x)))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (+ (* 2 x) (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (+ (* 2 x) (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))))
#s(approx (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (* 4 x)))
#s(approx (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (+ (* 4 x) (* 4 (/ (pow p 2) x)))))
#s(approx (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (+ (* 4 x) (* (pow p 2) (+ (* -4 (/ (pow p 2) (pow x 3))) (* 4 (/ 1 x)))))))
#s(approx (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #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 (+ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ (* 2 x) (* 2 (/ (pow p 2) x)))))
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#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* -1 (* p (+ 2 (* -1 (/ (+ x (* -1/4 (/ (pow x 2) p))) p)))))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* -1 (* p (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/64 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) p))) p)))))))
#s(approx (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (* -4 p)))
#s(approx (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (* -1 (* p (+ 4 (* -2 (/ x p)))))))
#s(approx (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (* -1 (* p (+ 4 (* -1 (/ (+ (* -1/2 (/ (pow x 2) p)) (* 2 x)) p)))))))
#s(approx (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (* -1 (* p (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (pow x 4) (pow p 2))) (* 1/2 (pow x 2))) p)) (* 2 x)) p)))))))
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#s(approx (+ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1 (* p (+ 2 (* -1 (/ x p)))))))
#s(approx (+ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1 (* p (+ 2 (* -1 (/ (+ x (* -1/4 (/ (pow x 2) p))) p)))))))
#s(approx (+ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1 (* p (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/64 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) p))) p)))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -4 p)))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* p (+ 4 (* 1/2 (/ (pow x 2) (pow p 2))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* p (+ 4 (+ (* -1/32 (/ (pow x 4) (pow p 4))) (* 1/2 (/ (pow x 2) (pow p 2)))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* p (+ 4 (+ (* -1/32 (/ (pow x 4) (pow p 4))) (+ (* 1/256 (/ (pow x 6) (pow p 6))) (* 1/2 (/ (pow x 2) (pow p 2))))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))))
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#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/2048 (/ (pow x 2) (pow p 7))) (* 3/256 (/ 1 (pow p 5))))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))))
#s(approx 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 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))))
#s(approx (+ (* -1/2 (/ (* p p) (* x x))) 1) #s(hole binary64 (/ (+ (* -1/2 (pow p 2)) (pow x 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/4096 (/ (pow x 2) (pow p 7))) (* 3/512 (/ 1 (pow p 5))))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))))
#s(approx (+ (* 2 (/ (* p p) x)) x) #s(hole binary64 (/ (+ (* 2 (pow p 2)) (pow x 2)) x)))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (* (pow 1/4 1/4) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* 1/2 (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) (* p (sqrt 2))))) (* (pow 1/4 1/4) (* (sqrt 1/2) (sqrt 2))))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* x (+ (* 1/2 (* (pow 1/4 1/4) (/ (sqrt 1/2) (* p (sqrt 2))))) (* x (* (sqrt 1/2) (+ (* -1/16 (* (pow 1/4 1/4) (/ (sqrt 2) (pow p 2)))) (* 1/2 (* (pow 1/4 1/4) (/ (- (* 1/4 (/ 1 p)) (* 1/4 (/ 1 (* p (pow (sqrt 2) 2))))) (* p (sqrt 2)))))))))) (* (pow 1/4 1/4) (* (sqrt 1/2) (sqrt 2))))))
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#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (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 (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (+ x (* 2 p))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (+ (* 2 p) (* x (+ 1 (* 1/4 (/ x p)))))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (+ (* 2 p) (* x (+ 1 (* x (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))))
#s(approx (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (+ (* 2 x) (* 4 p))))
#s(approx (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (+ (* 4 p) (* x (+ 2 (* 1/2 (/ x p)))))))
#s(approx (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (+ (* 4 p) (* x (+ 2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))))))
#s(approx (+ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ x (* 2 p))))
#s(approx (+ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ (* 2 p) (* x (+ 1 (* 1/4 (/ x p)))))))
#s(approx (+ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ (* 2 p) (* x (+ 1 (* x (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (+ (* 1/2 (/ (pow x 2) p)) (* 4 p))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (+ (* 4 p) (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (+ (* 4 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/256 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))))
#s(approx (+ (* x x) (* (* p 4) p)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))))
#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))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))))
#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))) (+ (* 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 (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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)))) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))))
#s(approx (+ (* 2 (/ (* p p) x)) x) #s(hole binary64 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
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#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (* x (+ (* -1 (/ (* (pow p 2) (* (sqrt 1/2) (sqrt 2))) (pow x 3))) (+ (/ (* (sqrt 1/2) (sqrt 2)) x) (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (* x (+ (* -1 (/ (* (pow p 2) (* (sqrt 1/2) (sqrt 2))) (pow x 3))) (+ (/ (* (sqrt 1/2) (sqrt 2)) x) (+ (/ (* (sqrt 1/2) (* (sqrt 2) (+ (* 1/96 (+ (* -192 (pow p 4)) (* 384 (pow p 4)))) (* 1/2 (pow p 4))))) (pow x 5)) (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2)))))))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 1 (* 1/2 (/ (+ (* -4 (pow p 2)) (* 2 (pow p 2))) (pow x 2))))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (+ (* -4 (pow p 2)) (* 2 (pow p 2))) (pow x 2))) (* 1/2 (/ (+ (* -4 (pow p 4)) (+ (* -2 (pow p 4)) (* -1 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (pow x 4)))))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (+ (* -4 (pow p 2)) (* 2 (pow p 2))) (pow x 2))) (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (+ (* -2 (pow p 4)) (* -1 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (pow x 4))) (* 1/2 (/ (+ (* -1 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -1 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 8 (pow p 6)))) (pow x 6))))))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* x (+ 2 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* x (+ 2 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* x (+ 2 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))))
