Metrics for Given's Rotation SVD example

start0.0ms (0%)

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

analyze329.0ms (7.2%)

Memory

2.1MiB live, 327.9MiB allocated; 76ms 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)

sample1.5s (32.2%)

Memory

5.0MiB live, 2 031.2MiB allocated; 463ms collecting garbage

Samples

584.0ms	6 222×	0	valid
248.0ms	988×	2	valid
173.0ms	471×	3	valid
122.0ms	575×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 792.0ms

ival-mult!: 293.0ms (37% of total)

ival-sqrt: 181.0ms (22.9% of total)

adjust: 130.0ms (16.4% of total)

ival-div!: 122.0ms (15.4% of total)

ival-add!: 56.0ms (7.1% of total)

ival-fabs: 8.0ms (1% of total)

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

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

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

Bogosity

preprocess39.0ms (0.9%)

Memory

5.4MiB live, 51.1MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	106
1	157	104
2	479	104
3	1630	104

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.4%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Symmetry

(abs p)

Compiler

Compiled 28 to 28 computations (0% saved)

series26.0ms (0.6%)

Memory

32.8MiB live, 79.5MiB allocated; 3ms collecting garbage

Counts

14 → 110

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite210.0ms (4.6%)

Memory

-10.7MiB live, 278.3MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	600	4759
0	615	4238
1	4311	4214
0	8118	3940

Stop Event

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

Counts

124 → 186

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 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))))
(pow.f64 (pow.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))))
(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))
#s(literal 1 binary64)
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x))
x
(pow.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64))) (.f64 (.f64 x x) (.f64 x x)))) (sqrt.f64 (-.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 x x))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 p p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (sqrt.f64 (fma.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 p p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 x x)))))
(neg.f64 (-.f64 (neg.f64 (.f64 (.f64 p p) #s(literal 4 binary64))) (*.f64 x x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (.f64 p p) #s(literal 4 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 p p) #s(literal 4 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (.f64 p p) #s(literal 4 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 p p) #s(literal 4 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 p p) #s(literal 4 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 p p) #s(literal 4 binary64)))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))
(fma.f64 p (.f64 p #s(literal 4 binary64)) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))
(fma.f64 x x (.f64 (.f64 p p) #s(literal 4 binary64)))
(-.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))
(+.f64 (.f64 x x) (.f64 (*.f64 p p) #s(literal 4 binary64)))
(+.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 x x))
(.f64 (.f64 p p) #s(literal 4 binary64))
(.f64 (.f64 p #s(literal 4 binary64)) p)
(.f64 p (.f64 p #s(literal 4 binary64)))
(.f64 #s(literal 4 binary64) (.f64 p p))
(*.f64 p #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) p)
#s(literal 4 binary64)
p
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(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))))))) (+.f64 (neg.f64 (.f64 (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p p)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 p p) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 20 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64))) (.f64 (.f64 x x) #s(literal 2 binary64)))))) (.f64 p p)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (.f64 p p) (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 p p) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 (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)))))) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 p p) (.f64 (.f64 x x) (.f64 x x))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 p p) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal -10 binary64) (/.f64 #s(literal 3 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 p p)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 2 binary64))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 2 binary64)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 p p) (.f64 (.f64 x x) (.f64 x x))) #s(literal 6 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 p p) #s(literal 2 binary64)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -20 binary64) (/.f64 (.f64 p p) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 p p)) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 p p) #s(literal 2 binary64)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal 1 binary64))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 p p) (.f64 (.f64 x x) (.f64 x x))) #s(literal 6 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -20 binary64) (/.f64 (.f64 p p) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (/.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 p p)) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 p p) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) x)
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (fma.f64 (/.f64 (.f64 p p) (.f64 (.f64 x x) x)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) (.f64 p p) x))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 p p) (pow.f64 x #s(literal -5 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) x))) (.f64 p p) (/.f64 #s(literal 2 binary64) x)) (*.f64 p p) x))
#s(approx (+ (* (* 4 p) p) (* x x)) (*.f64 x x))
#s(approx (+ (* (* 4 p) p) (* x x)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
#s(approx (* (* 4 p) p) (.f64 (.f64 p p) #s(literal 4 binary64)))
#s(approx (* 4 p) (*.f64 p #s(literal 4 binary64)))
#s(approx p p)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (sqrt.f64 #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))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p p)) #s(literal -1/32 binary64) (.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p p)) #s(literal -1/32 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -3/64 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 p p) p)) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (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)))))) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 p p) p)) #s(literal -1/32 binary64) (*.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)))))) (+.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/256 binary64)) x) (pow.f64 p #s(literal -5 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 p p) p)) #s(literal -1/32 binary64) (*.f64 (/.f64 x p) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 1 binary64))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (fma.f64 (/.f64 x p) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 p p) p)) #s(literal -1/16 binary64) (*.f64 (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 (+.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/256 binary64)) x) (pow.f64 p #s(literal -5 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 p p) p)) #s(literal -1/16 binary64) (*.f64 (/.f64 x p) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 (/.f64 x p) #s(literal 1/2 binary64)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 p p)) #s(literal -1/16 binary64) (.f64 x #s(literal 1/2 binary64))) p))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/256 binary64)) x) (.f64 (.f64 p p) (.f64 p p)))) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 p p)) #s(literal -1/16 binary64) (.f64 x #s(literal 1/2 binary64)))) p))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/256 binary64)) x) (.f64 (.f64 p p) (.f64 p p)))) (neg.f64 (.f64 x (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/256 binary64)) (.f64 x x)) #s(literal 1/8 binary64) (.f64 #s(literal 1/256 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 p p)))))) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 p p)) #s(literal -1/16 binary64) (.f64 x #s(literal 1/2 binary64)))) p))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 p p))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (.f64 (fma.f64 (/.f64 (.f64 x x) (*.f64 p p)) #s(literal 1/4 binary64) #s(literal 2 binary64)) p))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 p p) (.f64 p p))) #s(literal -1/64 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 p p))) #s(literal 2 binary64)) p))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 p p) (.f64 p p))) #s(literal -1/64 binary64) (fma.f64 (pow.f64 (/.f64 (.f64 x x) (.f64 p p)) #s(literal 3 binary64)) #s(literal 1/512 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 p p)))) #s(literal 2 binary64)) p))
#s(approx (+ (* (* 4 p) p) (* x x)) (.f64 (.f64 p p) #s(literal 4 binary64)))
#s(approx (+ (* (* 4 p) p) (* x x)) (.f64 (+.f64 (/.f64 (.f64 x x) (.f64 p p)) #s(literal 4 binary64)) (.f64 p p)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/32 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/4 binary64))) p)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -3/64 binary64)) p)) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal -1/32 binary64) (.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64)))) p))) p)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 p p)) #s(literal -1/32 binary64) (.f64 #s(literal 1/4 binary64) x)) p)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/256 binary64)) x) (.f64 (.f64 p p) (.f64 p p))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 p p)) #s(literal -1/32 binary64) (.f64 #s(literal 1/4 binary64) x))) p)) #s(literal 1/2 binary64)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (fma.f64 (/.f64 x p) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 p p)) #s(literal -1/16 binary64) (.f64 x #s(literal 1/2 binary64))) p)) #s(literal 1 binary64)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/256 binary64)) x) (.f64 (.f64 p p) (.f64 p p)))) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 p p)) #s(literal -1/16 binary64) (.f64 x #s(literal 1/2 binary64)))) p)) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 (/.f64 x p) #s(literal -1/2 binary64)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 p p)) #s(literal -1/16 binary64) (.f64 x #s(literal 1/2 binary64))) p)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/256 binary64)) x) (.f64 (.f64 p p) (.f64 p p)))) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 p p)) #s(literal -1/16 binary64) (.f64 x #s(literal 1/2 binary64)))) p)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/256 binary64)) x) (.f64 (.f64 p p) (.f64 p p)))) (neg.f64 (.f64 x (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/256 binary64)) (.f64 x x)) #s(literal 1/8 binary64) (.f64 #s(literal 1/256 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 p p)))))) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 p p)) #s(literal -1/16 binary64) (.f64 x #s(literal 1/2 binary64)))) p)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 #s(literal -2 binary64) p))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 x x) (*.f64 p p)) #s(literal 1/4 binary64) #s(literal 2 binary64)) p)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 p p) (.f64 p p))) #s(literal -1/64 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 p p))) #s(literal 2 binary64)) p)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 p p) (.f64 p p))) #s(literal -1/64 binary64) (fma.f64 (pow.f64 (/.f64 (.f64 x x) (.f64 p p)) #s(literal 3 binary64)) #s(literal 1/512 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 p p)))) #s(literal 2 binary64)) p)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (*.f64 p p))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 (.f64 p p) p)) #s(literal -3/128 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p p))) x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (*.f64 p p) p)) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 x x) (pow.f64 p #s(literal -5 binary64))) #s(literal 3/512 binary64)) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 p p) p))) (.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) (.f64 (*.f64 p p) p)) #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 (-.f64 (.f64 (.f64 (.f64 x x) (pow.f64 p #s(literal -5 binary64))) #s(literal 3/256 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 p p) p))) (.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) (.f64 (.f64 p p) p)) #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 (-.f64 (.f64 (.f64 (.f64 x x) (pow.f64 p #s(literal -5 binary64))) #s(literal 3/256 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 p p) p))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) p)) x))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (pow.f64 p #s(literal -7 binary64))) #s(literal -5/2048 binary64) (.f64 (pow.f64 p #s(literal -5 binary64)) #s(literal 3/256 binary64))) (.f64 x x)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 p p) p))) (*.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 p p)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 p p) p)) #s(literal -1/64 binary64) (/.f64 #s(literal 1/4 binary64) p)) (.f64 x x) (+.f64 p p)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 x x) (pow.f64 p #s(literal -5 binary64))) #s(literal 1/512 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 p p) p))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) p)) (*.f64 x x) (+.f64 p p)))
#s(approx (* x x) (*.f64 x x))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (.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))))))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 p p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 1/2 binary64))) (.f64 p p)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (neg.f64 (.f64 (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 x x))) #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 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 p p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (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 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 x x)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 p p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (*.f64 x x))) #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 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 x x)))))
#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 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 p p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))))))
#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 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) #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 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 x x) (.f64 p p)) #s(literal 3 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 (/.f64 #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 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 p (.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 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 p (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 p p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 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))))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) p)) (*.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 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 p (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 p p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 p p)) #s(literal 2 binary64) (.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 144 binary64)) #s(literal 1/4 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 p p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 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 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 (.f64 p p) #s(literal 2 binary64))))) (.f64 (.f64 p (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 p p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 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))))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) p)) (*.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 (.f64 (.f64 p p) (.f64 p p)) #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 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 p p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 (.f64 x x) (.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 #s(literal 1/4 binary64) (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 p p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 p p)) #s(literal 2 binary64) (.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 144 binary64)) #s(literal 1/4 binary64)))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 p p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x x))) #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 (.f64 (.f64 p p) (.f64 p p)) #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 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 p p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 (.f64 x x) (.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 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 p p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 p p)) #s(literal 2 binary64) (.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 144 binary64)) #s(literal 1/4 binary64)))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 p p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x x))) #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)))) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (-.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 p p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #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 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) #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 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 x x) (.f64 p p)) #s(literal 3 binary64))) #s(literal 4 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1 binary64))))