#s(approx (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (* x (+ 4 (* 4 (/ (pow p 2) (pow x 2)))))))
#s(approx (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (* x (+ 4 (+ (* -4 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 2) (pow x 2))))))))
#s(approx (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (* x (+ 4 (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* 4 (/ (pow p 2) (pow x 2))) (* 8 (/ (pow p 6) (pow x 6)))))))))
#s(approx (+ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* x (+ 2 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (+ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* x (+ 2 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (+ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* x (+ 2 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* x (+ 2 (* 4 (/ (pow p 2) (pow x 2)))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* x (+ 2 (+ (* -4 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 2) (pow x 2))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* x (+ 2 (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* 4 (/ (pow p 2) (pow x 2))) (* 8 (/ (pow p 6) (pow x 6)))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 -1))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 1)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))))
#s(approx (sqrt (+ 1/2 (* (/ 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 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 -1/2))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (- (/ (pow p 2) (pow x 2)) 1/2)))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (- (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (/ (pow p 2) (pow x 2))) 1/2)))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (- (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (/ (pow p 2) (pow x 2)))) 1/2)))
#s(approx (+ (* 2 (/ (* p p) x)) x) #s(hole binary64 (* -1 (* x (- (* -2 (/ (pow p 2) (pow x 2))) 1)))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) (/ (* (pow p 3) (* (sqrt 1/2) (sqrt 2))) (pow x 3)))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) (+ (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 3) (sqrt 2))) (/ (* (pow p 3) (* (sqrt 1/2) (sqrt 2))) (pow x 3))))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) (+ (* -1 (/ (+ (* -1 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2))) (/ (* p (* (sqrt 1/2) (* (sqrt 2) (+ (* 1/96 (+ (* -192 (pow p 4)) (* 384 (pow p 4)))) (* 1/2 (pow p 4)))))) (pow x 2))) (pow x 3))) (/ (* (pow p 3) (* (sqrt 1/2) (sqrt 2))) (pow x 3))))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -8 (pow p 8)) (+ (* -1 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -1/2 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* (pow p 4) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* -2 (/ (pow p 2) x))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2))) x))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 4 (/ (pow p 6) (pow x 4))))) x))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1/2 (/ (+ (* 4 (pow p 8)) (* 16 (pow p 8))) (pow x 6))) (+ (* 2 (pow p 2)) (* 4 (/ (pow p 6) (pow x 4)))))) x))))
#s(approx (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (* -4 (/ (pow p 2) x))))
#s(approx (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (* -1 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) x))))
#s(approx (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #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 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #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 (+ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -2 (/ (pow p 2) x))))
#s(approx (+ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2))) x))))
#s(approx (+ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 4 (/ (pow p 6) (pow x 4))))) x))))
#s(approx (+ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1/2 (/ (+ (* 4 (pow p 8)) (* 16 (pow p 8))) (pow x 6))) (+ (* 2 (pow p 2)) (* 4 (/ (pow p 6) (pow x 4)))))) x))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -2 x)))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (* 4 (/ (pow p 2) (pow x 2))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (+ (* -4 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 2) (pow x 2)))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* 4 (/ (pow p 2) (pow x 2))) (* 8 (/ (pow p 6) (pow x 6))))))))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	p	@	-inf	((sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) x (sqrt (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)) (* (* p 4) p) (* p 4) p 4 1/2 (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ (* -1/2 (/ (* p p) (* x x))) 1) -1/2 (/ (* p p) (* x x)) (* p p) (* x x) 1 (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* 2 (/ (* p p) x)) x) 2 (/ (* p p) x) (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) (+ x (sqrt (+ (* x x) (* (* p 4) p)))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))
7.0ms	p	@	inf	((sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) x (sqrt (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)) (* (* p 4) p) (* p 4) p 4 1/2 (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ (* -1/2 (/ (* p p) (* x x))) 1) -1/2 (/ (* p p) (* x x)) (* p p) (* x x) 1 (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* 2 (/ (* p p) x)) x) 2 (/ (* p p) x) (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) (+ x (sqrt (+ (* x x) (* (* p 4) p)))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))
6.0ms	p	@	0	((sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) x (sqrt (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)) (* (* p 4) p) (* p 4) p 4 1/2 (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ (* -1/2 (/ (* p p) (* x x))) 1) -1/2 (/ (* p p) (* x x)) (* p p) (* x x) 1 (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* 2 (/ (* p p) x)) x) 2 (/ (* p p) x) (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) (+ x (sqrt (+ (* x x) (* (* p 4) p)))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))
6.0ms	x	@	-inf	((sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) x (sqrt (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)) (* (* p 4) p) (* p 4) p 4 1/2 (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ (* -1/2 (/ (* p p) (* x x))) 1) -1/2 (/ (* p p) (* x x)) (* p p) (* x x) 1 (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* 2 (/ (* p p) x)) x) 2 (/ (* p p) x) (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) (+ x (sqrt (+ (* x x) (* (* p 4) p)))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))
5.0ms	x	@	inf	((sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) x (sqrt (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)) (* (* p 4) p) (* p 4) p 4 1/2 (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ (* -1/2 (/ (* p p) (* x x))) 1) -1/2 (/ (* p p) (* x x)) (* p p) (* x x) 1 (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* 2 (/ (* p p) x)) x) 2 (/ (* p p) x) (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) (+ x (sqrt (+ (* x x) (* (* p 4) p)))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))