eval25.0ms (0.5%)

Memory: 1.4MiB live, 48.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 356 to 1 144 computations (65.9% saved)

prune28.0ms (0.6%)

Memory

-24.4MiB live, 22.3MiB allocated; 2ms collecting garbage

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	163	16	179
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	164	16	180

Accuracy

96.3%

Counts

180 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.0%	(.f64 (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
▶	79.4%	(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
▶	76.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))))
	76.1%	(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))))))
	7.2%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))))))
	5.8%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)))))
	51.4%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
▶	50.4%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
	15.3%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (.f64 p p)) (*.f64 x x))))
	17.7%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
	26.8%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 (neg.f64 (/.f64 (.f64 p p) (.f64 x x))) #s(literal 1 binary64))))
	55.8%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
▶	27.2%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (neg.f64 (.f64 (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	20.4%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 p (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 p #s(literal 1 binary64))) x)))
	26.3%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (*.f64 p (/.f64 #s(literal 1 binary64) x))))
▶	36.5%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))

Compiler

Compiled 618 to 610 computations (1.3% saved)

series28.0ms (0.6%)

Memory

42.3MiB live, 42.3MiB allocated; 0ms collecting garbage

Counts

29 → 255

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	p	@	inf	((sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 1 1/2 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* -1/4 (/ x p)) 1/2) -1/4 (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ (neg (* (/ (* p p) (* x x)) 1/2)) 1) (neg (* (/ (* p p) (* x x)) 1/2)) (* (/ (* p p) (* x x)) 1/2) (/ (* p p) (* x x)) (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) (/ 1 (+ (* (* p p) 4) (* x x))))
4.0ms	x	@	-inf	((sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 1 1/2 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* -1/4 (/ x p)) 1/2) -1/4 (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ (neg (* (/ (* p p) (* x x)) 1/2)) 1) (neg (* (/ (* p p) (* x x)) 1/2)) (* (/ (* p p) (* x x)) 1/2) (/ (* p p) (* x x)) (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) (/ 1 (+ (* (* p p) 4) (* x x))))
3.0ms	x	@	inf	((sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 1 1/2 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* -1/4 (/ x p)) 1/2) -1/4 (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ (neg (* (/ (* p p) (* x x)) 1/2)) 1) (neg (* (/ (* p p) (* x x)) 1/2)) (* (/ (* p p) (* x x)) 1/2) (/ (* p p) (* x x)) (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) (/ 1 (+ (* (* p p) 4) (* x x))))
3.0ms	p	@	0	((sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 1 1/2 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* -1/4 (/ x p)) 1/2) -1/4 (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ (neg (* (/ (* p p) (* x x)) 1/2)) 1) (neg (* (/ (* p p) (* x x)) 1/2)) (* (/ (* p p) (* x x)) 1/2) (/ (* p p) (* x x)) (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) (/ 1 (+ (* (* p p) 4) (* x x))))
3.0ms	p	@	-inf	((sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 1 1/2 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* -1/4 (/ x p)) 1/2) -1/4 (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ (neg (* (/ (* p p) (* x x)) 1/2)) 1) (neg (* (/ (* p p) (* x x)) 1/2)) (* (/ (* p p) (* x x)) 1/2) (/ (* p p) (* x x)) (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) (/ 1 (+ (* (* p p) 4) (* x x))))

rewrite226.0ms (4.9%)

Memory

5.7MiB live, 311.9MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	905	11629
0	938	10137
1	5741	9940
0	8156	9427

Stop Event

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

Counts

284 → 443

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
x
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(*.f64 p p)
p
#s(literal 4 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
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#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #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 (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* -1/2 (/ x p)))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -2 p)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #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 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #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 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))))
#s(approx (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) #s(hole binary64 (+ 1 (* -1/2 (/ x p)))))
#s(approx (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))))
#s(approx (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)))))
#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ -1/2 p)))
#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1/16 (/ (pow x 2) (pow p 2)))) p))))
#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/16 (/ (pow x 2) (pow p 2))))) p))))
#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1 (/ (+ (* 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 2) (pow p 2)))))) p))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #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 (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #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 (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/2048 (/ (pow x 2) (pow p 7))) (* 3/256 (/ 1 (pow p 5))))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (* 1/4 (/ (pow x 2) p)) (* 2 p))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (sqrt (* 1/2 (+ 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 (+ (neg (* (/ (* p p) (* x x)) 1/2)) 1) #s(hole binary64 (/ (- (pow x 2) (* 1/2 (pow p 2))) (pow x 2))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #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 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #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 (/ 1 (+ (* (* p p) 4) (* x x))))) 1) #s(hole binary64 (+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))))
#s(approx (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) #s(hole binary64 (+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))))
#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))
#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))
#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* (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 (/ 1 (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (* -1/16 (/ (pow x 2) (pow p 4))) (* 1/4 (/ 1 (pow p 2))))))
#s(approx (/ 1 (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow p 6))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2))))))
#s(approx (/ 1 (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow p 8))) (* 1/64 (/ 1 (pow p 6))))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #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 (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #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 (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* 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 (+ (* (* p p) 4) (* 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 (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))))
#s(approx (+ (* (* p p) 4) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))))
#s(approx (* 1/2 (+ 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 (+ (* -1/4 (/ x p)) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) (* 1/4 (/ 1 p))))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #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 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #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 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #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 (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #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 (/ 1 (+ (* (* p p) 4) (* x x))))) 1) #s(hole binary64 (+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) #s(hole binary64 (+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))))
#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ (+ 1 (* -2 (/ (pow p 2) (pow x 2)))) x)))
#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* 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))))) x)))
#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* 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)))))) x)))
#s(approx (/ 1 (+ (* (* p p) 4) (* x x))) #s(hole binary64 (/ (+ 1 (* -4 (/ (pow p 2) (pow x 2)))) (pow x 2))))
#s(approx (/ 1 (+ (* (* p p) 4) (* x x))) #s(hole binary64 (/ (- (+ 1 (* 16 (/ (pow p 4) (pow x 4)))) (* 4 (/ (pow p 2) (pow x 2)))) (pow x 2))))
#s(approx (/ 1 (+ (* (* p p) 4) (* x x))) #s(hole binary64 (/ (- (+ 1 (* -64 (/ (pow p 6) (pow x 6)))) (+ (* -16 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 2) (pow x 2))))) (pow x 2))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #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 (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #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 (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #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 (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (* 2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2)))) (pow x 2))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2))))) (pow x 2))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 -1))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* 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 (+ (* (* p p) 4) (* 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 (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))))
#s(approx (sqrt (* 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 (+ (* -1/4 (/ x p)) 1/2) #s(hole binary64 (* -1 (* x (- (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #s(hole binary64 (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #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 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #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 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #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 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #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 (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #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 (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #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 (/ 1 (+ (* (* p p) 4) (* x x))))) 1) #s(hole binary64 (* 2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))))
#s(approx (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2)))) (pow x 2))))
#s(approx (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2))))) (pow x 2))))
#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (+ 1 (* -2 (/ (pow p 2) (pow x 2)))) x))))
#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x))))
#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (+ 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)))))) x))))

Outputs
(.f64 (pow.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))))
(pow.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
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(.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))) #s(literal 1/2 binary64))
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(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)))
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(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))
(neg.f64 (-.f64 (neg.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) x #s(literal 1 binary64))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) x)
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
x
(pow.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
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#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/256 binary64)) (.f64 (.f64 p p) (.f64 p p))))) (fma.f64 (/.f64 (.f64 x x) (.f64 p p)) #s(literal -1/16 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/256 binary64)) (.f64 x x)) #s(literal 1/8 binary64) (.f64 #s(literal 1/256 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))))) p)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (*.f64 p p))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 (.f64 p p) p)) #s(literal -3/128 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p p))) x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (*.f64 p p) p)) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 x x) (pow.f64 p #s(literal -5 binary64))) #s(literal 3/512 binary64)) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 p p) p))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))
#s(approx (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (*.f64 p p) p)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p)) x #s(literal 1 binary64)))
#s(approx (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 x x) (pow.f64 p #s(literal -5 binary64))) #s(literal 3/256 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 p p) p))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) p)) x #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 p p) p)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p)) x))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 x x) (pow.f64 p #s(literal -5 binary64))) #s(literal 3/256 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 p p) p))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) p)) x))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (pow.f64 p #s(literal -7 binary64))) #s(literal -5/2048 binary64) (.f64 (pow.f64 p #s(literal -5 binary64)) #s(literal 3/256 binary64))) (.f64 x x)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 p p) p))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) p)) x))
#s(approx x x)
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 x x) p) #s(literal 1/4 binary64) (+.f64 p p)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 p p) p)) #s(literal -1/64 binary64) (/.f64 #s(literal 1/4 binary64) p)) (.f64 x x) (+.f64 p p)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 x x) (pow.f64 p #s(literal -5 binary64))) #s(literal 1/512 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 p p) p))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) p)) (*.f64 x x) (+.f64 p p)))
#s(approx (* x x) (*.f64 x x))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (*.f64 p p))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 (.f64 p p) p)) #s(literal -3/128 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p p))) x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (*.f64 p p) p)) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 x x) (pow.f64 p #s(literal -5 binary64))) #s(literal 3/512 binary64)) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 p p) p))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))
#s(approx (+ (neg (* (/ (* p p) (* x x)) 1/2)) 1) (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (*.f64 p p))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 (.f64 p p) p)) #s(literal -3/128 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p p))) x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (*.f64 p p) p)) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 x x) (pow.f64 p #s(literal -5 binary64))) #s(literal 3/512 binary64)) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 p p) p))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))
#s(approx (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (*.f64 p p) p)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p)) x #s(literal 1 binary64)))
#s(approx (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 x x) (pow.f64 p #s(literal -5 binary64))) #s(literal 3/256 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 p p) p))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) p)) x #s(literal 1 binary64)))
#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) (fma.f64 (/.f64 (.f64 x x) (.f64 (*.f64 p p) p)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p)))
#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) (fma.f64 (-.f64 (.f64 (.f64 (.f64 x x) (pow.f64 p #s(literal -5 binary64))) #s(literal 3/256 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 p p) p))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) p)))
#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (pow.f64 p #s(literal -7 binary64))) #s(literal -5/2048 binary64) (.f64 (pow.f64 p #s(literal -5 binary64)) #s(literal 3/256 binary64))) (.f64 x x)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 p p) p))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) p)))
#s(approx (/ 1 (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 p p) (.f64 p p))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 p p))))
#s(approx (/ 1 (+ (* (* p p) 4) (* x x))) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p))) #s(literal 1/64 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 p p) (.f64 p p)))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 p p))))
#s(approx (/ 1 (+ (* (* p p) 4) (* x x))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (pow.f64 p #s(literal -8 binary64))) #s(literal -1/256 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))) (.f64 x x)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 p p) (.f64 p p)))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 p p))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (.f64 (.f64 p p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 1/2 binary64))) (.f64 p p)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 p p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/4 binary64) (neg.f64 (.f64 p (/.f64 p (*.f64 x x))))) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (+.f64 (fma.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (neg.f64 (.f64 p (/.f64 p (.f64 x x))))) #s(literal 1 binary64)))
#s(approx (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) (+.f64 (fma.f64 #s(literal -2 binary64) (.f64 p (/.f64 p (.f64 x x))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 x x)))))
#s(approx (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (*.f64 x x))) #s(literal 2 binary64)))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (+.f64 (fma.f64 #s(literal -2 binary64) (.f64 p (/.f64 p (.f64 x x))) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 x x)))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (*.f64 x x))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (.f64 (fma.f64 (.f64 p (/.f64 p (*.f64 x x))) #s(literal 2 binary64) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x))) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 x x) (.f64 p p)) #s(literal 3 binary64))) #s(literal 4 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1 binary64)) x))
#s(approx (+ (* (* p p) 4) (* x x)) (.f64 (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (.f64 (.f64 p p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 1/2 binary64))) (.f64 p p)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 p p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/4 binary64) (neg.f64 (.f64 p (/.f64 p (*.f64 x x))))) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (+.f64 (fma.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (neg.f64 (.f64 p (/.f64 p (.f64 x x))))) #s(literal 1 binary64)))
#s(approx (+ (* -1/4 (/ x p)) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) p)) x))
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#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (.f64 p (/.f64 p (.f64 x x))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (.f64 p p)) (*.f64 x x)))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4 binary64) (.f64 p p))) (.f64 x x)))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 p p)) #s(literal 2 binary64) (.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 144 binary64)) #s(literal 1/4 binary64)))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4 binary64) (.f64 p p)))) (*.f64 x x)))
#s(approx (+ (* -1/4 (/ x p)) 1/2) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (*.f64 p (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 p (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal 1 binary64) p)) x)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 p (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 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))))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) p)) (*.f64 #s(literal 1 binary64) p))) x)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 p (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 p p)) #s(literal 2 binary64) (.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 144 binary64)) #s(literal 1/4 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 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 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 (.f64 p p) #s(literal 2 binary64))))) (.f64 (.f64 p (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 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))))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) p)) (*.f64 #s(literal 1 binary64) p)))) x)))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (.f64 p (/.f64 p (.f64 x x))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (.f64 p p)) (*.f64 x x)))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4 binary64) (.f64 p p))) (.f64 x x)))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 p p)) #s(literal 2 binary64) (.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 144 binary64)) #s(literal 1/4 binary64)))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4 binary64) (.f64 p p)))) (*.f64 x x)))
#s(approx (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (.f64 (.f64 p p) #s(literal 2 binary64))) (.f64 x x)))
#s(approx (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64) (.f64 (.f64 p p) #s(literal 2 binary64)))) (*.f64 x x)))
#s(approx (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 p p)) #s(literal 2 binary64) (.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 144 binary64)) #s(literal 1/4 binary64)))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64) (.f64 (.f64 p p) #s(literal 2 binary64))))) (.f64 x x)))
#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) (/.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 p (/.f64 p (.f64 x x))) #s(literal 1 binary64)) x)))
#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (.f64 p (/.f64 p (.f64 x x))) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 x x)))) x)))
#s(approx (sqrt (/ 1 (+ (* (* p p) 4) (* x x)))) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (*.f64 x x))) #s(literal 1 binary64)) x)))

eval101.0ms (2.2%)

Memory: -6.0MiB live, 139.0MiB allocated; 86ms collecting garbage
Compiler: Compiled 5 784 to 2 161 computations (62.6% saved)

prune105.0ms (2.3%)

Memory

37.2MiB live, 91.8MiB allocated; 55ms collecting garbage

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	366	13	379
Fresh	9	2	11
Picked	3	2	5
Done	0	0	0
Total	378	17	395

Accuracy

97.1%

Counts

395 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.0%	(.f64 (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
▶	79.4%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	76.1%	(sqrt.f64 (.f64 (+.f64 (/.f64 x #s(approx (sqrt (+ ( (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
▶	7.3%	(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	5.8%	(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
▶	51.4%	(sqrt.f64 #s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
	15.3%	(sqrt.f64 #s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (.f64 p p)) (*.f64 x x))))
	21.5%	(sqrt.f64 #s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (.f64 p (/.f64 p (.f64 x x)))))
▶	55.8%	(sqrt.f64 #s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(literal 1/2 binary64)))
✓	50.4%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
	17.7%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
▶	27.2%	#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
	20.4%	#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 p (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal 1 binary64) p)) x)))
	26.3%	#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (*.f64 p (/.f64 #s(literal 1 binary64) x))))
	27.2%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 p p))) (*.f64 x x)))
	27.2%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal -1/2 binary64) (*.f64 p p))))))
✓	36.5%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))