rewrite266.0ms (5.5%)

Memory

26.7MiB live, 296.0MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1359	13554
0	1401	12052
1	7986	12052
0	8028	11593

Stop Event

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

Counts

331 → 416

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))))
x
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(.f64 (.f64 p #s(literal 4 binary64)) p)
(*.f64 p #s(literal 4 binary64))
p
#s(literal 4 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 #s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(literal 1/2 binary64)))
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#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))))
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#s(approx (* x x) #s(hole binary64 (pow x 2)))
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#s(approx (+ (* 2 (/ (* p p) x)) x) #s(hole binary64 (/ (+ (* 2 (pow p 2)) (pow x 2)) x)))
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#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) (+ (* -1 (/ (+ (* -1 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2))) (/ (* p (* (sqrt 1/2) (* (sqrt 2) (+ (* 1/96 (+ (* -192 (pow p 4)) (* 384 (pow p 4)))) (* 1/2 (pow p 4)))))) (pow x 2))) (pow x 3))) (/ (* (pow p 3) (* (sqrt 1/2) (sqrt 2))) (pow x 3))))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -8 (pow p 8)) (+ (* -1 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -1/2 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* (pow p 4) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* -2 (/ (pow p 2) x))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2))) x))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 4 (/ (pow p 6) (pow x 4))))) x))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1/2 (/ (+ (* 4 (pow p 8)) (* 16 (pow p 8))) (pow x 6))) (+ (* 2 (pow p 2)) (* 4 (/ (pow p 6) (pow x 4)))))) x))))
#s(approx (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (* -4 (/ (pow p 2) x))))
#s(approx (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #s(hole binary64 (* -1 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) x))))
#s(approx (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #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 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p))))) #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 (+ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -2 (/ (pow p 2) x))))
#s(approx (+ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2))) x))))
#s(approx (+ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 4 (/ (pow p 6) (pow x 4))))) x))))
#s(approx (+ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1/2 (/ (+ (* 4 (pow p 8)) (* 16 (pow p 8))) (pow x 6))) (+ (* 2 (pow p 2)) (* 4 (/ (pow p 6) (pow x 4)))))) x))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -2 x)))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (* 4 (/ (pow p 2) (pow x 2))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (+ (* -4 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 2) (pow x 2)))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* 4 (/ (pow p 2) (pow x 2))) (* 8 (/ (pow p 6) (pow x 6))))))))))

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

eval93.0ms (1.9%)

Memory: -44.1MiB live, 147.8MiB allocated; 36ms collecting garbage
Compiler: Compiled 20 682 to 2 492 computations (88% saved)

prune14.0ms (0.3%)

Memory

44.9MiB live, 44.9MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	519	3	522
Fresh	1	3	4
Picked	2	3	5
Done	0	3	3
Total	522	12	534

Accuracy

100.0%

Counts

534 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.7%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	69.7%	(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	53.0%	(sqrt.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64))))
▶	16.4%	(sqrt.f64 (/.f64 #s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (.f64 (/.f64 (.f64 p p) x) #s(literal -2 binary64))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64))))
▶	7.3%	(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)))))
✓	50.1%	(sqrt.f64 #s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(literal 1/2 binary64)))
✓	45.6%	(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))))
✓	26.5%	#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))
▶	32.5%	#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 p x)))
	32.1%	#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (fma.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (neg.f64 (/.f64 p x))))
✓	45.7%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
✓	34.9%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))

Compiler

Compiled 495 to 342 computations (30.9% saved)

series47.0ms (1%)