Compiler

Compiled 645 to 637 computations (1.2% saved)

series34.0ms (0.7%)

Memory

32.4MiB live, 75.7MiB allocated; 11ms collecting garbage

Counts

31 → 203

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	((sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 1/2 (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (+ (* 1/4 (/ x p)) 1/2) 1/4 (/ x p) (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (+ (* (* p (/ p (* x x))) -1/2) 1) (* p (/ p (* x x))) (/ p (* x x)) -1/2 1 (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (+ (* (* p (/ p (* x x))) 2) -1) 2 -1)
5.0ms	x	@	-inf	((sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 1/2 (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (+ (* 1/4 (/ x p)) 1/2) 1/4 (/ x p) (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (+ (* (* p (/ p (* x x))) -1/2) 1) (* p (/ p (* x x))) (/ p (* x x)) -1/2 1 (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (+ (* (* p (/ p (* x x))) 2) -1) 2 -1)
3.0ms	x	@	inf	((sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 1/2 (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (+ (* 1/4 (/ x p)) 1/2) 1/4 (/ x p) (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (+ (* (* p (/ p (* x x))) -1/2) 1) (* p (/ p (* x x))) (/ p (* x x)) -1/2 1 (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (+ (* (* p (/ p (* x x))) 2) -1) 2 -1)
3.0ms	p	@	inf	((sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 1/2 (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (+ (* 1/4 (/ x p)) 1/2) 1/4 (/ x p) (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (+ (* (* p (/ p (* x x))) -1/2) 1) (* p (/ p (* x x))) (/ p (* x x)) -1/2 1 (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (+ (* (* p (/ p (* x x))) 2) -1) 2 -1)
3.0ms	p	@	-inf	((sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 1/2 (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (+ (* 1/4 (/ x p)) 1/2) 1/4 (/ x p) (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (+ (* (* p (/ p (* x x))) -1/2) 1) (* p (/ p (* x x))) (/ p (* x x)) -1/2 1 (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (+ (* (* p (/ p (* x x))) 2) -1) 2 -1)

rewrite285.0ms (6.2%)

Memory

-30.6MiB live, 261.6MiB allocated; 137ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	871	9302
0	898	8042
1	5893	8038
0	8084	7738

Stop Event

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

Counts

234 → 364

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
x
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(*.f64 p p)
p
#s(literal 4 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)
(sqrt.f64 #s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
(/.f64 x p)
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal -1/2 binary64) #s(literal 1 binary64))
(.f64 p (/.f64 p (.f64 x x)))
(/.f64 p (*.f64 x x))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal 2 binary64) #s(literal -1 binary64)))
(fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal 2 binary64) #s(literal -1 binary64))
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 1))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 x))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ x (* 2 (/ (pow p 2) x)))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x)))))))
#s(approx (+ (* (* p p) 4) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* p p) 4) (* x x)) #s(hole binary64 (+ (* 4 (pow p 2)) (pow x 2))))
#s(approx (* p p) #s(hole binary64 (pow p 2)))
#s(approx p #s(hole binary64 p))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #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 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #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 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(hole binary64 1))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #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 (+ (* 1/4 (/ x p)) 1/2) #s(hole binary64 (* 1/4 (/ x p))))
#s(approx (+ (* 1/4 (/ x p)) 1/2) #s(hole binary64 (/ (+ (* 1/4 x) (* 1/2 p)) p)))
#s(approx (/ x p) #s(hole binary64 (/ x p)))
#s(approx (+ (* (* p (/ p (* x x))) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* p (/ p (* x x))) -1/2) 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 (* x x)) #s(hole binary64 (/ p (pow x 2))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #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 (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 1))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 2))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 2 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* p (/ p (* x x))) 2) -1) #s(hole binary64 -1))
#s(approx (+ (* (* p (/ p (* x x))) 2) -1) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* 1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* 2 p)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))))
#s(approx (+ (* (* p p) 4) (* x x)) #s(hole binary64 (* 4 (pow p 2))))
#s(approx (+ (* (* p p) 4) (* x x)) #s(hole binary64 (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #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 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3))))))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(hole binary64 (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #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 (+ (* 1/4 (/ x p)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/4 (/ x p)) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (+ (* (* p (/ p (* x x))) -1/2) 1) #s(hole binary64 (* -1/2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ (* (* p (/ p (* x x))) -1/2) 1) #s(hole binary64 (* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p)))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #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 (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #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 (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 1/2))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 1))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* 1/2 (/ x p)))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #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 (+ (* (* p (/ p (* x x))) 2) -1) #s(hole binary64 (* 2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ (* (* p (/ p (* x x))) 2) -1) #s(hole binary64 (* (pow p 2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (pow p 2))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -2 p)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #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 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #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 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p)))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #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 (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #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 (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* -1/2 (/ x p)))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2)))))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/2048 (/ (pow x 2) (pow p 7))) (* 3/256 (/ 1 (pow p 5))))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (* 1/4 (/ (pow x 2) p)) (* 2 p))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #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 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3))))))))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #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 (+ (* (* p (/ p (* x x))) -1/2) 1) #s(hole binary64 (/ (+ (* -1/2 (pow p 2)) (pow x 2)) (pow x 2))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #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 (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #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 (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p)))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p)))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))))))
#s(approx (+ (* (* p (/ p (* x x))) 2) -1) #s(hole binary64 (/ (+ (* -1 (pow x 2)) (* 2 (pow p 2))) (pow x 2))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 (+ 1 (+ (* -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 (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* 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 (+ (* (* p p) 4) (* 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 (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))))
#s(approx (+ (* (* p p) 4) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #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 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #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 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #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 (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #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 (+ (* 1/4 (/ x p)) 1/2) #s(hole binary64 (* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #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 (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #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 (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2)) #s(hole binary64 (* -1 (/ p x))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) 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 (+ (* (* p p) 4) (* x x)))) #s(hole binary64 -1))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* 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 (+ (* (* p p) 4) (* 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 (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #s(hole binary64 (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #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 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #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 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) #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 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #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 (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #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 (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #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 (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #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 (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #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 (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #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 (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (* 2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2)))) (pow x 2))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2))))) (pow x 2))))

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

eval41.0ms (0.9%)

Memory: 30.5MiB live, 75.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 5 241 to 1 670 computations (68.1% saved)

prune30.0ms (0.6%)

Memory

-21.8MiB live, 23.5MiB allocated; 6ms collecting garbage

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	310	7	317
Fresh	8	2	10
Picked	0	5	5
Done	0	2	2
Total	318	16	334