Memory

-45.0MiB live, 65.6MiB allocated; 25ms collecting garbage

Counts

39 → 372

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 1))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* 2 (/ (pow p 2) x)))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))))
#s(approx (+ (* (/ (* p 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 p #s(hole binary64 p))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 1))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (neg (/ p x)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (/ p x) #s(hole binary64 (/ p x)))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 1))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (* (/ x (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 (- (/ (* p p) (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ (* p p) (* x x)) 1/2) #s(hole binary64 (- (/ (pow p 2) (pow x 2)) 1/2)))
#s(approx (/ (* p p) (* x x)) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (* (pow 1 1/4) (* (sqrt 1/2) (sqrt 2)))))
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#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))))
#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 (+ (* (/ (* p p) x) 2) x) #s(hole binary64 (/ (+ (* 2 (pow p 2)) (pow x 2)) x)))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/4096 (/ (pow x 2) (pow p 7))) (* 3/512 (/ 1 (pow p 5))))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))))
#s(approx (- (/ (* p p) (* x x)) 1/2) #s(hole binary64 (/ (+ (* -1/2 (pow x 2)) (pow p 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (* (pow 1/4 1/4) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* 1/2 (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) (* p (sqrt 2))))) (* (pow 1/4 1/4) (* (sqrt 1/2) (sqrt 2))))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* x (+ (* 1/2 (* (pow 1/4 1/4) (/ (sqrt 1/2) (* p (sqrt 2))))) (* x (* (sqrt 1/2) (+ (* -1/16 (* (pow 1/4 1/4) (/ (sqrt 2) (pow p 2)))) (* 1/2 (* (pow 1/4 1/4) (/ (- (* 1/4 (/ 1 p)) (* 1/4 (/ 1 (* p (pow (sqrt 2) 2))))) (* p (sqrt 2)))))))))) (* (pow 1/4 1/4) (* (sqrt 1/2) (sqrt 2))))))
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#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (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)))))))
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#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (+ (* 2 p) (* x (+ 1 (* 1/4 (/ x p)))))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (+ (* 2 p) (* x (+ 1 (* x (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))))
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#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (+ (* 4 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/256 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))))
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#s(approx (sqrt (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* 1/2 (* (pow 1/4 1/4) (/ (* x (sqrt 1/2)) (* p (sqrt 2))))) (* (pow 1/4 1/4) (* (sqrt 1/2) (sqrt 2))))))
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#s(approx (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (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)))))))
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#s(approx (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) #s(hole binary64 (+ (* 2 p) (* x (+ 1 (* 1/4 (/ x p)))))))
#s(approx (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) #s(hole binary64 (+ (* 2 p) (* x (+ 1 (* x (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))))
#s(approx (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) #s(hole binary64 (+ x (* 2 p))))
#s(approx (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) #s(hole binary64 (+ (* 2 p) (* x (+ 1 (* 1/4 (/ x p)))))))
#s(approx (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) #s(hole binary64 (+ (* 2 p) (* x (+ 1 (* x (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 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 (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))))
#s(approx (+ (* (/ (* p p) x) 2) x) #s(hole binary64 (* x (+ 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 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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 (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 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)))) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))))
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#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (* x (+ (* -1 (/ (* (pow p 2) (* (sqrt 1/2) (sqrt 2))) (pow x 3))) (+ (/ (* (sqrt 1/2) (sqrt 2)) x) (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2))))))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (* x (+ (* -1 (/ (* (pow p 2) (* (sqrt 1/2) (sqrt 2))) (pow x 3))) (+ (/ (* (sqrt 1/2) (sqrt 2)) x) (+ (/ (* (sqrt 1/2) (* (sqrt 2) (+ (* 1/96 (+ (* -192 (pow p 4)) (* 384 (pow p 4)))) (* 1/2 (pow p 4))))) (pow x 5)) (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 3) (sqrt 2)))))))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 1 (* 1/2 (/ (+ (* -4 (pow p 2)) (* 2 (pow p 2))) (pow x 2))))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (+ (* -4 (pow p 2)) (* 2 (pow p 2))) (pow x 2))) (* 1/2 (/ (+ (* -4 (pow p 4)) (+ (* -2 (pow p 4)) (* -1 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (pow x 4)))))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (+ (* -4 (pow p 2)) (* 2 (pow p 2))) (pow x 2))) (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (+ (* -2 (pow p 4)) (* -1 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (pow x 4))) (* 1/2 (/ (+ (* -1 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -1 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 8 (pow p 6)))) (pow x 6))))))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* x (+ 2 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* x (+ 2 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* x (+ 2 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* x (+ 2 (* 4 (/ (pow p 2) (pow x 2)))))))
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#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 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
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#s(approx (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (+ (* -4 (pow p 2)) (* 2 (pow p 2))) (pow x 2))) (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (+ (* -2 (pow p 4)) (* -1 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (pow x 4))) (* 1/2 (/ (+ (* -1 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -1 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 8 (pow p 6)))) (pow x 6))))))))
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#s(approx (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) #s(hole binary64 (* x (+ 2 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) #s(hole binary64 (* x (+ 2 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) #s(hole binary64 (* x (+ 2 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (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 (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 -1))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1)))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 1)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))))
#s(approx (+ (* (/ (* p p) x) 2) x) #s(hole binary64 (* -1 (* x (- (* -2 (/ (pow p 2) (pow x 2))) 1)))))
#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 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 -1/2))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (- (/ (pow p 2) (pow x 2)) 1/2)))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (- (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (/ (pow p 2) (pow x 2))) 1/2)))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (- (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (/ (pow p 2) (pow x 2)))) 1/2)))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) (/ (* (pow p 3) (* (sqrt 1/2) (sqrt 2))) (pow x 3)))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) (+ (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 3) (sqrt 2))) (/ (* (pow p 3) (* (sqrt 1/2) (sqrt 2))) (pow x 3))))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) (+ (* -1 (/ (+ (* -1 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2))) (/ (* p (* (sqrt 1/2) (* (sqrt 2) (+ (* 1/96 (+ (* -192 (pow p 4)) (* 384 (pow p 4)))) (* 1/2 (pow p 4)))))) (pow x 2))) (pow x 3))) (/ (* (pow p 3) (* (sqrt 1/2) (sqrt 2))) (pow x 3))))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -8 (pow p 8)) (+ (* -1 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -1/2 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* (pow p 4) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* -2 (/ (pow p 2) x))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2))) x))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 4 (/ (pow p 6) (pow x 4))))) x))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1/2 (/ (+ (* 4 (pow p 8)) (* 16 (pow p 8))) (pow x 6))) (+ (* 2 (pow p 2)) (* 4 (/ (pow p 6) (pow x 4)))))) x))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -2 x)))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (* 4 (/ (pow p 2) (pow x 2))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (+ (* -4 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 2) (pow x 2)))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* 4 (/ (pow p 2) (pow x 2))) (* 8 (/ (pow p 6) (pow x 6))))))))))
#s(approx (sqrt (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))))
#s(approx (sqrt (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) (/ (* (pow p 3) (* (sqrt 1/2) (sqrt 2))) (pow x 3)))))
#s(approx (sqrt (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) (+ (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 3) (sqrt 2))) (/ (* (pow p 3) (* (sqrt 1/2) (sqrt 2))) (pow x 3))))))
#s(approx (sqrt (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) (+ (* -1 (/ (+ (* -1 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2))) (/ (* p (* (sqrt 1/2) (* (sqrt 2) (+ (* 1/96 (+ (* -192 (pow p 4)) (* 384 (pow p 4)))) (* 1/2 (pow p 4)))))) (pow x 2))) (pow x 3))) (/ (* (pow p 3) (* (sqrt 1/2) (sqrt 2))) (pow x 3))))))
#s(approx (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))))
#s(approx (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -8 (pow p 8)) (+ (* -1 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -1/2 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* (pow p 4) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))))
#s(approx (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) #s(hole binary64 (* -2 (/ (pow p 2) x))))
#s(approx (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2))) x))))
#s(approx (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 4 (/ (pow p 6) (pow x 4))))) x))))
#s(approx (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1/2 (/ (+ (* 4 (pow p 8)) (* 16 (pow p 8))) (pow x 6))) (+ (* 2 (pow p 2)) (* 4 (/ (pow p 6) (pow x 4)))))) x))))
#s(approx (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) #s(hole binary64 (* -2 (/ (pow p 2) x))))
#s(approx (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2))) x))))
#s(approx (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 4 (/ (pow p 6) (pow x 4))))) x))))
#s(approx (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1/2 (/ (+ (* 4 (pow p 8)) (* 16 (pow p 8))) (pow x 6))) (+ (* 2 (pow p 2)) (* 4 (/ (pow p 6) (pow x 4)))))) x))))
#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
6.0ms	p	@	0	((sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) x (sqrt (+ (* x x) (* (* p 4) p))) (+ (* (/ (* p p) x) 2) x) (/ (* p p) x) (* p p) p 2 1/2 (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg (/ p x)) (/ p x) (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (- (/ (* p p) (* x x)) 1/2) (/ (* p p) (* x x)) (* x x) (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (/ (* p p) x) -2) -2 (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)) (* (* p 4) p) (* p 4) 4 (sqrt (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) (sqrt (+ (* (* 4 p) p) (* x x))) (+ (* (* 4 p) p) (* x x)) (* 4 p))
4.0ms	p	@	-inf	((sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) x (sqrt (+ (* x x) (* (* p 4) p))) (+ (* (/ (* p p) x) 2) x) (/ (* p p) x) (* p p) p 2 1/2 (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg (/ p x)) (/ p x) (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (- (/ (* p p) (* x x)) 1/2) (/ (* p p) (* x x)) (* x x) (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (/ (* p p) x) -2) -2 (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)) (* (* p 4) p) (* p 4) 4 (sqrt (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) (sqrt (+ (* (* 4 p) p) (* x x))) (+ (* (* 4 p) p) (* x x)) (* 4 p))
4.0ms	p	@	inf	((sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) x (sqrt (+ (* x x) (* (* p 4) p))) (+ (* (/ (* p p) x) 2) x) (/ (* p p) x) (* p p) p 2 1/2 (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg (/ p x)) (/ p x) (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (- (/ (* p p) (* x x)) 1/2) (/ (* p p) (* x x)) (* x x) (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (/ (* p p) x) -2) -2 (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)) (* (* p 4) p) (* p 4) 4 (sqrt (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) (sqrt (+ (* (* 4 p) p) (* x x))) (+ (* (* 4 p) p) (* x x)) (* 4 p))
4.0ms	x	@	-inf	((sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) x (sqrt (+ (* x x) (* (* p 4) p))) (+ (* (/ (* p p) x) 2) x) (/ (* p p) x) (* p p) p 2 1/2 (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg (/ p x)) (/ p x) (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (- (/ (* p p) (* x x)) 1/2) (/ (* p p) (* x x)) (* x x) (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (/ (* p p) x) -2) -2 (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)) (* (* p 4) p) (* p 4) 4 (sqrt (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) (sqrt (+ (* (* 4 p) p) (* x x))) (+ (* (* 4 p) p) (* x x)) (* 4 p))
3.0ms	x	@	inf	((sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) x (sqrt (+ (* x x) (* (* p 4) p))) (+ (* (/ (* p p) x) 2) x) (/ (* p p) x) (* p p) p 2 1/2 (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg (/ p x)) (/ p x) (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (- (/ (* p p) (* x x)) 1/2) (/ (* p p) (* x x)) (* x x) (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (/ (* p p) x) -2) -2 (* (sqrt (+ (* x x) (* (* p 4) p))) 2) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)) (* (* p 4) p) (* p 4) 4 (sqrt (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) (sqrt (+ (* (* 4 p) p) (* x x))) (+ (* (* 4 p) p) (* x x)) (* 4 p))