Accuracy

97.1%

Counts

334 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.0%	(.f64 (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
✓	79.4%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	76.1%	(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	5.8%	(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	7.3%	(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	21.5%	(sqrt.f64 #s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (.f64 (/.f64 p (.f64 x x)) p)))
✓	51.4%	(sqrt.f64 #s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
✓	55.8%	(sqrt.f64 #s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(literal 1/2 binary64)))
✓	50.4%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
▶	17.7%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
✓	27.2%	#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
▶	27.2%	#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) (*.f64 x x)))
	27.2%	#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (*.f64 x x)))))
	20.4%	#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) p)) #s(literal 1/8 binary64) p) x)))
▶	26.4%	#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (/.f64 p x)))
✓	36.5%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))

Compiler

Compiled 472 to 466 computations (1.3% saved)

series34.0ms (0.7%)

Memory

-16.5MiB live, 36.8MiB allocated; 11ms collecting garbage

Counts

31 → 225

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite248.0ms (5.4%)

Memory

18.0MiB live, 249.2MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	990	11006
0	1022	9525
1	6798	9525
0	8043	9050

Stop Event

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

Counts

256 → 382

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))
(neg.f64 (-.f64 (neg.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) x #s(literal 1 binary64))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) x)
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) x))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
x
(pow.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 x x)))))
(neg.f64 (-.f64 (neg.f64 (.f64 (.f64 p p) #s(literal 4 binary64))) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 p p) #s(literal 4 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 p p) #s(literal 4 binary64)))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x))
(fma.f64 p (.f64 #s(literal 4 binary64) p) (.f64 x x))
(fma.f64 x x (.f64 (.f64 p p) #s(literal 4 binary64)))
(-.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))
(+.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 (*.f64 p p) #s(literal 4 binary64)))
(*.f64 (pow.f64 p #s(literal 1 binary64)) (pow.f64 p #s(literal 1 binary64)))
(*.f64 (fabs.f64 p) (fabs.f64 p))
(*.f64 (neg.f64 p) (neg.f64 p))
(*.f64 p p)
(pow.f64 (pow.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 p p) #s(literal 1 binary64))
(pow.f64 p #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 p) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 p) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 p) #s(literal 2 binary64))))
p
#s(literal 4 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (pow.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (/.f64 (neg.f64 p) x))
(*.f64 (/.f64 p x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 1 binary64) 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 (.f64 #s(literal 1 binary64) p) (/.f64 #s(literal 1 binary64) x))
(*.f64 p (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) p)) (neg.f64 x))
(/.f64 (neg.f64 p) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) p) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 1 binary64) p)))
(/.f64 #s(literal 1 binary64) (/.f64 x p))
(/.f64 p x)
(pow.f64 (pow.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (.f64 p (/.f64 p (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (.f64 p (/.f64 p (.f64 x x))))) #s(literal 1 binary64))
(pow.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (.f64 p (/.f64 p (.f64 x x)))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (.f64 p (/.f64 p (.f64 x x)))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (.f64 p (/.f64 p (.f64 x x))))
(*.f64 (/.f64 p x) (/.f64 p x))
(.f64 (.f64 p p) (/.f64 #s(literal 1 binary64) (*.f64 x 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 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 p p)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) (*.f64 x x)))
(.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) x) x)
(/.f64 (neg.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x))) (neg.f64 (*.f64 x x)))
(/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (*.f64 x x))))
(fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal -1/2 binary64) (/.f64 (.f64 x x) (.f64 x x)))
(fma.f64 #s(literal -1/2 binary64) (.f64 p (/.f64 p (.f64 x x))) (/.f64 (.f64 x x) (.f64 x x)))
(+.f64 (/.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (.f64 x x)) (/.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (.f64 (.f64 p p) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (.f64 (.f64 p p) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (*.f64 x x)))))
(neg.f64 (-.f64 (neg.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64))) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (.f64 (.f64 p p) #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 p p) #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 p p) #s(literal -1/2 binary64)))
(fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x))
(fma.f64 #s(literal -1/2 binary64) (.f64 p p) (.f64 x x))
(fma.f64 p (.f64 p #s(literal -1/2 binary64)) (.f64 x x))
(fma.f64 x x (.f64 (.f64 p p) #s(literal -1/2 binary64)))
(-.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) x))
(+.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 (*.f64 p p) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(.f64 (pow.f64 (+.f64 (/.f64 x #s(approx (sqrt (+ ( (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(.f64 (+.f64 (/.f64 x #s(approx (sqrt (+ ( (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64) x))) (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64) x)))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64) x))) (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (.f64 p p) x) #s(literal 2 binary64) x))) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ ( (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))))
(neg.f64 (-.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt (+ ( (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x)))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
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#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/256 binary64)) x) (.f64 (.f64 p p) (.f64 p p))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 p p)) #s(literal -1/32 binary64) (.f64 #s(literal 1/4 binary64) x))) p)) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (*.f64 p p))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 (.f64 p p) p)) #s(literal -3/128 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p p))) x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1)) (fma.f64 (fma.f64 (/.f64 x (*.f64 p p)) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 x (.f64 (.f64 p p) p)) #s(literal -3/128 binary64)) (/.f64 #s(literal 1/32 binary64) (.f64 p p))) x (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1 binary64)))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (*.f64 p p) p)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p)) x #s(literal 1 binary64)))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 x x) (pow.f64 p #s(literal -5 binary64))) #s(literal 3/256 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 p p) p))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) p)) x #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 p p) p)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p)) x))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 x x) (pow.f64 p #s(literal -5 binary64))) #s(literal 3/256 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 p p) p))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) p)) x))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (.f64 (fma.f64 (-.f64 (.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) (.f64 (.f64 p p) p))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) p)) x))
#s(approx x x)
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 x x) p) #s(literal 1/4 binary64) (+.f64 p p)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 p p) p)) #s(literal -1/64 binary64) (/.f64 #s(literal 1/4 binary64) p)) (.f64 x x) (+.f64 p p)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 x x) (pow.f64 p #s(literal -5 binary64))) #s(literal 1/512 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 p p) p))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) p)) (*.f64 x x) (+.f64 p p)))
#s(approx (* x x) (*.f64 x x))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (*.f64 p p))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 (.f64 p p) p)) #s(literal -3/128 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p p))) x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (*.f64 p p))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 (.f64 p p) p)) #s(literal -3/128 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p p))) x (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (*.f64 p p) p)) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 x x) (pow.f64 p #s(literal -5 binary64))) #s(literal 3/512 binary64)) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 p p) p))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* p p) -1/2) (* x x)) (* x x)) (/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) (*.f64 x x)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (fma.f64 (/.f64 x (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p p))) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 p p) p) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 p p) p))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/128 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 p p)))) x (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (*.f64 p p) p)) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 x x) (pow.f64 p #s(literal -5 binary64))) #s(literal 3/512 binary64)) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 p p) p))) (.f64 x x) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (* p p) x) 2) x) (/.f64 (fma.f64 (.f64 p p) #s(literal 2 binary64) (.f64 x x)) x))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (.f64 (.f64 p p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))) #s(literal -1/2 binary64)) (neg.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 1/2 binary64))) (.f64 p p)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 p p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1)) (+.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 p p) (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))) #s(literal -1/2 binary64)) (neg.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 1/2 binary64))) (.f64 p p)) #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (/.f64 (.f64 p p) (.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (+.f64 (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal -2 binary64) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 x x)))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (*.f64 x x))) #s(literal 2 binary64)))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (+.f64 (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 x x)))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (+.f64 (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (.f64 (fma.f64 (.f64 p (/.f64 p (*.f64 x x))) #s(literal 2 binary64) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x))) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 x x) (.f64 x x))) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 4 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1 binary64)) x))
#s(approx (+ (* (* p p) 4) (* x x)) (.f64 (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (.f64 (.f64 p p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))) #s(literal -1/2 binary64)) (neg.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 1/2 binary64))) (.f64 p p)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 p p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (.f64 (.f64 p p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))) #s(literal -1/2 binary64)) (neg.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 1/2 binary64))) (.f64 p p)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 p p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/4 binary64) (neg.f64 (.f64 p (/.f64 p (*.f64 x x))))) #s(literal 1 binary64)))
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#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (/.f64 (neg.f64 p) x))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) p) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal 1 binary64) p)) x)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) p) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 (.f64 p p) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) p)) (*.f64 #s(literal 1 binary64) p))) x)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) p) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))) (.f64 p p)) #s(literal 2 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) #s(literal 1/4 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 (.f64 p p) #s(literal 2 binary64))))) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 (.f64 p p) #s(literal 2 binary64))))) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) p) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 (.f64 p p) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) p)) (*.f64 #s(literal 1 binary64) p)))) x)))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (.f64 p (/.f64 p (.f64 x x))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (.f64 p p)) (*.f64 x x)))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4 binary64) (.f64 p p))) (.f64 x x)))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))) (.f64 p p)) #s(literal 2 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) #s(literal 1/4 binary64)))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4 binary64) (.f64 p p)))) (*.f64 x x)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (/.f64 (neg.f64 p) x))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) p)) #s(literal 1/8 binary64) p) x)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) p)) #s(literal 1/8 binary64) p) (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))) #s(literal 1/4 binary64) (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 p p)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) p)) #s(literal 1/2 binary64))) x)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) p)) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))) (.f64 p p)) #s(literal 2 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) #s(literal 1/4 binary64)))) #s(literal 1/4 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))) #s(literal 1/4 binary64) (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 p p)))) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 p p)))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) p)) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))) #s(literal 1/4 binary64) (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) (.f64 p p)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) p))))) p) x)))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (.f64 p (/.f64 p (.f64 x x))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (.f64 p p)) (*.f64 x x)))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4 binary64) (.f64 p p))) (.f64 x x)))
#s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))) (.f64 p p)) #s(literal 2 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64))) #s(literal 1/4 binary64)))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 p p)) #s(literal 2 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)))) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4 binary64) (.f64 p p)))) (*.f64 x x)))
#s(approx (+ (* (/ (* p p) x) 2) x) (.f64 (neg.f64 x) (fma.f64 (.f64 p (/.f64 p (*.f64 x x))) #s(literal -2 binary64) #s(literal -1 binary64))))

eval52.0ms (1.1%)

Memory: 5.2MiB live, 90.4MiB allocated; 21ms collecting garbage
Compiler: Compiled 5 821 to 1 877 computations (67.8% saved)

prune17.0ms (0.4%)

Memory

44.1MiB live, 44.1MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (4 fresh and 12 done)

	Pruned	Kept	Total
New	339	1	340
Fresh	1	3	4
Picked	0	5	5
Done	0	7	7
Total	340	16	356

Accuracy

97.1%

Counts

356 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.0%	(.f64 (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
✓	79.4%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	76.1%	(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	5.8%	(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	7.3%	(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	21.5%	(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (.f64 p (/.f64 p (.f64 x x)))))
✓	51.4%	(sqrt.f64 #s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
✓	55.8%	(sqrt.f64 #s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(literal 1/2 binary64)))
✓	50.4%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
✓	17.7%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
✓	27.2%	#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	27.2%	#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) (*.f64 x x)))
	27.2%	#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (*.f64 x x)))))
	20.4%	#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) p)) #s(literal 1/8 binary64) p) x)))
✓	26.4%	#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (/.f64 p x)))
✓	36.5%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(literal 1 binary64))

Compiler

Compiled 800 to 482 computations (39.8% saved)

regimes702.0ms (15.3%)

Memory

-150.1MiB live, 143.7MiB allocated; 972ms collecting garbage

Counts

38 → 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 (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (/.f64 p x)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (*.f64 p (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (*.f64 p (/.f64 #s(literal 1 binary64) 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)))))
(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
(sqrt.f64 #s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (.f64 p (/.f64 p (.f64 x x)))))
(sqrt.f64 #s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (.f64 (/.f64 p (.f64 x x)) p)))
(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (.f64 p (/.f64 p (.f64 x x)))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 (neg.f64 (/.f64 (.f64 p p) (.f64 x x))) #s(literal 1 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (neg.f64 (.f64 (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 p p))) (*.f64 x x)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) (*.f64 x x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal -1/2 binary64) (*.f64 p p))))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (*.f64 x x)))))
(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) #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)))) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))))))
(sqrt.f64 (.f64 (+.f64 (/.f64 x #s(approx (sqrt (+ ( (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(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 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(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 (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 (.f64 x x) p)) #s(literal 1/8 binary64) p) x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (.f64 p p)) (*.f64 x x))))
(sqrt.f64 #s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (.f64 x x)) #s(literal 1/4 binary64) (.f64 p p)) (*.f64 x x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 p (.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 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -12 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 p (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal 1 binary64) p)) x)))

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

Outputs

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

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

Calls

7 calls:

27.0ms	x
15.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
10.0ms	p
9.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
8.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))

Results

Accuracy	Segments	Branch
79.4%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
99.7%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.7%	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))))))`
99.7%	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)))))))`
79.4%	1	`p`
81.7%	2	`x`

Compiler

Compiled 53 to 56 computations (-5.7% saved)

regimes35.0ms (0.8%)

Memory

-34.6MiB live, 58.7MiB allocated; 16ms collecting garbage

Counts

28 → 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 (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (/.f64 p x)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (*.f64 p (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (*.f64 p (/.f64 #s(literal 1 binary64) 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)))))
(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
(sqrt.f64 #s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (.f64 p (/.f64 p (.f64 x x)))))
(sqrt.f64 #s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (.f64 (/.f64 p (.f64 x x)) p)))
(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (.f64 p (/.f64 p (.f64 x x)))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 (neg.f64 (/.f64 (.f64 p p) (.f64 x x))) #s(literal 1 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (neg.f64 (.f64 (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 p p))) (*.f64 x x)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) (*.f64 x x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal -1/2 binary64) (*.f64 p p))))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (*.f64 x x)))))
(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) #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)))) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))))))
(sqrt.f64 (.f64 (+.f64 (/.f64 x #s(approx (sqrt (+ ( (* p p) 4) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x))))))