rewrite372.0ms (7.7%)

Memory

4.7MiB live, 322.6MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1385	18055
0	1429	15775
1	7640	15745
0	9065	15088

Stop Event

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

Counts

411 → 542

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x #s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x #s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x)))
x
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))
(fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x)
(/.f64 (*.f64 p p) x)
(*.f64 p p)
p
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 p x)))
(neg.f64 (/.f64 p x))
(/.f64 p x)
(sqrt.f64 (+.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)))))
(+.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))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (-.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (.f64 p p) (.f64 x x))
(*.f64 x x)
(sqrt.f64 (/.f64 #s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (.f64 (/.f64 (.f64 p p) 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 #s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (.f64 (/.f64 (.f64 p p) x) #s(literal -2 binary64))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64)))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (.f64 (/.f64 (.f64 p p) x) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 p p) x) #s(literal -2 binary64))
#s(literal -2 binary64)
(.f64 (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))
(fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))
(.f64 (.f64 p #s(literal 4 binary64)) p)
(*.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
(sqrt.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)
(sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))
(fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))
(*.f64 #s(literal 4 binary64) p)
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 1))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* 2 (/ (pow p 2) x)))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))))
#s(approx (+ (* (/ (* p 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 p #s(hole binary64 p))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 1))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (neg (/ p x)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (/ p x) #s(hole binary64 (/ p x)))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 1))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (* (/ x (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 (- (/ (* p p) (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ (* p p) (* x x)) 1/2) #s(hole binary64 (- (/ (pow p 2) (pow x 2)) 1/2)))
#s(approx (/ (* p p) (* x x)) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (* (pow 1 1/4) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* (pow 1 1/4) (* (sqrt 1/2) (sqrt 2))) (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (* (pow 1 1/4) (/ (sqrt 2) (pow x 2)))) (* (pow 1 1/4) (/ 1 (* (pow x 2) (sqrt 2))))))))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* (pow 1 1/4) (* (sqrt 1/2) (sqrt 2))) (* (pow p 2) (+ (* (sqrt 1/2) (+ (* -1 (* (pow 1 1/4) (/ (sqrt 2) (pow x 2)))) (* (pow 1 1/4) (/ 1 (* (pow x 2) (sqrt 2)))))) (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (* (pow 1 1/4) (/ 1 (* (pow x 4) (sqrt 2))))) (+ (* -1/2 (* (pow 1 1/4) (/ (+ (/ 1 (* (pow x 3) (pow (sqrt 2) 2))) (* 2 (/ 1 (pow x 3)))) (* x (sqrt 2))))) (* 5/2 (* (pow 1 1/4) (/ (sqrt 2) (pow x 4)))))))))))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* (pow 1 1/4) (* (sqrt 1/2) (sqrt 2))) (* (pow p 2) (+ (* (sqrt 1/2) (+ (* -1 (* (pow 1 1/4) (/ (sqrt 2) (pow x 2)))) (* (pow 1 1/4) (/ 1 (* (pow x 2) (sqrt 2)))))) (* (pow p 2) (+ (* (sqrt 1/2) (+ (* -1 (* (pow 1 1/4) (/ 1 (* (pow x 4) (sqrt 2))))) (+ (* -1/2 (* (pow 1 1/4) (/ (+ (/ 1 (* (pow x 3) (pow (sqrt 2) 2))) (* 2 (/ 1 (pow x 3)))) (* x (sqrt 2))))) (* 5/2 (* (pow 1 1/4) (/ (sqrt 2) (pow x 4))))))) (* (pow p 2) (* (sqrt 1/2) (+ (* -15/2 (* (pow 1 1/4) (/ (sqrt 2) (pow x 6)))) (+ (* 1/2 (* (pow 1 1/4) (/ (+ (/ 1 (* (pow x 3) (pow (sqrt 2) 2))) (* 2 (/ 1 (pow x 3)))) (* (pow x 3) (sqrt 2))))) (+ (* 1/2 (* (pow 1 1/4) (/ (- (* 4 (/ 1 (pow x 5))) (* -1 (/ (+ (/ 1 (* (pow x 3) (pow (sqrt 2) 2))) (* 2 (/ 1 (pow x 3)))) (* (pow x 2) (pow (sqrt 2) 2))))) (* x (sqrt 2))))) (* 5/2 (* (pow 1 1/4) (/ 1 (* (pow x 6) (sqrt 2)))))))))))))))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 1))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (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 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (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 (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* 2 x)))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (+ (* 2 x) (* 2 (/ (pow p 2) x)))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (+ (* 2 x) (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (+ (* 2 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) #s(hole binary64 (* -2 (/ (pow p 2) 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)))))))
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#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) p)) (* 1/4 x)) p)))))
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#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* -1 (* p (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/64 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) p))) p)))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -4 p)))
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#s(approx (sqrt (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (* -1 (* (sqrt p) (* (exp (* 1/4 (+ (log 1/4) (* 2 (log (/ -1 p)))))) (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))))))))
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#s(approx (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) #s(hole binary64 (* -2 p)))
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#s(approx (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) #s(hole binary64 (* -1 (* p (+ 2 (* -1 (/ (+ x (* -1/4 (/ (pow x 2) p))) p)))))))
#s(approx (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) #s(hole binary64 (* -1 (* p (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/64 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) p))) p)))))))
#s(approx (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) #s(hole binary64 (* -2 p)))
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#s(approx (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) #s(hole binary64 (* -1 (* p (+ 2 (* -1 (/ (+ x (* -1/4 (/ (pow x 2) p))) p)))))))
#s(approx (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) #s(hole binary64 (* -1 (* p (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/64 (/ (pow x 4) (pow p 2))) (* 1/4 (pow x 2))) p))) p)))))))
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#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 (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (+ (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/2048 (/ (pow x 2) (pow p 7))) (* 3/256 (/ 1 (pow p 5))))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))))
#s(approx x #s(hole binary64 x))
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#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))))
#s(approx (+ (* (/ (* p p) x) 2) x) #s(hole binary64 (/ (+ (* 2 (pow p 2)) (pow x 2)) x)))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(hole binary64 (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))))
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#s(approx (- (/ (* p p) (* x x)) 1/2) #s(hole binary64 (/ (+ (* -1/2 (pow x 2)) (pow p 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