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

Outputs

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

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

Calls

4 calls:

14.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
6.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
6.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
6.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))

Results

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

Compiler

Compiled 47 to 47 computations (0% saved)

regimes22.0ms (0.5%)

Memory

15.7MiB live, 62.7MiB allocated; 2ms collecting garbage

Counts

23 → 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 (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (/.f64 p x)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (*.f64 p (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (*.f64 p (/.f64 #s(literal 1 binary64) 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)))))
(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
(sqrt.f64 #s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (.f64 p (/.f64 p (.f64 x x)))))
(sqrt.f64 #s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (.f64 (/.f64 p (.f64 x x)) p)))
(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (.f64 p (/.f64 p (.f64 x x)))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 (neg.f64 (/.f64 (.f64 p p) (.f64 x x))) #s(literal 1 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (neg.f64 (.f64 (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 p p))) (*.f64 x x)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) (*.f64 x x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 x x (.f64 #s(literal -1/2 binary64) (*.f64 p p))))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (*.f64 x x)))))

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.3%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.3%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.3%	3	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.3%	3	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 47 to 47 computations (0% saved)

regimes31.0ms (0.7%)

Memory

-19.1MiB live, 27.7MiB allocated; 2ms collecting garbage

Counts

21 → 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 (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (/.f64 p x)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (*.f64 p (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (*.f64 p (/.f64 #s(literal 1 binary64) 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)))))
(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
(sqrt.f64 #s(approx (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) (.f64 p (/.f64 p (.f64 x x)))))
(sqrt.f64 #s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (.f64 (/.f64 p (.f64 x x)) p)))
(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1/2) 1/2) (.f64 p (/.f64 p (.f64 x x)))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (fma.f64 (.f64 p (/.f64 p (.f64 x x))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 (neg.f64 (/.f64 (.f64 p p) (.f64 x x))) #s(literal 1 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (neg.f64 (.f64 (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 p p))) (*.f64 x x)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (/.f64 (fma.f64 (.f64 p p) #s(literal -1/2 binary64) (.f64 x x)) (*.f64 x x)))

Outputs

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

Calls

4 calls:

16.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
4.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
4.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
4.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))

Results

Accuracy	Segments	Branch
99.3%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.3%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.3%	3	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.3%	3	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 47 to 47 computations (0% saved)

regimes15.0ms (0.3%)

Memory

28.6MiB live, 28.6MiB allocated; 0ms collecting garbage

Counts

16 → 3

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.1%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.1%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.1%	3	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.1%	3	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 47 to 47 computations (0% saved)

regimes12.0ms (0.3%)

Memory

-18.8MiB live, 28.1MiB allocated; 1ms collecting garbage

Counts

10 → 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 (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (/.f64 p x)))
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (*.f64 p (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (* 1/2 (+ (* x (sqrt (/ 1 (+ (* (* p p) 4) (* x x))))) 1))) (neg.f64 (*.f64 p (/.f64 #s(literal 1 binary64) 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)))))
(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))

Outputs

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

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

Results

Accuracy	Segments	Branch
98.8%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
98.8%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
98.8%	3	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
98.8%	3	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 47 to 47 computations (0% saved)

regimes10.0ms (0.2%)

Memory

26.9MiB live, 26.9MiB 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 (/ 1 (+ (* (* p p) 4) (* x x))))) 1)) #s(literal 1/2 binary64)))

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
70.0%	2	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
70.0%	2	`p`
63.7%	2	`x`
75.9%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
75.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
75.9%	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))))))`
75.9%	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 53 to 56 computations (-5.7% saved)

regimes8.0ms (0.2%)

Memory

-32.9MiB live, 17.4MiB allocated; 4ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

3.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
1.0ms	x
1.0ms	p
1.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
1.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Results

Accuracy	Segments	Branch
36.5%	1	`x`
36.5%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
36.5%	1	`p`
36.5%	1	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
36.5%	1	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
36.5%	1	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
36.5%	1	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 53 to 56 computations (-5.7% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.8847369398631546e-5	6.432118377295343e-5

Compiler

Compiled 17 to 19 computations (-11.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.432118377295343e-5	0.7071067811865025

Compiler

Compiled 17 to 19 computations (-11.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7071210523068806	0.9996432245659381
0.0ms	6.432118377295343e-5	0.7071067811865025

Compiler

Compiled 17 to 19 computations (-11.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7071210523068806	0.9996432245659381
0.0ms	6.432118377295343e-5	0.7071067811865025

Compiler

Compiled 17 to 19 computations (-11.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7071210523068806	0.9996432245659381
0.0ms	6.432118377295343e-5	0.7071067811865025

Compiler

Compiled 17 to 19 computations (-11.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7071210523068806	0.9996432245659381
0.0ms	6.432118377295343e-5	0.7071067811865025

Compiler

Compiled 17 to 19 computations (-11.8% saved)

bsearch4.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	0.7071210523068806	0.9996432245659381

Samples

1.0ms

64×

valid

Compiler

Compiled 145 to 155 computations (-6.9% saved)

Precisions

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

adjust: 0.0ms (0% of total)

derivations215.0ms (4.7%)

Memory

-9.5MiB live, 271.5MiB allocated; 19ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 148 to 89 computations (39.9% saved)

preprocess196.0ms (4.3%)

Memory: 8.2MiB live, 198.9MiB allocated; 63ms collecting garbage
Remove: (abs p)
Compiler: Compiled 951 to 785 computations (17.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze329.0ms (7.2%)

sample1.5s (32.2%)

preprocess39.0ms (0.9%)

series26.0ms (0.6%)

rewrite210.0ms (4.6%)

eval25.0ms (0.5%)

prune28.0ms (0.6%)

series28.0ms (0.6%)

rewrite226.0ms (4.9%)

eval101.0ms (2.2%)

prune105.0ms (2.3%)

series34.0ms (0.7%)

rewrite285.0ms (6.2%)

eval41.0ms (0.9%)

prune30.0ms (0.6%)

series34.0ms (0.7%)

rewrite248.0ms (5.4%)

eval52.0ms (1.1%)

prune17.0ms (0.4%)

regimes702.0ms (15.3%)

regimes35.0ms (0.8%)

regimes22.0ms (0.5%)

regimes31.0ms (0.7%)

regimes15.0ms (0.3%)

regimes12.0ms (0.3%)

regimes10.0ms (0.2%)

regimes8.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch4.0ms (0.1%)

derivations215.0ms (4.7%)

preprocess196.0ms (4.3%)

end0.0ms (0%)

Profiling