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#s(approx (/ x (sqrt (+ (* x x) (* (* p 4) p)))) #s(hole binary64 (- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 1)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) (* (* p 4) p))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))))
#s(approx (+ (* (/ (* p p) x) 2) x) #s(hole binary64 (* -1 (* x (- (* -2 (/ (pow p 2) (pow x 2))) 1)))))
#s(approx (sqrt (+ 1/2 (* (/ x (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 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 -1/2))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (- (/ (pow p 2) (pow x 2)) 1/2)))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (- (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (/ (pow p 2) (pow x 2))) 1/2)))
#s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) #s(hole binary64 (- (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (/ (pow p 2) (pow x 2)))) 1/2)))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) (/ (* (pow p 3) (* (sqrt 1/2) (sqrt 2))) (pow x 3)))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) (+ (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 3) (sqrt 2))) (/ (* (pow p 3) (* (sqrt 1/2) (sqrt 2))) (pow x 3))))))
#s(approx (sqrt (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) (+ (* -1 (/ (+ (* -1 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2))) (/ (* p (* (sqrt 1/2) (* (sqrt 2) (+ (* 1/96 (+ (* -192 (pow p 4)) (* 384 (pow p 4)))) (* 1/2 (pow p 4)))))) (pow x 2))) (pow x 3))) (/ (* (pow p 3) (* (sqrt 1/2) (sqrt 2))) (pow x 3))))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))))
#s(approx (/ (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -8 (pow p 8)) (+ (* -1 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -1/2 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* (pow p 4) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* -2 (/ (pow p 2) x))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2))) x))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 4 (/ (pow p 6) (pow x 4))))) x))))
#s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1/2 (/ (+ (* 4 (pow p 8)) (* 16 (pow p 8))) (pow x 6))) (+ (* 2 (pow p 2)) (* 4 (/ (pow p 6) (pow x 4)))))) x))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -2 x)))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (* 4 (/ (pow p 2) (pow x 2))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (+ (* -4 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 2) (pow x 2)))))))))
#s(approx (* (sqrt (+ (* x x) (* (* p 4) p))) 2) #s(hole binary64 (* -1 (* x (+ 2 (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* 4 (/ (pow p 2) (pow x 2))) (* 8 (/ (pow p 6) (pow x 6))))))))))
#s(approx (sqrt (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))))
#s(approx (sqrt (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) (/ (* (pow p 3) (* (sqrt 1/2) (sqrt 2))) (pow x 3)))))
#s(approx (sqrt (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) (+ (/ (* (pow p 3) (sqrt 1/2)) (* (pow x 3) (sqrt 2))) (/ (* (pow p 3) (* (sqrt 1/2) (sqrt 2))) (pow x 3))))))
#s(approx (sqrt (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2))) #s(hole binary64 (+ (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) (+ (* -1 (/ (+ (* -1 (/ (* (pow p 3) (sqrt 1/2)) (sqrt 2))) (/ (* p (* (sqrt 1/2) (* (sqrt 2) (+ (* 1/96 (+ (* -192 (pow p 4)) (* 384 (pow p 4)))) (* 1/2 (pow p 4)))))) (pow x 2))) (pow x 3))) (/ (* (pow p 3) (* (sqrt 1/2) (sqrt 2))) (pow x 3))))))
#s(approx (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))))
#s(approx (/ (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -8 (pow p 8)) (+ (* -1 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -1/2 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* (pow p 4) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))))
#s(approx (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) #s(hole binary64 (* -2 (/ (pow p 2) x))))
#s(approx (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2))) x))))
#s(approx (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 4 (/ (pow p 6) (pow x 4))))) x))))
#s(approx (* 1 (+ (sqrt (+ (* (* 4 p) p) (* x x))) x)) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1/2 (/ (+ (* 4 (pow p 8)) (* 16 (pow p 8))) (pow x 6))) (+ (* 2 (pow p 2)) (* 4 (/ (pow p 6) (pow x 4)))))) x))))
#s(approx (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) #s(hole binary64 (* -2 (/ (pow p 2) x))))
#s(approx (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2))) x))))
#s(approx (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 4 (/ (pow p 6) (pow x 4))))) x))))
#s(approx (+ (sqrt (+ (* (* 4 p) p) (* x x))) x) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1/2 (/ (+ (* 4 (pow p 8)) (* 16 (pow p 8))) (pow x 6))) (+ (* 2 (pow p 2)) (* 4 (/ (pow p 6) (pow x 4)))))) x))))
#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
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x #s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x #s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (+.f64 (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64) x))) (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64) x)))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (fma.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64) x))) (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64) x))) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x #s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))))
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(/.f64 x #s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x)))
x
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)))) (-.f64 x (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64))) (.f64 x x)) (-.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64))) (.f64 x (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) x))))
(fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 p p) x) x)
(-.f64 x (.f64 (/.f64 (.f64 p p) x) #s(literal -2 binary64)))
(+.f64 (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)) x)
(+.f64 x (.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64)))
(*.f64 p (/.f64 p x))
(/.f64 (neg.f64 (*.f64 p p)) (neg.f64 x))
(/.f64 (*.f64 p p) x)
(*.f64 (pow.f64 p #s(literal 1 binary64)) (pow.f64 p #s(literal 1 binary64)))
(*.f64 (neg.f64 p) (neg.f64 p))
(*.f64 (fabs.f64 p) (fabs.f64 p))
(*.f64 p p)
(pow.f64 p #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 p) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 p) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 p) #s(literal 2 binary64))))
p
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (/.f64 (neg.f64 p) x))
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(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 (*.f64 #s(literal -1 binary64) p) x)
(/.f64 (neg.f64 p) x)
(/.f64 p (neg.f64 x))
(neg.f64 (/.f64 p x))
(/.f64 (neg.f64 p) (neg.f64 x))
(/.f64 p x)
(pow.f64 (+.f64 #s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (-.f64 (*.f64 (/.f64 p x) (/.f64 p x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(approx (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2) (-.f64 (*.f64 (/.f64 p x) (/.f64 p x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
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#s(approx x x)
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#s(approx (* x x) (*.f64 x x))
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#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (neg.f64 x))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (.f64 (neg.f64 x) (fma.f64 (.f64 (/.f64 p x) (/.f64 p x)) #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1 binary64))))

eval76.0ms (1.6%)

Memory: 12.6MiB live, 116.0MiB allocated; 19ms collecting garbage
Compiler: Compiled 19 644 to 2 233 computations (88.6% saved)

prune42.0ms (0.9%)

Memory

9.0MiB live, 54.8MiB allocated; 5ms collecting garbage

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	488	1	489
Fresh	0	1	1
Picked	1	4	5
Done	0	6	6
Total	489	12	501

Accuracy

100.0%

Counts

501 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.7%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	69.7%	(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	53.0%	(sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64))))
✓	16.4%	(sqrt.f64 (/.f64 #s(approx (* 1/2 (* 2 (+ x (sqrt (+ (* x x) (* (* p 4) p)))))) (.f64 (/.f64 (.f64 p p) x) #s(literal -2 binary64))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (*.f64 p #s(literal 4 binary64)) p))) #s(literal 2 binary64))))
✓	7.3%	(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)))))
✓	50.1%	(sqrt.f64 #s(approx (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(literal 1/2 binary64)))
✓	45.6%	(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))))
✓	26.5%	#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))
✓	32.5%	#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 p x)))
	32.1%	#s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (fma.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (neg.f64 (/.f64 p x))))
✓	45.7%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
✓	34.9%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))

Compiler

Compiled 1 020 to 387 computations (62.1% saved)

regimes85.0ms (1.8%)

Memory

-10.6MiB live, 93.7MiB allocated; 9ms collecting garbage

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

26.0ms	p
7.0ms	x
6.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
6.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
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)))))))

Results

Accuracy	Segments	Branch
75.7%	2	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
100.0%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
100.0%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
100.0%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
100.0%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
78.7%	3	`p`
84.0%	2	`x`

Compiler

Compiled 66 to 56 computations (15.2% saved)

regimes38.0ms (0.8%)

Memory

-6.7MiB live, 40.3MiB allocated; 1ms collecting garbage

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

21.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
5.0ms	(/.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))))))
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)))))))

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)

regimes15.0ms (0.3%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes32.0ms (0.7%)

Memory

-23.9MiB live, 23.0MiB allocated; 2ms collecting garbage

Counts

12 → 3

Calls

Call 1

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

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

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

Calls

4 calls:

22.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
3.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
3.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
3.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))

Results

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

15.2MiB live, 15.2MiB 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 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2)) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 p x)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))

Outputs

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

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

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

Results

Accuracy	Segments	Branch
98.7%	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)

regimes25.0ms (0.5%)

Memory

-31.8MiB live, 15.4MiB allocated; 1ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.6%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
98.6%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.6%	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))))))`
98.6%	3	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes10.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Results

Accuracy	Segments	Branch
66.4%	2	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
66.4%	2	`p`
53.7%	2	`x`
69.6%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
69.6%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
69.6%	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))))))`
69.6%	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

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
34.9%	1	`x`
34.9%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
34.9%	1	`p`
34.9%	1	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
34.9%	1	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
34.9%	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))))))`
34.9%	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

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5250958122654796e-7	0.15520737537266882

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5250958122654796e-7	0.15520737537266882

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.15520737537266882	0.6967248628215598

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7074511548835897	0.9999990055418775
0.0ms	0.15520737537266882	0.6967248628215598

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7074511548835897	0.9999990055418775
0.0ms	0.15520737537266882	0.6967248628215598

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7074511548835897	0.9999990055418775
0.0ms	0.15520737537266882	0.6967248628215598

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch25.0ms (0.5%)

Memory

-43.1MiB live, 6.5MiB allocated; 11ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.7074511548835897	0.9999990055418775

Samples

1.0ms

64×

valid

Compiler

Compiled 172 to 155 computations (9.9% saved)

Precisions

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

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

adjust: 0.0ms (0% of total)

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

simplify44.0ms (0.9%)

Memory

10.6MiB live, 56.7MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	601
1	153	592
2	331	588
3	1263	588

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (fma.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (neg.f64 (/.f64 p x)))) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 p x))) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 p x))) (sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 p x))) (if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 p x))) (if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 p x))) (if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 7656119366529843/9007199254740992 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))

Outputs
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (sqrt (* 1/2 (/ (+ (* x 2) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)) (* (sqrt (+ (* x x) (* (* p 4) p))) 2)))) (fma.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (neg.f64 (/.f64 p x)))) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (fma.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64)) (/.f64 (neg.f64 p) x))) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 p x))) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (/.f64 (neg.f64 p) x)) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (.f64 (.f64 p #s(literal 4 binary64)) p)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 p x))) (sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (/.f64 (neg.f64 p) x)) (sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* x x) (* (* p 4) p))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 p x))) (if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (/.f64 (neg.f64 p) x)) (if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 p x))) (if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (/.f64 (neg.f64 p) x)) (if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (neg.f64 (/.f64 p x))) (if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) (/.f64 (neg.f64 p) x)) (if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 3602879701896397/4503599627370496 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(literal 1 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 7656119366529843/9007199254740992 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64)))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))) #s(literal 7656119366529843/9007199254740992 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) 1/2))) #s(literal 1 binary64))

derivations253.0ms (5.2%)

Memory

-1.6MiB live, 231.6MiB allocated; 21ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 588 to 87 computations (85.2% saved)

preprocess59.0ms (1.2%)

Memory: 16.8MiB live, 112.3MiB allocated; 15ms collecting garbage
Compiler: Compiled 1 494 to 398 computations (73.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze459.0ms (9.5%)

sample1.7s (34.4%)

explain205.0ms (4.2%)

preprocess228.0ms (4.7%)

eval0.0ms (0%)

prune1.0ms (0%)

series88.0ms (1.8%)

rewrite239.0ms (4.9%)

eval41.0ms (0.8%)

prune17.0ms (0.4%)

series67.0ms (1.4%)

rewrite187.0ms (3.9%)

eval74.0ms (1.5%)

prune16.0ms (0.3%)

series43.0ms (0.9%)

rewrite266.0ms (5.5%)

eval93.0ms (1.9%)

prune14.0ms (0.3%)

series47.0ms (1%)

rewrite372.0ms (7.7%)

eval76.0ms (1.6%)

prune42.0ms (0.9%)

regimes85.0ms (1.8%)

regimes38.0ms (0.8%)

regimes15.0ms (0.3%)

regimes32.0ms (0.7%)

regimes8.0ms (0.2%)

regimes25.0ms (0.5%)

regimes10.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch25.0ms (0.5%)

simplify44.0ms (0.9%)

derivations253.0ms (5.2%)

preprocess59.0ms (1.2%)

end0.0ms (0%)

Profiling